I I •* I* 41? X" lj I If It A 11 1 ftinivmitu of (lalifantia No Division Range, Shelf.** Received *»-^ ^mv^fc* > £>«> :>y>^£&> SMerr^ FRAGMENTS OE SCIENCE FOR UNSCIENTIFIC PEOPLE: A SERIES OF DETACHED ESSAYS, LECTURES, AND REVIEWS. BY JOHN TYNDALL, LL. D., F. R. S., AUTHOR OF "HEAT AS A "™"* IF rnrtir" "T— rrrrn ON SOUND," ETC., ETC. NEwTORK : D. APPLETON AND COMPANY, 549 & 551 BROADWAY. 1871. PKEFAOE. MY MOTIVE in writing these papers was mainly that which prompted the publication of my Koyal Institu tion lectures ; a desire, namely, to extend sympathy for science beyond the limits of the scientific public. The fulfilment of this desire has caused a tempo rary and sometimes reluctant deflection of thought from the line of original research. But considering the result aimed at, and in part I trust achieved, I do not regret the price paid for it. I have carefully looked over all the articles here printed, added a little, omitted a little — in fact, tried as far as my time permitted to render the work pre sentable. Most of the essays are of a purely scien tific character, and from those which are not, I have endeavored, without veiling my convictions, to exclude every word that could cause needless irritation. From America the impulse came which induced me to gather these " Fragments " together, and to my friends in the United States I dedicate them. JOHN TYNDALL. CLUB : March, 1871. CONTENTS. I. — THE CONSTITUTION OP NATURE, .... 7 II. — THOUGHTS ON PRAYER AND NATURAL LAW, . . 33 III. — MIRACLES AND SPECIAL PROVIDENCES, . . , . 43 IV. — MATTER AND FORCE, . . . . . 71 V. — AN ADDRESS TO STUDENTS, . . . . .95 VI. — SCOPE AND LIMIT OF SCIENTIFIC MATERIALISM, . 107 .'VII. — SCIENTIFIC USE OF THE IMAGINATION, . . .125 VIII.— ON RADIATION, . . . . .167 A IX. — ON RADIANT HEAT IN RELATION TO THE COLOR AND CHEMI CAL CONSTITUTION OF BODIES, . . .211 X. — ON CHEMICAL RAYS AND THE STRUCTURE AND LIGHT OF THE SKY, . . . . . . 235 XI. — DUST AND DISEASE, ..... 275 ADDITION TO " DUST AND DISEASE," . . . 323 XII.: — LIFE AND LETTERS OF FARADAY, . . . 329 XIII. — AN ELEMENTARY LECTURE ON MAGNETISM, . . 353 XIV. — SHORTER ARTICLES: SLATES, ...... 377 DEATH BY LIGHTNING, .... 397 SCIENCE AND SPIRITS, .... 402 VITALITY, . . . . . .410 ADDITIONAL REMARKS ON MIRACLES, . . 418 I. THE CONSTITUTION OF NATURE. " .. AN ESSAY. \FortnigJitly Review, vol. iii. p. 129.] " The gentle Mother of all Showed me the lore of colors and of sounds ; The innumerable tenements of beauty ; The miracle of generative force ; Far-reaching concords of Astronomy Felt in the plants and in the punctual birds ; Mainly, the linked purpose of the whole ; And, chiefest prize, found I true liberty — The home of homed plain-dealing Nature gave/' RALPH WALDO ESIERSOX. I. THE CONSTITUTION OF NATURE. WE cannot think of space as finite, for wherever in imagination we erect a boundary we are compelled to think of space as existing beyond that boundary. Thus by the incessant dissolution of limits we arrive at a more or less adequate idea of the infinity of space. But though com pelled to think of space as unbounded, there is no mental necessity to compel us to think of it either as filled or as empty ; whether it is filled or empty must be decided by experiment and observation. That it is not entirely void, the starry heavens declare ; but the question still remains, Are the stars themselves hung in vacua? Are the vast regions which surround them, and across which their light is propagated, absolutely empty ? A century ago the answer to this question would be, " No, for particles of light are incessantly shot through space." The reply of modern science is also negative, but on a somewhat differ ent ground. It has the best possible reasons for rejecting the idea of luminiferous particles ; but, in support of the conclusion that the celestial spaces are occupied by matter, it is able to offer proofs almost as cogent as those which can be adduced for the existence of an atmosphere round the earth. Men's minds, indeed, rose to a conception of the celestial and universal atmosphere through the study of the terrestrial and local one. From the phenomena of sound as displayed in the air, they ascended to the phe- 10 FRAGMENTS OF SCIENCE. nomena of light as displayed in the ether / which is the name given to the interstellar medium. The notion of this medium must not be considered as a vague or fanciful conception on the part of scientific men. Of its reality most of them are as convinced as they are of the existence of the sun and moon. The luminiferous ether has definite mechanical properties. It is almost infinitely more attenuated than any known gas, but its properties are those of a solid rather than of a gas. It resembles jelly rather than air. A body thus constituted may have its boundaries ; but, although the ether may not be coexten sive with space, we at all events know that it extends as far as the most distant visible stars. In fact, it is the ve hicle of their light, and without it they could not be seen. This all-pervading substance takes up their molecular tre mors, and conveys them with inconceivable rapidity to our or gans of vision. It is the transported shiver of bodies count less millions of miles distant, which translates itself in human consciousness into the splendor of the firmament at night. If the ether have a boundary, masses of ponderable matter might be conceived to exist beyond it, but they could emit no light. Beyond the ether dark suns might burn ; there, under proper conditions, combustion might be carried on ; fuel might consume unseen, and metals be heated to fusion in invisible fires. A body, moreover, once heated there, would continue forever heated ; a sun or planet, once molten, would continue forever molten. For, the loss of heat being simply the abstraction of molecular motion by the ether, where this medium is absent no cool ing could occur. A sentient being, on approaching a heated body in this region, would be conscious of no augmentation of temperature. The gradations of warmth dependent on the laws of radiation would not exist, and actual contact would first reveal the heat of an extra ethereal sun. Imagine a paddle-wheel placed in water and caused to THE CONSTITUTION OF NATURE. H rotate. From it, as a centre, waves would issue in all directions, and a wader, as he approached the place of dis turbance, would be met by stronger and stronger waves. This gradual augmentation of the impressions made upon the wader's body is exactly analogous to the augmentation of light when wre approach a luminous source. In the one case, however, the coarse common nerves of the body suf fice ; for the other we must have the finer optic nerve. But suppose the water withdrawn; the action at a distance would then cease, and, as far as the sense of touch is con cerned, the wader would be first rendered conscious of the motion of the wheel by the actual blow of the paddles. The transference of motion from the paddles to the water is mechanically similar to the transference of molecular motion from the heated body to the ether ; and the propa gation of waves through the liquid is mechanically similar to the propagation of light and radiant heat. As far as our knowledge of space extends, we are to conceive it as the holder of the luminiferous ether, through which are interspersed, at enormous distances apart, the ponderous nuclei of the stars. Associated with the star that most concerns us we have a group of dark planetary masses revolving at various distances round it, each again rotating on its own axis ; and, finally, associated with some of these planets we have dark bodies of minor note — the moons. Whether the other fixed stars have similar plane tary companions or not is to us a matter of pure conjecture, which may or may not enter into our conception of the universe. But, probably, every thoughtful person believes, with regard to those distant suns, that there is in space something besides our system on which they shine. Having thus obtained a general view of the present condition of space, and of the bodies contained in it, we may inquire whether things were so created at the begin ning. Was space furnished at once, 'by the fiat of Omnipo- FRAGMENTS OF mi-M K 1, with these burning orbs? To this question the mail of science, if he confine himself within his own limits, will give no answer, though it must be remarked that in the formation of an opinion he has better materials to guide him than anybody else. He can clearly show, however, that the present state of things may be derivative. He can even assign reasons which render probable its deriva tive origin — that it was not originally what it now is. At all events, he can prove that out of common non-luminous matter this whole pomp of stars might have been evolved. The law of gravitation enunciated by Newton is, that every particle of matter in the universe attracts every other particle with a force which diminishes as the square of the distance increases. Thus the sun and the earth mutually pull each other ; thus the earth and the moon are kept in company ; the force which holds every respective pair of masses together being the integrated force of their com ponent parts. Under the operation of this force, a stone falls to the ground and is warmed by the shock ; under its operation meteors plunge into our atmosphere and rise to incandescence. Showers of such doubtless fall incessant ly upon the sun. Acted on by this force, were it stopped in its orbit to-morrow, the earth would rush toward, and finally combine with, the sun. Heat would also be developed by this collision, and Mayer, Helmholtz, and Thomson, have calculated its amount. It would equal that produced by the combustion of more than five thousand worlds of solid coal, all this heat being generated at the instant of collision. In the attraction of gravity, therefore, acting upon non- luminous matter, we have a source of heat more powerful than could be derived from any terrestrial combustion. And were the matter of the universe cast in cold detached frag ments into space, and there abandoned to the mutual gravi tation of its own parts, the collision of the fragments would in the end produce tin* fnvs of the stars. THE CONSTITUTION OF NATURE. 13 The action of gravity upon matter originally cold may, in fact, be the origin of all light and heat, and the proxi mate source of such other powers as are generated by light and heat. But we have now to inquire what is the light and what is the heat thus produced ? This question has already been answered in a general way. Both light and heat are modes of motion. Two planets clash and come to rest; their motion, considered as masses, is de stroyed, but it is really continued as a motion of their ultimate particles. It is this motion, taken up by the ether, and propagated through it with a velocity of one hundred and eighty-five thousand miles a second, that comes to us as the light and heat of suns and stars. The atoms of a hot body swing with inconceivable rapidity, but this power of vibration necessarily implies the operation of forces between the atoms themselves. It reveals to us that, while they are held together by one force, they are kept asunder by another, their position at any moment de pending on the equilibrium of attraction and repulsion. The atoms are virtually connected by elastic springs, which op pose at the same time their approach and their retreat, but which tolerate the vibration called heat. When two bod ies drawn together by the force of gravity strike each other, the intensity of the ultimate vibration, or, in other words, the amount of heat generated, is proportional to the vis viva destroyed by the collision. The molecular motion once set up is instantly shared with the ether, and diffused by it throughout space. We on the earth's surface live night and day in the midst of ethereal commotion. The medium is never still. The cloud-canopy above us may be thick enough to shut out the light of the stars, but this canopy is itself a warm body, which radiates its motion through the ether. The earth also is warm, and sends its heat-pulses incessantly forth. It is the waste of its molecular motion in space 14 FRAGMENTS OF SCIENCE. that chills the earth upon a clear night ; it is the return of its motion from the clouds which prevents the earth's temperature on a cloudy night from falling so low. To the conception of space being filled, we must therefore add the conception of its being in a state of incessant tremor. The sources of vibration are the ponderable masses of the universe. Let us take a sample of these and examine it in detail. When we look to our planet we find it to be an aggregate of solids, liquids, and gases. When we look at any one of these, we generally find it composed of still more elementary parts. We learn, for example, that the water of our rivers is formed by the union, in definite pro portions, of two gases, oxygen and hydrogen. We know how to bring these constituents together, and to cause them to form water : we also know how to analyze the water, and recover from it its two constituents. So, likewise, as regards the solid proportions of the earth. Our chalk-hills, for example, are formed by a combination of carbon, oxy gen, and calcium. These are elements the union of which, in definite proportions, has resulted in the formation of chalk. The flints within the chalk we know to be a com pound of oxygen and silicium, called silica; and our or dinary clay is, for the most part, formed by the union of silicium, oxygen, and the well-known light metal, alumin ium. By far the greater portion of the earth's crust is compounded of the elementary substances mentioned in these few lines. The principle of gravitation has been already described Bfl an attraction which every particle of matter, however small, has for every other particle. With gravity there is no selection; no particular atoms choose, by preference, oilier particular atoms as objects of attraction ; the attrac tion of gravitation is proportional to the quantity of the attracting matter, regardless of its (jualiiy. But in the molecular world which we have now entered matters are THE CONSTITUTION OF NATURE. 15 otherwise arranged. Here we have atoms between which a strong attraction is exercised, and also atoms between which a weak attraction is exercised. One atom can jostle another out of its place in virtue of a superior force of at traction. But though the amount of force exerted varies thus from atom to atom, it is still an attraction of the same mechanical quality, if I may use the term, as that of grav ity itself. Its intensity might be measured in the same way, namely, by the amount of motion which it can impart in a certain time. Thus the attraction of gravity at the earth's surface is expressed by the number thirty-two, be cause, when acting freely on a body for a second of time, it imparts to the body a velocity of thirty-two feet a second. In like manner the mutual attraction of oxygen and hydro gen might be measured by the velocity imparted to the atoms in their rushing together. Of course such a unit of time as a second is not here to be thought of, the whole interval required by the atoms to cross the minute spaces which separate them not amounting probably to more than an inconceivably small fraction of a second. It has been stated that when a body falls to the earth it is warmed by the shock. Here we have what we may call a mechanical combination of the earth and the body. Suffer the falling body and the earth to dwindle in imagi nation to the size of atoms, and for the attraction of grav ity substitute that of chemical affinity, which is the name given to the molecular attraction, we have then what is called a chemical combination. The effect of the union in this case also is the development of heat, and from the amount of heat generated we can infer the intensity of the atomic pull. Measured by ordinary mechanical standards, this is enormous. Mix eight pounds of oxygen with one of hydrogen, and pass a spark through the mixture ; the gases instantly combine, their atoms rushing over the little distances between them. Take a weight of forty-seven 10 LGMENTS ol-' thousand pounds to mi elevation of one thousand feet above i he earth's surface, and let it fall; the energy with which it would strike the earth would not exceed that of the, eight pounds of oxygen atoms as they dash against one pound of hydrogen atoms to form water. It is sometimes stated that the force of gravity is dis- tinir lushed from all other forces by the fact of its resisting ron version into any other. Chemical affinity, it is said, can be converted into heat and light, and these again into magnetism and electricity. But gravity refuses to be so converted ; it is a force which maintains itself under all circumstances, and is not capable of disappearing to give p!a«-e to another. If by this is meant that a particle of matter can never be deprived of its weight, the assertion is correct ; but the law which affirms the convertibility of natural forces was never meant, in the minds of those who understood it, to affirm that such a conversion as that here implied occurs in any case whatever. As regards converti- bility into heat, gravity and chemical affinity stand on pre cisely the same footing. The attraction in the one case is as indestructible as in the other. Nobody affirms that when a stone rests upon the surface of the earth the mutual attraction of the earth and stone is abolished; nobody means to affirm that the mutual attraction ol oxygen for hvdrogcn ceases after the atoms have combined to form water. What is meant in the case of chemical affinity is, that the pull of that affinity, acting through a certain space, imparts a motion of translation of the one atom toward the other. This motion of translation is not heat, nor is the force that produces it heat. But when the atoms strike and recoil, the motion of translation is converted into a motion of vibration, and this latter motion is heat. But the vibra tion, SO far from causing llir extinction of the original ai- traction, is in part carried on by that a itruct i HL The atoms recoil in virtue of the elastic force which opposes actual THE CONSTITUTION OF NATURE. 17 contact, and in the recoil they are driven too far back. The original attraction then triumphs over the force of recoil, and urges the atoms once more together. Thus, like a pen dulum, they oscillate, until their motion is imparted to the surrounding ether ; or, in other words, until their heat be comes radiant heat. In this sense, and in this sense only, is chemical affinity converted into heat. There is, first of all, the attraction between the atoms ; there is, secondly, space between them. Across this space the attraction urges them. They collide, they recoil, they oscillate. There is a change in the form of the motion, but there is no real loss. It is so with the attraction of gravity. To produce motion here, space must also intervene between the attracting bodies : when they strike motion is apparently destroyed, but in reality there is no destruction. Their atoms are suddenly urged together by the shock ; by their own perfect elasticity these atoms recoil ; and thus is set up the molecular oscillation which announces itself to the nerves as heat. It was formerly universally supposed that by the colli sion of unelastic bodies force was destroyed. Men saw, for example, when two spheres of clay, or painter's putty, or lead, were urged together, that the motion possessed by the masses prior to impact was more or less annihilated. They believed in an absolute destruction of the force of impact. Until recent times, indeed, no difficulty was ex perienced in believing this, whereas, at present, the ideas of force and its destruction refuse to be united in most philosophic minds. In the collision of elastic bodies, on the contrary, it was observed that the motion with which they clashed together was in great part restored by the resiliency of the masses, the more perfect the elasticity the more com plete being the restitution. This led to the idea of perfectly elastic bodies — bodies competent to restore by their recoil the whole of the motion which they possessed before impact. 18 1 RAGMENTS OF SCIENCE. Hence the idea of the conservation of force, as opposed to the destruction of force, which was supposed to occur when inelastic bodies met in collision. We now know that the principle of conservation holds equally good with elastic and unelastic bodies. Perfectly elastic bodies develop no heat on collision. They retain their motion afterward, though its direction may be changed ; and it is only wThen sensible motion is, in w7hole or in part, destroyed that heat is generated. This always occurs in unelastic collision, the heat developed being the exact equivalent of the motion extinguished. This heat virtually declares that the property of elasticity, denied to the masses, exists among their atoms, and by their recoil and oscillation the principle of conservation is vindicated. But ambiguity in the use of the term " force " has been for some time more and more creeping upon us. We called the attraction of gravity a force without any reference to motion. A body resting on a shelf is as much pulled by gravity as when after having been pushed off the shelf it falls toward the earth. We applied the term force also to that molecular attraction which we called chemical affinity. When, however, we spoke of the conservation of force in the case of elastic collision, we meant neither a pull nor a push, which, as just indicated, might be exerted upon inert matter, but we meant the moving force, if I may use the term, of the colliding masses. What I have called moving force has a definite me chanical measure in the amount of work that it can perform. The simplest form of work is the raising of a weight. A man walking up-hill or up-stairs with a pound weight in his hand, to an elevation say of sixteen feet, performs a cer tain amount of work over and above the lifting of his own body. If he ascend to a height of thirty-two feet, he does twii-e the work; if to a height of forty-eight feet, he does ihn-p times the work; if to sixty-four feet, he does four THE CONSTITUTION OF NATURE. 19 times the work, and so on. If, moreover, he carries up two pounds instead of one, other things being equal, he does twice the work ; if three, four, or five pounds, he does three, four, or five times the work. In fact, it is plain that the work performed depends on two factors, the weight raised and the height to which it is raised. It is expressed by the product of these two factors. But a body may be caused to reach a certain elevation in opposition to the force of gravity, without being actually carried up to the elevation. If a hodman, for example, wished to land a brick at an elevation of sixteen feet above the place where he stands, he would probably pitch it up to the bricklayer. He would thus impart, by a sudden effort, a velocity to the brick sufficient to raise it to the required height; the work accomplished by that effort being pre cisely the same as if he had slowly carried up the brick. The initial velocity which must be imparted in the case here assumed, is well known. To reach a height of sixteen feet, the brick must quit the man's hand with a velocity of thirty-two feet a second. It is needless to say that a body starting with any velocity, would, if wholly unopposed or unaided, continue to move forever with the same velocity. But when, in the case before us, the body is thrown upward, it moves in opposition to gravity, which incessantly retards its motion, and finally brings it to rest at an elevation of sixteen feet. If not here caught by the bricklayer, it would return to the hodman with an accelerated motion, and reach his hand with the precise velocity it possessed on quitting it. Supposing the man competent to impart to the brick, at starting, a speed of sixty-four feet a second, or twice its former speed, would the amount of work performed in this effort be only twice what it was in the first instance ? No ; it would be four times that quantity. A body starting with twice the velocity of another, will rise to four times the 20 FRAGMENTS OF SCIENCE. height; in like manner, a threefold velocity will give a ninefold elevation, a fourfold velocity will give a sixteen- fold elevation, and so on. The height attained, then, or the work done, is not proportional to the velocity, but to the square of the velocity. As before, the work is also pro portional to the weight elevated. Hence the work which any moving masses whatever arc competent to perform, .by the motion which they at any moment possess, is jointly proportional to the weight and the square of the velocity. Here, then, we have a second measure of work, in which we simply translate the idea of height into its equivalent idea of motion. In mechanics, the product of the mass of a moving body into the square of its velocity, expresses what is called the vis viva, or living force. It is also sometimes called the " mechanical effect." If, for example, we point a cannon upward, and start a ball with twice the velocity imparted by a second cannon, the ball will rise to four times the height. The speedier ball, if directed against a target, will also do four times the execution. Hence the importance of imparting a high velocity to projectiles in war. Having thus cleared our way to a perfectly clear conception of the vis viva of moving masses, we are prepared for the an nouncement that the heat generated by the collision of a falling body against the earth is proportional to the vis viva annihilated. In point of fact it is not an annihilation at all, but a transference of vis viva from the mass, to its ultimate particles. This, as we now learn, is proportional to the square of the velocity. In the case, therefore, of two cannon-balls of equal weight, if one strike a target with twice the velocity of the other, it will generate four times the heat ; if with three times the velocity, it will generate nine times the heat, and so on. Mr. Joule lias shown that in falling from a height of 772 feet, a body will generate an amount of heat sufficient to THE CONSTITUTION OF NATURE. 21 raise its own weight of water one degree Fahrenheit in temperature. "We have here the mechanical equivalent of heat. Now, a body falling from a height of 772 feet, has, upon striking the earth, a velocity of 223 feet a second ; and if this velocity were imparted to a body, by any other means, the quantity of heat generated by the stoppage of its motion would be that stated above. Six times that ve locity, or 1,338 feet, would not be an inordinate one for a cannon-ball as it quits the gun ; but if animated by six times the velocity, thirty-six times the heat will be gener ated by the stoppage of its motion. Hence a cannon-ball moving with a velocity of 1,338 feet a second, would, by collision, generate an amount of heat competent to raise its own weight of water 36 degrees Fahrenheit in tempera ture. If composed of iron, and if all the heat generated were concentrated in the ball itself, its temperature would be raised about 360 degrees Fahrenheit ; because one de gree in the case of water is equivalent to about ten de grees in the case of iron. In artillery practice the heat generated is usually concentrated upon the front of the bolt, and on the portion of the target first struck. By this concentration the heat developed may become sufficiently intense to raise the dust of the metal to incandescence, a flash of light often accompanying collision with the target. Let us now fix our attention for a moment on the gun powder which urges the cannon-ball. This is composed of combustible matter, which if burnt in the open air would yield a certain amount of heat. It will not yield this amount if it performs the work of urging a ball. The heat then generated by the gunpowder will fall short of that produced in the open air, by an amount equivalent to the vis viva of the ball ; and this exact amount is restored by the ball on its collision with the target. In this perfect way are heat and mechanical motion connected. Broadly enunciated, the principle of the conservation 22 FRAGMENTS OF SCIENCE. of force asserts that the quantity of force in the universe is as unalterable as the quantity of matter ; that it is alike impossible to create force and to annihilate it. But in what sense are we to understand this assertion ? It would be manifestly inapplicable to the force of gravity as New ton defined it ; for this is a force varying inversely as the square of the distance, and to affirm the constancy of a varying force would be self-contradictory. Yet, when the question is properly understood, gravity forms no exception to the law of conservation. Following the method pur sued by Helmholtz, I will here attempt an elementary ex position of this law, which, though destined in its applica tions to produce momentous changes in human thought, is not difficult of comprehension. For the sake of simplicity we will consider a particle of matter, which we may call F, to be perfectly fixed, and a second movable particle, IX, placed at a distance from F. We will assume that these two particles attract each other according to the Newtonian law. At a certain distance the attraction is of a certain definite amount, which might be determined by means of a spring-balance. At half this dis tance the attraction would be augmented four times ; at a third of the distance it would be augmented nine times ; at one-fourth of the distance sixteen times, and so on. In every case the attraction might be measured by determin ing, with the spring-balance, the amount of tension which is just sufficient to prevent D from moving toward F. Thus far we have nothing whatever to do with motion ; wo deal with statics, not with dynamics. AVe simply take into account the distance of D from ^", and the pull exerted by gravity at that distance. It is customary in mechanics to represent the magni tude of a force by a line of a certain length, a force of double magnitude being represented by a line of double Length, and BO OD. Placing then the particle I) at a dis- THE CONSTITUTION OF NATURE. 23 tance from F, we can in imagination draw a straight line from D to F, and at D erect a perpendicular to this line, which shall represent the amount of the attraction exerted on D in this position. If D be at a very great distance from F the attraction will be very small, and the perpendic ular consequently very short. Let us now suppose that at every point in the line joining F and D a perpendicular is erected proportional in length to the attraction exerted at that point ; we should thus obtain an infinite number of perpendiculars of gradually increasing length as D ap proaches F. Uniting the ends of all these perpendiculars, we should obtain a curve, and between this curve and the straight line joining F and D we should have an area con taining all the perpendiculars placed side by side. Each one of this infinite series of perpendiculars representing an attraction, or tension as it is sometimes called, the area just referred to represents the total effort capable of being ex erted by the tensions upon the particle D, during its pas sage from its first position up to F. Up to the present point we have been dealing with ten sions, and not with motion. Thus far vis viva has been entirely foreign to our contemplation of D and F. Let us now suppose D placed at a practically infinite distance from F ; here the pull of gravity would be nothing, and the per pendicular representing it would dwindle to a point. In this position the sum of the tensions capable of being ex erted on D would be a maximum. Let D now begin to move in obedience to the attraction exerted upon it. Mo tion being once set up, the idea of vis viva arises. In moving toward F the particle D consumes, as it were, the tensions. Let us fix our attention on D at any point of the path over which it is moving. Between that point and F there is a quantity of unused tensions ; beyond that point the tensions have been all consumed, but we have in their place an equivalent quantity of vis viva. After D has 24 FRAGMENTS OF SCIENCE. passed any point, the tension previously in store at that point disappears, but not without having added, during the infinitely small duration of its action, a due amount of motion to that previously possessed by D. The nearer D approaches to F, the smaller is the sum of the tensions re maining, but the greater is the living force ; the farther D is from F, the greater is the sum of the unconsumed ten sions, and the less is the living force. Now the principle of conservation affirms not the constancy of the value of the tensions of gravity, nor yet the constancy of the vis viva, taken separately, but the absolute constancy of the value of the sum of both. At the beginning the vis viva was zero and the tension area was a maximum ; close to F the vis viva is a maximum, while the tension area is zero. At every other point the work-producing power of the particle D consists in part of vis viva and in part of tensions. If gravity, instead of being attraction, were repulsion, when the particles are in contact, the sum of the tensions between two material particles D and F would be a maxi mum, and the vis viva zero. K D, in obedience to the repulsion, moved away from F, vis viva would be gener ated ; and the farther D retreated from F the greater would be its vis viva, and the less the amount of tension still available for producing motion. Taking repulsion into account as well as attraction, the principle of the conserva tion of force affirms that the mechanical value of the ten sions and vires vivce of the material universe is a constant quantity. The universe, in short, possesses two kinds of property which are mutually convertible, at an unvarying rali'. The diminution of either carries with it the enhance ment of the other, the total value of the property remain ing urn-hanged. The considerations that \ve have here applied to gravity applv equally to chemical affinity. In a mixture of oxygen and hydrogen the atoms exist apart, but by the application THE CONSTITUTION OF NATURE. 25 of proper means they may be caused to rush together across the space that separates them. While this space exists, and as long as the atoms have not begun to move toward each other, we have tensions and nothing else. During their motion toward each other the tensions, as in the case of gravity, are converted into vis viva. After they clash we have still vis viva, but in another form. It was translation, it is vibration. It was molecular transfer, it is heat. The same considerations apply to a mixture of hydrogen and chlorine. When these gases are mingled in the dark they remain separate, but if a sunbeam fall upon the mixture the atoms rush together with detonation. Here also we have tension converted into molecular trans lation, and molecular translation into heat and sound. It is possible to reverse these processes, to unlock the embrace of the atoms and replace them in their first posi tions. But to accomplish this as much heat would be re quired as was generated by their union. Such reversals occur daily and hourly in Nature. By the solar waves, the oxygen of water is divorced from its hydrogen in the leaves of plants. As molecular vis viva the waves disappear, but in so doing they reendow the atoms of oxygen and hydro gen with tension. The atoms are thus enabled to recom- bine, and when they do so they restore the precise amount of heat consumed in their separation. The same remarks apply to the compound of carbon and oxygen, called car bonic acid, which is exhaled from our lungs, produced by our fires, and found sparingly diffused everywhere through out the air. In the leaves of plants the sunbeams also wrench these atoms asunder, and sacrifice themselves in the act ; but when the plants are burnt the amount of heat consumed in their production is restored. This, then, is the rhythmic play of Nature as regards her forces. Throughout all her regions she oscillates from tension to vis viva, from vis viva to tension. We have 2 20 FRAGMENTS OF SCIENCE. the same play in the planetary system. The earth's orbit is an ellipse, one of the foci of which is occupied by the sun. Imagine the earth at the most distant part of the orbit. Her motion, and consequently her vis viva, is then a minimum. The planet rounds the curve, and begins to approach the sun. In front it has a store of tensions, \\ -li irh is gradually consumed, an equivalent amount of vis i'ira being generated. When nearest to the sun the mo- lion, and consequently the vis viva, is a maximum. But here the available tensions have been used up. The earth rounds this portion of the curve and retreats from the sun. Tensions are now stored up, but vis viva is lost, to be again restored at the expense of the complementary force on the opposite side of the curve. Thus beats the heart of the universe, but without increase or diminution of its total stock of force. I have thus far tried to steer clear amid confusion by fixing the mind of the reader upon things rather than upon names. But good names are essential; and here, as yet, we are not provided with such. We have had the force of gravity and living force — two utterly distinct things. We have had pulls and tensions; and we might have had the force of heat, the force of light, the force of magnetism, or the force of electricity — all of which terms have1 been em ployed more or less loosely by writers on physics. This confusion is happily avoided by the introduction of the term " energy," embracing under it both tension and ria viva. Energy is possessed by bodies already in motion ; it is then actual, and we agree to call it actual or <7y/^/,/,/,- < in /y/y. It is our old vis viva. On the other hand, energy is possible to bodies not in motion, but which, in virtue of attraction or repulsion, possess a power of motion which would realize itself if all hinderanees were removed. Looking, for example, at gravity, a body on the earth's surface in a position from which it cannot fall to a lower THE CONSTITUTION OF NATURE. 27 one possesses no energy. It has neither motion nor power of motion. But the same body suspended at a height above the earth has a power of motion though it may not have exercised it. Energy is possible to such a body, and we agree to call this potential energy. It embraces our old tensions. We, moreover, speak of the conservation of en ergy instead of the conservation of force ; and say that the sum of the potential and dynamic energies of the material universe is a constant quantity. A body cast upward consumes the actual energy of projection, and lays up potential energy. When it reaches its utmost height all its actual energy is consumed, its potential energy being then a maximum. When it re turns, there is a reconversion of the potential into the actual. A pendulum at the limit of its swing possesses potential energy ; at the lowest point of its arc its energy is all actual. A patch of snow resting on a mountain-slope has potential energy ; loosened, and shooting down as an avalanche, it possesses dynamic energy. The pine-trees growing on the Alps have potential energy ; but rushing down the Holzrinne of the wood-cutters they possess actual energy. The same is true of the mountains themselves. As long as ihe rocks which compose them can fall to a lower level, they possess potential energy, which is con verted into actual when the frost ruptures their cohesion and hands them over to the action of gravity. The hammer of the great bell of Westminster, when raised before strik ing, possesses potential energy ; when it falls, the energy becomes dynamic ; and after the stroke, we have the rhythmic play of potential and dynamic in the vibrations of the bell. The same holds good for the molecular oscilla tions of a heated body. An atom is pressed against its neighbor, and recoils. But the ultimate amplitude of the recoil is soon attained, the motion of the atom in that direction is checked, and for an instant its energy is all 23 FRAGMENTS OF SCIENCE. potential. It is then drawn toward "its neighbor with accelerated speed, thus, by attraction, converting its poten tial into dynamic energy. Its motion in this direction is also finally checked, and, for an instant, again its energy is all potential. It again retreats, converting, by repulsion, its potential into dynamic energy, till the latter attains a maximum, after which it is again changed into potential energy. Thus, what is true of the earth, as she swings to :ui(l fro in her yearly journey round the sun, is also true of her minutest atom. We have wrheels within wheels, and rhvlhm within rhythm. When a body is heated, a change of molecular arrange ment always occurs, and to produce this change heat is consumed. Hence, a portion only of the heat communi cated to the body remains as dynamic energy. Looking back on some of the statements made at the beginning of this article, now that our knowledge is more extensive, we see the necessity of qualifying them. When, for example, two bodies clash, heat is generate*! ; but the heat, or molec ular dynamic energy, developed at the moment of collision, is not the equivalent of the sensible dynamic energy de stroyed. The true equivalent is this heat, plus the potential energy conferred upon the molecules by the placing of greater distances between them. This molecular potential energy is afterward, on the cooling of the body, converted into heat. Wherever two atoms capable of uniting together by their mutual attractions exist separately, they form a store of potential energy. Thus our woods, forests, and coal fields on the one hand, and our atmospheric oxvuvn on the other, constitute a vast store of energy of this kind — vast, but far from infinite. We have, besides our coal-fields, bodies in the metallic condition more or less sparsely dis tributed in the earth's crust. These bodies can be oxidized, and liemv are, so far as they g«>, stores of potent ial energy. THE CONSTITUTION OF NATURE. 29 But the attractions of the great mass of the earth's crust are already satisfied, and from them no further energy can possibly be obtained. Ages ago the elementary constitu ents of our rocks clashed together and produced the motion of heat, which was taken up by the ether and carried away through stellar space. It is lost forever as far as we are concerned. In those ages the hot conflict of carbon, oxygen, and calcium, produced the chalk and limestone hills which are now cold ; and from this carbon, oxygen, and calcium, no further energy can be derived. And so it is with almost all the other constituents of the earth's crust. They took their present form in obedience to mo lecular force ; they turned their potential energy into dy namic, and gave it to the universe ages before man appeared upon this planet. For him a residue of potential energy remains, vast truly in relation to the life and wants of an individual, but exceedingly minute in comparison with the earth's primitive store. To sum up. The whole stock of energy or working- power in the world consists of attractions, repulsions, and motions. If the attractions and repulsions are so circum stanced as to be able to produce motion, they are sources of working-power, but not otherwise. As stated a moment ago, the attraction exerted between the earth and a body at a distance from the earth's surface is a source of working- power ; because the body can be moved by the attraction, and in falling to the earth can perform work. "When it rests upon the earth's surface it is not a source of power or energy, because it can fall no farther. But though it has ceased to be a source of energy, the attraction of gravity still acts as deforce, which holds the earth and weight together. The same remarks apply to attracting atoms and mole cules. As long as distance separates them, they can move across it in obedience to the attraction, and the motion thus produced may, by proper appliances, be caused to 30 FRAGMENTS OF SCIENCE. perform mechanical work. When, for example, two atoms of hydrogen unite with one of oxygen, to form water, the atoms are first drawn toward each other — they move, they clash, and then, by virtue of their resiliency, they recoil and quiver. To this quivering motion we give the name of heat. Now this atomic vibration is merely the redistribu tion of the motion produced by the chemical affinity ; and this is the only sense in which chemical affinity can be said to be converted into heat. We must not imagine the chemical attraction destroyed, or converted into any thing else. For the atoms when mutually clasped to form a molecule of water, are held together by the very attraction which first drew them toward each other. That which has really been expended is the putt exerted through the space by which the distance between the atoms has been diminished. If this be understood it will be at once seen that gravity may in this sense be said to be convertible into heat ; that it is in reality no more an outstanding and inconvertible agent, as it is sometimes stated to be, than chemical affin ity. By the exertion of a certain pull through a certain space a body is caused to clash with a certain definite velocity against the earth. Heat is thereby developed, and this is the only sense in which gravity can be said to be converted into heat. In no case is the force which pro duces the motion annihilated or changed into any thing else. The mutual attraction of the earth and weight exists when they are in contact as when they were separate ; but the ability of that attraction to employ itself in the production of motion does not exist. The transformation, in this case, is easily followed by the mind's eye. First, the weight as a whole is set in motion by the attraction of gravity. This motion of the mass is arrested by collision with the earth, being broken up into molecular tremors, to which we give the name of heat, And when we reverse the process, ami employ those THE CONSTITUTION OF NATURE. 31 tremors of heat to raise a weight, as is done through the intermediation of an elastic fluid in the steam-engine, a certain definite portion of the molecular motion is de stroyed in raising the weight. In this sense, and this sense only, can the heat be said to be converted into gravity, or, more correctly, into potential energy of gravity. It is not that the destruction of the heat has created any new attraction, but simply that the old attraction has now a power conferred upon it, of exerting a certain definite pull in the interval between the starting-point of the falling weight and its collision with the earth. When, therefore, writers on the conservation of energy speak of tensions being " consumed " and " generated," they do not mean thereby that old attractions have been an nihilated, and new ones brought into existence, but that, in the one case, the power of the attraction to produce motion has been diminished by the shortening of the dis tance between the attracting bodies, and that in the other case the power of producing motion has been augmented by the increase of the distance. These remarks apply to all bodies, whether they be sensible masses or molecules. Of the inner quality that enables matter to attract matter we know nothing; and the law of conservation makes no statement regarding that quality. It takes the facts of attraction as they stand, and affirms only the con stancy of working-power. That power may exist in the form of MOTION ; or it may exist in the form of FOKCE, with distance to act through. The former is dynamic energy, the latter is potential energy, the constancy of the sum of both being affirmed by the law of conservation. The con vertibility of natural forces consists solely in transforma tions of dynamic into potential, and of potential into dy namic energy, which are incessantly going on. In no other sense has the convertibility of force, at present, any scien tific meaning. II. THOUGHTS ON PRAYER AND NATURAL LAW. AN EXTRACT. [Mountaineering in 1801, p. 33.] 'Aber im stillon Geniach cniwirft bcdcutcndc Zirkd Sinnend der Weise. Folgt durch die Luftc dcm Klang, folgt durch den Aether dem Strahl, Sucht das vertraute Geset/ iu des Zu falls grausenden Wundern, Sucht den ruhendcn Pol iu dor Ersdieinungen Fluelit." ScniLLER. II. PRAYER AND NATURAL LAW. THE aspects of Nature are more varied and impressive in Alpine regions than elsewhere. The mountains in their setting of deep-blue sky ; the glow of firmament and peaks at sunrise and sunset ; the formation and distribution of clouds ; the descent of rain, hail, and snow ; the stealthy slide of glaciers and the rush of avalanches and rivers ; the fury of storms ; thunder and lightning, with their occasional accompaniment of blazing woods — all these things tend to excite the feelings and to bewilder the mind. In this ent-anglement of phenomena it seems hopeless to seek for law or orderly connection. And before the thought of law dawned upon the human mind men natu rally referred these inexplicable effects to personal agency. The savage saw in the fall of a cataract the leap of a spirit, and the echoed thunder-peal was to him the hammer-clang of an exasperated god. Propitiation of these terrible powers was the consequence, and sacrifice was offered to the demons of earth and air. But observation tends to chasten the emotions and to check those structural efforts of the intellect which have emotion for their base. One by one natural phenomena have been associated with their proximate causes; and the idea of direct personal volition mixing itself in the economy of Nature is retreating more and more. Many of us fear this tendency ; our faith and feelings are dear to us, 36 FRAGMENTS OF SCIENCE. and we look with suspicion and dislike on any philosophy, the apparent tendency of which is to dry up the soul. Probably every change from ancient savagery to our present enlightenment excited, in a greater or less degree, a fear of this kind. But the fact is, that we have not yet deter mined whether the form under which they now appear in the world is necessary to the life and warmth of religious feeling. We may err in linking the imperishable with the transitory, and confound the living plant with the decaying r pole to which it clings. My object, however, at present is not to argue, but to mark a tendency. We have ceased to propitiate the powers of Nature — ceased even to pray for things in manifest contradiction to natural laws. In Prot estant countries, at least, I think it is conceded that the age of miracles is past. The general question of miracles is at present in able and accomplished hands ; and were it not so, my polemical acquirements are so limited, that I should not presume to enter upon a discussion of this subject on its entire merits. But there is one little outlying point, which attaches itself to this question, on which a student of science, without quitting the ground which strictly belongs to him, may offer a remark. At the aubergc near the foot of the Rhone glacier, I met, in the summer of 1858, an athletic young priest, who, after a solid breakfast, including a bottle of wine, informed me that he had come up to " bless the mountains." This was the annual custom of the place. Year by year the Highest was entreated, by official intercessors, to make such meteorological arrangements as should insure food and shelter for the flocks and herds of the Valaisians. A diversion of the Rhone, or a deepening of the river's bed, would have been of incalculable benefit to the inhabitants of the valley at the time I now mention. But the priest would have shrunk from the idea of asking the Omnipo- PRAYER AND NATURAL LAW. 37 tent to open a new channel for the river, or to cause a portion of it to flow over the Grimsel Pass, and down the vale of Oberhasli to Brientz. This he would have deemed a miracle, and he did not come to ask the Creator to per form miracles, but to do something which he manifestly thought lay quite within the bounds of the natural and non-miraculous. A Protestant gentleman, who was present at the time, smiled at this recital. He had no faith in the priest's blessing, still he deemed his prayer different in kind from a request to open a new river-cut, or to cause the water to flow up-hill. In a similar manner we Protestants smile at the honest Tyrolese priest, who, when he feared the bursting of a glacier-dam, offered the sacrifice of the mass upon the ice as a means of averting the calamity. That poor man did not expect to convert the ice into adamant, or to strengthen its texture so as to enable it to withstand the pressure of the water ; nor did he expect that his sacrifice would cause the stream to roll back upon its source and relieve him, by a miracle, of its presence. But beyond the boundaries of his knowledge lay a region where rain was generated, he knew not how. He was not so presumptuous as to expect a miracle, but he firmly believed that in yonder cloud-land matters could be so arranged, without trespass on the miraculous, that the stream which threatened him and his flock should be caused to shrink within its proper bounds. Both these priests fashioned that which they did not understand to their respective wants and wishes. In their , case imagination wrought, unconditioned by a knowledge of laws. A similar state of mind was long prevalent among mechanicians ; many of whom, and some of them extremely skilful ones, were occupied a century ago with the question of a perpetual motion. They aimed at con structing a machine which should execute work without the expenditure of power ; and many of them went mad 38 FRAGMENTS OF SCIEM K. in the pursuit of this object. The faith in such a consum mation, involving as it did immense personal interest to the inventor, was extremely exciting, and every attempt to destroy this faith was met by bitter resentment on the part of those who held it. Gradually, however, as men became more and more acquainted with the true functions of machinery, the dream dissolved. The hope of getting work out of mere mechanical combinations disappeared; but still there remained for the speculator a cloud-land denser than that which filled the imagination of the Tyrol- ese priest, and out of which he still hoped to evolve per petual motion. There was the mystic store of clicmic force, which nobody understood; there were heat and light, electricity and magnetism, all competent to produce mechanical motions.1 Here, then, is the mine in which v we must seek our gem. A modified and more refined form of the ancient faith revived ; and, for aught I know, a rem nant of sanguine designers may at the present moment be engaged on the problem which like-minded men in former years left unsolved. And why should a perpetual motion, even under modern conditions, be impossible ? The answer to this question is the statement of that great generalization of modern sci ence, which is known under the name of the Conservation of Energy. This principle asserts that no power can make its appearance in Nature without an equivalent expenditure of some other power ; that natural agents are so related to each other as to be mutually convertible, but that no new agency is created. Light runs into heat ; heat into elec tricity ; electricity into magnetism ; magnetism into me chanical force ; and mechanical force again into light and heat. The Proteus changes, but he is ever the same ; and his changes in Nature, supposing no miracle to supervene, are the expression, not of spontaneity, but of physical neces- 1 Sec Ilclmholtz— " Wcclipclwirkung dcr Naturkrafte." PRAYER AND NATURAL LAW. 39 sity. A perpetual motion, then, is deemed impossible, be cause it demands the creation of force, whereas the principle of Conservation is, no creation but infinite conversion. It is an old remark that the law which moulds a tear also rounds a planet. In the application of law in Nature the terms great and small are unknown. Thus the principle referred to teaches us that the Italian wind gliding over the crest of the Matterhorn is as firmly ruled as the earth in its orbital revolution round the sun ; and that the fall of its vapor into clouds is exactly as much a matter of neces sity as the return of the seasons. The dispersion, there fore, of the slightest mist by the special volition of the Eternal, would be as much a miracle as the rolling of the Rhone over the Grimsel precipices and down Haslithal to Brientz. It seems to me quite beyond the present power of science, to demonstrate that the Tyrolese priest, or his colleague of the Rhone valley, asked for an " impossibility " in praying for good weather ; but science can demonstrate the incompleteness of the knowledge of Nature which limited their prayers to this narrow ground ; and she may lessen the number of instances in which we " ask amiss," by showing that we sometimes pray for the performance of a miracle when we do not intend it. She does assert, for example, that, without a disturbance of natural law, quite as serious as the stoppage of an eclipse, or the rolling of the St. Lawrence up the Falls of Niagara, no act of humiliation, individual or national, could call one shower from heaven, or deflect toward us a single beam of the sun. Those, therefore, who believe that the miraculous is still active in Nature, may, with perfect consistency, join in our periodic prayers for fair weather and for rain : while those who hold that the age of miracles is past, will refuse to join in such petitions. And if these latter wish to fall back upon such a justification, they may fairly urge that the 40 FRAGMENTS OF SCIENCE. latest conclusions of science arc in perfect accordance with the doctrine of the Master Himself, which manifestly was that the distribution of natural phenomena is not affected by moral or religious causes. " He maketh His sun to rise on the evil and on the good, and sendeth rain on the just and on the unjust." Granting "the power of Free-will in man," so strongly claimed by Professor Mansel in his ad mirable defence of the belief in miracles, and assuming the efficacy of free prayer to produce changes in external Nature, it necessarily follows that natural laws are more or less at the mercy of man's volition, and no conclusion founded on the assumed permanence of those laws would be worthy of confidence. It is a wholesome sign for England that she numbers among her clergy men wise enough to understand all this, and courageous enough to act up to their knowledge. Such men do service to the public character by encourag ing a manly and intelligent conflict with the causes of disease and scarcity, instead of a delusive reliance on supernatural aid. But they have also a value beyond this local and temporary one. They prepare the public rnind for changes which, though inevitable, could hardly, without such preparation, be wrought without violence. Iron is strong ; still, water in crystallizing will shiver an iron envelope, and the more unyielding the metal is, the worse for its safety. There are men among us who would encom pass philosophic speculation by a rigid envelope, hoping- thereby to restrain it, but in reality giving it explosive force. If we want an illustration of this we have only to look at modern Rome. In England, thanks to men of the stamp to which I have alluded, scope is gradually given to thought for changes of aggregation, and the envelope slowly alters its form in accordance witli the necessities o/ the time. THE proximate origin of the foregoing slight article, and probably the remoter origin of the next following one, was this : Some years ago, a day of prayer and humiliation, on account of a bad harvest, was ap pointed by the proper religious authorities ; but certain clergymen of the Church of England, doubting the wisdom of the demonstration, declined to join in the services of the day. For this act of nonconformity they were severely censured by some of their brethren. Rightly or wrongly, my sympathies were on the side of these men ; and, to lend them a help ing hand in their struggle against odds, I inserted the foregoing chapter in the little book mentioned on the title-page. Some time subsequently I received from a gentleman of great weight and distinction in the scien tific world, and, I believe, of perfect orthodoxy in the religious one, a note directing my attention to an exceedingly thoughtful article on Prayer and Cholera in the Pall Mall Gazette. My eminent correspondent deemed the article a fair answer to the remarks made by me in 1861. I also was struck by the temper and ability of the article, but I could not deem its arguments satisfactory, and, in a short note to the editor of the Pall Mall Gazette, I ventured to state so much. This letter elicited some very able replies, and a second leading article was also devoted to the subject. In answer to all, I risked the publication of a second letter, and soon afterward, by an extremely courteous note from the editor, the discussion was closed. Though thus stopped locally, the discussion flowed in other directions. Sermons were preached, essays were published, articles were written, while a copious correspondence occupied the pages of some of the re ligious newspapers. It gave me sincere pleasure to notice that the dis cussion, save in a few cases where natural coarseness had the upper hand, was conducted with a minimum of vituperation. The severity shown was hardly more than sufficient to demonstrate earnestness, while gentlemanly feeling was too predominant to permit that earnestness to contract itself to bigotry or to clothe itself in abuse. It was probably the memory of this discussion which caused another excellent friend of mine to recommend to my perusal the exceedingly able work which in the next article I have endeavored to review. III. MIRACLES AND SPECIAL PROVIDENCES. A REVIEW. [Fortnightly Review, New Scries, vol. i., p. 645.] " Mr. Mozley's book belongs to that class of writing of which Butler jiiay lie taken as the type. It is strong, genuine argument about difficult matters, fairly tracing what is difficult, fairly trying to grapple, not with what appears the gist and strong point of a question, but with what really at bottom is the knot of it. It is a book the reasoning of which may not satisfy every one. . . . But we think it is a book for people who wish to see a great subject handled on a scale which befits it, and with a percep tion of its real elements. It is a book which will have attractions for those who like to see a powerful mind applying itself, without shrinking or holding back, without trick, or reserve, or show of any kind, as a wrestler closes body to body with his antagonist, to the strength of an adverse and powerful argument." — The Times, Tuesday, June 5, 1866. " We should add, that the faults of the work are wholly on the surface and in the arrangement ; that the matter is as solid and as logical as that of any book within recent memory, and that it abounds in striking pas sages, of which we have scarcely been able even to give a sample. No future arguer against miracles cau afford to pass it over." — Saturday Rc- riw, Sqrtcmbcr 15, 1866. III. MIRACLES AND SPECIAL PROVIDENCES. IT is my privilege to enjoy the friendship of a select number of religious men, with whom I converse frankly upon theological subjects, expressing without disguise the notions and opinions I entertain regarding their tenets, and hearing in return these notions and opinions subjected to criticism. I have thus far found them liberal and loving men, patient in hearing, tolerant in reply, who know how to reconcile the duties of courtesy with the earnestness of debate. From one of these, nearly a year ago, I received a note, recommending strongly to my attention the volume of " Bampton Lectures " for 1865, in which the question of miracles is treated by Mr. Mozley. Previous to receiving this note, I had in part made the acquaintance of the work, through the able and elaborate review of it which had ap peared in the Times. The combined effect of the letter and the review was to make the book the companion of my summer tour in the Alps. There, during the wet and snowy days which were only too prevalent last year, and during the days of rest interpolated between days of toil, I made myself more thoroughly conversant with Mr. Moz- ley's volume. I found it clear and strong — an intellectual tonic, as bracing and pleasant to my mind as the keen air of the mountains was to my body. From time to time I jotted down my thoughts regarding it, intending afterward, if time permitted, to work them up into a coherent whole. 4G l-KACMKNTS OF SCIKNCK. Other duties, however, interfered Avitli the carrying1 out of this intention, and what I wrote last summer I now pub lish, not hoping within any reasonable time to be able to render my defence of scientific method more complete. Mr. Mozley refers at the outset of his task to the move ment against miracles which of late years has taken place, and which determined his choice of a subject. He acquits modern science of having had any great share in the pro duction of this movement. The objection against miracles, he says, does not arise from any minute knowledge of the laws of Nature, but simply because they are opposed to that plain and obvious order of Nature which everybody sees. The present movement is, he thinks, to be as"cribe< 1 1 « > the greater earnestness and penetration of the present age. Formerly miracles were accepted without question, because without reflection; but the exercise of what Mr. Mozley calls the historic imagination is a characteristic of our own time. Men are now accustomed to place before themselves vivid images of historic facts, and when a miracle rises to view, they halt before the astounding occurrence, and real izing it with the same clearness as if it were now passing before their eyes, they ask themselves, " Can this have taken place ? " In some instances the effort to answer this question has led to a disbelief in miracles, in others to a strengthening of belief. The end and aim of Mr. Mozley's lectures is to show that the strengthening of belief is the logical result which ought to follow from the examination of the facts. Attempts have been made by religious men to bring >cripture miracles within the scope of the order of Nature, but all such attempts are rejected by Mr. Mo/ley as utterly futile and wide of the mark. Regarding mira cles as a necessary accompaniment of a revelation, their evidential value in his eyes depends entirely upon their deviation from the order of Nature. Thin deviating, they MIRACLES AND SPECIAL PROVIDENCES. 47 suggest and illustrate to him a power higher than JNature, a " personal will ; " and they commend the person in whom this power is vested as a messenger from on high. With out these credentials such a messenger would have no right to demand belief, even though his assertion regarding his divine mission were backed by a holy life. Nor is it by miracles alone that the order of Nature is, or may be, dis turbed. The material universe is also the arena of " spe cial providences." Under these two heads Mr. Mozley dis turbs the total preternatural. One form of the preternatural may shade into the other, as one color passes into another in the rainbow ; but while the line which divides the spe cially providential from the miraculous cannot be sharply drawn, their distinction broadly expressed is this, that while a special providence can only excite surmise more or less probable, it is " the nature of a miracle to give proof, as distinguished from mere surmise of divine de- sign." m Mr. Mozley adduces various illustrations of what he re gards to be special providences as distinguished from mira cles. " The death of Arius," he says, " was not miraculous, because the coincidence of the death of a heresiarch taking place when it was peculiarly advantageous to the orthodox faith .... was not such as to compel the inference of ex traordinary Divine agency ; but it was a special providence, because it carried a reasonable appearance of it. The mir acle of the Thundering Legion was a special providence, but not a miracle, for the same reason, because the coinci dence of an instantaneous fall of rain in answer to prayer carried some appearance, but not proof, of preternatural agency." The eminent lecturer's remarks on this head brought to my recollection certain narratives published in Methodist magazines, which I used to read with avidity when a boy. The title of these chapters, if I remember right, was " The Providence of God asserted," and in them 48 FRAGMENTS <>r .-en; the most extraordinary and exciting escapes from peril were recounted and ascribed to prayer, while equally wonderful instances of calamity were adduced as illustrations of Di vine retribution. In such magazines, or elsewhere, I found recorded the case of the celebrated Samuel Hick, which, as it illustrates a whole class of special providences, approach- in. ir in conclusiveness to miracles, is worthy of mention here. It is related of this holy man — and I, for one, have no doubt of his holiness — that flour was lacking to make the sacra mental bread. Grain was present, and a windmill was present, but there was no wind to grind the corn. With faith, undoubting Samuel Hick prayed to the Lord of the winds: the sails turned, the corn was ground, after which the wind ceased. According to the canon of the Bampton Lecturer, this, though carrying a strong appearance of an immediate exertion of Divine energy, lacks by a hair's- breadth the quality of a miracle. For the wind uu indebtedness. Most of these oil' e made to the to Mary. They are recognitions of "special provi dences," wrought through the instrumentality of the Mother of God. Mr. M"zl''y's belief, that of the Methodic i.-hron- MIRACLES AXD SPECIAL PROVIDENCES. 49 icier, and that of the Tyrolese peasant, are substantially the same. Each of them assumes that Nature, instead of flow ing ever onward in the uninterrupted rhythm of cause and effect, is mediately ruled by the free human will. As re gards direct action upon natural phenomena, man's will is confessedly powerless, but it is the trigger which, by its own free action, liberates the Divine power. In this sense, and to this extent, man, of course, commands Nature. Did the existence of this belief depend solely upon the material benefits derived from it, it could not, in my opinion, last a decade. As a purely objective fact we should soon see that the distribution of natural phenomena is unaffected by the merits or the demerits of man ; that the law of gravi tation crushes the simple worshippers of Ottery St. Mary, while singing their hymns, just as surely as if they were engaged in a midnight brawl. The hold of this belief upon the human mind is not due to outward verification, but to the inner warmth, force, and elevation with which it is com monly associated. It is plain, however, that these feelings may exist under the most various forms. They are not limited to Church of England Protestantism — they are not even limited to Christianity. Though less refined, they are certainly not less strong, in the heart of the Methodist and the Tyrolese than in the heart of Mr. Mozley. Indeed, those feelings belong to the primal powers of man's nature. A " skeptic " may have them. They find vent in the battle- cry of the Moslem. They take hue and form in the hunting- grounds of the red Indian ; and raise all of them, as they raise the Christian, upon a wave of victory, above the ter rors of the grave. The character, then, of a miracle, as distinguished from a special providence, is that the former furnishes proof, while in the case of the latter we have only surmise, solve the element of doubt, and the alleged fact passes from the one class of the preternatural into the other. In other 3 50 FRAGMENTS OF SCIENCE. words, if a special providence could be proved to be a spe cial providence, it would cease to be a special providence and become a miracle. There is not the least cloudiness about Mr. Mozley's meaning here. A special providence is a doubtful miracle. Why, then, not use the correct phra seology ? The term employed conveys no negative sug gestion, whereas the negation of certainty is the peculiar characteristic of the thing intended to be expressed. There is an apparent unwillingness on the part of Mr. Mozley to call a special providence what his own definition makes it to be. Instead of speaking of it as a doubtful miracle, he calls it " an invisible miracle." He speaks of the point of contact of supernatural power with the chain of causation being so high up as to be wholly, or in part, out of sight, whereas the essence of a special providence is the uncer tainty whether there is any contact at all, either high or low. By the use of an incorrect term, however, a grave danger is avoided. For the idea of doubt, if kept system atically before the mind, would soon be fatal to the special providence as a means of edification. The term employed, on the contrary, invites and encourages the trust which is necessary to supplement the evidence. This inner trust, though at first rejected by Mr. Mozley in favor of external proof, is subsequently called upon to do momentous duty with regard to miracles. Whenever the evidence of the miraculous seems incommensurate with the fact which it has to establish, or rather when the fact is so amazing that hardly any evidence is sufficient to estab lish it, Mr. Mozley invokes "the affections." They must urge the reason to accept the conclusion from which unaided it recoils. The affections and emotions are eminently the court of appeal in matters of real religion, which is an affair of the heart, but they are not, I submit, the court in which to weigh allegations regarding the credibility of physical foots. These must be judged by the dry light of the intel- MIRACLES AND SPECIAL PROVIDENCES. 51 lect alone, appeals to the affections being reserved for cases where moral elevation, and not historic conviction, is the aim. It is, moreover, because the result, in the case under consideration, is deemed desirable that the affections are called upon to back it. If undesirable, they would, with equal right, be called upon to act the other way. Even to the disciplined scientific mind this would be a dangerous doctrine. A favorite theory — the desire to establish or avoid a certain result — can so warp the mind as to destroy its power of estimating facts. I have known men to work for years under a fascination of this kind, unable to extri cate themselves from its fatal influence. They had certain data, but not, as it happened, enough. By a process exactly analogous to that invoked by Mr. Mozley they supplemented the data, and went wrong. From that hour their intellects were so blinded to the perception of adverse phenomena that they never reached truth. If, then, to the disciplined scientific mind, this incongruous mixture of proof and trust be fraught with danger, what must it be to the indiscrimi nate audience which Mr. Mozley addresses ? In calling upon this agency he acts the part of Frankenstein. It is the monster thus evoked that we see stalking abroad, in the so-called spiritualistic phenomena of the present day. Again, I say, where the aim is to elevate the mind, to quicken the moral sense, to kindle the fire of religion in the soul, let the affections by all means be invoked ; but they must not be permitted to color our reports, or to influence our acceptance of reports of occurrences in external Nature. Testimony as to natural facts is usually worthless when wrapped in this atmosphere of the affections, the most earnest subjective truth being thus rendered perfectly com patible with the most astounding objective error. There are questions in judging of which the affections or sympathies are often our best guides, the estimation of moral goodness being one of these. But at this precise 52 FRAGMENTS OF SCIENCE. point, where they are really of use, Mr. Mozley excludes the affections, and demands a miracle as a certificate of character. He will not accept any other evidence of the perfect goodness of Christ. " No outward life or conduct," he says, " however irreproachable, could prove His perfect sinlessness, because goodness depends upon the inward motive, and the perfection of the inward motive is not proved by the outward act." But surely the miracle is an outward act, and to pass from it to the inner motive im poses a greater strain upon logic than that involved in our ordinary methods of estimating men. There is, at least, moral congruity between the outward goodness and the inner life, but there is no such congruity between the mira cle and the life within. The test of moral goodness laid down by Mr. Mozley is not the test of John, who says, " He that doeth righteousness is righteous ; " nor is it the test of Jesus — " By their fruits ye shall know them ; do men gather grapes of thorns, or figs of thistles ? " But it is the test of another : " If thou be the Son of God, command that these stones be made bread." For my own part, I prefer the attitude of Fichte to that of Mr. Mozley. " The Jesus of John," says this noble and mighty thinker, " knows no other God than the True God, in whom we all are, and live, and may be blessed, and out of whom there is only Death and Nothingness. And he appeals, and rightly appeals, in support of this truth, not to reasoning, but to the inward practical sense of truth in man, not even knowing any other proof than this inward testimony, ' If any man will do the will of Him who sent me, he shall know of the doctrine whether it be of God." ' Accepting Mr. Mozley's test, with which alone I am now dealing, it is evident that, in the demonstration of moral goodness, the quantity of the miraculous comes into play. Had Christ, for example, limited Himself to the conversion of water into wine, He would have fallen short of the per- MIRACLES AND SPECIAL PROVIDENCES. 53 formancc of Jannes and Jambres, for it is a smaller thing to convert one liquid into another than to convert a dead rod into a living serpent. But Jannes and Jambres, we are in formed, were not good. Hence, if Mr. Mozley's test be a true one, a point must exist, on the one side, of which miraculous power demonstrates goodness, while on the other side it does not. How is this " point of contrary flexure " to be determined ? It must lie somewhere between the magicians and Moses, for within this space the power passed from the diabolical to the Divine. But how to mark the point of passage — how, out of a purely quantitative differ ence in the visible manifestation of power we are to infer a total inversion of quality — it is extremely difficult to see. Moses, we are informed, produced a large reptile, Jannes and Jambres produced a small one. I do not possess the intellectual faculty which would enable me to infer from those data either the goodness of the one or the badness of the other ; and in the highest recorded manifestations of the miraculous I am equally at a loss. Let us not play fast and loose with the miraculous ; either it is a demonstration of goodness in all cases or in none. If Mr. Mozley accepts Christ's goodness as transcendent, because He did such works as no other man did, he ought, logically speaking, to accept the works of those who, in His name, had cast out devils, as demonstrating a proportionate goodness on their part. But it is people of this class who are consigned to everlasting fire prepared for the devil and his angels. Such zeal as that of Mr. Mozley for miracles tends, I fear, to eat his religion up. The logical threatens to stifle the spiritual. The truly religious soul needs no miraculous proof of the goodness of Christ. The words addressed to Matthew at the receipt of custom required no miracle to produce obedi ence. It was by no stroke of the supernatural that Jesus caused those sent to seize Him to go backward and fall to the ground. It was the sublime and holy effluence from 54 FRAGMENTS OF SCIENCE. within, which needed no prodigy to commend it to the rev erence even of his foes. As regards the function of miracles in the founding of a religion, Mr. Mozley institutes a comparison between the religion of Christ and that of Mahomet, and he derides the latter as " irrational " because it does not profess to adduce miracles in proof of its supernatural origin. But the re ligion of Mahomet, notwithstanding this drawback, has thriven in the world, and at one time it held sway over larger populations than Christianity itself. The spread and influence of Christianity are, however, brought forward bv Mr. Mozley as " a permanent, enormous, and incalculable practical result" of Christian miracles; and he actually makes use of this result to strengthen his plea for the mirac ulous. His logical warrant for this proceeding is not clear. It is the method of science, when a phenomenon presents itself, to the production of which several elements may con tribute, to exclude them one by one, so as to arrive at length at the truly effective cause. Heat, for example, is associated with a phenomenon ; we exclude heat, but the phenomenon remains : hence, heat is not its cause. Mag netism is associated with a phenomenon ; we exclude mag netism, but the phenomenon remains : hence, magnetism is not its cause. Thus, also, when we seek the cause of the diffusion of a religion — whether it be due to miracles or to the spiritual force of its founders — we exclude the miracles, and, finding the result unchanged, we infer that miracles are not the effective cause. This important experiment Mahometanism has made for us. It has lived and spread without miracles ; and to assert, in the face of this, that Christianity has spread because of miracles, is not more op posed to the spirit of science than to the common-sense of mankind. The incongruity of inferring moral goodness from mirac ulous power has been dwelt upon above ; in another par- MIRACLES AND SPECIAL PROVIDENCES. 55 ticular also the strain put upon miracles by Mr. Mozley is, I think, more than they can bear. In consistency with his principles, it is difficult to see how he is to draw from the miracles of Christ any certain conclusion as to His Divine nature. He dwells very forcibly on what he calls " the argu ment from experience," in the demolition of which he takes evident delight. He destroys the argument, and repeats it for the mere pleasure of again and again knocking the breath out of it. Experience, he urges, can only deal with the past ; and the moment we attempt to project experience a hair's breadth beyond the point it has at any moment reached, we are condemned by reason. It appears to me that, when he infers from Christ's miracles a divine and altogether superhuman energy, Mr. Mozley places himself precisely under this condemnation. For what is his logical ground for concluding that the miracles of the New Testa ment illustrate Divine power ? May they not be the result of expanded human power ? A miracle he defines as some thing impossible to man. But how does he know that the miracles of the New Testament are impossible to man ? Seek as he may, he has absolutely no reason to adduce save this — that man has never hitherto accomplished such things. But does the fact that man has never raised the dead prove that he can never raise the dead ? " Assuredly not," must be Mr. Mozley's reply ; " for this would be pushing experi ence beyond the limit it has now reached — which I pro nounce unlawful." Then a period may come when man will be able to raise the dead. If this be conceded — and I do not see how Mr. Mozley can avoid the concession — it destroys the necessity of inferring Christ's divinity from his miracles. He, it may be contended, antedated the humanity of the future ; as a mighty tidal-wave leaves high upon the beach a mark which by-and-by becomes the general level of the ocean. Turn the matter as you will, no other warrant will be found for the all-important conclusion that Christ's 56 FRAGMENTS OF SCIENCE. miracles demonstrate Divine power, than an argument which has been stigmatized by Mr. Mozley as " a rope of sand " — the argument from experience. The learned Hampton Lecturer would be in this posi tion even if he had seen with his own eyes every miracle recorded in the New Testament. But he has not seen these miracles ; and his intellectual plight is, therefore, worse. He accepts these miracles on testimony. Why does he be lieve that testimony ? How does he know that it is not delusion ; how is he sure that it is not even falsehood ? He will answer that the writing bears the marks of sobriety and truth ; and that, in many cases, the bearers of this mes sage to mankind sealed it with their blood. Granted with all my heart; but whence the value of all this? Is it not solely derived from the fact that men, as ice know them, do not sacrifice their lives in the attestation of that which they know to be untrue ? Does not the entire value of the tes timony of the apostles depend ultimately upon our expe rience of human nature ? It appears, therefore, that those who alleged to have seen the miracles based their inferences from what they saw on the argument from experience ; and that Mr. Mozley bases his belief in their testimony on the same argument. The weakness of his conclusion is aug mented by this double insertion of a principle of belief to which he flatly denies rationality. His reasoning, in fact, cuts two ways — if it destroys our trust in the order of Na- turo, it far more effectually abolishes the basis on which Mr. Mozley seeks to found the Christian religion. Over this argument from experience, which, at bottom, is hi A argument, Mr. Mozley rides rough-shod. There is a dash of scorn in the energy with which he tramples on it. Probably some previous writer had made too much of it, and thus invited his powerful assault. Finding the diffi culty of belief in miracles to arise from their being in con tradiction to the order of Nature, he set himself to examine MIRACLES AND SPECIAL PROVIDENCES. 57 the grounds of our belief in that order. With a vigor of logic rarely equalled, and with a confidence in its conclu sions never surpassed, he disposes of this belief in a manner calculated to startle those who, without due examination, had come to the conclusion that the order of Nature was secure. What we mean, he says, by our belief in the order of Nature, is the belief that the future will be like the past. There is not, according to Mr. Mozley, the slightest rational basis for this belief. " That any cause in Nature is more permanent than its existing and known effects, extending further, and about to produce other and more instances besides what it has produced already, we have no evidence. Let us imagine," he continues, " the occurrence of a particular physical phenomenon for the first time. Upon that single occurrence we should have but the very faintest expectation of another. If it did occur again, once or twice, so far from counting on another occurrence, a cessation would occur as the most natural event to us. But let it continue one hundred times, and we should find no hesitation in inviting persons from a distance to see it ; and if it occurred every day for years, its occur rence would be a certainty to us, its cessation a marvel. . . . What ground of reason can we assign for an expectation that any part of the course of Nature will be the next moment what it has been up to this moment, i. e., for our belief in the uniformity of Nature ? None. No demonstrative reason can be given, for the contrary to the recurrence of a fact of Nature is no contradiction. No probable reason can be given, for all probable reasoning respecting the course of Nature is founded upon this presumption of likeness, and, therefore, cannot be the foundation of it. No reason can be given for this belief. It is without a reason. It rests upon no rational grounds, and can be traced to no rational prin ciple." " Every thing," Mr. Mozley, however, adds, " depends upon this belief, every provision we make for the future, every safeguard and caution we employ against it, all cal culation, all adjustment of means to ends supposes this be lief ; and yet this belief has no more producible reason for it than a speculation of fancy. ... It is necessary, all-im- 58 FRAGMENTS OF SCIENCE. portant for the purposes of life, but solely practical, and possesses no intellectual character. . . . The proper func tion," continues Mr. Mozley, " of the inductive principle, the argument from experience, the belief in the order of Nature — by whatever phrase we designate the same instinct — is to operate as a practical basis for the affairs of life and the carrying on of human society." To sum up, the belief in the order of Nature is general, but it is " an unintelligent impulse, of which we can give no rational account." It is inserted in our constitution solely to induce us to till our fields, to raise our winter fuel, and thus to meet the future on the perfectly gratuitous supposition that that future will be like the past. " Thus, step by step," says Mr. Mozley, with the empha sis of a man who feels his position to be a strong one, " has philosophy loosened the connection of the order of Nature with the ground of reason, befriending in exact proportion as it has done this the principle of miracles." For " this belief, not having itself a foundation in reason, the ground is gone upon which it could be maintained that miracles, as opposed to the order of Nature, are opposed to reason." When we regard this belief in connection with science, " in which connection it receives a more imposing name, and is called the inductive principle," the result is the same. " The inductive principle is only this unreasoning impulse applied to a scientifically ascertained fact. . . . Science has led up to the fact, but there it stops, and for convert ing this fact into a law a totally unscientific principle comes into play, the same as that which generalizes the common est observation of Nature." The eloquent pleader of the cause of miracles passes over without a word the results of scientific investigation as proving any thing rational regarding the principles or methods by which such results have been achieved. Here, as before, he declines the t?st, " By their fruits shall ye MIRACLES AND SPECIAL PROVIDENCES. 59 know them." Perhaps the best way of proceeding will be to give one or two examples of the mode in which men of science apply the unintelligent impulse with which Mr. Mozley credits them, and which shall show by illustration the surreptitious character of the method by which they climb from the region of facts to that of laws. It was known before the sixteenth century that, the end of an open tube being dipped into water, on drawing an air-tight piston up the tube the water follows the piston, and this fact had been turned to account in the construction of the common pump. The effect was explained at the time by the maxim, " Nature abhors a vacuum." It was not known that there was any limit to the height to which the water would ascend, until, on one occasion, the garden ers of Florence, while attempting to raise the water a very great elevation, found that the column ceased at a height of thirty-two feet. Beyond this all the skill of the pump- maker could not get it to rise. The fact was brought to the notice of Galileo, and he, soured by a world which had not treated his science over-kindly, is said to have twitted the philosophy of the time by remarking that Nature evi dently abhorred a vacuum only to a height of thirty-two feet. But Galileo did not solve the problem. It was taken up by his pupil Torricelli, who pondered it, and while he did so various thoughts regarding it arose in his mind. It occurred to him that the water might be forced up in the tube by a pressure applied to'the surface of the water out side. But where, under the actual circumstances, was such a pressure to be found? After much reflection, it flashed upon Torricelli that the atmosphere might possibly exert the pressure ; that the impalpable air might possess weight, and that a column of water thirty-two feet high might be of the exact weight necessary to hold the pressure of the atmosphere in equilibrium. There is much in this process of pondering and its 60 FRAGMENTS OF SCIENCE. results which it is impossible to analyze. It is by a kind of inspiration that we rise from the wise and sedulous con templation of facts to the principles on which they depend. The mind is, as it were, a photographic plate, which is gradually cleansed by the effort to think rightly, and which when so cleansed, and not before, receives impressions from the light of truth. This passage from facts to principles is called induction, which in its highest form is inspiration ; but, to make it sure, the inward sight must be shown to be in accordance with outward fact. To prove or dis prove the induction, we must resort to deduction and ex periment. Torricelli reasoned thus : If a column of water thirty- two feet high holds the pressure of the atmosphere in equilibrium, a shorter column of a heavier liquid ought to do the same. Now, mercury is thirteen times heavier than water; hence, if my induction be correct, the atmosphere ought to be able to sustain only thirty inches of mercury. Here, then, is a deduction which can be immediately sub mitted to experiment. Torricelli took a glass tube a yard or so in length, closed at one end and open at the other, and filling it with mercury, he stopped the open end with his thumb, and inverted it in a basin filled with the liquid metal. One can imagine the feeling with which Torricelli removed his thumb, and the delight he experienced when he found that his thought had forestalled a fact never before revealed to human eyes. The column sank, but ceased to sink at a height of thirty inches, leaving the Torricellian vacuum overhead. From that hour the theory of the pump was established. The celebrated i Pascal followed Torricelli with a still further deduction. He reasoned thus : If the mercurial column be supported by the atmosphere, the higher we ascend in the air the lower the column ought to sink, for the less will be the weight of the air overhead. He ascend- MIRACLES AND SPECIAL PROVIDENCES. 61 ed the Puy de Dome, carrying with him a barometric column, and found that as he ascended the mountain the column sank, and that as he descended the column rose. Between the time here referred to and the present, millions of experiments have been made upon this subject. Every village pump is an apparatus for such experiments. In thousands of instances, moreover, pumps have refused to work ; but on examination it has infallibly been found that the well was dry, that the pump required priming, or that some other defect in the apparatus accounted for the anomalous action. In every case of the kind the skill of the pump-maker has been found to be the true remedy. In no case has the pressure of the atmosphere ceased ; con stancy, as regards the lifting of pump-water, has been hitherto the demonstrated rule of Nature. So also as regards Pascal's experiment. His experience has been the universal experience ever since. Men have climbed mountains, and gone up in balloons ; but no deviation from Pascal's result has ever been observed. Barometers, like pumps, have refused to act; but instead of indicating any suspension of the operations of Nature, or any interference on the part of its Author with atmospheric pressure, examination has in every instance fixed the anomaly upon the instruments themselves. It is this welding, then, of rigid logic to veri fying fact that Mr. Mozley refers to an " unreasoning im pulse." Let us now briefly consider the case of Newton. Before his time men had occupied themselves with the problem of the solar system. Kepler had deduced, from a vast mass of observations, the general expressions of planetary motion known as " Kepler's laws." It had been observed that a magnet attracts iron ; and by one of those flashes of inspi ration which reveal to the human mind the vast in the minute, the general in the particular, it occurred to Kepler, that the force by which bodies fall to the earth might also 62 FRAGMENTS OF SC be an attraction. Newton pondered all these things. He had a great power of pondering. He could look into the darkest subject until it became entirely luminous. How this light arises we cannot explain ; but, as a matter of fact, it does arise. Let me remark here, that this power of pondering facts is one with which the ancients could be but imperfectly acquainted. They found the uncontrolled exercise of the imagination too pleasant to expend much time in gathering and brooding over facts. Hence it is that when those whose education has been derived from the ancients speak of " the reason of man," they are apt to omit from their conception of reason one of its greatest powers. "Well, Newton slowly marshalled his thoughts, or rather they came to him while he "intended his mind," rising one after another like a series of intellectual births out of chaos. He made this idea of attraction his own. But to apply the idea to the solar system, it was necessary to know the magnitude of the attraction and the law of its variation with the distance. His conceptions first of all passed from the action of the earth as a whole, to that of its constituents particles, the integration of which composes the whole. And persistent thought brought more and more clearly out the final divination, that every particle of matter attracts every other particle by a force which varies inversely as the square of the distance between the par ticles. This is Newton's celebrated law of inverse squares. Here we have the flower and outcome of his induction ; and how to verify it, or to disprove it, was the next question. The first step of Newton in this direction was to prove, mathematically, that if this law of attraction be the true one ; if the earth be constituted of particles which obey this law ; then the action of a sphere equal to the earth in size on a body outside of it, is the same as that which would be exerted if the whole mass of the sphere were contracted to a point at its centre. Practically speaking, MIRACLES AND SPECIAL PROVIDENCES. 03 then, the centre of the earth is the point from which distances must be measured to bodies attracted by the earth. This was the first-fruit of his deduction. From experiments executed before his time, Newton knew the amount of the earth's attraction at the earth's sur face, or at a distance of 4,000 miles from its centre. His object now was to measure the attraction at a greater dis tance, and thus to determine the law of its diminution. But how was he to find a body at a sufficient distance ? He had no balloon, and even if had, he knew that any height which he could attain would be too small to enable him to solve his problem. WTiat did he do ? He fixed his thoughts upon the moon — a body at a distance of 240,000 miles, or sixty times the earth's radius from the earth's centre. He virtually weighed the moon, and found that weight to be 3-gVo^h of what it would be at the earth's surface. This is exactly what his theory required. I will not dwell here upon the pause of Newton after his first calculations, or speak of his self-denial in withholding them, because they did not quite agree with the observations then at his command. Newton's action in this matter is the normal action of the scientific mind. If it were otherwise — if scientific men were riot accustomed to demand verification — if they were satis fied with the imperfect while the perfect is attainable, their science, instead of being, as it is, a fortress of adamant, would be a house of clay, ill-fitted to bear the bufferings of the theologic storms to which it has been from time to time, and is at present exposed. Thus, we see, that Newton, like Torricelli, first pondered his facts, illuminated them with persistent thought, and finally divined the character of the force of gravitation. But having thus travelled inward to the principle, he had to re verse his steps, carry the principle outward, and justify it by demonstrating its fitness to external Nature. This he did by determining the attraction of the earth and moon. 64 FRAGMENTS OF SCIENCE. And here, in passing, I would notice a point which is well worthy of attention. Kepler had deduced his laws from observation. As far back as those observations ex tended, the planetary motions had obeyed these laws ; and, neither Kepler nor Newton entertained a doubt as to their continuing to obey them. Year after year, as the ages rolled, they believed that those laws would continue to illustrate themselves in the heavens. But this was not suf ficient. The scientific mind can find no repose in the mere registration of sequence in Nature. The further question intrudes itself with resistless might : whence conies the se quence ? What is it that binds the consequent with its an- ^tecedent in Nature ? The truly scientific intellect never can attain rest until it reaches the forces by which the observed succession is produced. It was thus with Torricelli ; it was thus with Newton ; it is thus preeminently with the real scientific man of to-day. In common with the most igno rant, he shares the belief that spring will succeed winter, that summer will succeed spring, that autumn will succeed summer, and that winter will succeed autumn. But he knows still further — and this knowledge is essential to his intellectual repose — that this succession, besides being per manent, is, under the circumstances, necessary ; that the gravitating force exerted between the sun, and a revolving sphere with an axis inclined to the plane of its orbit, tmint produce the observed succession of the seasons. Not until this relation between forces and phenomena has been es tablished is the law of reason rendered concentric with the law of Nature, and not until this is effected does the mind of the scientific philosopher rest in peace. The expectation of likeness, then, in the procession of phenomena is not that on which the scientific mind founds its belief in the order of Nature. If the force be permanent the phenomena are necessary, whether they resemble or do not resemble any thing that has gone before. Hence, in MIRACLES AND SPECIAL PROVIDENCES. 65 judging of the order of Nature, our inquiries eventually relate to the permanence of force. From Galileo to Newton, from Newton to our own time, eager eyes have been scan ning the heavens, and clear heads have been pondering the phenomena of the solar system. The same eyes and minds have been also observing, experimenting, and reflecting on the action of gravity at the surface of the earth. Nothing has occurred to indicate that the operation of the law has for a moment been suspended ; nothing has ever intimated that Nature has been crossed by spontaneous action, or that a state of things at any time existed which could not be rigorously deduced from the preceding state. Given the distribution of matter and the forces in operation in the time of Galileo, the competent mathematician of that day could predict what is now occurring in our own. We cal culate eclipses before they have occurred, and find them true to the second. We determine the dates of those that have occurred in the early times of history, and find calcu lations and history at peace. Anomalies and perturba tions in the planets have been over and over again observed, but these, instead of demonstrating any inconstancy on the part of natural law, have invariably been reduced to conse quences of that law. Instead of referring the perturba tions of Uranus to any interference on the part of the Author of Nature with the law of gravitation, the question which the astronomer proposed to himself was, " How, in accordance with this law, can the perturbation be pro duced ? " Guided by a principle, he was enabled to fix the point of space in which, if a mass of matter were placed, the observed perturbations would follow. We know the result. The practical astronomer turned his telescope tow ard the region which the intellect of the theoretic astrono mer had already explored, and the planet now named Neptune was found in its predicted place. A very re spectable outcome, it will be admitted, of an impulse which 66 FRAGMENTS OF SCIENCE. " rests upon no rational grounds, and can be traced to no rational principle ; " which possesses " no intellectual char acter ; " which " philosophy " has uprooted from " the ground of reason," and fixed in that " large irrational de partment " discovered for it by Mr. Mozley, in the hitherto unexplored wildernesses of the human mind. The proper function of the inductive principle, or the belief in the order of Nature, says Mr. Mozley, is " to act as a practical basis for the affairs of life, and the carrying on of human society." But what, it may be asked, has the planet Neptune, or the belts of Jupiter, or the whiteness about the poles of Mars, to do with the affairs of society ? How is society affected by the fact that the sun's atmos phere contains sodium, or that the nebula of Orion contains hydrogen gas ? Nineteen-twentieths of the force employed in the exercise of the inductive principle, wThich, reiterates Mr. Mozley, is " purely practical," have been expended upon subjects as unpractical as these. What practical interest has society in the fact that the spots on the sun have a decennial period, and that when a magnet is closely watched for half a century, it is found to perform small motions which synchronize with the appearance and disap pearance of the solar spots ? And yet, I doubt not, Sir Edward Sabine would deem a life of intellectual toil amply rewarded by being privileged to solve, at its close, these infinitesimal motions. The inductive principle is founded in man's desire to know — a desire arising from his position among phenom ena which are reducible to order by his intellect. The material universe is the complement of the intellect, and without the study of its laws reason would never have awoke to its higher forms of self-consciousness at all. It is the non-ego, through and by which the ego is endowed with self-discernment. We hold it to be an exercise of reason to explore the meaning of a universe to which we MIRACLES AND SPECIAL PROVIDENCES. 67 stand in this relation, and the work we have accomplished is the proper commentary on the methods we have pursued. Before these methods were adopted the unbridled imagi nation roamed through Nature, putting in the place of law the figments of superstitious dread. For thousands of years witchcraft, and magic, and miracles, and special provi dences, and Mr. Mozley's " distinctive reason of man," had the world to themselves. They made worse than nothing of it — worse, I say, because they let and hindered those who might have made something of it. Hence it is that during a single lifetime of this era of " unintelligent im pulse," the progress in natural knowledge is all but infinite as compared with that of the ages which preceded ours. The believers in magic and miracles of a couple of centuries ago had all the strength of Mr. Mozley's present logic on their side. They had done for themselves what he rejoices in having so effectually done for us — cleared the ground of the belief in the order of Nature, and declared magic, miracles, and witchcraft, to be matters for ordinary evidence to decide. "The principle of miracles" thus " befriended " had free scope, and we know the result. Lacking that rock-barrier of natural knowledge which we, laymen of England, now possess, keen jurists and cultivated men were hurried on to deeds, the bare recital of which makes the blood run cold. Skilled in all the rules of human evidence, and versed in all the arts of cross-examination, these men, nevertheless, went systematically astray, and committed the deadliest wrongs against humanity. And why ? Because they could not put Nature into the witness- box, and question her ; of her voiceless " testimony " they knew nothing. In all cases between man and man, their judgment was to be relied on ; but in all cases between man and Nature they were blind leaders of the blind.1 1 " In 1664 two women were hung in Suffolk, under a sentence of Sir Matthew Hale, who took the opportunity of declaring that the reality of 68 FRAGMENTS OF SCIENCE. Mr. Mozley concedes that it would be no great result for miracles to be accepted by the ignorant and superstitious, " because it is easy to satisfy those who do not inquire." But he does consider it " a great result " that they have been accepted by the educated. In what sense educated ? Like those statesmen, jurists, and church dignitaries whose education was unable to save them from the frightful errors glanced at above? Not even in this sense; for the great mass of Mr. Mozley's educated people had no legal training, and must have been absolutely defenceless against delusions which could set even that training at naught. Like nine- tenths of our clergy at the present day, they were versed in the literature of Greece, Rome, and Judea ; but as regards a knowledge of Nature, which is here the one thing needful, they were " noble savages," and nothing more. In the case of miracles, then, it behooves us to understand the weight of the negative, before we assign a value to the positive ; to comprehend the protest of Nature before we attempt to measure, with it, the assertions of men. We have only to open our eyes to see what honest, and even intellectual, men and women are capable of in the way of evidence in this nineteenth century of the Christian era, and in latitude fifty-two degrees north. The experience thus gained ought, I imagine, to influence our opinion regarding the testimony of people inhabiting a sunnier clime, with a richer imagination, and without a particle of that restraint which the discoveries of physical science have imposed upon mankind. witchcraft was unquestionable ; ' for first, the Scriptures had affirmed eo much ; and secondly, the wisdom of all nations had provided laws against such persons, which is an argument of their confidence of such a crime.' Sir Thomas Browne, who was a great physician as well as a great writer, was called as a witness, and swore ' that he was clearly of opinion that the persons were bewitched.' " — Lccky's History of Rationalism, vol. i. p. 120. MIRACLES AND SPECIAL PROVIDENCES. 69 Having thus submitted Mr. Mozley's views to the ex amination which they challenged at the hands of a student of the order of Nature, I am unwilling to quit his book without expressing my high admiration and respect for his ability. His failure, as I consider it to be, must, I think, await all attempts, however able, to deal with the material universe by logic and imagination, unaided by experiment and observation. With regard to the style of the book, I willingly subscribe to the description with which the Times winds up its able and appreciative review. " It is marked throughout with the most serious and earnest conviction, but is without a single word from first to last of asperity or insinuation against opponents, and this not from any de ficiency of feeling as to the importance of the issue, but from a deliberate and resolutely maintained self-control, and from an overruling, ever-present sense of the duty, on themes like these, of a more than judicial calmness." 1 [ To the argument regarding the quantity of the mirac ulous, introduced at page 52, Mr. Mozley has done me the honor of publishing a reply in the seventh volume of the Contemporary Jteview. — J. T., 1871.] 1 See Appendix at the eud of the book. IV. MATTER AND FORCE. A LECTURE TO THE WORKING-MEN OF DUNDEE. September 5, 1867. " Ilcard are the voices, Heard are the sages, The worlds and the ages, 4 Choose well, your choice is Brief and yet endless. " ' Here eyes do regard you In eternity's stillness ; Here is all fulness Ye brave to reward you, Work and despair not.' " GOKTHK. IY. MATTER AND FORCE. IT is the custom of the Professors in the Royal School of Mines in London to give courses of evening lectures every year to working-men. Each course is duly adver tised, and at a certain hour the working-men assemble to purchase tickets for the course. The lecture-room holds six hundred people, and tickets to this amount are disposed of as quickly as they can be handed to those who apply for them. So desirous are the working-men of London to attend these lectures, that the persons who fail to obtain tickets always bear a large proportion to those who suc ceed. Indeed, if the lecture-room could hold two thousand instead of six hundred, I do not doubt that every one of its benches would be occupied on these occasions. It is, moreover, worthy of remark that the lectures are but rarely of a character which could help the working-man in his daily pursuits. The knowledge acquired is hardly ever of a nature which admits of being turned into money. It is a pure desire for knowledge, as a thing good in itself, and without regard to its practical application, which animates these men. They wish to know more of the wonderful universe around them ; their minds desire this knowledge as naturally as their bodies desire food and drink, and to satisfy this intellectual want they come to the School of Mines. It is also my privilege to lecture to another audience in 4 71 FRACMHNTS OF SHKNCE. London, composed in part of the aristocracy of rank, while the audience just referred to is composed wholly of the aristocracy of labor. As regards attention and cour tesy to the lecturer, neither of these audiences has any thing to learn of the other ; neither can claim superiority over the other. I do not, however, think that it would / be quite correct to take those persons who flock to the School of Mines as average samples of their class ; they are probably picked men — the aristocracy of labor, as I have just called them. At all events, their conduct demonstrates that the essential qualities of a gentleman are confined to no class, and they have often raised in my mind the wisli that the gentlemen of all classes, artisans as well as lords, could, by some process of selection, be sifted from the general mass of the community, and caused to know each other better. When pressed some months ago by the Council of the British Association to give an evening lecture to the work ing-men of Dundee, my experience of the working-men of London naturally rose to my mind ; and, though heavily weighted with other duties, I could not bring myself to de cline the request of the Council. Hitherto, the evening discourses of the Association have been delivered before its members and associates alone. But after the meeting at Nottingham, last year, where the working-men, at their own request, were addressed by our late President, Mr. Grove, and by my excellent friend Professor Huxley, the idea rose of incorporating with all subsequent meetings of the Association an address to the working-men of the town in which the meeting is held. A resolution to that effect was sent to the Committee of Recommendations ; the com mittee supported the resolution ; the Council of the Asso ciation ratified the decision of the committee; :ind lu>re f am to carry out to the best of my ability their united wishes. MATTER AND FORCE. 75 Whether it be a consequence of long-continued develop ment, or an endowment conferred once for all on man at his creation, we find him here gifted with a mind, curious is to know the causes of things, and surrounded by objects which excite its questionings, and raise the desire for an explanation. It is related of a young prince of one of the Pacific Islands, that when he first saw himself in a looking- glass, he ran round the glass to see who was standing at the back. And thus it is with the general human intellect, as regards the phenomena of the external world. It wishes to get behind and learn the causes and connections of these fc phenomena. What is the sun, what is the earth, what should we see if we came to the edge of the earth and looked over? What is the meaning of thunder and light ning, of hail, rain, storm, and snow ? Such questions pre sented themselves to early men, and by-and-by it was dis covered, that this desire for knowledge was not implanted in vain. After many trials it became evident that man's capacities were, so to speak, the complement of Nature's - facts, and that, within certain limits, the secret of the uni verse was open to the human understanding. It was found that the mind of man had the power of penetrating far be yond the boundaries of his five senses ; that the things which are seen in the material world depend for their action upon things unseen ; in short, that besides the phenomena which address the senses, there are laws and principles and processes which do not address the senses at all, but which must be, and can be, spiritually discerned. There are two things which form, so to say, the sub stance of all scientific thought. The entire play of the scientific intellect is confined to the combination and res olution of the ideas of matter and force. Newton, it is said, saw an apple fall. To the common mind this pre sented no difficulty and excited no question. Not so with Newton. He observed the fact ; but one side of his great 76 FRAGMENTS OF SCIENCE. intellectual nature was left unsatisfied by the mere act of observation. He sought after the principle which ruled the fact. Whether this anecdote be true or not, it illus trates how the ordinary operations of Nature, which most people take for granted as perfectly plain and simple, are ^ often those which most puzzle the scientific man. To the conception of the matter of the apple, Newton added that of the force that moved it. The falling of the apple was due to an attraction exerted mutually between it and the earth. He applied the idea of this force to suns, and plan ets, and moons, and showed that all their motions were necessary consequences of this attraction. Newton, you know, was preceded by a grand fellow named John Kepler — a true working-man — who, by analyz ing the astronomical observations of his master, Tycho Brahe, had actually found that the planets moved as they are now known to move. As a matter of fact, Kepler knew as much about the motion of the planets as Newton did ; in fact, Kepler taught Newton and the world generally the facts of planetary motion. But this was not enough. The question arose — Why should the facts be so ? This was the great question for Newton, and it was the solution of this question which renders his name and fame immortal. He proved that the planetary motions were what observa tion made them to be, because every particle of matter in the solar system attracts every other particle by a force which varies as the inverse square of the distance between the particles. He showed that the moon fell toward the earth, and that the planets fell toward the sun, through the operation of the same force that pulls an apple from its tree. This all-pervading force, \vhich forms the sojder of the material universe, and the conception of which was necessary to Newton's intellectual peace, is called the force ^ of gravitation. All force may be ultimately reduced to a push or a pull in ^ MATTER AND FORCE. 77 a straight line ;'but its manifestations are various, and some times so complex as entirely to disguise its elementary con stituents. Its different manifestations have received differ ent names. Here, for example, is a magnet freely suspended. I bring the end of a second magnet near one of the ends of the suspended one — attraction is the consequence. I re verse the position of one of the magnets — repulsion follows. This display of power is called magnetic force. In the case of gravitation we have a simple attraction, in the case of magnetism attraction and repulsion always go together. Thus magnetism is a double force, or, as it is usually called, a polar force. I present a bit of common iron to the magnet, the iron itself becomes a temporary magnet, and it now possesses the power of attracting other iron. And if sev eral pieces of iron be presented at the same time, not only will the magnet act on them, but they will also act upon each other. This leads me to j&if experiment which will give you some idea of how bodies arrange themselves under the operation of a polar force. Underneath this plate of glass is placed a small magnet, and by an optical arrangement comprising a powerful lamp, a magnified image of the mag net is now cast upon the screen before you. I scatter iron filings over the glass. You already notice a certain arrange ment of the particles of iron. Their free action is, how ever, hampered by friction. I therefore tap the glass, liberate the particles, which, as I tap, arrange themselves in these beautiful curves. This experiment is intended to make clear to you how a definite arrangement of particles — a kind of incipient structure — may result from the oper ation of a polar force. We shall by-and-by see far more wonderful exhibitions of the same structural action when we come to deal with the force of crystallization. The magnetic force has here acted upon particles of matter visible to the eye. But, as already stated, there are 78 FRAGMENTS OF SCIENCE. numerous processes in Nature which entirely elude the eye of the body, and must be figured by the eye of the miiul. The processes of chemistry are examples of these. Long thinking and experimenting on the materials which compose our world have led philosophers to conclude that matter is composed of atoms from which, whether separate or in com- bination, the whole material world is built up. The air we breathe, for example, is mainly a mixture of the atoms of two distinct substances, called oxygen and nitrogen. The water we drink is also composed of two distinct substances, called oxygen and hydrogen. But it differs from the air in this particular, that in water the oxygen and hydrogen are not mechanically mixed, but chemically combined. In fact, the atoms of oxygen and those of hydrogen exert enormous attractions on each other, so that when brought into sufficient proximity they rush together with an almost incredible force to form a chemical compound. But powerful as is the force with which these atoms lock themselves together, we have the means of tearing them asunder, and the agent by which we accomplish this may here receive a few moments' attention. Into a vessel containing acidulated water I dip these two strips of metal, the one being zinc and the other plati num, not permitting them to touch each other in the liquid. I now connect the two upper ends of the strips by a piece of copper wire. The wire is apparently unchanged, but it is not so in reality. It is now the channel of what, for want of a better name, we call an electric current — a power generated and maintained by the chemical action going on in the vessel of acidulated water. What the inner change of the wire is we do not know, but we do know that a change has occurred, by the external effects produced by the wire. Let me show you one or two of these effects. And here it is convenient to operate with greater power than can be ob tained from a single small pan: of strips of metal, and a MATTER AND FORCE. 79 single vessel of acidulated water. Before you is a series of ten vessels, each with its pair of metals, and I wish to get the added force of all ten. This arrangement is called a voltaic battery. I take a piece of copper wire in my hand, and plunge it among these iron filings ; they refuse to cling to it ; the wire has no power over the filings. J now em ploy the self-same wire to connect the two ends of the bat tery, and subject it to the same test. The iron filings now crowd round the wire and cling to it. This is one of the effects of the electric current now traversing the wire. I interrupt the current, and the filings immediately fall ; the power of attraction continues only so long as the wire con nects the two ends of the battery. Here is a piece of similar wire, overspun with cotton, to prevent the contact of its various parts. It is formed into a coil, which at present has no power over these iron nails ; but I now make the coil part of the wire which connects the two ends of the voltaic battery. No visible change has occurred in the coil, but it is no longer what it was. By the attractive force with which it has become suddenly en dowed, it now empties this tool-box of its nails. I twist a covered copper wire round this common poker. At present the poker is powerless over these iron nails ; but when we connect with the wire surrounding the poker the two ends of the voltaic battery, the poker is instantly transformed into a strong magnet. Here, again, are two flat spirals sus pended facing each other. They are about six inches apart. By turning this handle in a certain direction a cur rent is sent through both spirals. When this is done they clash suddenly together, being drawn together by their mu tual attraction. By turning the handle in another direction, I reverse what is called the direction of the current in one of the spirals, and now they fly asunder, being driven apart by their mutual repulsion. All these effects are due to the power which we name an electric current, and which we 80 FRAGMENTS OF SCIENCE. figure as flowing through the wire when the voltaic circuit is complete. I have said that no visible change occurs in the wire when the current passes through it. Still a change over and above what you have seen really does take place. Lay hold of those spirals, and you will find them warm. Let me exalt this warmth so as to render it visible to you. In front of the table is a thin platinum wire six feet long. On sending a current from a battery of fifty pairs of plates through this wire it glows, as you see, vividly red. I shorten the wire ; more electricity now flows through it, and its light becomes more intense. It is now bright yellow ; and now it is a dazzling white. This light is so strong that though the wrire is not much thicker than a bristle, it ap pears to those on the nearest benches as thick as a quill ; Avliile to those at a distance it appears as thick as a man's finger. This effect, which we call irradiation, is always pro duced by a very strong light. It is this same electric cur rent that furnished us with the powerful light employed in one of our first experiments. The lamp then made use of is provided with these coke rods ; and when the electric current passes between them we obtain a light almost as brilliant as that of the sun. And now let us return to the point at which the elec tric current was introduced — the point, namely, where the tearing asunder of the locked atoms of a chemical com pound was spoken of. The agent by which we effect this is also the electric current; and I hope to make its action visible to you all. Into this small cell, containing water, dip two thin wires. By means of a solar microscope and the powerful light of our electric lamp, a magnified image of this cell is thrown upon the screen before you. You see plainly the images of the wires. And now I send from a second small battery which rests upon this table an electric current from wire to wire. Bubbles of gas rise MATTER AND FORCE. 81 immediately from each of them, and these are the two gases of which the water is composed. The ox}^gen is always liberated on the one wire, the hj-drogen on the other. The two gases may be collected separately ; in fact, they have been thus collected in these jars. A lighted taper* placed in one jar inflames the gas, which proves it to be hydrogen ; a burning ember of wood placed in the other jar instantly bursts into vivid combustion, which proves the gas in the jar to be oxygen. I place upon my hand a soap-bubble filled with a mixture of both gases in the exact proportions in which they exist in water. Apply ing a taper to the bubble, a loud explosion is heard. The gases have rushed together with detonation, but without injury to my hand, and the water from which they were extracted is the result of the reunion. I wish you to see with the utmost possible clearness what has here taken place,- First, then, you are to re member that to form water the proportions by weight of oxygen and hydrogen are as eight to one. Eight ounces of oxygen, for example, unite with one of hydrogen to form nine ounces of water. But if, instead of comparing weights, we compare volumes, two volumes of hydrogen unite with one of oxygen to form water. Now, these vol umes, and not the weights, express the proportions in which the atoms of hydrogen unite with those of oxygen. In the act of combination two atoms of hydrogen combine with one of oxygen to form what we call the molecule of water. Every such molecule is a group of three atoms, two of which are hydrogen and one oxygen. One consequence of the rushing together of the atoms is the development of heat. What is this heat ? How are we to figure it before our minds ? I do not despair of being able to give you a tolerably distinct answer to this ' question. Here are two ivory balls suspended from the same point of support by two short strings. I draw them 82 FRAGMENTS OF SCIEXCF, thus apart and then liberate them. They clash together, but, by virtue of their elasticity, they quickly recoil from each other, and a sharp vibratory rattle succeeds their col lision. This experiment will enable you to figure to your mind a pair of clashing atoms. We have, in the first place, a motion of the one atom toward the other — a motion of translation, as it is usually called. But when the atoms come sufficiently near each other, elastic repulsion sets in, the motion of translation is stopped and converted into a motion of vibration. To this vibratory motion we give the name of heat. Thus, three things are to be kept before the mind — first, the atoms themselves ; secondly, the force with which they attract each other ; and thirdly, the mo tion consequent upon the exertion of that force. This mo tion must be figured first as a motion of translation, and then as a motion of vibration ; and it is not until the mo tion reaches the vibratory stage that we give it the name of heat. It is this motion imparted to the nerves that pro duces the sensation of heat. It would be useless to attempt a more detailed descrip tion of this molecular motion. After the atoms have been thrown into this state of agitation, very complicated motions must ensue from their incessant collision. There must be a wild whirling about among the molecules. For some time after the act of combination this action is so violent as to prevent the molecules from coming together. The water is maintained for a time in a state of vapor. But as the vapor cools, or in other words loses its mo tion, the water molecules coalesce to form a liquid. Ami now we are approaching a new and wonderful display of force. No one who had only seen water in its vaporous or liquid form could imagine the existence of the forces now to be referred to ; for as long as the substance remains in a lii|iii(l or vaporous condition, the play of these forces is altogether masked and hidden. But let the heat be gradu- MATTER AND FORCE. 83 ally withdrawn, the antagonist to their union being re moved, the molecules prepare for new arrangements and combinations. Like the particles of iron in our magnetic experiment, the water molecules are endowed with attractive and repulsive poles, and they arrange themselves together in accordance with these attractions and repulsions. Solid crystals of water are thus formed, to which we give the fa miliar name of ice. To the eye of science these ice-crystals are as precious as the diamond — as purely formed, as deli cately built. Where no disturbing causes intervene, there is no disorder in this crystalline architecture. By their own constructive power molecule builds itself on to molecule with a precision far greater than that attainable by the hands of man. We are apt to overlook the wonderful when it becomes common. Imagine the bricks and stones of this town of Dundee endowed with locomotive power. Im agine them attracting and repelling each other, and arrang ing themselves in consequence of these attractions and re pulsions to form streets and houses and Kinnaird Halls ; would not that be wonderful ? Hardly less wonderful is the play of force by which the molecules of water build themselves into the sheets of crystal which every winter roof your ponds and lakes. If I could show you the actual progress of this molecu lar architecture, its beauty would delight and astonish you. A reversal of the process may be actually shown. The molecules of a piece of ice may be taken asunder before your eyes, and from the manner in which they separate, you may to some extent infer the manner in which they aggre gate. When a beam is sent from our electric lamp through a plate of glass, a portion of the beam is intercepted, and the glass is warmed by the portion thus retained within it. When the beam is sent through a plate of ice, a portion of the beam is also absorbed ; but instead of warming the ice, the intercepted heat melts it internally. It is to the 84 FRAGMENTS OF SCIENCE. delicate, silent action of this beam within the ice that I now wish to direct your attention. Upon the screen is thrown a magnified image of the slab of ice : the light of the beam passes freely through the ice without melting it, and enables us to form the image, but the heat of the beam is in great part intercepted by the ice, and that heat no\v applies itself to the work of internal liquefaction. Observe those stars breaking out over the white surface, and expanding in size as the action of the beam continues. These stars are liquefied ice, and each of them, you ob serve, has six rays. They still more closely resemble flowers, each of six petals. Under the action of the heat the molecules of the ice fall asunder, so as to leave be hind them these exquisite forms. We have here the pro cess of crystallization reversed. In this fashion, and in strict accordance with this hexangular type every ice mole cule takes its place upon our ponds and lakes during the frosts of winter. To use the language of an American poet, " the atoms march in tune," moving to the music of law, which thus renders the commonest substance in Na ture a miracle of beauty. It is the function of science, not as some think to divest L- this universe of its wonder and its mystery, but, as in the case here before us, to point out the wonder and the mystery of common things. Those fern-like forms, which on a frosty morning overspread your window-panes, illus trate the action of the same force. Breathe upon such a pane before the fires are lighted, and reduce the solid crys talline film to the liquid condition, then watch its subse quent appearance. You will see it all the better if you look at it through a common magnifying-glass. After you have ceased breathing, the film, abandoned to the action of its own forces, appears for a moment to be alive. Lines of motion run through it ; molecule closes with molecule, until finally the whole film passes from the state of liquidity, MATTER AND FORCE. 85 through this state of motion, to its final crystalline re pose. i ' I can show you something similar. Over a piece of perfectly clean glass I pour a little water in which a crystal has been dissolved. A film of the solution clings to the glass, and this film will now be caused to crystallize before your eyes. By means of a microscope and a lamp, an image of the plate of glass is thrown upon the screen. The beam of the lamp, besides illuminating the glass, also heats it ; evaporation sets in, and, at a certain moment, when the solution has become supersaturated, splendid branches of crystals shoot out over the screen. A dozen square feet of surface are now covered by those beautiful forms. With another solution we obtain crystalline spears, feathered right and left by other spears. From distant nuclei in the middle of the field of view the spears shoot with magical rapidity in all directions. The film of water on a window- pane on a frosty morning exhibits effects quite as wonderful as these. Latent in this formless solution, latent in every drop of water, lies this marvellous structural power, which only requires the withdrawal of opposing forces to bring it into action. Our next experiment on crystallization you will probably consider more startling even than these. The clear liquid now held up before you is a solution of nitrate of silver — a compound of silver and nitric acid. When an electric cur rent is sent through this liquid the silver is severed from the acid, as the hydrogen was separated from the oxygen in a former experiment ; and I would ask you to observe how the metal behaves when its molecules are thus succes sively set free. The image of the cell, and of the two wires which dip into the liquid of the cell, are now clearly shown upon the screen. Let us close the circuit, and send the current through the liquid. From one of the wires a beau tiful silver tree commences immediately to sprout. Branches 86 FRAGMENTS OF SCIENCE. of the metal are thrown out, and umbrageous foliage loads the branches. You have here a growth apparently as won derful as that of any vegetable perfected in a minute before your eyes. Substituting for the nitrate of silver acetate of lead, which is a compound of lead and acetic acid, the electric current severs the lead from the acid, and there you see the metal slowly branching into these exquisite metallic ferns, the fronds of which, as they become too heavy, break from their roots and fall to the bottom of the cell. These experiments show that the common matter of our earth — " brute matter," as Dr. Young pleases to call it — when its atoms and molecules are permitted to bring then- forces into free play, arranges itself, under the operation of these forces, into forms which rival in beauty those of the vegetable world. And what is the vegetable world itself but the result of the complex play of these molecular forces ? Here, as elsewhere throughout Nature, if matter moves, it is force that moves it ; and if a certain structure, vegetable or mineral, is produced, it is through the operation of the forces exerted between the atoms and molecules. These atoms and molecules resemble little magnets with mutually attractive and mutually repellant poles. The attracting poles unite, the repellant poles retreat, and vegetable as well as mineral forms are the final expression of this com plicated molecular action. In the formation of our lead and silver trees, we needed an agent to wrest the lead and the silver from the acids with which they were combined. A similar agent is re quired in the vegetable world. The solid matter of which our lead and silver trees were formed was, in the first in stance, disguised in a transparent liquid ; the solid matter of which our woods and forests are composed is also, for the most part, disguised in a transparent gas, which is mixed in small quantities with the air of our atmosphere. This gas is formed by the union of carbon and oxygen, and MATTER AND FORCE. 87 is called carbonic acid gas. Two atoms of oxygen and one of carbon unite to form the molecule of carbonic acid which, as I have said, is the material from which wood and vege table tissues are mainly derived. The carbonic acid of the air being subjected to an action somewhat analogous to that of the electric current in the case of our lead and silver solutions, has its carbon liberated and deposited as woody fibre. The watery vapor of the air is subjected to similar action ; its Irydrogen is liberated from its oxygen, and lies doAvn side by side with the carbon in the tissues of the tree. The oxygen in both cases is permitted to wander away into the atmosphere. But what is it which thus tears the carbon and the hydrogen from the strong embrace of the oxygen ? What is it in Nature that plays the part of the electric current in our experiments ? The rays of sun. The leaves of the plants absorb both the carbonic acid and the aqueous vapor of the air; these leaves an swer to the cells in which our decompositions by the electric current took place. In the leaves the solar rays decompose both the carbonic acid and the water, permitting the oxygen in both cases to escape into the air, and allowing the carbon and the hydrogen to follow the bent of their own forces. And just as the molecular attractions of the silver and the lead found expression in the production of those beautiful branching forms seen in our experiments, so do the molecular attractions of the liberated carbon and hydrogen find ex pression in the architecture of grasses, plants, and trees. In the fall of a cataract and the rush of the wind we have examples of mechanical power. In the combinations of chemistry and in the formation of crystals and vegetables we have examples of molecular power. But before pro ceeding further I should like to make clear to you the present condition of the surface of our globe wTith reference to powTer generally. You have learned how the atoms of oxygen and hydrogen rush together to form water. I have 88 FRAGMENTS OF SCIENCE. not thought it necessary to dwell upon the mighty mechani cal energy of their act of combination, but, in passing, I would say that the clashing together of 1 Ib. of hydrogen and 8 Ibs. of oxygen to form 9 Ibs. of aqueous vapor, is greater than the clash of a weight of 1,000 tons falling from a height of 20 feet against the earth. Now, in order that the atoms of oxygen arid hydrogen should rise by their mutual attractions to the velocity corresponding to this enormous mechanical effect, a certain distance must exist between the particles. It is in rushing over this that the velocity is attained. This idea of distance between the attracting atoms is of the highest importance in our conception of the system of the world. For the world may be divided into two kinds of matter ; or rather the matter of the world may be classi fied under two distinct heads — namely, of atoms and mole cules which have already rushed together and thus satisfied their mutual attractions, and of atoms and molecules which have not yet rushed together, and whose mutual attractions are, therefore, as yet unsatisfied. Now, as regards motive power, the working of machinery, or the performance of mechanical work generally, by means of the materials of the earth's crust, we are entirely dependent on those atoms; and molecules whose attractions are as yet unsatisfied. Those attractions can produce motion, because sufficient distance intervenes between the attracting molecules, and it is this molecular motion that we utilize in our machines. Thus we can get power out of oxygen and hydrogen by the ;i< -i of their union, but once they are combined, and once the motion consequent on their combination has been expended, no further power can be got out of the mutual attraction of oxygen and hydrogen. As dynamic agents they are dead. If we examine the materials of which the earth's crust is composed, we find them to consist for the most part of substances whose atoms have already closed in chetnical MATTER AND FORCE. 89 union — whose mutual attractions are satisfied. Granite, for instance, is a widely-diffused substance, but granite consists, in great part, of silicon, oxygen, potassium, cal cium, and aluminum, the atoms of which substances met long ago in chemical combination, and are therefore dead. Limestone is also a widely-diffused substance. It is com posed of carbon, oxygen, and a metal called calcium. But the atoms of those substances closed long ago in chemical union, and are therefore dead. And in this way we might go over the whole of the materials of the earth's crust, and satisfy ourselves that though they were sources of power in ages past, and long before any being appeared on the surface of the earth capable of turning their power to account, they are sources of power no longer. And here we might halt for a moment to remark on that tendency, ^ so prevalent in the world, to regard every thing as made for human use. Those who entertain this notion hold, I think, an overweening opinion of their own importance in the system of Nature. Flowers bloomed before men saw them, and the quantity of power wasted before man could utilize \, it is all but infinite compared with what now remains to be applied. The healthy attitude of mind with reference to this subject is that of the poet, who, when asked whence came the rhodora, replied : " Why thou wert there, 0 rival of the rose ! I never thought to ask, I never knew, But in my simple ignorance supposed The self-same power that brought me there brought you." 1 A few exceptions to this general state of union of the particles of the earth's crust — all-important to us, but trivial in comparison to the total store of which they are the resi due — still remain. They constitute our main sources of motive power. By far the most important of these are our 1 Emerson. 90 l-'IIACMKNTS OF SCIENCE. beds of coal, composed chiefly of carbon, which has not yet closed in chemical union with oxygen. Distance still inter venes between the atoms of carbon and those of oxygen, across which the atoms may be impelled by their mutual attractions, and we can do nothing more than utilize the motion produced by this attraction. Once the carbon and the oxygen have rushed together, so as to form carbonic acid, their mutual attractions are satisfied, and, while they continue in this condition, as dynamic agents they are dead. A pound of coal produces by its combination with oxygen an amount of heat which, if mechanically applied, would raise a weight of 100 Ibs. to a height of twenty miles above the earth's surface. Conversely, 100 Ibs. falling from a height of twenty miles, and striking against the earth, would generate an amount of heat equal to that devel oped by the combustion of a pound of coal. Wherever work is done by heat, heat disappears. A gun which fires a ball is less heated than one which fires blank cartridge. The quantity of heat communicated to the boiler of a working steam-engine is greater than that which could be obtained from the recondensation of the steam after it had done its work ; and the amount of work performed is the exact equivalent of the amount of heat missing. We dig annually nearly 100 millions of tons of coal from our pits. The amount of mechanical force represented by this quantity of coal seems perfectly fabulous. The combustion of a single pound of coal, supposing it to take place in a minute, would be equivalent to the work of 300 horses; and if we suppose 120 millions of horses working day and night with unimpaired strength, for a year, their united energies would enable them to perform an amount of work just equivalent to the heat to be derived from the annual produce of our coal-fields. Our woods and forests are also sources of mechanical energy, because they also have the power of uniting with the atmospheric oxygen, and the molecular MATTER AND FORCE. 91 motion produced in the act of union may be turned to mechanical account. Passing from dead matter to living ^ matter, we find that the source of motive power here re ferred to is also the source of muscular power. A horse can perform work, and so can a man, but this work is at bottom the molecular work of the elements of the food and the oxygen of the air. We inhale this vital gas, and bring it into sufficiently close proximity with the carbon and the hydrogen of the food. They unite in obedience to their mutual attractions, and their motion toward each other, properly turned to account by the wronderful mechanism of the body, becomes muscular motion. One fundamental thought pervades all these statements : / there is one-tap root from which they all spring. This is the ancient maxim that out of nothing nothing comes ; that neither in the organic world nor in the inorganic is power produced without the expenditure of other power; that neither in the plant nor in the animal is there a creation of force or motion. Trees grow, and so do men and horses ;^ and here we have new power incessantly introduced upon the earth. But its source, as I have already stated, is the sun. For he it is who separates the carbon from the oxy gen of the carbonic acid, and thus enables them to recom- bine. Whether they recombine in the furnace of the steam-engine or in the animal body, the origin of the power they produce is the same. In this sense we are all " souls of fire and children of the sun." But, as remarked by Helmholtz, we must be content to share our celestial pedigree with the meanest living things. The frog, and the toad, and those terrible creatures, the monkey and {/ the gorilla, draw their power from the same source as man. . Some estimable persons, here present, very possibly shrink from accepting these statements ; they may be frightened by their apparent tendency toward what is called 92 FRAGMENTS OF SCIENCE. materialism — a word which, to many minds, expresses some thing very dreadful. But it ought to be known and avowed that the physical philosopher, as such, must be a pure ma terialist. His inquiries deal with matter and force, and with them alone. The action which he has to investigate is necessary action ; not spontaneous action — the transfor mation, not the creation, of matter and force. And what ever be the forms which matter and force may assume, whether in the organic world or in the inorganic, whether in the coal-beds and forests of the earth, or in the brains and muscles of men, the physical philosopher will make good his right to investigate them. It is perfectly vain to attempt to stop inquiry as to the actual and possible actions of matter and force. Depend upon it, if a chemist by bringing the proper materials together, in a retort or crucible, could make a baby, he would do it. There is no law, moral or physical, forbidding him to do it — his in quiries in this direction are limited solely by his own ca pacity and the laws of matter and force. At the present moment there are, no doubt, persons experimenting on the possibility of producing what we call life out of in organic materials. Let them pursue their studies in peace ; it is only by such trials that they will learn the limits of their powers. But while I thus make the largest demand for freedom of investigation — while I as a man of science feel a natural pride in scientific achievement, wrhile I regard science as the most powerful instrument of intellectual culture, as well as the most powerful ministrant to the material wants of men ; if you ask me whether science has solved, or is likely in our day to solve, the problem of this universe, I must shake my head in doubt. You remember the first Napoleon's ques tion, when the savans who accompanied him to Egypt dis cussed in his presence the origin of the universe, and sol VIM! it to their own apparent satisfaction. He looked aloft to MATTER AND FORCE. 93 the starry heavens, and said, " It is all very well, gentle men ; but who made all these ? " That question still re mains unanswered, and science makes no attempt to answer it. As far as I can see, there is no quality in the human intellect which is fit to be applied to the solution of the problem. It entirely transcends us. The mind of man may be compared to a musical instrument with a certain range of notes, beyond which in both directions we have an infinitude of silence. The phenomena of matter and force lie within our intellectual range, and as far as they reach we will at all hazards push our inquiries. But behind, and above, and around all, the real mystery of this universe lies unsolved, and, as far as we are concerned, is incapable of solution. Fashion this mystery as you will, with that I have nothing to do. But be careful that your conception of it be not an unworthy one. Invest that conception with your highest and holiest thought, but be careful of pre tending to know more about it than is given to man to know. Be careful, above all things, of professing to see in the phenomena of the material world the evidences of Di vine pleasure or displeasure. Doubt those who would deduce from the fall of the tower of Siloam the anger of the Lord against those who were crushed. Doubt those equally who pretend to see in cholera, cattle-plague, and bad har vests, evidences of Divine" anger. Doubt those spiritual guides who in Scotland have lately propounded the mon strous theory that the depreciation of railway scrip is a con sequence of railway travelling on a Sunday. Let them not, as far as you are concerned, label and libel the system of Nature with their ignorant hypotheses. Well might the mightiest of living Scotchmen, that hero of the intellect who might have been a hero in the field, that strong and earnest soul who has made every soul of like nature in these islands his debtor — looking from the solitudes of thought into this highest of questions, well, I say, might 94 FRAGMENTS OF SCIENCE. your noble old Carlyle scornfully retort on such interpreters of the ways of God to men : The Builder of this universe was wise, He formed all souls, all systems, planets, particles ; The plan he formed his worlds and ^Eons by, Y*"us — Heavens ! — was thy small nine-and-thirty articles ! V. ADDRESS TO THE STUDENTS OF UNIVER- , SITY COLLEGE, LONDON, ON THE DISTRIBUTION OF PHIZES IN THE FACULTY OF AliTS. Session 1868-'69. " Self-reverence, self-knowledge, self-control, These three alone lead life to sovereign power, Yet not for power (power of herself Would come uncalled for), but to live by law, Acting the law we live by without fear ; And, because right is right, to follow right Were wisdom in the scorn of consequence." TENNYSON. Y. AN ADDRESS TO STUDENTS. THERE is an idea regarding the nature of man which modern philosophy has sought, and is still seeking, to raise into clearness, the idea, namely, of secular growth. Man is not a thing of yesterday ; nor do I imagine that the slightest controversial tinge is imported into this address when I say that he is not a thing of 6,000 years ago. Whether he came originally from stocks or stones, from nebulous gas or solar fire, I know not ; if he had any such origin the process of his transformation is as inscrutable to you and to me as that of the grand old legend, according to which " the Lord God formed man of the dust of the ground, and breathed into his nostrils the breath of life ; and man became a living soul." But, however obscure man's origin may be, his growth is not to be denied. Here a little and there a little added through the ages have slowly transformed him from what he Avas into what he is. The doctrine has been held that the mind of the child is like a sheet of white paper, on which by education we can write what characters we please. This doctrine assuredly needs qualification and correction. In physics, when an external force is applied to a body with a view of affecting its inner texture, if we wish to predict the result, we must know whether the external force conspires with or opposes the internal forces of the body itself; and in bringing the influ ence of education to bear upon the new-born man his inner 5 98 FRAGMENTS OF SCIENCE. powers must be also taken into account. He comes to us as a bundle of inherited capacities and tendencies, labelled " from the indefinite past to the indefinite future ; " and he makes his transit from the one to the other through the education of the present time. The object of that educa tion is, or ought to be, to provide wise exercise for his ca pacities, wise direction for his tendencies, and through this exercise and this direction to furnish his mind with such knowledge as may contribute to the usefulness, the beauty, and the nobleness of his life. How is this discipline to be secured, tin's knowledge im parted ? Two rival methods now solicit attention — the one organized and equipped, the labor of centuries having been expended in bringing it to its present state of perfection ; the other, more or less chaotic, but becoming daily less so, and giving signs of enormous power, both as a source of knowledge and as a means of discipline. These two methods are the classical and the scientific method. I wish they were not rivals ; it is only bigotry and short-sighted ness that make them so ; for assuredly it is possible to give both of them fair play. Though hardly authorized to ex press any opinion whatever upon the subject, I nevertheless hold the opinion that the proper study of a language is an intellectual discipline of the highest kind. If I except dis cussions on the comparative merits of popery and Protes tantism, English grammar was the most important discipline of my boyhood. The piercing through the involved and inverted sentences of "Paradise Lost;" the linking of the verb to its often distant nominative, of the relative to its distant antecedent, of the agent to the object of the transi tive verb, of the preposition to the noun or pronoun which it governed — the study of variations in mood and tense, the transformations often necessary to bring out the true gram- mat ical structure of a sentence — all this was to my young mind n discipline of the highest value, and, indeed, a source AN ADDRESS TO STUDENTS. 99 of unflagging delight. How I rejoiced when I found a great author tripping, and was fairly able to pin him to a corner from which there was no escape ! As I speak, some of the sentences which exercised me when a boy rise to my recollection. "He that hath ears to hear let him hear." That was one of them, where the " He " is left, as it were, floating in mid air without any verb to support it. I speak thus of English because it was of real value to me. I do not speak of other languages because their educational value for me was almost insensible. But, knowing the value of English so well, I should be the last to deny, or even to doubt, the high discipline involved in the proper study of Latin and Greek. That study, moreover, has other merits and recommen dations which have been already slightly touched upon. It is organized and systematized by long-continued use. It is an instrument wielded • by some of the best intellects of the country in the education of youth ; and it can point to results in the achievements of our foremost men. What,\ then, has science to offer which is in the least degree likely , to compete with such a system ? I cannot better reply than by recurring to the grand old story from which I have / already quoted. Speaking of the world and all that therein is, of the sky and the stars around it, the ancient writer says, " And God saw all that he had made, and behold it was very good." It is the body of things thus described which science offers to the study of man. There is a very renowned argument much prized and much quoted by theologians, in which the universe is compared to a watch. Let us deal practically with this comparison. Supposing a watchmaker, having completed his instrument, to be so satisfied with his work as to call it very good, what would you understand him to mean ? You would not suppose that he referred to the dial-plate in front and the chasing of the case behind, so much as to the wheels and pinions, 100 FRAGMENTS OF SCIEXCK. the springs and jewelled pivots of the works within, those qualities and powers, in short, which enable the watch to perform accurately its work as a keeper of time. With re gard to the knowledge of such a watch he would be a mere ignoramus who would content himself with outward inspec tion. I do not wish to say one severe word here to-dav, but I fear that many of those who are very loud in their praise of the works of the Lord know them only in this out- xfeide and superficial way. It is the inner works of the uni verse which science reverently uncovers ; it is the study of these that she recommends as a discipline worthy of all acceptation. The ultimate problem of physics is to reduce matter by analysis to its lowest condition of divisibility, and force to its simplest manifestations, and then by synthesis to con struct from these elements the world as it stands. We are still a long way from the final solution of this problem ; and when the solution comes, it will be one more of spir itual insight than of actual observation. But though we are still a long way from this complete intellectual mastery of Nature, we have conquered vast regions of it, have learned their polities and the play of their powers. We live upon a ball of matter eight thousand miles in diameter, s \vathed by an atmosphere of unknown height. This ball has been molten by heat, chilled to a solid, and sculptured by water ; it is made up of substances possessing distinctive properties and modes of action, properties which have an immediate bearing upon the continuance of man in health, and on his recovery from disease, on which moreover de pend all the arts of industrial life. These properties and modes of action offer problems to the intellect, some profit able to the child, and others sufficient to tax the highr-t powers of the philosopher. Our native sphere turns on its axis and revolves in space. It is one of a band which do the same. It is illuminated by a sun which, though nearly AN ADDRESS TO STUDENTS. 101 a hundred nlillions of miles distant, can be brought virtually into our closets and there subjected to examination. It ^ has its winds and clouds, its rain and frost, its light, heat, sound, electricity, and magnetism. And it has its vast kingdoms of animals and vegetables. To a most amazing extent the human mind has conquered these things, and revealed the logic which runs through them. Were they facts only, without logical relationship, science might, as a means of discipline, suffer in comparison with language. But the whole body of phenomena is instinct with law ; the facts are hung on principles, and the value of physical science as a means of discipline consists in the motion of the intellect, both inductively and deductively, along the lines of law marked out by phenomena. As regards that discipline to which I have already referred as derivable from the study of languages — that, and more, are involved in the study of physical science. Indeed, I believe it would be possible so to limit and arrange the study of a portion of physics as to render the mental exercise involved in it almost qualitatively the same as that involved in the un ravelling of a language. I have thus far limited myself to the purely intellectual side of this question. But man is not all intellect. If he were so, science would, I believe, be his proper nutriment. But he feels as well as thinks ; he is receptive of the sub lime and the beautiful as well as of the true. Indeed, I be lieve that even the intellectual action of a complete man is, consciously or unconsciously, sustained by an under-current of the emotions. It is vain, I think, to attempt to separate moral and emotional nature from intellectual nature. Let a man but observe himself, and he* will, if I mistake not, find that in nine cases out of ten, moral or immoral consid erations, as the case may be, are the motive force which pushes his intellect into action. The reading of the works of two men, neither of them imbued with the spirit of 102 FRAGMENTS OF SCIENCE. modern science, neither of them, indeed, friendly to that spirit, has placed me here to-day. These men are the Eng lish Carlyle and the American Emerson. I must ever re member with gratitude that through three long, cold Ger man winters Carlyle placed me in my tub, even when ice was on its surface, at five o'clock every morning ; not slavishly, but cheerfully, meeting each day's studies with a resolute will, determined whether victor or vanquished not to shrink from difficulty. I never should have gone through Analytical Geometry and the Calculus had it not been for those men. I never should have become a physical inves tigator, and hence without them I should not have been here to-day. They told me what I ought to do in a way that caused me to do it, and all my consequent intellectual action is to be traced to this purely moral source. To Car lyle and Emerson I ought to add Fichte, the greatest rep resentative of pure idealism. These three unscientific men made me a practical scientific worker. They called out, " Act ! " I hearkened to the summons, taking the liberty, however, of determining for myself the direction which effort was to take. And I may now cry, " Act ! " but the potency of action must be yours. I may pull the trigger, but if the gun be not charged there is no result. "NVe arc creators in the intellectual world as little as in the physical. We may remove obstacles, and render latent capacities active, but we cannot suddenly change the nature of man. The " new birth " itself implies the preexistence of the new character which requires not to be created but brought forth. You cannot by any amount of missionary labor suddenly trans form the savage into the civilized Christian. The improve ment of man is secular — not the work of an hour or of a day. But though indubitably bound by our organizations, no man knows what the potentialities of any human mind may be, which require only release to be brought into ac- AN ADDRESS TO STUDENTS. 103 tion. Let me illustrate this point. There are in the min eral world certain crystals, certain forms, for instance, of fluor-spar, which have lain darkly in the earth for ages, but which nevertheless have a potency of light locked up within them. In their case the potential has never become actual— - the light is in fact held back by a molecular detent. When these crystals are warmed, the detent is lifted, and an out flow of light immediately begins. I know not how many of you may be in the condition of this fluor-spar. For aught I know, every one of you may be in this condition, requiring but the proper agent to be applied — the proper word to be spoken — to remove a detent, and to render you conscious of light within yourselves and sources of light to others. The circle of human nature, then, is not complete with out the arc of feeling and emotion. The lilies of the field have a value for us beyond their botanical ones — a certain lightening of the heart accompanies the declaration that,^ " Solomon in all his glory was not arrayed like one of these." The sound of the village bell which comes mellowed from the valley to the traveller upon the hill, has a value beyond its acoustical one. The setting sun when it mantles with the bloom of roses the alpine snows, has a value beyond its optical one. The starry heavens, as you know, had for Im- manuel Kant a value beyond their astronomical one. Round about the intellect sweeps the horizon of emotions from which all our noblest impulses are derived. I think it very desirable to keep this horizon open ; not to permit either priest or philosopher to draw down his shutters between you and it. And here the dead languages, which are sure to be beaten by science in the purely intellectual fight, have an irresistible claim. They supplement the work of science by exalting and refining the aesthetic faculty, and must on this account be cherished by all who desire to see human culture complete. There must be a reason for the fascina tion which these languages have so long exercised upon 104 FRAGMENTS OF SCIENCE. the most powerful and elevated minds — a fascination which will probably continue for men of Greek and Rom£n mould to the end of time. In connection with this question of the emotions one very obvious danger besets many of the more earnest spirits of our day — the danger of haste in endeavoring to give the feelings repose. We are distracted by systems of theology and philosophy which -were taught to us when young, and which now excite in us a hunger and a thirst for knowledge not proved to be attainable. There are periods when the judgment ought to remain in suspense, the data on which a decision might be based being absent. This discipline of suspending the judgment is a common one in science, but not so common as it ought to be elsewhere. I walked down Regent Street some time ago with a man of great gifts and acquirements, discussing with him various theo logical questions. I could not accept his views of the origin and destiny of the universe, nor was I prepared to enun ciate any definite views of my own. He turned to me at length and said, " You surely must have a theory of the universe." That I should in one way or another have solved this mystery of mysteries seemed to my friend a matter of course. " I have not even a theory of magnetism," was my reply. We ought to learn to wait, and pause before closing with the advances of those expounders of the ways of God to men, who offer us intellectual peace at the modest cost of intellectual life. The teachers of the world ought to be its best men, and for the present at all events such men must learn self-trust. They must learn more and more to do without external aid ; save such aid as comes from the contemplation of a uni verse, which, though it baffles the intellect, can elevate the heart. But they must learn to feel the mystery of that universe without attcMnpting to give it a rigid form, per sonal or otherwise. By the fulness and freshness of their AN ADDRESS TO STUDENTS. 1Q5 own lives and utterances they must awaken life in others/ The position of science is already assured, but I think the \ poet also will have a great part to play in the future of the world. To him it is given for a long time to come to fill those shores which the recession of the theologic tide has left exposed ; to him, when he rightly understands his mis sion, and does not flinch from the tonic discipline which it assuredly demands, we have a right to look for that height ening and brightening of life which so many of us need. He ought to be the interpreter of that power which as " Jehovah, Jove, or Lord," has hitherto filled and strengthened the human heart. Let me utter one practical word in conclusion — take care of your health. There have been men who by wise attention to this point might have risen to any eminence — might have made great discoveries, written great poems, commanded armies, or ruled states, but who by unwise neglect of this point have come to nothing. Imagine Her cules as oarsman in a rotten boat ; what can he do there but by the very force of his stroke expedite the ruin of his craft. Take care then of the timbers of your boat, and avoid all practices likely to introduce either wet or dry rot among them. And this is not to be accomplished by desul tory or intermittent efforts of the will, but by the formation of habits. The will no doubt has sometimes to put forth its strength in order to strangle or crush the special tempta tion. But the formation of right habits is essential to your permanent security. They diminish your chance of falling when assailed, and they augment your chance of recovery when overthrown. VI. SCOPE AND LIMIT OF SCIENTIFIC MATERIALISM. AN ADDRESS. DELIVERED IN THE MATHEMATICAL AND PHYSICAL SECTION OF THE BRITISH ASSOCIATION IN NORWICH. August 19, 1868. "As I proceeded I found my philosopher altogether forsaking mind or iinv other principle of order, and having recourse to air and ether, and water, and other eccentricities. I might compare him to a person who bcLran by maintaining generally that mind is the cause of the actions of Socrates, but who, when he endeavored to explain the cause of my several actions in detail, went on to show that I sit here because my body is made up of bones and muscles ; and the bones he would say are hard mid have ligaments which divide them, and the muscles are elastic, and they cover the bones, which have also a covering or environment of flesh and skin which contains them ; and as the bones are lifted at their joints by the contraction or relaxation of the muscles, I am able to bend my limbs, and this is why I am sitting here in a curved posture ; that is what lie would say, and he would have a similar explanation of my talk ing to you, which he would attribute to sound, and air, and hearing, and he would assign ten thousand other causes of the same sort, forgetting to mention the true cause, which is that the Athenians have thought fit to condemn me, and accordingly I have thought it better and more right to remain here and undergo my sentence ; for I am inclined to think that tliese muscles and bones of mine would have gone off to Megara or UnMitia — by the dog of Egypt they would, if they had been guided by their own idea of what was best, and if I had not chosen as the better and nobler part, instead of playing truant and running away, to undergo any punishment which the State inflicts." — PLATO, JowctCs Translation. : VI. SCIENTIFIC MATERIALISM. THE CELEBRATED FiCHTE, in his lectures on the "Vo cation of the Scholar," insisted on a culture which should not be one-sided, but all-sided. The scholar's intellect was to expand spherically and not in a single direction only. In one direction, however, Fichte required that the scholar should apply himself directly to Nature, be come a creator of knowledge, and thus repay by original labors of his own the immense debt he owed to the labors of others. It was these which enabled him to sup plement the knowledge derived from his own researches, so as to render his culture rounded and not one-sided. As regards science Fichte's idea is to some extent illustrated by the constitution and the labors of the British Association. We have a body of men engaged in the pursuit of Natural Knowledge, but variously engaged. While sympathizing with each of its departments, and supplementing his culture by knowledge drawn from all of them, each student among us selects one subject for the exercise of his own original faculty — one line along which he may carry the light of his private intelligence a little way into the darkness by which all knowledge is sur rounded. Thus, the geologist deals with the rocks ; the biologist with the conditions and phenomena of life ; the astronomer with stellar masses and motions ; the mathe matician with the relations of space and number; the \J 110 FRAGMENTS OF SCIENCE. chemist pursues bis atoms, while the physical investigator has his own large field in optical, thermal, electrical, acoustical, and other phenomena. The British Associa tion then, as a whole, faces physical Nature on all sides and pushes knowledge centrifugally outward, the sum of its labors constituting what Fichte might call the sphere of natural knowledge. In the meetings of the Association it is found necessary to resolve this sphere into its component parts, which take concrete form under the respective letters of our Sections. This is the Mathematical and Physical Section. Mathe matics and physics have been long accustomed to coalesce. For, no matter how subtle a natural phenomenon may be, whether we observe it in the region of sense, or follow it into that of imagination, it is in the long-run reducible to mechanical laws. But the mechanical data once guessed or given, mathematics become all-powerful as an instru ment of deduction. The command of geometry over the relations of space, the far-reaching power which organized symbolic reasoning confers, are potent both as means of physical discovery, and of reaping the entire fruits of dis covery. Indeed, without mathematics, expressed or im plied, our knowledge of physical science would be friable in the extreme. Side by side with the mathematical method we have the method of experiment. Here, from a starting-point furnished by his own researches, or those of others, the in vestigator proceeds by combining intuition and verification. He ponders the knowledge he possesses and tries to push it further, he guesses and checks his guess, he conjectures and confirms or explodes his conjecture. These guesses and conjectures are by no means leaps in the dark ; for knowledge once gained casts a faint light beyond its own immediate boundaries. There is no discovery so limited as not to illuminate something beyond itself. The force SCIENTIFIC MATERIALISM. m of intellectual penetration into this penumbral region which surrounds actual knowledge is not, as some seem to think, dependent upon method, but upon the genius of the in vestigator. There is, however, no genius so gifted as not to need control and verification. The profoundest minds know best that Nature's ways are not at all times their ways, and that the brightest flashes in the world of thought are incomplete until they have been proved to have their counterparts in the world of fact. Thus ihe vocation of the true experimentalist may be defined as the continued exercise of spiritual insight, and its inces sant correction and realization. His experiments consti tute a body, of which his purified intuitions are, as it were, the soul. Partly through methematical and partly through ex perimental research, physical science has of late years as sumed a momentous position in the world. Both in a material and in an intellectual point of view it has pro duced, and it is destined to produce, immense changes — vast social ameliorations, and vast alterations in the popu lar conception of the origin, rule, and governance of natural things. By science, in the physical world, miracles are wrought, while philosophy is forsaking its ancient meta physical channels and pursuing others which have been opened or indicated by scientific research. This must be come more and more the case as philosophical writers become more deeply imbued with the methods of science, better acquainted with the facts which scientific men have won, and with the great theories which they have elaborated. If you look at the face of a watch, you see the hour and minute hands, and possibly also a second-hand, moving over the graduated dial. Why do these hands move ? and why are their relative motions such as they are observed to be ? These questions cannot be answered without open- in"" ilio watch, mastering its various parts, and ascertaining 112 FRAGMENTS OF SCIENCE. their relationship to each other. When this is done, we find that the observed motion of the hands follows of ne cessity from the inner mechanism of the watch, when acted upon by the force invested in the spring. The motion of the hands may be called a phenomenon of art, but the case is similar with the phenomena of Nature. These also have their inner mechanism, and their store of force to set that mechanism going. The ultimate problem of physical science is to reveal this mechanism, to discern this store, and to show that from the combined action of both the phenomena of which they constitute the basis must of necessity flow. I thought an attempt to give you even a brief and sketchy illustration of the manner in wrhich scientific think ers regard this problem would not be uninteresting to you on the present occasion ; more especially as it will give me occasion to say a word or two on the tendencies and limits of modern science ; to point out the region which men of science claim as their own, and where it is mere waste of lime to oppose their advance, and also to define, if possible, the bourne between this and that other region to which the questionings and yearnings of the scientific intellect are directed in vain. But here your tolerance will be needed. It was the American Emerson, I think, who said that it is hardly pos sible to state any truth strongly without apparent injustice to some other truth. Truth is often of a dual character, taking the form of a magnet with two poles ; and many of the differences which agitate the thinking part of mankind are to be traced to the exclusiveness with which partisan reasoners dwell upon one-half of the duality in forgetfulness of the other. The proper course appears to be to state both halves strongly, and allow each its fair share in the formation of the resultant conviction. But this waiting for the statement of the two sides of a questM--.! implies pa- SCIENTIFIC MATERIALISM. 113 tience. It implies a resolution to suppress indignation if the statement of the one-half should clash with our convic tions, and to repress equally undue elation if the half-state ment should happen to chime in with our views. It implies a determination to wait calmly for the statement of the whole, before we pronounce judgment in the form of either acquiescence or dissent. This premised, and, I trust, accepted, let us enter upon our task. There have been writers who affirmed that the pyramids of Egypt were the productions of Nature ; and in his early youth Alexander von Humboldt wrote a learned essay with the express object of refuting this notion. We now regard the pyramids as the work of men's hands, aided probably by machinery of which no record remains. We picture to ourselves the swarming workers toiling at those vast erections, lifting the inert stones, and, guided by the volition, the skill, and possibly at times by the whip of the architect, placing them in their proper positions. The blocks in this case were moved and posited by a power external to themselves, and the final form of the pyramid expressed the thought of its human builder. Let us pass from this illustration of constructive power to another of a different kind. When a solution of common salt is slowly evaporated, the water which holds the salt in solution diappears, but the salt itself remains behind. At a certain stage of concentration the salt can no longer retain the liquid form ; its particles, or molecules, as they are called, begin to deposit themselves as minute solids, so minute, indeed, as to defy all microscopic power. As evapo ration continues solidification goes on, and we finally obtain, through the clustering together of innumerable molecules, a finite crystalline mass of a definite form. What is this form ? It sometimes seems a mimicry of the architecture of Egypt. We have little pyramids built by the salt, terrace above terrace from base to apex, forming a series of 114 FRAGMENTS OF SCIENCE. steps resembling those up which the Egyptian traveller is dragged by his guides. The human mind is as little dis posed to look unquestioning at these pyramidal salt-crys tals as to look at the pyramids of Egypt without inquiring whence they came. How, then, are those salt-pyramids built up ? Guided by analogy, you may, if you like, suppose that swarming among the constituent molecules of the salt, there is an invisible population, controlled and coerced by some invisible master, and placing the atomic blocks in their positions. This, however, is not the scientific idea, nor do I think your good sense will accept it as a likely one. The scientific idea is that the molecules act upon each other without the intervention of slave labor ; that they attract each other and repel each other at certain definite 1 mints, or poles, and in certain definite directions ; and that the pyramidal form is the result of this play of attraction and repulsion. While, then, the blocks of Egypt were laid down by a power external to themselves, these molecular blocks of salt are self-posited, being fixed in their places by the forces with wThich they act upon each other. I take common salt as an illustration because it is so familiar to us all ; but any other crystalline substance would answer my purpose equally well. Everywhere, in fact, throughout inorganic Nature, we have this formative power, as Fichte would call it — this structural energy ready to come into play, and build the ultimate particles of matter into definite shapes. The ice of our winters and of our polar regions is its handywork, and so equally are the quartz, felspar, and mica of our rocks. \ Our chalk-beds are for the most part composed of minute shells, which are also the product of structural energy ; but, behind the shell, as a whole, lies a more remote and subtle formative act. These shells are built up of little crystals of calc-spar, and to form these crystals the structural force had to deal with the SCIENTIFIC MATERIALISM. 115 intangible molecules of carbonate of lime. This tendency on the part of matter to organize itself, to grow into shape, to assume definite forms in obedience to the definite action of force, is, as I have said, all-pervading. It is in the ground on which you tread, in the water you drink, in the air you breathe. Incipient life, as it were, manifests itself throughout the whole of what we call inorganic Nature. The forms of the minerals resulting from this play of polar forces are various, and exhibit different degrees of complexity. Men of science avail themselves of all possible means of exploring their molecular architecture. For this purpose they employ in turn as agents of exploration, light, heat, magnetism, electricity, and sound. Polarized light is especially useful and powerful here. A beam of such light, when sent in among the molecules of a crystal, is acted on by them, and from this action we infer with more or less of clearness the manner in which the molecules are arranged. That differences, for example, exist between the inner structure of rock-salt and crystallized sugar or sugar-candy, is thus strikingly revealed. These actions often display themselves in chromatic phenomena of great splendor, the play of molecular force being so regulated as to remove some of the colored constituents of white light, and to leave others with increased intensity behind. And now let us pass from what we are accustomed to regard as a dead mineral to a living grain of corn. When it is examined by polarized light, chromatic phenomena similar to those noticed in crystals are observed. And why ? Because the architecture of the grain resembles the architecture of the crystal. In .the grain also the molecules are set in definite positions, and in accordance with their arrangement they act upon the light. But what has built together the molecules of the corn ? I have already said regarding crystalline architecture that you may, if you please, consider the atoms and molecules to be placed in 116 FRAGMENTS OF SCIENCE. position by a power external to themselves. The same hypothesis is open to you now. But if in the case of crys tals you have rejected this notion of an external architect, I think you are bound to reject it now, and to conclude that the molecules of the corn are self-posited by the forces with which they act upon each other. It would be poor philosophy to invoke an external agent in the one case and to reject it in the other. Instead of cutting our grain of corn into slices and sub jecting it to the action of polarized light, let us place it in the earth and subject it to a certain degree of warmth. In other words, let the molecules, both of the corn and of the surrounding earth, be kept in that state of agitation which we call warmth. Under these circumstances, the grain and the substances which surround it interact, and a definite molecular architecture is the result. A bud is formed ; this bud rqaches the surface, where it is exposed to the sun's rays, which are also to be regarded as a kind of vibratory motion. And as the motion of common heat with \vhich the grain and the substances surrounding it were first endowed, enabled the grain and these substances to exer cise their attractions and repulsions, and thus to coalesce in definite forms, so the specific motion of the sun's rays now enables the green bud to feed upon the carbonic acid and the aqueous vapor of the air. The bud appropriates those constituents of both for which it has an elective attraction, and permits the other constituent to resume its place in the air. Thus the architecture is carried on. Forces are active at the root, forces are active in the blade, the matter of the earth and the matter of the atmosphere are drawTi toward the root and blade, and the plant aug ments in size. We have in succession the bud, the stalk, the ear, the full corn in the ear; the cycle of molecular action being completed by the production of grains similar to that with which the process began. SCIENTIFIC MATERIALISM. 117 Now there is nothing in this process which necessarily eludes the conceptive or imagining power of the purely human mind. An intellect the same in kind as our own would, if only sufficiently expanded, be able to follow the whole process from beginning to end. It would sec every molecule placed in its position by the specific attractions and repulsions exerted between it and other molecules, the whole process and its consummation being an instance of the play of molecular force. Given the grain and its envi ronment, the purely human intellect might, if sufficiently expanded, trace out a priori every step of the process of growth, and by the application of purely mechanical prin ciples demonstrate that the cycle must end, as it is seen to end, in the reproduction of forms like that with which it began. A similar necessity rules here to that which rules the planets in their circuits round the sun. You will notice that I am stating my truth strongly, as at the beginning we agreed it should be stated. But I must go still further, and affirm that in the eye of science the animal body is just as much the product of molecular force as the stalk and ear of corn, or as the crystal of salt or sugar. Many of the parts of the body are obviously mechanical. Take the human heart, for example, with its system of valves, or take the exquisite mechanism of the eye or hand. Animal heat, moreover, is the same in kind as the heat of a fire, being produced by the same chemical process. Animal motion, too, is as directly derived from the food of the animal, as the motion of Trevethyck's walk ing-engine from the fuel in its furnace. As regards matter, the animal body creates nothing ; as regards force, it creates nothing. Which of you by taking thought can add one cubit to his stature ? All that has been said, then, regard ing the plant may be restated with regard to the animal. Every particle that enters into the composition of a muscle, a nerve, or a bone, has been placed in its position by mo- 118 FRAGMENTS OF SCIENCE. lecular force. And unless the existence of law in these matters be denied, and the element of caprice introduced, we must conclude that, given the relation of any molecule of the body to its environment, its position in the body might be determined mathematically. Our difficulty is not with the quality of the problem, but with its complexity • and this difficulty might be met by the simple expansion of the faculties which we now possess. Given this expan sion, with the necessary molecular data, and the chick might be deduced as rigorously and as logically from the egg as the existence of Neptune from the disturbances of Uranus, or as conical refraction from the undulatory theory L of light. You see I am not mincing matters, but avowing nakedly what many scientific thinkers more or less distinctly be lieve. The formation of a crystal, a plant, or an animal, is in their eyes a purely mechanical problem, which differs from the problems of ordinary mechanics in the smallness of the masses and the complexity of the processes involved. Here you have one half of our dual truth ; let us now glance ut the other half. Associated with this wonderful mechan ism of the animal body we have phenomena no less certain than those of physics, but between which and the mechan ism we discern no necessary connection. A man, for ex ample, can say, I feel, I think, I love ; but how does consciousness infuse itself into the problem ? The human brain is said to be the organ of thought and feeling j when we are hurt the brain feels it, when we ponder it is the brain tluit thinks, when our passions or affections are ex cited it is through the instrumentality of the brain. Let us endeavor to be a little more precise here. I hardly imagine there exists a profound scientific thinker, who has reflected I upon the subject, unwilling to admit the extreme proba bility of the hypothesis that, for every fact of consciousness, whether in the domain of sense, of thought, or of emotion, SCIENTIFIC MATERIALISM. 119 a definite molecular condition of motion or structure is set up in the brain ; or who would be disposed even to deny that if the motion or structure be induced by internal causes instead of external, the effect on consciousness will be the same ? Let any nerve, for example, be thrown by morbid action into the precise state of motion which would be communicated to it by the pulses of a heated body, surely that nerve will declare itself hot — the mind will accept the subjective intimation exactly as if it were ob jective. The retina may be excited by purely mechanical means. A blow on the eye causes a luminous flash, and the mere pressure of the finger on the external ball pro duces a star of light, which Newton compared to the circles on a peacock's tail. Disease makes people see visions and dream dreams ; but, in all such cases, could we examine the organs implicated, we should, on philosophical grounds, expect to find them in that precise molecular condition which the real objects, if present, would superinduce. The relation of physics to consciousness being thus invariable, it follows that, given the state of the brain, the corresponding thought or feeling might be inferred; or given the thought or feeling, the corresponding state of the brain might be inferred. But how inferred ? It would be at bottom not a case of logical inference at all, but of empirical association. You may reply that many of the inferences of science are of this character ; the inference, for example, that an electric current of a given direction will deflect a magnetic needle in a definite way ; but the cases differ in this, that the passage from the current to the needle, if not demonstrable, is thinkable, and that we enter tain no doubt as to the final mechanical solution of the problem. But the passage from the physics of the brain to the corresponding facts of consciousness is unthinkable. Granted that a definite thought, and a definite molecular 7 action in the brain occur simultaneously ; we do not possess 120 FRAGMENTS OF SCIEXCE. the intellectual organ, nor apparently any rudiment of the organ, which would enable us to pass, by a process of rea soning, from the one to the other. They appear together, but we do not know why. Were our minds and senses so expanded, strengthened, and illuminated as to enable us to see and feel the very molecules of the brain ; were we capable of following all their motions, all their groupings, all their electric discharges, if such there be ; and were we intimately acquainted with the corresponding states of thought and feeling, we should be as far as ever from the solution of the problem, " How are these physical processes connected jwith the facts of consciousness ? " The chasm between the two classes of phenomena would still remain intellectually impassable. Let the consciousness of love, for example, be associated with a right-handed spiral motion of the molecules of the brain, and the consciousness of hate with a left-handed spiral motion. We should then know when we love that the motion is in one direction, and when we hate that the motion is in the other ; but the " WHY ? " would remain as unanswerable as before. ' In affirming that the growth of the body is mechanical, find that thought, as exercised by us, has its correlative in the physics of the brain, I think the position of the " Ma terialist" is stated, as far as that position is a tenable one. I think the materialist will be able finally to main tain this position against all attacks ; but I do not think, in the present condition of the human mind, that he can pass beyond this position. I do not think he is entitled to say that his molecular groupings and his molecular motions erplain every thing. In reality, they explain nothing. The utmost he can affirm is the association of two classes of phenomena, of whose real bond of union he is in absolute ignorance. The problem of the con nection of body and soul is as insoluble in its modern form as it was in the prescientific ages. Phosphorus is SCIENTIFIC MATERIALISM. 121 known to enter into the composition of the human brain, and a trenchant German writer has exclaimed, --^-Qhne Phe^phoiykeitt-XS^daiike-." That may or may not be the case ; but even if we knew it to be the case, the knowledge would not lighten our darkness. On both sides of the zone here assigned to the materialist he is equally helpless. If you ask him whence is this " Matter " of which we have been discoursing, who or what divided it into molecules, who or what impressed upon them this necessity of running into organic forms, he has no answer. Science is mute in reply to these questions. But if the materialist is con founded and science rendered dumb, who else is prepared . with a solution ? To whom has this arm of the Lord been ^ revealed ? Let us lower our heads and acknowledge our ignorance, priest and philosopher, one and all. Perhaps the mystery may resolve itself into knowledge tit some future day. The process of things upon this earth has been one of amelioration. It is a long way from the Iguanodon and his contemporaries to the President and members of the British Association. And whether we re gard the improvement from the scientific or from the theo logical point of view, as the result of progressive develop ment, or as the result of successive exhibitions of creative energy, neither view entitles us to assume that man's present faculties end the series — that the process of amelioration stops at him. A time may therefore come wrhen this ultra- scientific region by which we are now enfolded may offer it self to terrestrial, if not to human investigation. Two-thirds of the rays emitted by the sun fail to arouse in the eye the sense of vision. The rays exist, but the visual organ requi site for their translation into light does not exist. And so from this region of darkness and mystery which surrounds us, rays may now be darting which require but the develop ment of the proper intellectual organs to translate them into knowledge as far surpassing ours as ours surpasses G 122 FRAGMENTS OF SCIENCE. that of the wallowing reptiles which once held possession gf this planet. Meanwhile the mystery is not without its uses. It certainly may be made a power in the human soul ; but it is a power which has feeling, not knowledge, for its base. It may be, and will be, and I hope is, turned to account, both in studying and strengthening the intellect, and in rescuing man from that littleness to which, in the struggle for existence, or for precedence in the world, he is continually prone. Musings on the Matterhorn,. Jidy 27, 1868. " HACKED and hurt by time, the aspect of the mountain from its higher crags saddened me. Hitherto the impression it made was that of savage strength ; here we had inexorable decay. But this notion of decay implied a reference to a period when the Matterhorn was in the full strength of mountainhood. Thought naturally ran back to its remoter origin and sculpture. Nor did thought halt there, but wandered on through molten worlds to that nebulous haze which philosophers have regarded, and with good reason, as the proximate source of all material things. I tried to look at this universal cloud, containing within itself the prediction of all that has since occurred ; I tried to imagine it as the seat of those forces whose action was to issue in solar and stellar systems, and all that they involve. Did that formless fog contain potentially the sadness with which I regarded the Matterhorn ? Did the thougM which now ran back to it simply return to its primeval home ? If so, had we not better recast our definitions of matter and force ; for if life and thought be the very flower of both, any definition which omits life and thought must be inadequate, if not untrue. Are questions like these warranted ? Why not ? If the final goal of man has not been yet attained ; if his development has not been yet arrested, who can say that such yearnings and questionings are not necessary to the opening of a finer vision, to the budding and the growth of diviner powers ? When I look at the heavens and the earth, at my own body, at my strength and weakness of mind, even at these ponderings, and ask myself, is there no being or thing in the universe that knows more about these matters than I do ; what is my answer ? Supposing our theologic schemes of crea tion, condemnation, and redemption, to be dissipated ; and the warmth of denial which they excite, and which, as a motive force, can match the warmth of affirmation dissipated at the same time ; would the undeflected human mind return to the meridian of absolute neutrality as regards these ultra-physical questions ? Is such a position one of stable equilibrium ? The channels of thought being already formed, such are the questions without replies, which could run athwart consciousness during a ten- minutes, halt upon the weathered point of the Matterhorn." VII. ON THE SCIENTIFIC USE OF THE IMAGINATION, A DISCOURSE. DELIVERED BEFOEE THE BEITISII ASSOCIATION AT LITEEPOOL. September 16, 1870. If thou wouldst know the mystic song Chanted when the sphere was young, Aloft, abroad, the paean swells, () wise man, hear'st thou half it tells ? To the open ear it sings The early genesis of things ; Of tendency through endless ages Of star-dust and star-pilgrimages, Of rounded worlds, of space and tune, Of the old floods' subsiding slime, Of chemic matter, force and form, Of poles and powers, cold, wet, and warm. The rushing metamorphosis Dissolving all that fixture is, Melts things that be to things that seem, And solid Nature to a dream." EMERSON. " Was war' ein Gott dcr nur von aussen sticssc Im Kreis das All am Finger laufeu liesse ! Him ziemt's, die Welt im Innern zu bewegen, Natur in Sicb, Sich in Natur zu hegen." GOETHE. SCIENTIFIC USE OF THE IMAGINATION. " Lastly, physical investigation more than any thing besides liclps to teach us tJie actual value and rigid use of the Imagination — of that wondrous faculty, which, left to ramble uncontrolled, leads us astray into a wilderness of perplexities and errors, a land of mists and shadows ; but which properly con trolled by experience and reflection, becomes the noblest attribute of man : the source of poetic genius, the instrument of discovery in Science, without the aid of which Neicton would never have invented fluxions, nor Davy have decom posed the earths and alkalies, nor would Columbus have found another Con tinent.1'1 — Address to the Royal Society by its President, Sir Benjamin Brodie, November 30, 1859. I CARRIED with me to the Alps this year the heavy burden of this evening's work. In the way of new inves tigation I had nothing complete enough to be brought before you ; so all that remained to me was to fall back upon such residues as I could find in the depths of con sciousness, and out of them to spin the fibre and weave the wreb of this discourse. Save from memory I had no direct aid upon the mountains ; but to spur up the emotions, on which so much depends, as well as to nourish indirectly the intellect and will, I took with me two volumes of poetry, Goethe's " Farbenlehre," and the work on " Logic " recently published by Mr. Alexander Bain.1 The spur, I am sorry to say, was no match for the integument of dulness it had 1 One of my critics remarks, that he does not see the wit of calling Goethe's " Farbenlehre" and Bain's " Logic," " two volumes of poetry." Nor do I. 128 FKAGMEXTS OF SCIENCE. to pierce. In Goethe, so glorious otherwise, I chiefly noticed the self-inflicted hurts of genius, as it broke itself in vain against the philosophy of Newton. For a time, Mr. Bain became my principal companion. I found him learned and practical, shining generally with a dry light, but exhibiting at times a flush of emotional strength, which proved that even logicians share the common fire of hu manity. He interested me most when he became the mirror of my own condition. Neither intellectually nor socially is it good for man to be alone, and the griefs of thought are more patiently borne when we find that they have been experienced by another. From certain passages in his book I could infer that Mr. Bain was no stranger to such sorrows. Take this passage as an illustration. Speak ing of the ebb of intellectual force, which we all from time to time experience, Mr. Bain says, " The uncertainty where to look for the next opening of discovery brings the pain of conflict and the debility of indecision." These words have in them the true ring of personal experience. The action of the investigator is periodic. He grapples with a subject of inquiry, wrestles with it, overcomes it, exhausts, it may be, both himself and it for the time being. He breathes a space, and then renews the struggle in another field. Now this period of halting between two investigations is not always one of pure repose. It is often a period of doubt and discomfort, of gloom and ennui. "The uncertainly where to look for the next opening of discovery brings the pain of conflict and the debility of indecision." Such was my precise condition in the Alps this year ; in a score of words Mr. Bain has here sketched my mental diagnosis ; and it wras under these evil circumstances that I had to equip myself for the hour and the ordeal that are now come. Gladly, however, as I should have seen this duly in other hands, I could by no means shrink from it. Uisluy- SCIENTIFIC USE OF THE IMAGINATION. 129 alty would have been worse than failure. In some fashion or other — feebly or strongly, meanly or manfully, on the higher levels of thought, or on the flats of commonplace — the task had to be accomplished. I looked in various direc tions for help and furtherance ; but without me for a time I saw only " antres vast," and within me "deserts idle." case resembled that of a sick doctor who had forgotten his art and sorely needed the prescription of a friend. Mr. Bain wrote one for me. He said, " Your present knowl edge must forge the links of connection between what has been already achieved and what is now required." ] In these words he admonished me to review the past and re cover from it the broken ends of former investigations. I tried to do so. Previous to going to Switzerland I had been thinking much of light and heat, of magnetism and electricity, of organic germs, atoms, molecules, spontaneous generation, comets, and skies. With one or another of these I now sought to reform an alliance, and finally suc ceeded in establishing a kind of cohesion between Thought and Light. The wish grew within me to trace, and to en able you to trace, some of the more occult operations of this agent. I wished, if possible, to take you behind the drop-scene of the senses, and to show you the hidden mech anism of optical action. For I take it to be well worth the while of the scientific teacher to take some pains, and even great pains, to make those whom he addresses copart ners of his thoughts. To clear his own mind in the first place of all haze and vagueness, and then to project into lan guage which shall leave no mistake as to his meaning — which shall leave even his errors naked — the definite ideas he has shaped. A great deal is, I think, possible to scien tific exposition conducted in this way. It is possible, I believe, even before an audience like the present, to un cover to some extent the unseen things of Nature; and 1 Induction, p. 422. 130 FRAGMENTS OF SCIENCE. thus to give not only to professed students, but to others with the necessary bias, industry, and capacity, an intelli gent interest in the operations of science. Time and labor are necessary to this result, but science is the gainer from the public sympathy thus created. How, then, are those hidden things to be revealed ? How, for example, are we to lay hold of the physical basis of light, since, like that of life itself, it lies entirely without the domain of the senses ? Philosophers may be right in affirming that we cannot transcend experience ; but we can at all events carry it a long way from its origin. We can also magnify, diminish, qualify, and combine experiences, so as to render them fit for purposes entirely new. We are gifted with the power of imagination — combining what the Ger mans call Anschauungsgabe and Einbildungskraft — and by this power we can lighten the darkness which surrounds the world of the senses. There are tories even in science who regard imagination as a faculty to be feared and avoided rather than employed. They had observed its action in weak vessels, and were unduly impressed by its disasters. But they might with equal justice point to exploded boil ers as an argument against the use of steam. Bounded and conditioned by cooperant Reason, imagination becomes the mightiest instrument of the physical discoverer. Newton's passage from a falling apple to a falling moon was, at the outset, a leap of the imagination. When William Thom son tries to place the ultimate particles of matter between his compass-points, and to apply to them a scale of milli metres, he is powerfully aided by this faculty. And in much that has been recently said about protoplasm and life, we have the outgoings of the imagination guided and controlled by the known analogies of science. In fact, without this power, our knowledge of Nature would be a mere tabulation of coexistences and sequences. We should still believe in the succession of day and night, of summer SCIENTIFIC USE OF THE IMAGINATION. 131 and winter ; but the soul of Force would be dislodged from our universe ; causal relations would disappear, and with them that science which is now binding the parts of Nature to an organic whole. / I should like to illustrate by a few simple instances the use that scientific men have already made of this power of imagination, and to indicate afterward some of the further uses that they are likely to make of it. Let us begin with the rudimentary experiences. Observe the falling of heavy rain-drops into a tranquil pond. Each drop as it strikes the water becomes a centre of disturbance, from which a series of ring-ripples expand outwards. Gravity and inertia are the agents by which this wave-motion is produced, and a rough experiment will suffice to show that the rate of propagation does not amount to a foot a second. A series of slight mechanical shocks is experienced by a body plunged in the water as the wavelets reach it in succes sion. But a finer motion is at the same time set up and propagated. If the head and ears be immersed in the wa ter, as in an experiment of Franklin's, the shock of the drop is communicated to the auditory nerve — the tick of the drop is heard. Now this sonorous impulse is propa gated, not at the rate of a foot a second, but at the rate of forty-seven hundred feet a second. In this case it is not the gravity, but the elasticity of the water that is the ur ging force. Every liquid particle pushed against its neigh bor delivers up its motion with extreme rapidity, and the pulse is propagated as a thrill. The incompressibility of water, as illustrated by the famous Florentine experiment, is a measure of its elasticity, and to the possession of this property in so high a degree the rapid transmission of a sound-pulse through water is to be ascribed. But water, as youiknow, is not necessary to the conduc tion of sound ; air is its most common vehicle. And you know that when the air possesses the particular density 132 FRAGMENTS OF SCIENCE. and elasticity corresponding to the temperature of freezing water the velocity of sound in it is ten hundred and ninety feet a second. It is almost exactly one-fourth of the ve locity in water ; the reason being that though the greater weight of the water tends to diminish the velocity, the enormous molecular elasticity of the liquid far more than atones for the disadvantage due to weight. By various contrivances we can compel the vibrations of the air to declare themselves ; we know the length and frequency of sonorous waves, and we have also obtained great mastery over the various methods by which the air is thrown into vibration. We know the phenomena and laws of vibrating rods, of organ-pipes, strings, membranes, plates, and bells. We can abolish one sound by another. We know the physical meaning of music and noise, of harmony and dis cord. In short, as regards sounds we have a very clear notion of the external physical processes which corre spond to our sensations. In these phenomena of sound we travel a very little way from downright sensible experience. Still the imagi nation is to some extent exercised. The bodily eye, for example, cannot see the condensations and rarefactions of the waves of sound. We construct them in thought, and we believe as firmly in their existence as in that of the air itself. But now our experience has to be carried into a newr region, where a new use is to be made of it. Having mastered the cause and mechanism of sound, we desire to know the cause and mechanism of light. We wish to ex tend our inquiries from the auditory nerve to the optic nerve. There is in the human intellect a power of expansion-i— I might almost call it a power of creation-p-which is brought into play by the simple brooding upon facts. The legend of the Spirit brooding over chaos may have originated in a knowledge of this power. In the case now before us it has manifested itself by transplanting into space, for the pur- SCIENTIFIC USE OF THE IMAGINATION. 133 poses of light, an adequately modified form of the mechan ism of sound. We know intimately whereon the velocity of sound depends. When we lessen the density of a medium and preserve its elasticity constant we augment the velocity. When we heighten the elasticity and keep the density con stant we also augment the velocity. A small density, therefore, and a great elasticity, are the two things neces sary to rapid propagation. Now light is known to move with the astounding velocity of 185,000 miles a second. How is such a velocity to be obtained? By boldly dif fusing in space a medium of the requisite tenuity and elasticity. Let us make such a medium our starting-point, endow ing it with one or two other necessary qualities ; let us handle it in accordance with strict mechanical lawrs ; let us give to every step of our deduction the surety of the syl logism ; let us carry it thus forth from the world of imagi nation into the world of sense, and see whether the final outcrop of the deduction be not the very phenomena of light which ordinary knowledge and skilled experiment re veal. If in all the multiplied varieties of these phenomena, including those of the most remote and entangled descrip tion, this fundamental conception always brings us face to face with the truth ; if no contradiction to our deductions from it be found in external Nature, but on all sides agree ment and verification ; if, moreover, as in the case of Coni cal Refraction and in other cases, it has actually forced upon our attention phenomena which no eye had previously seen, and which no mind had previously imagined, such a conception, which never disappoints us, but always lands us on the solid shores of fact, must, we think, be something more than a mere figment of the scientific fancy. In form ing it that composite and creative unity in which reason and imagination are together blent, has, we believe, led us into a world not less real than that of the senses, and of 1.14 FRAGMENTS OF SCIENCE. which the world of sense itself is the suggestion and justi fication. Fur be it from me, however, to wish to fix you immov ably in this or in any other theoretic conception. With all our belief of it, it will be well to keep the theory plastic and capable of change. You may, moreover, urge that although the phenomena occur as if the medium existed, the absolute demonstration of its existence is still wanting. Far be it from me to deny to this reasoning such validity as it may fairly claim. Let us endeavor by means of anal ogy to form a fair estimate of its force. You believe that in society you are surrounded by reasonable beings like yourself. You are perhaps as firmly convinced of this as of any thing. What is your warrant for this conviction ? Simply and solely this, your fellow-creatures behave as if they were reasonable ; the hypothesis, for it is nothing more, accounts for the facts. To take an eminent example : you believe that our President is a reasonable being. Why ? There is no known method of superposition by wThich any one of us can apply himself intellectually to another so as to demonstrate coincidence as regards the possession of reason. If, therefore, you hold our President to be reason able, it is because he behaves as if he were reasonable. As in the case of the ether, beyond the " as if" you cannot go. Nay I should not wonder if a close comparison of the data on which both inferences rest, caused many respectable persons to conclude that the ether had the best of it, This universal medium, this light-ether as it is called, is a vehicle, not an origin of wave-motion. It receives and transmits, but it does not create. Whence does it dnive the motions it conveys ? For the most part from luminous bodies. By this motion of a luminous body I do not moan its sensible motion, such as the flicker of a candle, or the shooting out of red prominences from the limb of the sun. I mean an intestine motion of the atoms or molecules of SCIENTIFIC USE OF THE IMAGINATION. 135 the luminous body. But here a certain reserve is necessary. Many chemists of the present day refuse to speak of atoms and molecules as real things. Their caution leads them to stop short of the clear, sharp, mechanically intelligible atomic theory enunciated by Dalton, or any form of that theory, and to make the doctrine of multiple proportions their intellectual bourne. I respect the caution, though I think it is here misplaced. The chemists who recoil from these notions of atoms and molecules accept without hesita tion the Undulatory Theory of Light. Like you and me, they one and all believe in an ether and its light-producing waves. Let us consider what this belief involves. Bring your imaginations once more into play and figure a series of sound-waves passing through air. Follow them up to their origin, and what do you there find ? A definite, tan gible, vibrating body. It may be the vocal chords of a human being, it may be an organ-pipe, or it may be a stretched string. Follow in the same manner a train of ether-waves to their source ; remembering at the same time that your ether is matter, dense, elastic, and capable of motions subject to and determined by mechanical laws. What then do you expect to find as the source of a series of ether-waves ? Ask your imagination if it will accept a vibrating multiple proportion — a numerical ratio in a state of oscillation ? I do not think it will. You cannot crown the edifice by this abstraction. The scientific imagination, which is here authoritative, demands as the origin and cause of a series of ether-waves a particle of vibrating matter quite as definite, though it may be excessively minute, as that which gives origin to a musical sound. Such a particle we name an atom or a molecule. I think the seeking intel lect when focussed so as to give definition without penum- bral haze, is sure to realize this image at the last. With a view of preserving thought continuous through out this discourse, and of preventing either failure of knowl- 136 FRAGMENTS OF SCIENCE. edge or of memory from causing any rent in our picture, I here propose to run rapidly over a bit of ground which is probably familiar to most of you, but which I am anxious to make familiar to you all. The waves generated in the ether by the swinging atoms of luminous bodies are of different lengths and amplitudes. The amplitude is the width of swing of the individual particles of the wave. In water- waves it is the height of the crest above the trough, while the length of the wave is the distance between two con secutive crests. The aggregate of waves emitted by the sun may be broadly divided into two classes : the one class com petent, the other incompetent, to excite vision. But the light-producing waves differ markedly among themselves in size, form, and force. The length of the largest of these waves is about twice that of the smallest, but the amplitude of the largest is probably a hundred times that of the smallest. Now the force or energy of the wave, which, ex pressed with reference to sensation, means the intensity of the light, is proportional to the square of the amplitude. Hence the amplitude being one-hundred-fold, the energy of the largest light-giving waves would be ten-thousand-fold that of the smallest. This is not improbable. I use these figures not with a view to numerical accuracy, but to give you definite ideas of the differences that probably exist among the light-giving waves. And if we take the whole range of solar radiation into account — its non-visual as well as its visual waves — I think it probable that the force or eo<5rgy of the largest wave is a million times that of the smallest. Turned into their equivalents of sensation, the different light-waves produce different colors. Red, for example, is roduced by the largest waves, violet by the smallest, while green is produced by a wave of intermediate length and amplitude. On entering from air into more highly refract ing substances, such as glass or water, or the sulphide of SCIENTIFIC USE OF THE IMAGINATION. 137 carbon, all the waves are retarded, but the smallest ones most. This furnishes a means of separating the different classes of waves from each other ; in other words, of ana lyzing the light. Sent through a refracting prism, the waves of the sun are turned aside in different degrees from their direct course, the red least, the violet most. They are vir tually pulled asunder, and they paint upon a white screen placed to receive them " the solar spectrum." Strictly speaking, the spectrum embraces an infinity of colors, but the limits of language and of our powers of distinction cause it to be divided into seven segments :'\ red, orange, yellow, green, blue, indigo, violet. These are the seven primary or prismatic colors. Separately, or mixed in various proportions, the solar waves yield all the colors observed in nature and employed in art. Collectively, they give us the impression of white ness. Pure unsifted solar light is white ; and if all the wave-constituents of such light be reduced in the same pro portion the light, though diminished in intensity, will still be white. The whiteness of Alpine snow with the sun shining upon it, is barely tolerable to the eye. The same snow under an overcast firmament is still white. Such a firmament enfeebles the light by reflection, and when we lift ourselves above a cloud-field — to an Alpine summit, for in stance, or to the top of Snowdon — and see, in the proper direction, the sun shining on the clouds, they appear daz- zlingly white. Ordinary clouds, in fact, divide the solar light impinging on them into two parts — a reflected part and a transmitted part, in each of which the proportions of wave-motion which produce the impression of whiteness are sensibly preserved. It will be understood that the conditions of whiteness would fail if all the waves were diminished equally r, or by the same absolute quantity. They must be reduced pro portionately, instead of equally. If by the act of reflection 138 FRAGMENTS OF SCIENCE. the waves of red light are split into exact halves, then, to preserve the light white, the waves of yellow, orange, green, and blue must also be split into exact halves. In short, the reduction must take place, not by absolutely equal quanti ties, but by equal fractional parts. In white light the pre ponderance as regards energy of the latter over the smaller waves must always be immense. Were the case otherwise, the physiological correlative, blue, of the smaller waves would have the upper hand in our sensations. My wish to render our mental images complete, causes me to dwell briefly upon these known points, and the same wish will cause me to linger a little longer among others. But here I am disturbed by my reflections. When /I consider the effect of dinner upon the nervous system, and the relation of that system to the intellectual powers I am now invoking — when I remember that the universal expe rience of mankind has fixed upon certain definite elements of perfection in an after-dinner speech, and when I think how conspicuous by their absence these elements are on the present occasion, the thought is not comforting to a man who wishes to stand well with his fellow-creatures in gen eral, and with the members of the British Association in particular. My condition might well resemble that of the ether, which is scientifically defined as an assemblage of vibrations. And the worst of it is, that unless you reverse the general verdict regarding the effect of dinner, and prove in your own persons that a uniform experience need not con tinue uniform — which will be a great point gained for some people — these tremors of mine are likely to become more and more painful. But I call to mind the comforting words of an inspired though uncanonical writer, who admonishes us in the Apocrypha that fear is a bad counsellor. Let me then cast him out, and let me trustfully assume that you will one and all postpone that balmy sleep, of which dinner might under the circumstances be regarded as the indis- SCIENTIFIC USE OF THE IMAGINATION. 139 soluble antecedent, and that you will manfully and woman- fully prolong your investigations of the ether and its waves into regions which have been hitherto crossed by the pioneers of science alone. Not only are the waves of ether reflected by clouds, by solids, and by liquids, but when they pass from light air to dense, or from dense air to light, a portion of the wave- motion is always reflected. Now our atmosphere changes continually in density from top to bottom. It will help our conceptions if we regard it as made up of a series of thin concentric layers, or shells of air, each shell being of the same density throughout, and a small and sudden change of density occurring in passing from shell to shell. Light would be reflected at the limiting surfaces of all these shells, and their action would be practically the same as that of the real atmosphere. And now I would ask your imagination to picture this act of reflection. What must become of the reflected light ? The atmospheric layers turn their convex surfaces toward the sun ; they are so many convex mirrors of feeble power, and you will immediately perceive that the light regularly reflected from these surfaces cannot reach the earth at all, but is dispersed in space. But though the sun's light is not reflected in this fashion from the aerial layers to the earth, there is indubitable evi dence to show that the light of our firmament is reflected light. Proofs of the most cogent description could be here adduced ; but we need only consider that we receive light at the same time from all parts of the hemisphere of heav en. The light of the firmament comes to us across the di rection of the solar rays, *uid even against the direction of the solar rays ; and this lateral and opposing rush of wave- motion can only be due to the rebound of the waves from the air itself, or from something suspended in the air. It is also evident that, unlike the action of clouds, the solar light is not reflected by the sky in the proportions which produce 140 FRAGMENTS OF SCIENCE. white. The sky is blue, which indicates a deficiency on part of the larger waves. In accounting for the color of the sky, the first question suggested by the analogy would undoubt edly be, Is not the air blue ? The blueness of the air has in fact been given as a solution of the blueness of the sky. But reason, basing itself on observation, asks in reply, How, if the air be blue, can the light of sunrise and sunset, which travels through vast distances of air, be yellow, orange, or even red ? The passage of white solar light through a blue medium could by no possibility redden the light. The hy pothesis of a blue air is therefore untenable. In fact, the agent, whatever it is, which sends us the light of the sky, exercises in so doing a dichroitic action. The light reflected is blue, the light transmitted is orange or red. A marked distinction is thus exhibited between the matter of the sky and that of an ordinary cloud, which exercises no such di chroitic action. By the force of imagination and reason combined we may penetrate this mystery also. The cloud takes no note of size on the part of the waves of ether, but reflects them all alike. It exercises no selective action. Now, the cause of this may be that the cloud-particles are so large in com parison with the size of the waves of ether as to reflect them all indifferently. A broad cliff reflects an Atlantic roller as easily as a ripple produced by a sea-bird's wing ; and in the presence of large reflecting surfaces, the existing differences of magnitude among the waves of ether may disappear. But supposing the reflecting particles, instead of being very large, to be very small, in comparison with the size of the waves. In this case, instead of the wrhole wave being fronted and in great part thrown back, a small portion only is shivered off. The great mass of the wave passes over such a particle without reflection. Scatter, then, a handful of such minute foreign particles in our atmosphere, and set imagination to watch their action upon the solar waves. SCIENTIFIC USE OF THE IMAGINATION. 141 Waves of all sizes impinge upon the particles, and you see at every collision a portion of the impinging wave struck off. All the waves of the spectrum, from the extreme red to the extreme violet, are thus acted upon. But in what proportions will the waves be scattered ? A clear picture will enable us to anticipate the experimental answer. Re membering that the red waves are to the blue much in the relation of billows to ripples, let us consider whether those extremely small particles are competent to scatter all the waves in the same proportion. If they be not — and a little reflection will make it clear to you that they are not — the production of color must be an incident of the scattering. Largeness is a thing of relation ; and the smaller the wave, the greater is the relative size of any particle on which the wave impinges, and the greater also the ratio of the scat tered portion to the total wave. A pebble placed in the way of the ring-ripples produced by our heavy rain-drops on a tranquil pond will throw back a large fraction of the ripple incident upon it, while the fractional part of a larger wave thrown back by the same pebble might be infinitesi mal. Now we have already made it clear to our minds that to preserve the solar light white, its constituent pro portions must not be altered ; but in the act of division performed by these very small particles we see that the proportions are altered ; an undue fraction of the smaller waves is scattered by the particles, and, as a consequence, in the scattered light, blue will be the predominant color. The other colors of the spectrum must, to some extent, be associated with the blue. They are not absent but deficient. We ought, in fact, to have them all, but in diminishing pro portions, from the violet to the red. We have here presented a case to the imagination, and, assuming the undulatory theory to be a reality, we have, I think, fairly reasoned our way to the conclusion that, were particles, small in comparison to the size of the ether-waves3 142 FRAGMENTS OF SCIENCE. sown in our atmosphere, the light scattered by those parti cles would be exactly such as we observe in our azure skies. When this light is analyzed, all the colors of the spectrum are found ; but they are found in the proportions indicated by our conclusion. Let us now turn our attention to the light which passes unscattered among the particles. How must it be finally affected ? By its successive collisions with the particles, the white light is more and more robbed of its shorter waves ; it therefore loses more and more of its due propor tion of blue. The result may be anticipated. The trans mitted light, where short distances are involved, will appear yellowish. But as the sun sinks toward the horizon the atmospheric distances increase, and consequently the num ber of the scattering particles. They abstract in succession the violet, the indigo, the blue, and even disturb the pro portions of green. The transmitted light under such cir cumstances must pass from yellow through orange to red. Tin's also is exactly what we find in Nature. Thus, while the reflected light gives us at noon the deep azure of the Alpine skies, the transmitted light gives us at sunset the warm crimson of the Alpine snowrs. The phenomena cer tainly occur as if our atmosphere were a medium rendered slightly turbid by the mechanical suspension of exceedingly small foreign particles. / Here, as before, we encounter our skeptical " as if" It- is one of the parasites of science, ever at hand, and ready to plant itself and sprout, if it can, on the weak points of our philosophy. But a strong constitution defies the para site, and in our case, as we question the phenomena, proba bility grows like growing health, until in the end the malady of doubt is completely extirpated. The first question that naturally arises is, Can small particles be really proved to act in the manner indicated ? No doubt of it. Each one of you can submit the question to an experimental test. SCIENTIFIC USE OF THE IMAGINATION. 143 Water will not dissolve resin, but spirit will; and when spirit which holds resin in solution is dropped into water, the resin immediately separates in solid particles, which render the water milky. The coarseness of this precipitate depends on the quantity of the dissolved resin. You can cause it to separate in thick clots or in exceedingly fine particles. Professor Briicke has given us the proportions which produce particles particularly suited to our present purpose. One gramme of clean mastic is dissolved in eighty-seven grammes of absolute alcohol, and the trans parent solution is allowed to drop into a beaker containing clear water kept briskly stirred. An exceedingly fine precipitate is thus formed, which declares its presence by its action upon light. Placing a dark surface behind the beaker, and permitting the light to fall into it from the top or front, the medium is seen to be distinctly blue. It is not perhaps so perfect a blue as I have seen on exceptional days, this year, among the Alps, but it is a very fair sky- blue. A trace of soap in water gives a tint of blue. Lon- .fxion, and I fear Liverpool milk, makes an approximation to the same color through the operation of the same cause ; and Helmholtz has irreverently disclosed the fact that the deepest blue eye is simply a turbid medium. The action of turbid media upon light was illustrated by Goethe, who, though unacquainted with the undula- tory theory, was led by his experiments to regard the firmament as an illuminated turbid medium with the dark ness of space behind it. He describes glasses showing a bright yellow by transmitted, and a beautiful blue by re flected light. Professor Stokes, who was probably the first to discern the real nature of the action of small particles on the waves of ether, describes a glass of a similar kind.1 1 This glass, by reflected light, had a color " strongly resembling that of a decoction of a horse-chestnut bark." Curiously enough, Goethe refers to this very decoction : " Man nehme "einen Streifen frischer Rinde 144 FRAGMENTS OF SCIEXCE. Capital specimens of such glass are to be found at Salviati's iu St. James's Street. What artists call "chill" is no doubt an effect of this description. Through the action of minute particles, the browns of a picture often present the appearance of the bloom of a plum. By rubbing the var nish with a silk handkerchief optical continuity is estab lished, and the chill disappears. Some years ago I wit nessed Mr. Hirst experimenting at Zermatt on the turbid water of the Visp, which was charged with the finely-divided matter ground down by the glaciers. When kept still for a day or so, the grosser matter sank, but the finer matter remained suspended, and gave a distinctly blue tinge to the water. The blueness of certain Alpine lakes has been shown to be in part due to this cause. Professor Roscoe has noticed several striking cases of a similar kind. In a very remarkable paper the late Principal Forbes showed that steam issuing from the safety-valve of a locomotive, when favorably observed, exhibits at a certain stage of its con densation the colors of the sky. It is blue by reflected light, and orange or red by transmitted light. The same effect, as pointed out by Goethe, is to some extent ex hibited by peat-smoke. More than ten years ago I amused myself at Killarney by observing on a calm day the straight smoke-columns rising from the cabin chimneys. It was easy to project the lower portion of a column against a dark pine, and its upper portion against a bright cloud. The smoke in the former case was blue, being seen mainly by reflected light ; in the latter case it was reddish, being seen mainly by transmitted light. Such smoke was not in exactly the condition to give us the glow of the Alps, but it was a step in this direction. Brlicke's fine pre cipitate above referred to koks yellowish by transmitted von der Rosskastanie, man stecke denselbcn in cin Glas Wasser, und in der kiirzesten Zcit werden wir das vollkommenste Himmclblau entstrhen srlu-n." — Goethe's JHr/r, 1>. xxi\'., p. 24. SCIENTIFIC USE OF THE IMAGINATION. 145 light, but by duly strengthening the precipitate you may render the white light of noon as ruby-colored as the sun when seen through Liverpool smoke, or upon Alpine hori zons. I do not, however, point to the gross smoke arising from coal as an illustration of the action of small particles, because such smoke soon absorbs and destroys the waves of blue instead of sending them to the eyes of the observer. These multifarious facts, and numberless others which cannot now be referred to, are explained by reference to the single principle, that where the scattering particles are small in comparison to the size of the waves we have in the reflected light a greater proportion of the smaller waves, and in the transmitted light a greater proportion of the larger waves, than existed in the original white light. The physiological consequence is that in the one light blue is predominant, and in the other light orange or red. And now let us push our inquiries forward. Our best microscopes can readily reveal objects not more than -jo"oToth of an inch in diameter. This is less than the length of a wave of red light. Indeed, a first-rate microscope would enable us to discern objects not exceed ing in diameter the length of the smallest waves of the visible spectrum. By the microscope, therefore, we can submit our particles to an experimental test. If they are as large as the light-waves they will infallibly be seen : and if they are not seen it is because they are smaller. I placed in the hands of our President a bottle containing Brticke's particles in greater number and coarseness than those examined by Briicke himself. The liquid was a milky blue, and Mr. Huxley applied to it his highest microscopic power. He satisfied me at the time that had particles of even I0o1o6oth of an inch in diameter existed in the liquid they could not have escaped detection. But no particles were seen. Under the microscope the turbid liquid was not to be distinguished from distilled water. 7 146 KKA<,MI;NTS OF SCIENCK. Brilcke, I may say, also found the particles to be of ultra- microscopic magnitude. But \ve have it in our power to imitate far more closely than we have hitherto done the natural conditions of this problem. We can generate in air, as many of you know, artificial skies, and prove their perfect identity with the natural one, as regards the exhibition of a number of wholly unexpected phenomena. By a continuous process of growth, moreover, we are able to connect sky-matter, if I may use the term, with molecular matter on the one side, and with molar matter, or matter in sensible masses, on the other. In illustration of this, I will take an ex periment described by M. Morren of Marseilles at the last meeting of the British Association. Sulphur and oxygen combine to form sulphurous acid gas. It is this choking gas that is smelt when a sulphur-match is burnt in air. Two atoms of oxygen and one of sulphur constitute the molecule of sulphurous acid. Now it has been recently shown in a great number of instances that waves of ether issuing from a strong source, such as the sun or the electric light, are competent to shake asunder the atoms of gaseous molecules. A chemist would call this " decom position" by light; but it behooves us, who are examin ing the power and function of the imagination, to keep constantly before us the physical images which underlie our terms. Therefore, I say, sharply and definitely, that the components of the molecules of sulphurous acid are shaken asunder by the ether-waves. Enclosing the sub stance in a suitable vessel, placing it in a dark room, and sending through it a powerful beam of light, we at first see nothing : the vessel containing the gas is as empty as a vacuum. Soon, ho\yever, along the track of the beam a beautiful sky-blue color is observed, which is due to the liberated particles of sulphur. For a time the blue grows more intense; it then becomes whitish; SCIENTIFIC USE OF THE IMAGINATION. 147 and from a whitish blue it passes to a more or less perfect white. If the action be continued long enough, we end by filling the tube with a dense cloud of sulphur-particles, which by the application of proper means may be rendered visible. Here, then, our ether-waves untie the bond of chemical affinity, and liberate a body — sulphur — which at ordinary temperatures is a solid, and which therefore soon becomes an object of the senses. We have first of all the free atoms of sulphur, which are both invisible and incompetent to stir the retina sensibly with scattered light. But these atoms gradually coalesce and form particles, which grow larger by continual accretion, until after a minute or two they appear as sky-matter. In this condition they are in visible themselves, but competent to send an amount of wave-motion to the retina sufficient to produce the fir- mamental blue. The particles continue, or may be caused to continue, in this condition for a considerable time, during which no microscope can cope with them. But they continually grow larger, and pass by insensible grada tions into the state of cloud, when they can no longer elude the armed eye. Thus without solution of continuity we start with matter in the molecule, and end with matter in the mass, sky-matter being the middle term of the series of transformations. Instead of sulphurous acid, we might choose from a dozen other substances, and produce the same effect with any of them. In the case of some — probably in the case of all — it is possible to preserve matter in the skyey con dition for fifteen or twenty minutes under the continual operation of the light. During these fifteen or twenty minutes the particles are constantly growing larger, with out ever exceeding the size requisite to the production of the celestial blue. Now, when two vessels are placed be fore you, each containing sky-matter, it is possible to state 148 FRAGMENTS 0* SCIENCE. with great distinctness which vessel contains the largest particles. The retina is very sensitive to differences of light, when, as here, the eye is in comparative darkness, and when the quantities of wave-motion thrown against the retina are small. The larger particles declare them selves by the greater whiteness of their scattered light. Call now to mind the observation, or effort at observation, made by our President, when he failed to distinguish the particles of mastic in Brlicke's medium, and when you have done so follow me. I permitted a beam of light to act upon a certain vapor. In two minutes the azure appeared, but at the end of fifteen minutes it had not ceased to be azure. After fifteen minutes, for example, its color, and some other phenomena, pronounced it to be a blue of dis tinctly smaller particles than those sought for in vain by Mr. Huxley. These particles, as already stated, must have been less than 100*06uth of an inch in diameter. And now I want you to submit to your imagination the following question: Here are particles which have been growing continually for fifteen minutes, and at the end of that time are demonstrably smaller than those which defied the mi croscope of Mr. Huxley : what must have been the size of these particles at the beginning of their growth? "What notion can you form of the magnitude of such particles ? The distances of stellar space give us simply a bewildering sense of vastness without leaving any distinct impression on the mind, and the magnitudes with which we have here to do bewilder us equally in the opposite direction. We are dealing with infinitesimals compared with which the test objects of the microscope are literally immense. From their perviousness to stellar light and other con siderations, Sir John Herschel drew some startling conclu sions regarding the density and weight of comets. You know that these extraordinary and mysterious bodies some- throw out tails 100,000,000 of miles in length, and SCIENTIFIC USE OF THE IMAGINATION. 149 50,000 miles in diameter. The diameter of our earth is 8,000 miles. Both it and the sky, and a good portion of space beyond the sky, would certainly be included in a sphere 10,000 miles across. Let us fill a hollow sphere of this diameter with cometary matter, and make it our unit of measure. To produce a comet's tail of the size just men tioned, about 300,000 such measures would have to be emptied into space. Now, suppose the whole of this stuff to be swept together and suitably compressed, what do you suppose its volume would be ? Sir John Herschel would probably tell you that the whole mass might be carted away at a single effort by one of your dray-horses. In fact, I do not know that he would require more than a small fraction of a horse-power to remove the cometary dust. After this you will hardly regard as monstrous a notion I have sometimes entertained concerning the quantity of matter in our sky. Suppose a shell to surround the earth at a height above the surface which would place it beyond the grosser matter that hangs in the lower regions of the air — say at the height of the Matterhorn or Mont Blanc. Outside this shell we have the deep-blue firmamerit. Let the atmospheric space beyond the shell be swept clean, and let the sky-matter be properly gathered up. What is its probable amount ? I have sometimes thought that a lady's portmanteau would contain it all. I have thought that even a gentleman's portmanteau — possibly his snuff-box — might take it in. And whether the actual sky be capable of this amount of condensation or not, I entertain no doubt that a sky quite as vast as ours, and as good in appearance, could be formed from a quantity of matter which might be held in the hollow of the hand. Small in mass, the vastness in point of number of the particles of our sky may be inferred from the continuity of its light. It is not in broken patches, nor at scattered points that the heavenly azure is revealed. To the observer on 150 FRAGMENTS OF SCIENTI-. the summit of Mont Blanc the blue is as uniform and co herent as if it formed the surface of the most close-grained solid. A marble dome would not exhibit a stricter con tinuity. And Mr. Glaisher will inform you that if our hy pothetical shell were lifted to twice the height of Mont Bkinc above the earth's surface, we should still have the azure overhead. Everywhere through the atmosphere those sky-particles are strewn. They fill the Alpine valleys, spreading like a delicate gauze in front of the slopes of pine. They sometimes so swathe the peaks with light as to abolish their definition. This year I have seen the "Weisshorn thus dissolved in opalescent air. By proper instruments the glare thrown from the sky-particles against the retina may be quenched, and then the mountain which it obliterated starts into sudden definition. Its extinction in front of a dark mountain resembles exactly the with drawal of a veil. It is the light then taking possession of the eye, and not the particles acting as opaque bodies, that interferes with the definition. By day this light quenches the stars ; even by moonlight it is able to exclude from vision all stars between the fifth and the eleventh magni tude. It may be likened to a noise, and the stellar radiance I-) a whisper drowned by the noise. What is th^ nature of the particles which shed this light ? The celebrated De la Rive ascribes the haze of the Alps in fine weather to floating organic germs. Now, the possible existence of germs in such profusion has been held up as an absurdity. It has been affirmed that they would darken the air, and on the assumed impossibility of their existence in the requisite numbers, without invasion of the solar light, a powerful argument has been based by be lievers in spontaneous generation. Similar arguments have been used by the opponents of the germ theory of epidemic disease, who have triumphantly challeged an ap peal to the microscope and the chemist's balance to decide SCIENTIFIC USE OF THE IMAGINATION. 151 the question. Such arguments are absolutely valueless. Without committing myself in the least to De la Rive's notion, without offering any objection here to the doctrine of spontaneous generation, without expressing any adhe rence to the germ theory of disease, I would simply draw attention to the fact that in the atmosphere we have parti cles which defy both the microscope and the balance, which do not darken the air, and which exist, nevertheless, in multitudes sufficient to reduce to insignificance the Israel- itish hyperbole regarding the sands upon the sea-shore. The varying judgments of men on these and other ques tions may perhaps be, to some extent, accounted for by that doctrine of relativity which plays so important a part in philosophy. This doctrine affirms that the impressions made upon us by any circumstance, or combination of cir cumstances, depend upon our previous state. Two travellers upon the same peak, the one having ascended to it from the plain, the other having descended to it from a higher elevation, will be differently affected by the scene around them. To the one Nature is expanding, to the other it is contracting, and feelings are sure to differ which have two such different antecedent states. In our scientific judg ments the law of relativity may also play an important part. To two men, one educated in the school of the senses, who has mainly occupied himself with observation, and the other educated in the school of imagination as well, and exercised in the conceptions of atoms and molecules, to which we have so frequently referred, a bit of matter, say -^-o-J-^o"th of of an inch in diameter, will present itself differently. The one descends to it from his molar heights, the other climbs to it from his molecular low-lands. To the one it appears small, to the other large. So also as regards the apprecia tion of the most minute forms of life revealed by the micro scope. To one of these men they naturally appear conter minous with the ultimate particles of matter, and he readily I.-.J FIJACMKNTS OF SCIEXCK. figures the molecules from which they directly spring; with him there is but a step from the atom to the organism. The other discerns numberless organic gradations between both. Compared with his atoms, the smallest vibrios and bacteria of the microscopic field are as behemoth and levia- than. The law of relativity may to some extent explain the different attitudes of these two men with regard to the question of spontaneous generation. An amount of evi dence which satisfies the one entirely fails to satisfy the other ; and while to the one the last bold defence and start ling expansion of the doctrine will appear perfectly conclu sive, to the other it will present itself as imposing a profit less labor of demolition on subsequent investigators.1 I trust, Mr. President, that you — whom untoward circum stances have made a biologist, but who still keep alive your sympathy with that class of inquiries which Nature intend ed you to pursue and adorn — will excuse me to your breth ren if I say that some of them seem to form an inadequate estimate of the distance which separates the microscopic from the molecular limit, and that, as a consequence, they sometimes employ a phraseology which is calculated to mis lead. When, for example, the contents of a cell are de scribed as perfectly homogeneous, as absolutely structure less, because the microscope fails to distinguish any struct ure, then I think the microscope begins to play a mischiev ous part. A little consideration will make it plain to all of you that the microscope can have no voice in the real question of germ-structure. Distilled water is more per- fivily homogeneous than the contents of any possible or ganic germ. What causes the liquid to cease contract inir at 39° Fahrenheit, and to expand until it freezes ? It is a Mnictural process of which the microscope can take no note, nor is it likely to do so by any conceivable extension 1 A resolute scrutiny of the experiments, recently executed with to this question, is sure to yield instructive results. SCIENTIFIC USE OF THE IMAGINATION. 153 of its powers. Place this distilled water in the field of an electro-magnet, and bring a microscope to bear upon it. Will any change be observed when the magnet is excited ? Absolutely none ; and still profound and complex changes have occurred. First of all, the particles of water are ren dered diamagnetically polar ; and secondly, in virtue of the structure impressed upon it by the magnetic strain of its molecules, the liquid twists a ray of light in a fashion per fectly determinate both as to quantity and direction. It would be immensely interesting to both you and me if one whom I hoped to see here present,1 who has brought his brilliant imagination to bear upon this subject, could make us see as he sees the entangled molecular processes involved in the rotation of the plane of polarization by magnetic force. While dealing with this question, he lived in a world of matter and of motion, to which the microscope has no passport, and in which it can offer no aid. The cases in which similar conditions hold are simply numberless. Have the diamond, the amethyst, and the countless other crystals formed in the laboratories of Nature and of man no struct ure ? Assuredly they have ; but what can the microscope make of it ? Nothing. It cannot be too distinctly borne in mind that between the microscope limit and the true molecular limit there is room for infinite permutations and combinations. It is in this region that the poles of the atoms are arranged, that tendency is given to their powers, so that when these poles and powers have free action and proper stimulus in a suitable environment, they determine first the germ, and afterward the complete organism. This first marshalling of the atoms on which all subsequent ac tion depends baffles a keener power than that of the micro scope. Through pure excess of complexity, and long be fore observation can have any voice in the matter, the most highly-trained intellect, the most refined and disciplined 1 Sir William Thomson 154 FRACMI:NTS OF SCIENCE. imagination, retires in bewilderment from the contempla tion of the problem. We are struck dumb by an astonish ment which no microscope can relieve, doubting not only the power of our instrument, but even whether we ourselves possess the intellectual elements which will ever enable us to grapple with the ultimate structural energies of Nature. But the speculative faculty, of which imagination forms so large a part, will nevertheless wander into regions where the hope of certainty would seem to be entirely shut out. A\V think that though the detailed analysis may be, and may forever remain, beyond us, general notions may be at tainable. At all events, it is plain that beyond the present outposts of microscopic inquiry lies an immense field for the exercise of the speculative power. It is only, however, iho privileged spirits who know how to use their liberty without abusing it, who are able to surround imagination by the firm frontiers of reason, that are likely to work with any profit here. But freedom to them is of such paramount importance that, for the sake of securing it, a good deal of wild ness on the part of weaker brethren may be overlooked. In more senses than one Mr. Darwin has drawn heavily upon the scientific tolerance of his age. He has drawn heavily upon time in his development of species, and he has drawn adventurously upon matter in his theory of pangen- < sis. According to this theory, a germ already microscopic is a world of minor germs. Not only is the organism as a wlmle wrapped up in the germ, but every organ of the or ganism has there its special seed. This, I say, is an adven turous draft on the power of matter to divide itself and distribute its forces. But, unless we arc perfectly sure thai he is overstepping the bounds of reason, that he is unwit tingly sinning against observed fact or demonstrated law — for a mind like that of Darwin can never pin wittingly against either fact or law — we ought, I think, to be cautious in limiting his intellectual horizon. If there be the least SCIENTIFIC USE OF THE IMAGINATION. 155 doubt in the matter, it ought to be given in favor of the freedom of such a mind. To it a vast possibility is in it self a dynamic power, though the possibility may never be drawn upon. It gives me pleasure to think that the facts and reasonings of this discourse tend rather toward the justification of Mr. Darwin than toward his condemna tion, that they tend rather to augment than to diminish the cubic space demanded by this soaring speculator ; for they seem to show the perfect competence of matter and force, as regards divisibility and distribution, to bear the heaviest strain that he has hitherto imposed upon them. In the case of Mr. Darwin, observation, imagination, and reason combined, have run back with wonderful sagacity and success over a certain length of the line of biological succession. Guided by analogy, in his " Origin of Species," he placed at the root of life a primordial germ, from which he conceived the amazing richness and variety of the life that now is upon the earth's surface might be deduced. If this hypothesis were true, it would not be final. The hu man imagination would infallibly look behind the germ, and, however hopeless the attempt, would inquire into the history of its genesis. In this dim twilight of conjecture the searcher welcomes every gleam, and seeks to augment his light by indirect incidences. He studies the methods of Nature in the ages and the worlds within his reach, in order to shape the course of speculation in the antecedent ages and worlds. And though the certainty possessed by experimental inquiry is here shut out, the imagination is not left entirely without guidance. From the examination of the solar system, Kant and Laplace came to the conclu sion that its various bodies once formed parts of the same imdislocated mass ; that matter in a nebulous form preceded matter in a dense form ; that as the ages rolled away, heat was wasted, condensation followed, planets were detached, and that finally the chief portion of the fiery cloud reached, 156 FRAGMENTS OF SCIENCE. by self-compression, the magnitude and density of our sun. The earth itself oilers evidence of a fiery origin ; and in our day the hypothesis of Kant and Laplace receives the inde pendent countenance of spectrum analysis, which proves the same substances to be common to the earth and sun. Accepting some such view of the construction of our system as probable, a desire immediately arises to connect the present life of our planet with the past. We wish to know something of our remotest ancestry. On its first de tachment from the central mass, life, as we understand it, could hardly have been present on the earth. How, then, did it come there ? The thing to be encouraged here is a reverent freedom — a freedom preceded by the hard disci pline which checks licentiousness in speculation — while the tiling- to be repressed, both in science and out of it, is dog matism. And here I am in the hands of the meeting — willing to end, but ready to go on. I have no right to in trude upon you, unasked, the unformed notions which are floating like clouds, or gathering to more solid consistency in the modern speculative scientific mind. But if you wish me to speak plainly, honestly, and undisputatiously, I am willing to do so. On the present occasion — " You arc ordained to call, and I to come." Two views, then, offer themselves to us. Life was pres ent potentially in matter when in the nebulous form, and was unfolded from it by the way of natural development, or it is a principle inserted into matter at a later date. With regard to the question of time, the views of men have changed remarkably in our day and general i< m ; and I must say as regards courage also, and a manful willingness to engage in open contest, with fair weapons, a great •change has also occurred. The clergy of England — at all events the clergy of London — have nerve enough to listen to the strongest views which any one among us would care SCIENTIFIC USE OF THE IMAGINATION. 157 to utter ; and they invite, if they do not challenge, men of the most decided opinions to state and stand by those opin ions in open court. Let the hardiest theory be stated only in the language current among gentlemen, and they look it in the face ; smiting the theory, if they do not like it, not with theologicfulmination, but with honest secular strength. With the country clergy I am told the case is different. It is right that I should say this, because the clergy of Lon don have more than once offered me the chance of meeting them in open, honorable discussion. Two or three years ago, in an ancient London College, I listened to such a discussion at the end of a remarkable lecture by a very remarkable man. Three or four hundred clergymen were present at the lecture. The orator began with the civilization of Egypt in the time of Joseph ; pointing out that the very perfect organization of the kingdom, and the possession of chariots, in one of which Joseph rode, indicated a long antecedent period of civili zation. He then passed on to the mud of the Nile, its rate of augmentation, its present thickness, and the re mains of human handiwork found therein ; thence to the rocks which bound the Nile valley, and which teem with organic remains. Thus in his own clear and admirable way he caused the idea of the world's age to expand itself indefinitely before the mind of his audience, and he con trasted this with the age usually assigned to the world. During his discourse he seemed to be swimming against the stream ; he manifestly thought that he was opposing a general conviction. He expected resistance ; so did I. But it was all a mistake : there was no adverse current, o opposing conviction, no resistance, merely here and there a half-humorous, but unsuccessful attempt to entan gle him in his talk. The meeting agreed with all that had been said regarding the antiquity of the earth and of its life. They had, indeed, known it all long ago, and 158 FRAGMENTS OF SCIENCE. they good-humoredly rallied the lecturer for coming among them with so stale a story. It was quite plain that this large body of clergymen, who were, I should say, the finest samples of their class, had entirely given up the ancient Landmarks, and transported the conception of life's origin to an indefinitely distant past. ^- This leads us to the gist of our present inquiry, which is this : Does life belong to what we call matter, or is it an independent principle inserted into matter at some suitable epoch — say when the physical conditions became such as to permit of the development of life ? Let us put the ques tion with all the reverence due to a faith and culture in which we all were cradled — a faith and culture, moreover, which are the undeniable historic antecedents of our pres ent enlightenment. I say, let us put the question rever ently, but let us also put it clearly and definitely. There are the strongest grounds for believing that during a cer tain period of its history the earth was not, nor was it fit to be, the theatre of life. Whether this was ever a nebu lous period, or merely a molten period, does not much matter ; and if we revert to the nebulous condition, it is because the probabilities are really on its side. Our ques- lion is this : Did creative energy pause until the nebulous matter had condensed, until the earth had been detached, until the solar fire had so far withdrawn from the earth's / vicinity as to permit a crust to gather round the planet ? . Did it wait until the air was isolated, until the seas were formed, until evaporation, condensation, and the descent of rain had begun, until the eroding forces of the atmosphere had weathered and decomposed the molten rocks so as to form soils, until the sun's rays had become so tempered by distance and by waste as to be chemically fit for the de compositions necessary to vegetable life ? Having waited through those ^Eons until the proper conditions had set in, did it send the fiat forth, " Let Life be ! " ? These ques- SCIENTIFIC USE OF THE IMAGINATION. 159 tions define a hypothesis not without its difficulties, but the dignity of which was demonstrated by the nobleness of the men whom it sustained. Modern scientific thought is called upon to decide be tween this hypothesis and another: and public thought generally will afterward be called upon to do the same. You may, however, rest secure in the belief that the hy pothesis just sketched can never be stormed, and that it is sure, if it yield at all, to yield to a prolonged siege. To gain new territory modern argument requires more time than modern arms, though both of them move with greater rapidity than of yore. But however the convictions of indi viduals here and there may be influenced, the process must be slow and secular which commends the rival hypothesis of Natural Evolution to the public mind. For what are the core and essence of this hypothesis ? Strip it naked and you stand face to face with the notion that not alone the more ignoble forms of animalcular or animal life, not alone the nobler forms of the horse and lion, not alone the exqui site and wonderful mechanism of the human body, but that the human mind itself — emotion, intellect, will, and all their phenomena — were once latent in a fiery cloud. Surely the mere statement of such a notion is more than a refu tation. But the hypothesis would probably go even further than this. Many who hold it would probably assent to the position that at the present moment all our philosophy, all our poetry, all our science, and all our art — Plato, Shake speare, Newton, and Raphael — are potential in the fires of the sun. We long to learn something of our origin. If the Evolution hypothesis be correct, even this unsatisfied yearning must have come to us across the ages which sepa rate the unconscious primeval mist from the consciousness of to-day. I do not think that any holder of the Evolution hypothesis would say that I overstate it or overstrain it in any way. I merely strip it of all vagueness, and bring 160 FRAGMENTS OF SCIENCE. before you unclothed and unvarnished the notions by which it must stand or fall. Surely these notions represent an absurdity too mon strous to be entertained by any sane mind. Let us, how ever, give them fair play. Let us steady ourselves in front of the hypothesis, and, dismissing all terror and excitement from our minds, let us look firmly into it with the hard sharp eye of intellect alone. Why are these notions absurd, and why should sanity reject them ? The law of Relativity, of which we have previously spoken, may find its application here. These Evolution notions are absurd, monstrous, and fit only for the intellectual gibbet, in relation to the ideas concerning matter which were drilled into us wrhen young. Spirit and matter have ever been presented to us in the rudest contrast, the one as all-noble, the other as all-vile. But is this correct ? Does it represent what our mightiest spiritual teacher would call the Eternal Fact of the Uni verse ? Upon the answer to this question all depends. Supposing, instead of having the foregoing antithesis of spirit and matter presented to our youthful minds, we had been taught to regard them as equally worthy and equally wonderful ; to consider them in fact as two opposite faces of the self-same mystery. Supposing that in youth we had been impregnated with the notion of the poet Goethe, in stead of the notion of the poet Young, looking at matter, not as brute matter, but as " the living garment of God ; " do you not think that under these altered circumstances the law of Relativity might have had an outcome different from its present one ? Is it not probable that our repug nance to the idea of primeval union between spirit and matter might be considerably abated ? Without this total revolution of the notions now prevalent, the Evolution hy pothesis must stand condemned ; but in many profounC2 FRAGMENTS OF SCIENCE. system of splendidly-colored rings. Precisely the same phenomena are observed when we look at the blue firma ment in a direction perpendicular to the solar rays. We have thus far illuminated our artificial sky with ordinary light. "We will now examine the effects produced when the light which illuminates the particles is itself polarized. In front of the electric lamp, and between it and the experimental tube, is placed this fine Nicol's prism, which is sufficiently large to embrace and to polarize the entire beam. The plane of vibration of the light now emergent from the prism, and falling upon the cloud, is vertical ; and we find that this formless aggregate of infini tesimal particles, without definite structure, is absolutely incompetent to scatter the light upward or downward, while it freely discharges the light horizontally, right and left. I turn the polarizing Nicol so as to render the plane of vibration horizontal ; the cloud now freely scatters the light vertically upward and downward, but it is absolutely incompetent to shed a ray horizontally to the right or left. Suppose the atmosphere of our planet to be surrounded by an envelope impervious to light, with an aperture on the sunward side, through which a solar beam could enter. Surrounded on all sides by air not directly illuminated, the track of the sunlight would resemble that of the electric beam in a dark space filled with our incipient cloud. The course of the sunbeam would be blue, and it would dis charge laterally, in all directions round it, light in precisely the same polarized condition as that discharged from the incipient cloud. In fact, the azure revealed by the sunbeam would be the azure of such a cloud. And if, instead of permitting the ordinary light of the sun to enter the aper ture, a NicoPs prism were placed there, which should polarize the sunlight on its entrance into our atmosphere, the particles producing the color of the sky would act precisely like those of our incipient cloud. In two directions STRUCTURE AND LIGHT OF THE SKY. 263 we should have the solar light reflected ; in two others un- reflected. In fact, out of such a solitary beam, traversing the unilluminated air, we should be able to extract every effect shown by our incipient cloud. In the production of such clouds we virtually carry bits of the sky into our laboratories, and obtain with them all the effects obtainable in the open firmament of heaven. The real sky is, as I have said, less perfect than our artificial one may be made. For, mingled with the infini tesimal particles which constitute the true matter of the sky, there are others too coarse to scatter perfectly po larized light at right angles to the solar beams. Hence, when the brilliancy of the sky is diminished to the utter most, there is still a residue of light ; the extinction is partial, and not total, as in the case of our incipient cloud. Let us consider this matter. The perfect polarization can only be produced by excessively minute particles ; imagine them growing gradually larger as they actually do in our experiments. The extinction by the Nicol is perfect as long as the polarization is complete. But what would you expect? Manifestly, that after a time the polarization would cease to be perfect. But here again the relation of the size of the particles to the size of the waves must come into play. In relation to the blue waves the particles are larger than in relation to the red ; the blue waves, there fore, will be the first liberated from a condition dependent on the smallness of the particles. They will first escape from the trammels of polarization ; and on their liberation they exhibit an azure far purer and more brilliant than that produced by the first precipitation of the particles. Could we overarch ourselves with a sky of this color for a single day, it would make us discontented with our present lack lustre firmament ever afterward. It will be observed that in all these cases reason and experiment go hand in hand, the one predicting, the other verifying; every such vcrifi- 264 FRAGMENTS OF SCIENt i; cation lending its weight of proof to the undulatory theory on which the predictions are founded. The selenite ring-system, already referred to, is a most delicate reagent for the detection of polarized light. When we look normally, or perpendicularly, at an incipient cloud, the colors of the rings are most vividly developed, a dim inution of the color being immediately apparent when the incipient cloud is regarded obliquely. But let us con tinue to look through the Nicol and selenite normally at the cloud : the particles augment in size, the cloud becomes coarser and whiter, the strength of the selenite colors be coming gradually feebler. At length the cloud ceases to discharge polarized light along the normal, and then the selenite colors entirely disappear. If, now, the cloud be re garded obliquely the colors are restored, very vividly, if not with their first vividness and clearness. Thus the cloud that has ceased to discharge polarized light at right angles to the illuminating beam, pours out such light copiously in oblique directions. The direction of maximum polariza tion changes with the texture of the cloud. But this is not all ; and to understand, even partially, what remains, a word must be said regarding the appear ance of the colors of our plate of selenite. If, as before stated, the plate be of uniform thickness, its hue in polar ized light is uniform. Suppose, then, that by arranging the Nicol the color of the plate is raised to its maximum brilliancy, and suppose the color produced to be green ; on turning the Nicol round its axis the green becomes fainter. When the angle of rotation amounts to 45° the color dis appears ; we then pass what may be called a neutral posi tion, where the selenite behaves, not as a crystal, but as a bit of glass. Continuing the rotation, a color reappears, but it is no longer green but red. This attains its maxi mum at a distance of 45° from the neutral position, or, in oilier words, at a distance of 90° from the position which STRUCTURE AND LIGHT OP THE SKY. 265 showed the green at its maximum. At a further distance of 45° from the position of maximum red, the color disap pears a second time. We have there a second neutral point, beyond which the green comes again into view, at taining its maximum brilliancy at the end of a rotation of 180°. By the rotation of the Nicol, therefore, through an angle of 90°, we produce a color complementary to that with which we started. As may be inferred from this result, the selenite ring- system changes its character when the Nicol is turned. It is possible to have the centre of the circle dark, the surrounding rings being vividly colored. The turning of the Nicol through an angle of 90° renders the centre bright, while every point occupied by a certain color in the first instance is occupied by the complement of that color in the second. By curious internal actions, not here to be de scribed, the cloud in our experimental tube sometimes divides itself into sections of different textures. Some sec tions are coarser than others, while it often happens that some are iridescent to the naked eye, and others not. Looking normally at such a cloud through the selenite and Nicol, it often happens that in passing from section to sec tion the whole character of the ring-system is changed. You start with a section producing a dark centre and a corresponding system of rings ; you pass through a neutral point to another section and find there the centre bright, and each of the first rings displaced by one of the comple mentary color. Sometimes as many as four such rever sions occur in the cloud of an experimental tube a yard long. Now, the changes here indicated mean that in passing from section to section of the cloud the plane of vibration of the polarized light turns suddenly through an angle of 90° ; this change being entirely due to the different texture of the two parts of the cloud. You will now be able to understand, as far as it is ca^ 12 266 FRAGMENTS OF SCIENCE. pable of being understood, a very beautiful effect which, under favorable circumstances, might be observed in our atmosphere. This experimental tube contains an inch of the iodide-of-allyl vapor, the remaining 29 inches necessary to fill the tube being air, which has bubbled through aque ous hydrochloric acid. Besides, therefore, the vapor of iodide of allyl, we have those of water and of acid within the tube. The light has been acting on the mixture for some time, a beautiful incipient blue cloud being formed. As before stated, the " incipient cloud " is wholly different in texture and optical properties from an ordinary cloud ; but it is possible to precipitate in the midst of the azure the aqueous vapor so as to cause it to form in the tube a cloud similar to the clouds of our atmosphere. An exhausted vessel of about one-third of the capacity of the experi mental tube is connected with it, the passage uniting both being closed by a stop-cock. On opening this cock the mixed air and vapor rush from the experimental tube into the empty vessel ; and, in consequence of the chilling due to rarefaction, the vapor in the experimental tube is pre cipitated as a true cloud. What is the result ? Instantly the centre of the system of colored rings becomes bright, and the whole series of colors corresponding to definite ra dial distances, complementary; While you continue to look at the cloud, it gradually melts away as an atmos pheric cloud might do in the azure of heaven. And there is our azure also remaining behind. The coarser cloud seems drawn aside like a veil, the blue reappears, the first ring-system, with its dark centre and correspondingly col ored circles, being restored. Thus patiently you have accompanied me over a piece of exceedingly difficult ground ; and I think, as a prudent guide, we ought to halt upon the eminence we have now attained. We might go higher, but the bowlders begin here to be very rough. At a future day we shall, I doubt STRUCTURE AND LIGHT OF THE SKY. £67 not, be able to overcome this difficulty, and to reach to- g*ether a greater elevation. THE SKY OF THE ALPS. THE vision of an object always implies a differential action on the retina of the observer. The object is dis tinguished from surrounding space by its excess or defect of light in relation to that space. By altering the illumi nation, either of the object itself or of its environment, we alter the appearance of the object. Take the case of clouds floating in the atmosphere with patches of blue between them. Any thing that changes the illumination of either alters the appearance of both, that appearance depending, as stated, upon differential action. Now the light of the skv being polarized, may, as the reader of the foregoing pages knows, be in great part quenched by a Nicol's prism, while the light of a cloud, being unpolarizcd, cannot be thus extinguished. Hence the possibility of very re markable variations, not only in the aspect of the firma ment, which is really changed, but also in the aspect of the clouds which have that firmament as a background. It is possible, for example, to choose clouds of such a depth of shade that when the Nicol quenches the light behind them, they shall vanish, being undistinguishable from the residual dull tint which outlives the extinction of the brilliance of the sky. A cloud less deeply shaded, but still deep enough, when viewed with the naked eye, to appear dark on a bright ground, is suddenly changed to a white cloud on a dark ground by the quenching of the sky behind it. When a reddish cloud at sunset chances to float in the region of maximum polarization, the quenching of the sky behind it causes it to flash with a brighter crimson. Last Easter eve the Dartmoor sky, which had just been cleansed by a snow- 268 FRAGMENTS OF SCIENCE. storm, wore a very wild appearance. Round the horizon it was of steely brilliancy, while reddish cumuli and cirri floated southward. When the sky was quenched behind them these floating masses seemed like dull embers sud denly blown upon ; they brightened like a fire. In the Alps we have the most magnificent examples of crimson clouds and snows, so that the effects just referred to may be here studied under the best possible conditions. On August 23, 1869, the evening Alpenglow was very fine, though it did not reach its maximum depth and splendor. Toward sunset I walked up the slopes to obtain a better view of the Weisshorn. The side of the peak seen from the Bel Alp, being turned from the sun, was tinted mauve ; but I wished to see one of the rose-colored buttresses of the mountain. Such was visible from a point a few hundred feet above the hotel. The Matterhorn also, though for the most part in shade, had a crimson projection, while a deep ruddy red lingered along its western shoulder. Four dis tinct peaks and buttresses of the Dom, in addition to its dominant head — all covered with pure snow — were red dened by the light of sunset. The shoulder of the Alphu- bel was similarly colored, while the great mass of the Flet- schorn was all a-glow, and so was the snowy spine of the Monte Leone. Looking at the Weisshorn through the Nicol, the glow of its protuberance was strong or weak according to the position of the prism. The summit also underwent a change. In one position of the prism it exhibited a pale white against a dark background ; in the rectangular posi tion, it was a dark mauve against a light background. The red of the Matterhorn changed in a similar manner ; but the whole mountain also passed through striking changes of definition. The air at the time was filled with a silvery haze, in which the Matterhorn almost disappeared. This could be wholly quenched by the Nicol, and then the THE SKY OF THE ALPS. 269 mountain sprang forth with astonishing solidity and detach ment from the surrounding air. The changes of the Dom were still more wonderful. A vast amount of light could be removed from the sky behind it, for it occupied the po sition of maximum polarization. By a little practice with the Nicol it was easy to render the extinction of the light, or its restoration, almost instantaneous. When the sky was quenched, the four minor peaks and buttresses, and the summit of the Dom, together with the shoulder of the Al- phubel, glowed as if set suddenly on fire. This was imme diately dimmed by turning the Nicol through an angle of 90°. It was not the stoppage of the light of the sky behind the mountains alone which produced this startling effect ; the air between them and me was highly opalescent, and the quenching of this intermediate glare augmented re markably the distinctness of the mountains. On the morning of August 24th similar effects were fine ly shown. At 10 A. M. all three mountains, the Dom, the Matterhorn, and the Weisshorn, were powerfully affected by the Nicol. But in this instance also the line drawn to the Dom being accurately perpendicular to the direction of the solar shadows, and consequently very nearly perpen dicular to the solar beams, the effects on this mountain were most striking. The gray summit of the Matterhorn at the same time could scarcely be distinguished from the opales cent haze around it ; but when the Nicol quenched the haze, the summit became instantly isolated, and stood out in bold definition. It is to be remembered that in the pro duction of these effects the only things changed are the sky behind and the luminous haze in front of the moun tains ; that these are changed because the light emitted from the sky and from the haze is plane polarized light,1 and that the light from the snows and from the mountains being sensibly unpolarized, is not directly affected by the 1 Defined at page 255. 270 FRAGMENTS OF SCIENCE. Nicol. It will also be understood that it is not the interposi- tion of the haze as an opaque body that renders the moun tains indistinct, but that it is the UyJtt of the haze which dims and bewilders the eye, and thus weakens the defini tion of objects seen through it. The results have a direct bearing upon what artists call " aerial perspective." As we look from the summit of the Aletschhorn, or from a lower elevation, at the serried crowd of peaks, especially if the mountains be darkly colored — covered with pines, for example — every peak and ridge is separated from the mountains behind it by a thin blue haze which renders the relations of the mountains as to distance unmistakable. When this haze is regarded through the Nicol perpendicular to the sun's rays, it is in many cases wholly quenched, because the light which it emits in this direction is wholly polarized. When this happens, aerial perspective is abolished, and mountains very differently dis tant appear to rise in the same vertical plane. Close to the Bel Alp, for instance, is the gorge of the Massa, and beyond the gorge is a high ridge darkened by pines. This ridge may be projected upon the dark slopes at the opposite side of the Rhone valley, and between both we have the blue haze referred to, throwing the distant mountains far away. But at certain hours of the day this haze may be quenched, and then the Massa ridge and the mountains beyond the Rhone seem almost equally distant from the eye. The one appears, as it were, a vertical continuation of the other. The haze varies with the temperature and humidity of the atmosphere. At certain times and places it is almost as blue as the sky itself; but to see its color, the attention must be withdrawn from the mountains and from the trees which cover them. In point of fact, the haze is a piece of more or less perfect sky ; it is produced in the same man ner, and is subject to the same laws, as the iirinament it self. We live in the sky, not under it. THE SKY OF THE ALPS. 271 These points were further elucidated by the deportment of the selenite plate, with which the readers of the fore going discourse are already acquainted. On some of the sunny days of August the haze in the valley of the Rhone, as looked at from the Bel Alp, was very remarkable. Tow- ward evening the sky above the mountains opposite to my place of observation yielded a series of the most splendidly- colored iris-rings ; but on lowering the selenite until it had the darkness of the pines at the opposite side of the Rhone valley, instead of the darkness of space as a background, the colors were not much diminished in brilliancy. I should estimate the distance across the valley, as the crow flies, to the opposite mountains, at nine miles ; so that a body of air nine miles thick can, under favorable circumstances, produce chromatic effects of polarization almost as vivid as those produced by the sky itself. Again : the light of a landscape, as of most other things, consists of two parts: the one part comes purely from superficial reflection, and this light is always of the same color as that which falls upon the landscape ; the other part comes to us from a certain depth within the objects which compose the landscape, and it is this portion of the total light which gives these objects their distinctive colors. The white light of the sun enters all substances to a certain depth, and is partially ejected by internal reflec tion ; each distinct substance absorbing and reflecting the light in accordance with the laws of its own molecular con stitution. Thus the solar light is sifted by the landscape, which appears in such colors and variations of color as, after the sifting process, reach the observer's eye. Thus the bright green of grass, or the darker color proper to the pine, never comes to us alone, but is always mingled with an amount of really foreign light derived from superficial reflection. A certain hard brilliancy is conferred upon the woods and meadows by this superficially-reflected light. 272 FRAGMENTS OF SCIENCE. Under certain circumstances, it may be quenched by a Nicol's prism, and we then obtain the true color of the grass and foliage. Trees and meadows thus regarded exhibit a richness and softness of tint which they never show as long as the superficial light is permitted to mingle with the true interior emission. The needles of the pines show this effect very well, large-leaved trees still better ; while a glimmer ing field of maize exhibits the most extraordinary variations when looked at through the rotating Nicol. Thoughts and questions like those here referred to took me, in August, 1869, to the top of the Aletschhorn. The effects described in the foregoing paragraphs were for the most part reproduced in the summit of the mountain. I scanned the whole of the sky with my Nicol. Both alone and in conjunction with the selenite it pronounced the per pendicular to the solar beams to be the direction of maxi mum polarization. But at no portion of the firmament was the polarization complete. The artificial sky produced in the experiments recorded in the preceding discourse could, in this respect, be rendered more perfect than the natural one ; while the gorgeous " residual blue " which makes its appearance when the polarization of the artificial sky ceases to be perfect, was strongly contrasted with the lack-lustre hue which, in the case of the firmament, outlived the ex tinction of the brilliance. With certain substances, how ever, artificially treated, this dull residue may also be ob tained. All along the arc from the Matterhorn to Mont Blanc the light of the sky immediately above the mountains was powerfully acted upon by the Nicol. In some cases the variations of intensity were astonishing. I have already said that a little practice enables the observer to shift the Nicol from one position to another so rapidly as to render the alternate extinction and restoration of the light imme diate. When this was done along the arc to which I have THE SKY OF THE ALPS. 273 referred, the alternations of light and darkness resembled the play of sheet-lightning behind the mountains. My notes state that there was an element of awe connected with the suddenness with which the mighty masses, ranged along the line referred to, changed their aspect and defi nition under the operation of the prism. XI. DUST AND DISEASE. A DISCOURSE. DELIVEEED IN THE EOYAL INSTITUTION OF GEEAT BEITAIN. January 21, 1870. With Additions. "Tout iiiiasmc contagieux ales proprictes, 1* dc rcproduire son ana logue dans une maladie qu'il a occasionnee ; 2° de sc repandre ct do sYntrmlrc a, 1'infini, en vertu dc ee developpemcnt secondairc, c'est-a- dire, aussi longtcmps qu'il existe unematiere propre a rccevoir le miasmc, ct en i produirc un nouvcau. Cos deux proprietcs lui sont communes avcc les germes dcs animaux et dcs plantes. HlLDEBRAND. XI. ON DUST AND DISEASE. Experiments on Dusty Air. SOLAR light in passing through a dark room reveals its track by illuminating the dust floating in the air. " The sun," says Daniel Culverwell, " discovers atonies, though they be invisible by candle-light, and makes them dance naked in his beams." 3 In my researches on the decomposition of vapors by light, I was compelled to remove these " atonies " and this dust. It was essential that the space containing the vapors should embrace no visible thing ; that no substance capable of scattering the light in the slightest sensible degree should, at the outset of an experiment, be found in the " ex perimental tube " traversed by the luminous beam. For a long time I was troubled by the appearance there of floating dust, which though invisible in diffuse daylight was at once revealed by a powerfully-condensed beam. Two tubes were placed in succession in the path of the air : the one containing fragments of glass wetted with concentrated sulphuric acid ; the other, fragments of marble wetted with a strong solution of caustic potash. To my astonishment the dust passed through both. The air of the Royal Insti tution sent through these tubes at a rate sufficiently slow 1 On a day of transient shadows there is something almost magical in the rise and dissolution of the luminous beams among the scaffolding poles of the Royal Albert Hall. 278 FRAGMENTS OF SCIENCE. to dry it, and to remove its carbonic acid, carried into the experimental tube a considerable amount of mechanically suspended matter, which was illuminated when the beam passed through the tube. The effect was substantially the same when the air was permitted to bubble through the liquid acid and through the solution of potash. Thus, on October 5, 18G8, successive charges of air were admitted through the potash and sulphuric acid into the ex hausted experimental tube. Prior to the admission of the air the tube was optically empty • it contained nothing competent to scatter the light. After the air had entered the tube, the conical track of the electric beam was in all cases clearly revealed. This, indeed, was a daily observa tion at the time to which I now refer. I tried to intercept this floating matter in various ways ; and on the day just mentioned, prior to sending the air through the drying apparatus, I carefully permitted it to pass over the tip of a spirit-lamp flame. The floating mat ter no longer appeared, having been burnt up by the flume. It was, therefore, of organic origin. I was by no means prepared for this result ; for I had thought that the dust of our air was, in great part, inorganic and non-combustible. I had constructed a small gas-furnace, now much em ployed by chemists, containing a platinum tube, which could be heated to vivid redness.1 The tube contained a roll of platinum gauze, which, while it permitted the air to pass through it, insured the practical contact of the dust with the incandescent metal. The air of the laboratory was permitted to enter the experimental tube, sometimes through the cold, and sometimes through the heated, tube of platinum. The rapidity of admission was also varied. In the first column of the following table the quantity of air operated on is expressed by the number of inches which the mercury gauge of the air-pump sank when the air en- 1 Pasteur was, I believe, the first to employ such a tube. DUST AND DISEASE. 279 tercd. In the second column the condition of the platinum tube is mentioned, and in the third the state of the air which had entered the experimental tube. Quantity of Air. State of Platinum Tubo. State of Experimental Tube. 15 inches Cold Full of particles. 15 " Red hot Optically empty. The phrase " optically empty " shows that when the con ditions of perfect combustion were present, the floating matter totally disappeared. It was wholly burnt up, leav ing no sensible residue. The experiment was repeated many times, with the same invariable result. The whole of the visible particles floating in the air of London rooms being thus proved to be of organic origin,1 I sought to burn them up at the focus of a concave re flector. One of the powerfully convergent mirrors em ployed in my experiments on combustion by dark rays was here made use of, but I failed in the attempt. Doubtless the floating particles are in part transparent to radiant heat, and are so far incombustible by such heat. Their rapid motion through the focus also aids their escape. They do not linger there sufficiently long to be consumed. A flame it was evident would burn them up, but I at first thought the presence of the flame would mask its own action among the particles. 1 According to an analysis kindly furnished to me by Dr. Percy, the dust collected from the walk of the British Museum contains fully 50 per cent, of inorganic matter. I have every confidence in the results of this dis tinguished chemist ; they show that the floating dust of our rooms is, as it were, winnowed from the heavier matter. As bearing directly upon this point, I may quote the following passage from Pasteur : " Mais ici sc presente une remarque : la poussiere que 1'on trouve a la surface de tous les corps est soumise constamment & des courants d'air, qui doivent sou- lever ses particules les plus legeres, au nombre desquelles se trouvent, sans doute, de preference les corpuscules organises, ceufs ou spores, moiiis lourds gcneralement que les particules minerales." 280 FRAGMENTS OF SCIENCE. In a cylindrical beam, which strongly illuminated the dust of the laboratory, was placed an ignited spirit-lamp. Mingling with the flame, and round its rim, were seen curious wreaths of darkness resembling an intensely-black smoke. On lowering the flame below the beam the same dark masses stormed upward. They were at times blacker than the blackest smoke that I have ever seen issuing from the funnel of a steamer ; and their resemblance to smoke was so perfect as to lead the most practised observer to conclude that the apparently-pure flame of the alcohol-lamp required but a beam of sufficient intensity to reveal its clouds of liberated carbon. But is the blackness smoke ? This question presented itself in a moment. A red-hot poker was placed under neath the beam, and from it the black wreaths also as cended. A large hydrogen-flame was next employed, and it produced those whirling masses of darkness far more copiously than either the spirit-flame or poker. Smoke was therefore out of the question. "What, then, was the blackness ? It was simply that of stellar space ; that is to say, blackness resulting from the absence from the track of the beam of all matter competent to scatter its light. When the flame was placed below the beam, the floating matter was destroyed in situ ; and the air, freed from this matter, rose into the beam, jostled aside the illuminated particles, and substituted for their light the darkness due to its own perfect transparency. Nothing could more forcibly illustrate the invisibility of the agent which renders all things visible. The beam crossed, un seen, the black chasm formed by the transparent air, while at both sides of the gap the thick-strewn particles shone out like a luminous solid under the powerful illumina tion. But here a rather perplexing difficulty meets us. It is not necessary to burn the particles to produce a stream of DUST AND DISEASE. 281 darkness. Without actual combustion, currents may be generated which shall exclude the floating matter, and therefore appear dark amid the surrounding brightness. I noticed this effect first on placing a red-hot copper ball be-- low the beam, and permitting it to remain there until its temperature had fallen below that of boiling water. The dark currents, though much enfeebled, were still produced. They may also be produced by a flask filled with hot water. To study this effect a platinum wire was stretched across the beam, the two ends of the wire being connected with the two poles of a voltaic battery. To regulate the strength of the current a rheostat was placed in the circuit. Beginning with a feeble current the temperature of the wire was gradually augmented ; but, before it reached the heat of ignition, a flat stream of air rose from it, which when looked at edgeways appeared darker and sharper than one of the blackest lines of Fraunhofer in the solar spec trum. Right and left of this dark vertical band the float ing matter rose' upward, bounding definitely the non-lumi nous stream of air. What is the explanation? Simply this : The hot wire rarefied the air in contact with it, but it did not equally lighten the floating matter. The con vection current of pure air therefore passed upward among the inert particles, dragging them after it right and left, but forming between them an impassable black partition. This elementary experiment enables us to render an account of the dark currents produced by bodies at a temperature be low that of combustion. When the wire is white hot, it sends up a band of in tense darkness. This, I say, is due to the destruction of the floating matter. But even when its temperature does not exceed that of boiling water, the wire produces a dark ascending current. This, I say, is due to the distribution of the floating matter. Imagine the wire clasped by the 282 FRAGMENTS OF SCIEXCE. mote-filled air. My idea is that it heats the air and lightens it, without in the same degree lightening the floating mat ter. The tendency, therefore, is to start a current of clean air through the mote-filled air. Figure the motion of the air all round the wire. Looking at its transverse section we should see the air at the bottom of the wire bending round it right and left in two branch-currents, ascend ing its sides and turning to fill the, partial vacuum created above the wire. Now as each new supply of air, filled with its motes, comes in contact with the hot wire, the clean air, as just stated, is first started through the inert motes. They are dragged after it, but there is a fringe of cleansed air in advance of the motes. The two purified fringes of tho two branch-currents unite above the wire, and, keep ing the motes that once belonged to them right and left, they form by their union the dark band observed in the experiment. This process is incessant. Always the mo ment the mote-filled air touches the wire this distribution is effected, a permanent dark band being thus produced. Could the air and the particles under the wire pass through its mass we should have a vertical current of particles, but no dark band. For here, though the motes would be left behind at starting, they would hotly follow the ascending current and thus abolish the darkness. It has been said that when the platinum wire is intensely heated, the floating matter is not only distributed, but de stroyed. Let this be proved. I stretched a wire about 4 inches long through the air of an ordinary glass shade, rest ing on its stand. Its lower rim rested on cotton-wool, which also surrounded the rim. The wire was raised to a white lu'jit by an electric em-rent. The air expanded, and some of it was forced through the cotton-wool, while, when the current was interrupted and the air within the shade cooled, the expelled air in its return did not carry motes along with it. At the beginning of this experiment the shade was DUST AND DISEASE. 283 charged with floating matter ; at the end of half an hour it was optically empty. A second experiment was thus arranged : on the wooden base of a cubical glass shade, measuring 11-J- inches a side, upright supports were fixed, and from one support to the other 38 inches of platinum wire were stretched in four parallel lines. The ends of the platinum wire were soldered to two stout copper wires, which passed through the base of the shade and could be connected with a battery. As in the last experiment, the shade rested upon cotton-wool. A beam sent through the shade revealed the suspended matter. The platinum wire was then raised to whiteness. In five minutes there was a sensible diminution of the mat ter, and in ten minutes it was totally consumed. Tin's proves that when the platinum wire is sufficiently heated, the floating matter, instead of being distributed, is destroyed. But is not the matter really of a character which permits of its destruction by the moderately-heated platinum wire ? Here is the reply : 1. A platinum tube, with its plug of platinum gauze, was connected with an experimental tube, through which a powerful beam could be sent from an electric lamp placed at its end. The platinum tube was heated till it glowed feebly but distinctly in the dark. The experimental tube was exhausted, and then filled with air which had passed through the red-hot tube. A considerable amount of float ing matter which had escaped combustion was revealed by the electric beam. 2. The tube was raised to brighter redness and the air permitted to pass slowly through it. Though diminished in quantity, a certain amount of floating matter passed into the exhausted experimental tube. 3. The platinum tube was rendered still hotter; a barely perceptible trace of the floating matter now passed through it. 284 FRAGMENTS OF SCIENCE. 4. The experiment was repeated, with the difference that the air was sent more slowly through the red-hot tube. The floating matter was totally destroyed. 5. The platinum tube was now lowered until it bordered upon a visible red heat. The air sent through it still more slowly than in the last experiment carried with it a cloud of floating matter. If, then, the suspended matter is destroyed by a bright- red heat, much more is it destroyed by a flame, whose tem perature is vastly higher than any here employed. So that the blackness introduced into a luminous beam where a flame is placed beneath it is due, as stated, to the destruc tion of the suspended matter. At a dull-red heat, how ever, and still more when only on the verge of redness, the platinum tube permitted the motes to pass freely. In the latter case the temperature was 800° or 900° Fahrenheit. This was unable to destroy the suspended matter ; much less, therefore, would a platinum wire heated to 212° be competent to do so. Such a wire can only distribute the matter, not destroy it. The floating dust is revealed by intense local illumina tion. It is seen by contrast with the adjacent illuminated space ; the brighter the illumination the more sensible is the difference. Now, the beam employed in the foregoing experiments is not of the same brightness throughout its entire transverse section, Pass a white switch, or an ivory paper-cutter, rapidly across the beam, the impression of its section will linger on the retina. The section seems to float for a moment in the air as a luminous circle, with a rim much brighter than its central portion. The core of the beam is thus seen to be enclosed by an intensely-luminous sheath. An effect complementary to this is observed when the beam is intersected by the dark band from the platinum wire. The brighter the illumination the greater must be the rela tive darkness consequent on the withdrawal of the light. DUST AND DISEASE. 285 Hence the cross-section of the sheath surrounds the dark band as a darker ring. Oxygen, hydrogen, nitrogen, carbonic acid, so prepared as to exclude all floating particles, produce the darkness when poured or blown into the beam. Coal-gas does the same. An ordinary glass shade placed in the air with its mouth downward permits the track of the beam to be seen crossing it. Let coal-gas or hydrogen enter the shade by a tube reaching to its top, the gas gradually fills the shade from the top downward. As soon as it occupies the space crossed by the beam, the luminous track is instantly abol ished. Lifting the shade so as to bring the common bound ary of gas and air above the beam, the track flashes forth. After the shade is full, if it be inverted, the gas passes up ward like a black smoke among the illuminated particles. The air of our London rooms is loaded with this organic dust, nor is the country air free from its presence. However ordinary daylight may permit it to disguise itself, a suffi ciently powerful beam causes dust suspended in air to ap pear almost as a semi-solid. Nobody could, in the first instance, without repugnance, place the mouth at the illu minated focus of the electric beam and inhale the thickly- massed dust revealed there. Nor is the repugnance abol ished by the reflection that, although we do not see the floating particles, we are taking them into our lungs every hour and minute of our lives. The Germ-Theory of Contagious Disease. There is no respite to this contact with the floating mat ter of the air ; and the wonder is, not that we should suffer occasionally from its presence, but that so small a portion of it, and even that but rarely diffused over large areas, should appear to be deadly to man. And what is this por tion ? It was some time ago the current belief that epidemic 280 FRAGMENTS OF SCIENCE. diseases generally were propagated by a kind of malaria, which consisted of organic matter in a state of motor-decay; that when such matter was taken into the body through the lungs, skin, or stomach, it had the power of spreading there the destroying process which had attacked itself. Such a power was visibly exerted in the case of yeast. A little leaven was seen to leaven the whole lump, a mere speck of matter in this supposed state of decomposition be ing apparently competent to propagate indefinitely its own decay. Why should not a bit of rotten malaria work in a similar manner within the human frame ? In 1836 a very wonderful reply was given to this question. In that year ( 'agnlard de la Tour discovered the yeast-plant, a living or ganism, which, when placed in a proper medium, feeds, grows, and reproduces itself, and in this way carries on the process which we name fermentation. By this striking discovery fermentation was connected with organic growth. Schwann, of Berlin, discovered the yeast-plant inde pendently about the same time; and in February, 1837, he also announced the important result that, when a decoction of meat is effectually screened from ordinary air, and sup plied solely with calcined air, putrefaction never sets in. Putrefaction, therefore, he affirmed to be caused by some thing derived from the air, which something could be de stroyed by a sufficiently high temperature. The results of S\vann were confirmed by the independent experiments of Helmholtz, Ure, and Pasteur, while other methods, pursued by Schultze and by Schroeder and Dusch, led to the same result. But as regards fermentation, the minds of chemists, influenced probably by the great authority of Gay-Lussac, fell back upon the old notion of matter in a state of decay. It was not the living yeast-plant, but the dead or dyini;- parts of it, which, assailed by oxygen, produced the fer mentation. This notion was finally exploded by Pasteur, lie proved that the so-called "ferments" are not such; DUST AXD DISEASE. 287 that the true ferments are organized beings, which find in the reputed ferments their necessary food. Side by side with these researches and discoveries, and fortified by them and others, has run the germ-theory of epidemic disease. The notion was expressed by Kirchcr and favored by Linngeus, that epidemic diseases are due to germs which float in the atmosphere, enter the body, and produce disturbance by the development within the body of parasitic life. While it was still struggling against great odds, this theory found an expounder and a defender in the President of this institution. At a time when most of his medical brethren considered it a wild dream, Sir Henry Holland contended that some form of the germ- theory was probably true. The strength of this theory consists in the perfect parallelism of the phenomena of con tagious disease with those of life. As a planted acorn gives birth to an oak competent to produce a whole crop of acorns, each gifted with the power of reproducing its parent-tree ; and as thus from a single seedling a whole forest may spring ; so, it is contended, these epidemic dis eases literally plant their seeds, grow, and shake abroad new germs, which, meeting in the human body their proper food and temperature, finally take possession of whole populations. There is nothing to my knowledge in pure chemistry which resembles the power of self-multiplication possessed by the matter which produces epidemic disease. If you sow wheat you do not get barley ; if you sow small pox you do not get scarlet fever, but small-pox indefinitely multiplied, and nothing else. The matter of each con tagious disease reproduces itself as rigidly as if it were (as Miss Nightingale puts it) dog or cat. *arasitic Diseases of Silk-worms. Pasteups Researches. It is admitted on all hands that some diseases are the product of parasitic growth. Both in man and lower crea- 288 FRAGMENTS OF SCIENCE. tures, the existence of such diseases has been demonstrated. I am enabled to lay before you an account of an epidemic of this kind, thoroughly investigated and successfully corn- batted by M. Pasteur. For fifteen years a plague had raged among the silk-worms of France. They had sickened and died in multitudes, while those that succeeded in spin ning their cocoons furnished only a fraction of the normal quantity of silk. In 1853 the silk culture of France pro duced a revenue of one hundred and thirty millions of francs. During the twenty previous years the revenue had doubled itself, and no doubt was entertained as to its future augmentation. The weight of the cocoons produced in 1853 was twenty-six millions of kilogrammes ; in 18G5 it had fallen to four millions, the fall entailing in the single year last mentioned a loss of one hundred millions of francs. The country chiefly smitten by this calamity happened to be that of the celebrated chemist, Dumas, now perpetual secretary of the French Academy of Sciences. He turned to his friend, colleague, and pupil, Pasteur, and besought him with an earnestness which the circumstances rendered almost personal, to undertake the investigation of the malady. Pasteur at this time had never seen a silk-worm, and he urged his inexperience in reply to his friend. But Dumas knew too well the qualities needed for such an in quiry to accept Pasteur's reason for declining it. "Je mets," said he, " un prix extreme & voir votre attention fixee sur la question qui interesse mon pauvre pays ; la misere surpasse tout ce que vous pouvez imaginer." Pamphlets about the plague had been showered upon the public, the monotony of waste-paper being broken at rare intervals by a more or less useful publication. " The Pharmacopoeia of the Silk-worm," wrote M. Cornalia in 1860, "is now as complicated as that of man. Gases, liquids, and solids have been laid under contribution. From chlorine to sulphurous acid, from nitric acid to rum, DUST AND DISEASE. 289 from sugar to sulphate of quinine — all has been invoked in behalf of this unhappy insect." The helpless cultivators, moreover, welcomed with ready trustfulness every new remedy, if only pressed upon them with sufficient hardi hood. It seemed impossible to diminish their blind confi dence in their blind guides. In 1863 the French Minister of Agriculture himself signed an agreement to pay 500,000 francs for the use of a remedy which its promoter declared to be infallible. It was tried in twelve different depart ments of France, and found perfectly useless. In no single instance was it successful. It was under these circum- .stances that M. Pasteur, yielding to the entreaties of his friend, betook himself to Alais in the beginning of June, 1865. As regards silk husbandry, this was the most im portant department in France, and it was also that which had been most sorely smitten by the epidemic. The silk-worm had been previously attacked by mus- cardine, a disease proved by Bassi to be caused by a vege table parasite. Though not hereditary, this malady was propagated annually by the parasitic spores, which, wafted by winds, often sowed the disease in places far removed from the centre of infection. Muscardine is now said to be very rare ; but for the last fifteen or twenty years a deadlier malady has taken its place. A frequent outward sign of this new disease are the black spots which cover the silk-worms, hence the name p'ebrine, first applied to the plague by M. de Quatrefages, and adopted by Pasteur. Pebrine declares itself in the stunted and unequal growth of the worms, in the languor of their movements, in their fastidiousness as regards food, and in their premature death. The track of discovery as regards the epidemic is this: In 1849 Guerin Me*neville noticed in the blood of silk-worms vibratory corpuscles which he supposed to be endowed with independent life. Filippi proved him wrong, and showed that the motion of the corpuscles was 13 LMJO FRAGMENTS OF Sl'IKNt'K. the well-known Brownian motion. But Filippi himself committed the error of supposing the corpuscles to be normal to the life of the insect. They are really the cause of its mortality — the form and substance of its disease. This was well described by Cornalia ; while Lebert and Frey subsequently found the corpuscles not only in the blood, but in all the tissues of the insect. Osimo, in 1857, discovered them in the eggs, and on this observation Yittu- diani founded, in 1859, a practical method of distinguishing healthy from diseased eggs. The test often proved falla cious, and it was never extensively applied. These corpuscles take possession of the intestinal canal, and spread thence throughout the body of the worm. They fill the silk cavities, the stricken insect often going through the motions of spinning without any material to answer to the act. Its organs, instead of being filled writh the clear viscous liquid of the silk, are packed to disten- tion by the corpuscles. On this feature of the plague Pas teur fixed his entire attention. The cycle of the silk worm's life is briefly this: From the fertile egg comes the little worm, which grows, and casts its skin. This pro cess of moulting is repeated two or throe times at subse- qjient intervals during the life of the insect. After the last moulting the worm climbs the brambles placed to receive it, and spins among them its cocoon. It passes thus into a chrysalis ; the chrysalis becomes a moth, and the moth when liberated lays the eggs which form the starting-point of a new cycle. Now Pasteur proved that the plague-cor puscles might be incipient in the egg, and escape detec tion ; they might also be germinal in the worm, and still bailie the microscope. But as the worm grows, the cor puscles grow also, becoming larger and more defined. In the aged chrysalis they are more pronounced than in the worm ; while in the moth, if either the egg or the worm from which it comes should have been at all stricken, the DUST AND DISEASE. 291 corpuscles infallibly appear, offering no difficulty of detec tion. This was the first great point made out in 1865 by Pasteur. The Italian naturalists, as aforesaid, recom mended the examination of the eggs before risking their incubation. Pasteur showed that both eggs and worms might be smitten and still pass muster, the culture of such eggs or such worms being sure to entail disaster. He made the moth his starting-point in seeking to regenerate the race. Pasteur made his first communication on this subject to the Academy of Sciences in September, 1865. It raised a cloud of criticism. Here, forsooth, was a chemist rashly quitting his proper metier and presuming to lay down the law for the physician and biologist on a subject which was eminently theirs. " On trouva etrange que je fusse si peu au courant de la question ; on m'opposa des travaux qui avaient paru depuis longtemps en Italic, dont les resultats montraient Pinutilite de mes efforts, et 1'impossibilite" d'ar- river a un resultat pratique dans la direction que je m'etais engage. Que mon ignorance fut grande au sujet des re- cherches sans nombre qui avaient paru depuis quinze an- nees." Pasteur heard the buzz, but he continued his work. In choosing the eggs intended for incubation, the cultiva tors selected those produced in the successful " educa tions " of the year. But they could not understand the frequent and often disastrous failures of their selected eggs ; for they did not know, and nobody prior to Pasteur was competent to tell them, that the finest cocoons may envelope doomed corpusculous moths. It was not, how ever, easy to make the cultivators accept new guidance. To strike their imagination, and if possible determine their practice, Pasteur hit upon the expedient of prophecy. In 1866 he inspected at St. Hippolyte-du-Fort fourteen differ ent parcels of eggs intended for incubation. Having ex amined a sufficient number of the moths which produced these eggs, he wrote out the prediction of what would oc- 292 FRAGMENTS OF SCIENCE. cur in 1867, and placed the prophecy as a sealed letter in the hands of the Mayor of St. Hippolyte. In 1867 the cultivators communicated to the mayor their results. The letter of Pasteur was then opened and read, and it was found that in twelve out of fourteen cases there was absolute conformity between his prediction and the observed facts. Many of the groups had perished to tally ; the others had perished almost totally ; and this was the prediction of Pasteur. In two out of the fourteen cases, instead of the prophesied destruction, half an aver age crop was obtained. Now, the parcels of eggs here re ferred to were considered healthy by their owners. They had been hatched and tended in the firm hope that the la bor expended on them would prove remunerative. The appli cation of the moth-test for a few minutes in 1866 would have saved the labor and averted the disappointment. Two additional parcels of eggs were at the same time submitted to Pasteur. He pronounced them healthy ; and his words were verified by the production of an excellent crop. Other cases of prophecy still more remarkable, because more circumstantial, are recorded in Pasteur's work. Pasteur subjected the development of the corpuscles to a searching investigation. With admirable skill and com pleteness he examined the various modes by which the plague is propagated. He obtained perfectly healthy worms from moths perfectly free from corpuscles, and se lecting from them 10, 20, 30, 50, as the case might be, he introduced into the worms the corpusculous matter. It was first permitted to accompany the food. Let us take a sin gle example out of many. Rubbing up a small corpuscu lous worm in water, he smeared the mixture over the mul berry-leaves. Assuring himself that the leaves had been eaten, he watched the consequences from day to day. Side by side with the infected worms he reared their fellows, keeping them as much as possible out of the wray of infec- DUST AND DISEASE. 293 tion. These constituted his " lot tcmoign," his standard of comparison. On the 16th of April, 1868, he thus infected thirty worms. Up to the 23d they remained quite well. On the 25th they seemed well, but on that day corpuscles were found in the intestines of two of them. They first form in the tunic of the intestine. On the 27th, or eleven days after the infected repast, two fresh worms were exam ined, and not only was the intestinal canal found in each case invaded, but the silk-organ itself was found charged with corpuscles. On the 28th, the twenty-six remaining worms were covered by the black spots of pebrine. On the 30th, the difference of size between the infected and non- infected worms was very striking, the sick worms being not more than two-thirds of the size of the healthy ones. On the 2d of May, a worm which had just finished its fourth moulting was examined. Its whole body was so filled with corpuscles as to excite astonishment that it could live. The disease advanced, the worms died and were examined, and on the llth of May only six out of the thirty remained. They were the strongest of the lot, but, on being searched, they also were found charged with corpuscles. Not one of the thirty worms had escaped ; a single corpusculous meal had poisoned them all. The standard lot, on the contrary, spun their fine cocoons, and two only of their moths were found to contain any trace of corpuscles, which had, doubt less, been introduced during the rearing of the worms. As his acquaintance with the subject increased, Pas teur's desire for precision augmented, and he finally gives the growing number of corpuscles seen in the field of his microscope from day to day. After a contagious repast, the number of worms containing the parasite gradually augmented until finally it became cent, per cent. The number of corpuscles would at the same time rise from 0 to 1, to 10, to 100, and sometimes even to 1,000 or 1,500 for a single field of his microscope. He then varied the mode L'Ol FRAGMENTS OF SCIENCE. of infection. He inoculated healthy worms with the cor- pusculous matter, and watched the consequent growth of the disease. He showed how the worms inoculate each other by the infliction of visible wounds with their claws. In various cases he washed the claws, and found corpuscles in the water. He demonstrated the spread of infection by the simple association of healthy and diseased worms. The diseased worms sullied the leaves by their dejections, they also used their claws, and spread infection -in both ways. It was no hypothetical infected medium that killed the worms, but a definitely-organized and isolated thing. He examined the question of contagion at a distance, and de monstrated its existence. In fact, as might be expected from Pasteur's antecedents, the investigation was exhaus tive, the skill and beauty of his manipulation finding fitting correlatives in the strength and clearness of his thought. The following quotation from Pasteur's work clearly shows the relation in which his researches stand to this great question : " Place," lie says, " the most skilful educator, even the most expert microscopist, in presence of large educations which present the symp toms described in our experiments ; his judgment will necessarily be er roneous if he confines himself to the knowledge which preceded my re searches. The worms will not present to him the slightest spot of pebrine ; the microscope will not reveal the existence of corpuscles ; the mortality of the worms will be null or insignificant ; and the cocoons leave nothing to be desired. Our observer would, therefore, conclude without hesitation that the eggs produced will be good for incubation. The truth is, on the contrary, that all the worms of these fine crops have been poisoned ; that, from the beginning, they carried in them the germ of the malady ; ready to multiply it. -df In -yond measure in the chrysa lides and the moths, thence to pass into the eggs and smite with sterility the next generation. And what is the first causvj of the evil concealed under so deceitful an exterior ? In our experiments we can, so to speak, touch it with our fingers. It is entirely the eifect of a single corpuseu- lous repast ; an effect more or less prompt according to the epoch of life of the worm that has eaten the poisoned food." DUST AND DISEASE. 295 Pasteur describes in detail his method of securing healthy eggs, which is nothing less than a mode of restor ing to France her ancient prosperity in silk husbandry. And the justification of his work is to be found in the re ports which reached him of the application, and the unpar* alleled success of his method, at the time he was putting his researches together for final publication. In France and Italy his method has been pursued with the most sur prising results. It was an up-hill fight which led to this triumph, but opposition stimulated Pasteur, and thus, with out meaning it, did good service. " Ever," he says, " since the commencement of these researches, I have been ex* posed to the most obstinate and unjust contradictions ; but I have made it a duty to leave no trace of these contests in this book." And, in reference to parasitic diseases, he uses the following weighty words : " II est au pouvoir de 1'homme de faire disparaitre de la surface du globe les maladies par- asitaires, si, comme c'estma conviction, la doctrine des gene rations spontanees est une chimere." Pasteur dwells upon the ease with which an island like Corsica, might be absolutely isolated from the silk-worm epidemic. And, with regard to other epidemics, Mr. Simon describes the extraordinary exemption of the Scilly Isles for the ten years extending from 1851 to 1860. Of the 627 registration districts of England, one only had an entire es cape from diseases which, in whole or in part, were preva lent in all the others : " In all the ten years it had not a single death by measles, nor a single death by small-pox, nor a single death by scarlet fever. And why ? Not be cause of its general sanitary merits, for it had an average amount of other evidence of unhealthiness. Doubtless, the reason of its escape was that it was insular. It was the district of the Scilly Isles • to which it was most improb able that any febrile contagion should come from without. And its escape is an approximative proof that, at least for 290 FRAGMENTS OF SCIENCE. those ten years, no contagium of measles, nor any contagium of scarlet fever, nor any contagium of small-pox, had arisen spontaneously within its limits." It may be added that there were only seven districts in England in which no death from diphtheria occurred, and that, of those seven S districts, the district of the Scilly Isles was one. S A second parasitic disease of silk-worms, called in France laflacherie, coexistent with pebrine but quite distinct from it, has also been investigated. Enough, however, has been said to send such of you as are interested in these questions to the original volumes for further information. To one important practical point M. Pasteur, in a letter written to me, directs attention : " Permettez-moi de terminer ccs quclqucs lignes que jc dois dieter, vaiiuMi que je suis par la maladie, en vous faisant observer que vous rendriez service aux Colonies de la Grandc-Bretagne en repandant la connaissance de ce livre, etdes principesque j'etablis touchant la maladie des vers a soie. Beaucoup de ces colonies pourraient cultiver le miirier avcc succes, et en jetant les yeux sur mon ouvrage vous vous convaincrez qu'il est facile aujourd'hui, non-seulement d'eloigncr la maladio , mais en outre de donner aux recoltes de la soie une prospe"rite qu'elles u'ont jamais cue." Origin and Propagation of Contagious Matter. Prior to Pasteur, the most diverse and contradictory opinions were entertained as to the contagious character of p6brine ; some stoutly affirmed it, others as stoutly denied it. But on one point all were agreed. " They believed in the existence of a deleterious medium, rendered epidemic by some occult and mysterious influence, to which was at tributed the cause of the disease." Those acquainted with medical literature will not fail to observe an instructive analogy here. \Ve have on the one side accomplished writers ascribing epidemic diseases to " deleterious media," which arise spontaneously in crowded hospitals and over DUST AND DISEASE. 297 ill-smelling drains. According to them the matter of epi demic disease is formed de novo in a putrescent atmosphere. On the other side we have writers, clear, vigorous, with well-defined ideas and methods of research, contending that the matter which produces epidemic disease comes always from a parent-stock. It behaves as germinal matter, and they do not hesitate to regard it as such. They no more believe in the spontaneous generation of such diseases than they do in the spontaneous generation of mice. Pasteur, for example, found that p£brine had been known for an in definite time as a disease among silk-worms. The develop ment of it which he combated was merely the expansion of an already existing power, the bursting into open confla gration of a previously smouldering fire. There is nothing surprising in this ; for though epidemic disease requires a special contagium to produce it, surrounding conditions must have a potent influence on its development. Common seeds may be duly sown, but the conditions of temperature and moisture may be such as to restrict or altogether pre vent the subsequent growth. Looked at, therefore, from the point of view of the germ-theory, the exceptional energy which epidemic disease from time to time exhibits is not out of harmony with the method of Nature. You some times hear diphtheria spoken of as if it were a new disease of the last twenty years ; but Mr. Simon tells me that from about three centuries ago, when tremendous epidemics of it began to rage in Spain (where it was named Garrotillo), and soon afterward in Italy, the disease has been well known to all successive generations of doctors ; and that, for instance, in or about 1758, Dr. Starr, of Liskeard, in a communication to the Royal Society, particularly described the disease, with all the characters which have recently again become familiar, but under the name of morbus stran- gulatorius, as then severely epidemic in Cornwall ; a fact the more interesting as diphtheria, in its more modern re- 298 FRAGMENTS OF SCIEX< K. appearance, again showed predilection for that remote county. Many also believe that the black death of five centuries ago, has disappeared as mysteriously as it came, but Mr. Simon finds that it is believed to be prevalent at this hour in some of the northwestern parts of India. Let me here state an item of my own experience. When I was at the Bel Alp last year the clergyman appointed to that station received letters informing him of the breaking out of scarlet fever among his children. He lived, if I re member rightly, on the healthful eminence of Dartmoor, and it was difficult to imagine how scarlet fever could have been wafted to the place. A drain ran close to his house, and on it his suspicions were manifestly fixed. Some of our medical writers would fortify him in this notion, while those of another school would deny to a drain, however foul, the powor of producing a specific disease. After close inquiry, he recollected that a hobby-horse had been used both by his boy and another that a short time previously had passed through scarlet fever. Drains and cesspools are by no means in such evil odor as they used to be. A fetid Thames and a low death-rate occur from time to time together in London. For, if the special matter or germs of epidemic disorder be not present, a corrupt atmosphere, however obnoxious otherwise, will not produce the disorder. Corrupted air may promote an epidemic, but cannot origi nate it. On the other hand, through the transport of the special germ or vims, disease may develop itself in regions win TO the drainage is good and the atmosphere pure. If you see a new thistle growing in your field you f»vl sure that its seed has been wafted thither. Just as sure does it seem that the contagious matter of scarlatina, or any other contagious fever, has been transplanted to the place where it newly appears. AYith a clearness and con- clusiveness not to be surpassed Dr. "William Budd has had been placed. This water is clear in the common light ; but in the condensed electric beam it is seen to be laden with particles, so thick-strewn and minute, as to pro duce a continuous cone of light. In passing through the air the water loaded itself with this matter, and doubtless became charged with incipient life. Let me now draw your attention to another experiment of Pasteur. He prepared twenty-one flasks, each contain ing a decoction of yeast, filtered and clear. He boiled the decoction, so as to destroy whatever germs it might contain, and while the space above the liquid was filled with pure steam he sealed his flasks with a blow-pipe. He opened ten of them in the deep, damp caves of the Paris Observatory, and eleven of them in the court-yard of the establishment. Of the former, one only showed signs of life subsequently. In nine out of the ten flasks no organisms of any kind were developed. In all the others organisms speedily ap peared. Now here is an experiment conducted in Paris ; let us see whether we cannot throw light upon it in London. I place this large flask in the beam, and you see the luminous track crossing it from side to side. The flask is filled with the air of this room, charged with its germs and its dust, and hence capable of illumination. But here is another similar flask, which cuts a clear gap out of the beam. It is DUST AND DISEASE. 313 filled with unfiltered air, and still no trace of the beam is visible. Why ? By pure accident I stumbled on this flask in our apparatus-room, where it had remained quiet for some time. Here are three other flasks which have also been kept quiet for a couple of days ; they are all optically empty. The still air of the flasks has deposited its dust, germs and all, and is itself practically free from suspended matter. Hence, manifestly, the result of Pasteur. I have had a chamber erected, the lower half of which is of wood, its upper half being enclosed by four glazed window-frames. The chamber tapers to a truncated cone at the top* It measures in plan 3 ft. by 2 ft. 6 in., and its height is 5 ft. 10 in. On the 6th of February this chamber was closed, every crevice that could admit dust, or cause displacement of the air, being carefully pasted over with paper. The electric beam at first revealed the dust within the chamber as it did in the air of the laboratory. The chamber was examined almost daily ; a perceptible diminu tion of the floating matter being noticed as time advanced. At the end of a week the chamber was optically empty, exhibiting no trace of matter competent to scatter the light. But where the beam entered, and where it quitted the chamber, the white circles stamped upon the interior sur faces of the glass showed what had become of the dust. It clung to those surfaces, and from them instead of from the air, the light was scattered. If the electric beam were sent through the air of the Paris caves, the cause of its impotence as generator of life would, I venture to predict, be revealed. These experiments illustrate the application of a lumi nous beam to researches of this kind. They prove that the germs which produce infusorial and fungoid life share the fate of the ordinary visible dust with which they are inter mixed ; that such germs attach themselves to the sides of vessels, and fall gradually to the bottom of spaces filled with perfectly still air. But I will now turn to a far more 14 314 FRAGMENTS OF SCIENCE. interesting application of the luminous beam than any hitherto described. My reference to Professor Lister's interpretation of the fact that air which has passed through the lungs cannot produce putrefaction is fresh in your mem ories. He there assumed that the air was rendered innocu ous by the filtering action of the lungs. Can this filtering process be taken out of the region of assumption and placed in that of demonstration ? It can. Here is the concentrated beam with which we operated at the commencement of this discourse. Its track through the dust is luminous, and you have seen the blackness in troduced when the dust is burnt, or otherwise removed. I fill my lungs with ordinary air and breathe through a glass tube across the beam. The condensation of the aqueous vapor of the breath is here shown by the formation of a luminous white cloud of delicate texture. It is necessary to abolish this cloud, and this may be done by drying the breath previous to its entering the beam ; or, still more simply, by warming the glass-tube. When this is done the luminous track of the beam is for a time uninterrupted, because the dust returning from the lungs makes good, in great part, the particles displaced. After some time, how ever, an obscure disk appears in the beam, the darkness of which increases, until finally, toward the end of the expira tion, the beam is, as it were, pierced by an intensely black hole, in which no particles whatever can be discerned. The deeper air of the lungs is absolutely free from suspended matter. It is therefore in the precise condition required by Professor Lister's explanation. This experiment may'be repeated any number of times with the same result. I think it must be regarded as a crowning piece of evidence both of the correctness of Professor Lister's views and of the impotence, as regards vital development, of optically pure air, DUST AND DISEASE. 315 CoUon-wool Respirator. I now empty my lungs as perfectly as possible, and placing a handful of cotton-wool against my mouth and nostrils, inhale through it. There is no difficulty in thus filling the lungs with air. On expiring this air through a glass tube, its freedom from floating matter is at once manifest. From the very beginning of the act of expira tion the beam is pierced by a black aperture. The first puff from the lungs abolishes the illuminated dust, and puts a patch of darkness in its place ; and the darkness con tinues throughout the entire course of the expiration. When the tube is placed below the beam and moved to and fro, the same smoke-like appearance as that obtained with a flame is observed. In short, the cotton-wool, when used in sufficient quantity, and with due care, completely intercepts the floating matter on its wray to the lungs.1 The application of these experiments is obvious. If a physician wishes to hold back from the lungs of his patient, or from his own, the germs or virus by which contagious disease is propagated, he will employ a cotton-wool res pirator. If perfectly filtered, attendants may breathe the air unharmed. In all probability the protection of the lungs and mouth will be the protection of the entire system. For it is exceedingly probable that the germs which lodge in the air-passages, or find their way with the saliva into the stomach with its absorbent system, are those which sow in 1 Since the first publication of these results, Professor Lister has availed himself of the filtering power of cotton-wool in the treatment of wounds. He first destroys the germs adhering to the wool, and by a proper lotion kills those that may be scattered on the flesh. The cleansed wool placed upon the wound permits of a free diffusion of the air, but entirely intercepts the germs, and thus keeps the blood perfectly sweet. It is here essential that no matter from the wound should reach the out side air, for such matter would open a highway to the organisms. 316 FRAGMENTS OF SCIENCE. the body epidemic disease. If this be so, then disease can be warded off by carefully-prepared filters of cotton-wool. I should be most willing to test their efficacy in my own person. But apart from all doubtful applications, it is per fectly certain that various noxious trades in England may be rendered harmless by the use of such niters. I have had conclusive evidence of this from people engaged in such trades. A form of respirator devised by Mr. Garrick, a hotel proprietor in Glasgow, in which inhalation and ex halation occur through two different valves, the one per mitting the air to enter through the cotton-wool, and the other permitting the exit of the air direct into the atmos phere, is well adapted for this purpose. But other forms might readily be devised. Fireman's Respirator. Smoke is often the fireman's greatest obstacle in his efforts to save life ; I thought, therefore, of inventing a res pirator for the use of firemen. Schroeder was the first to use cotton-wool as a filter. To catch the atmospheric germs, M. Pouchet employed a film of adhesive glycerine spread upon glass ; while Dr. Stenhouse turned charcoal to important account in respirators. By a combination of all three a respirator of peculiar efficacy is obtained. For the smoke of dried leaves the cotton-wool alone was found an adequate protection ; but for the far more pungent smoke of resinous deal it was found totally inadequate. At the suggestion of a friend I moistened the wool with glycerine, and found it a great improvement. It was the notion of Pouchet in another form. Still about five minutes in dense smoke was all that could be endured. I then associated fragments of charcoal with the moistened cotton ; the effect was excellent.1 Armed with a respirator of this kind, one 1 Mr. Ladd, of Beak Street, makes these respirators. DUST AND DISEASE. 317 can breathe without annoyance in a space so crammed with smoke, that a single inhalation without the respirator would be intolerable. I wrote to the chief officer of the Metropolitan Fire Brigade, asking him whether such a res pirator would be useful. He replied to me that it would, but added that he was aware of every invention of the kind in all the countries of Europe, and that none had been found of any use. At my invitation he was kind enough to come to the Royal Institution with two firemen and an assistant. The three latter, wearing such respirators, went in succession into the smoke-filled space, and on returning, stated that they had not experienced the slightest discom fort, that they could have remained there all day long. Captain Shaw himself repeated the experiment with the same result. I am confident that sooner or later this res pirator will be employed, to the great benefit of a class of men' whose actions in critical circumstances I have often had occasion to admire. Application of Luminous Seams to Water. The method of examination here pursued is also appli cable to water. It is in some sense complementary to that of the microscope, and may I think materially aid inquiries conducted with that instrument. In microscopic examina tion attention is directed to a small portion of the liquid, and the aim is to detect the individual suspended particles. By the present method a large portion o'f the liquid is il luminated, its general condition being revealed, through the light scattered by suspended particles. Care is taken to defend the eye from the access of all other light, and, thus defended, it becomes an organ of inconceivable deli cacy. Indeed, an amount of impurity so infinitesimal as to be scarcely expressible in numbers, and the individual par ticles of which are so small as wholly to elude the micro- 318 FRAGMENTS OF SCIENCE. scope, may, when examined by the method alluded to, pro duce not only sensible but striking effects upon the eye. I take, for instance, this bottle of water intended to quench your lecturer's thirst. In the track of the beam it simply reveals itself as dirty water. So you see that we are invaded with dirt not only in the air we breathe, but in the water we drink. And this water is no worse than the other London waters. Thanks to the kindness of Pro fessor Frankland, I have been furnished with specimens of the water of eight London companies. They are all laden with impurities mechanically suspended. But you will ask whether filtering will not remove the suspended matter ? The grosser matter, undoubtedly, but not the more finely- divided matter. Here is water which has been passed four times through a filter of bibulous paper, but it is still laden with fine matter. Here, also, is a bottle kindly sent me by Mr. Lipscomb, and passed once through his charcoal filter. But the track of the beam through it is more luminous than through air, because the quantity of matter suspended in the water is greater than that suspended in air. Here is another specimen courteously sent to me by the Silicated Carbon Company. All the grosser matter has been re moved, but it is thick with fine matter. Nine-tenths of the light scattered by these particles is perfectly polarized in a direction at right angles to the beam, and this release of the particles from the ordinary law of polarization is a demonstration of their smallness. I should say by far the greater number of the particles concerned in this scattering are wholly beyond the range of the microscope, and no or dinary filter can intercept them. There is an aesthetic pleasure in the drinking of a glass of cold sparkling water, and I fear these experiments will destroy this pleasure if you ever enjoyed it. And it is next to impossible by arti ficial means to produce pure water. Mr. Hartley, for ex ample, some time ago distilled water while it was sur- DUST AND DISEASE. 319 rounded by hydrogen, but the water was not free from floating matter. It is so hard to be clean in the midst of dirt. Here, however, is an approach to pure water. It is from the Lake of Geneva, and the bottle was carefully filled for me by my distinguished friend Soret. The track of the beam through it is of a delicate sky blue ; there is scarcely a trace of grosser matter. The purest water that I have seen — probably the purest which has been seen hitherto — has been obtained from the fusion of selected specimens of ice. But extraordinary precautions are required to obtain this degree of purity. An apparatus was devised and constructed by my assistant for this purpose. Through the plate of an air-pump passes the shank of a large funnel, attached to which below the plate is a glass bulb. In the funnel is placed a block of the most transparent ice, and over the funnel is a glass receiver. This is first exhausted and refilled several times with air, which has been filtered by its passage through cotton-wool, the ice being thus surrounded by pure moteless air. But the ice has previously been in contact with mote-filled air ; it is, therefore, necessary to let it wash its own face, and wash the bulb which is to receive the water of liquefaction. The ice is permitted to melt, the bulb is filled and emptied several times, until finally the large block dwindles to a small one. We may be sure that all impurity has been thus removed from the surface of the ice. These two bulbs contain water obtained in this way, the purity of which is the maximum hitherto attained. Still I should hesitate to call the water absolutely pure. When the concentrated beam is sent through it the track of the beam is not invis ible, but of the most exquisitely delicate blue. This blue is purer than that of the sky, so that the matter which pro duces it must be finer than that of the sky. It may be, and indeed has been, contended that this blue is scattered by the very molecules of the water, and not by matter sus- 320 FRAGMENTS OF SCIENCE. pendcd in it. But when we remember that this perfection of blue is approached gradually through stages of less per fect blue; and when we consider that a blue in all re spects similar is demonstrably obtainable from particles mechanically suspended, we should hesitate, I think, to conclude that we have arrived here at the last stage of pu rification. The evidence, I think, points distinctly to the conclusion that, could we push the process of purification still further, even this last delicate trace of blue would dis appear. Chalk - Water. Clartfs Softening Process. But is it not possible to match the water of the Lake of Geneva here in England ? Undoubtedly it is. We have in England a kind of rock which constitutes at once an ex ceedingly clean recipient and a natural filter, and from wrhich we can obtain water extremely free from mechanical im purities. I refer to the chalk-formation, in which large quantities of water are held in store. Our chalk-hills are in most cases covered with thin layers of soil, and with very scanty vegetation. Neither opposes much obstacle the entry of the rain into the chalk, where any organic impurity which the water may carry in is soon oxidized and rendered harmless. Those who have scampered like myself over the downs of Hants and Wilts will remember the scarcity of water in these regions. In fact, the rain fall, instead of washing the surface and collecting in streams, sinks into the fissured chalk and percolates through it, and when this formation is suitably tapped we obtain water of exceeding briskness and purity. Here is a large globe filled with the water of a well near Tring. It is wonderfully free from mechanical impurity ; indeed, it stands to reason that water wholly withdrawn from surface contamination and percolating through so clean a substance should be pure. Sending a beam through this glass of water its purity is DUST AND DISEASE. 321 conspicuous ; you see the track of the beam, but it is not the thick and muddy track revealed in London waters. It has been a subject much debated whether the supply of excellent water which the chalk holds in store could not be rendered available for London. Many of the most eminent engineers and chemists have ardently recommended this source, and have sought to show that not only is its purity unrivalled, but that its quantity is practically inex haustible. Data sufficient to test this are now, I believe, in existence ; the number of wells sunk in the chalk is so considerable and the quantity of water which they yield is so well known. But this water, so admirable as regards freedom from mechanical impurity, labors under the disadvantage of being very hard. It is rendered hard by the large quantity of carbonate of lime which it holds in solution. The chalk- water in the neighborhood of Watford holds in solution about seventeen grains of carbonate of lime per gallon. This, in the old terminology, used to be called seventeen degrees of hardness. Now this hard water is bad for tea, bad for washing ; it furs your boilers, because the lime held in solution is precipitated by boiling. If the water be used cold, its hardness must be neutralized at the expense of soap before it will give a lather. These are serious ob jections to the use of chalk-water in London. But they are now successfully met by the experimental demonstration that such water can be softened inexpensively, and on a grand scale. I had long known the method of softening water called Clark's process, but not until recently, under the guidance of Mr. Homersham, did I see proof of its larger applications. The chalk-water is softened for the supply of the city of Canterbury ; at the Chiltern Hills it is softened for the supply of Tring and Aylesbury. Carter- ham also enjoys the luxury. I have visited all these places, and made myself ac- 322 FRAGMENTS OF SCIENCE. quainted with the works. At Canterbury there are three reservoirs covered in and protected by a concrete roof and layers of pebbles both from the summer's heat and the win ter's cold. Each reservoir contains 120,000 gallons of chalk- water. Adjacent to these reservoirs are others containing pure slacked lime — the so-called " cream of lime." These are filled with water, the lime and water being thoroughly mixed by air forced in by an engine through apertures in the bottom of the reservoir. The water thus well mixed with the lime soon dissolves all of this substance that it is capable of dissolving. The lime is then allowed to subside to the bottom, leaving a perfectly clear lime-water behind. The object is now to soften the chalk-water. Into the empty reservoir is introduced a certain quantity of the clear lime-water, and after this about nine times the quantity of the chalk-water. The transparency immediately disappears — the mixture of the two clear liquids becomes thickly turbid. The carbonate of lime is precipitated, and the precipitate is permitted to subside ; it is crystalline and heavy, and there fore sinks rapidly. In about twelve hours you find a layer of pure white carbonate of lime at the bottom of the reservoir, with a water of extraordinary beauty and purity overhead. A few days ago I pitched some halfpence into a reservoir sixteen feet deep at the Chilton Hills. The sixteen feet hardly perceptibly dimmed the coin. Had I cast a pin in, it could, I am persuaded, have been seen at the bottom. By this process of softening the water is reduced from about seventeen degrees of hardness to three degrees of hardness. It yields a lather immediately. Its temperature is constant throughout the year. In the hottest summer it is cool, its temperature being 20° above the freezing-point; and it does not freeze in winter if conveyed in proper pipes. It is not exposed to the contamination of either earth or air. The reservoirs are covered ; a leaf cannot blow into the water, no surface cnntiunination can reach it, it passes di- DUST AND DISEASE. 323 rect from the main into the house-tap ; no cisterns are em ployed, the supply is always fresh and pure. It is highly charged with air. This is the kind of water which is sup plied to the fortunate people of Tring, Caterham, and Can terbury. Let me, in conclusion, remind you that I do not con sider the floating matter revealed by the electric beam to be all living matter. I believe that only in exceptional cases, such as those cited in the excellent reports of Dr. Angus Smith, does the quantity of living matter suspended in the air of our streets and rooms amount to more than a small fraction of the total dust. But I believe it to be perfectly well established that, during epidemics, air and water are charged with the specific " materies morbi " by which the disease is spread ; that these two media are, in fact, the chief vehicles of its dissemination. I believe there are the strongest grounds for holding the contagious matter to be " particulate," and further, that the particles are to all in tents and purposes germs / exhibiting as they do the fun damental characteristic of propagating their own kind through countless generations, and over vast geographical areas. Their life and reproduction run parallel to, and are an incident of the life of man himself. I do not doubt the ability of these particles to scatter light, nor that the means by which the visible floating dust of our air is arrested, and which demonstrably arrest with it the germs of various forms of fungoid and animalcular life, including those con cerned in the phenomena of putrefaction, will also be found effectual in arresting contagium. The following extract from a private letter written to me by Dr. William Budd, is so important, and its reasoning is so cleat, that I asked and obtained the permission of its exceedingly able writer to publish it : " Another point of great practical importance is, as far 324 FRAGMENTS OF SCIENCE. as possible, to appraise the respective shares which air and water take in the great act of distribution. That both cholera and typhoid fever are sometimes disseminated by drinking-water has been amply proved. I have myself re lated many instances of the fact, and have in my notes the record of many others still more striking. But that water is the sole or even the chief vehicle of cholera and typhoid is a notion which, if I may trust my own experience, facts do not warrant. " Limiting myself, for the moment, to the case of typhoid, I am in a position to state that all the worst and most wide spread outbreaks of that fever which I have ever witnessed, have occurred among communities supplied by drinking- water which was absolutely blameless. Two illustrations will suffice. " I live in a town in which the divorce between sewage and drinking-water has long been consummated. Bristol is supplied with drinking-water which from its source in the Mendips to the tap from wrhich it is delivered under high pressure to the consumer, flows through conduits out of all reach of sewage contamination. " And yet typhoid fever has not only not ceased to exist in Bristol, but about eight or ten years ago (before the appointment of a health-officer), there occurred in the Parish of St. James one of the worst outbreaks of this fever which I have ever seen in the city. In the course of a circuit which I took one morning with the late Dr. Pring (at that time Poor Law Medical Officer) I saw within a compara tively small area more than eighty cases of the disease. " Now, with the exception of a single household, all the patients were drinking the Mendip water ; the very same \vat«-r which, as far as fever is concerned, more than 150,000 of their fellow-citizens outside the infected area were drink ing with absolute impunity. " Some four or five years ago I was sent for to advise DUST AND DISEASE. 325 what measures should be taken to stay an outbreak of typhoid fever which had occurred in a large convent about two miles from Bristol. The inmates were divided into three distinct divisions ; the largest being a reformatory for girls, who occupied the central block of the building. Into this reformatory the fever was brought by a girl already suffering from it, and who had contracted it in a sea-side place more than twenty miles off. From this girl the dis ease spread until, at the date of my visit, more than fifty girls were lying ill of it. From first to last the fever was confined to the reformatory girls, and to persons in immedi ate attendance upon them. " Now, the facts as to the drinking-water were these : " 1. The water was proved by examination of the well, and by chemical analysis, to be entirely free from sewage contamination. " 2. The inmates of another large division of the con vent, who remained entirely free from fever, drank the same water as the girls among whom fever was raging like a plague. " 3. From the very time when disinfection was brought to bear on the excreta the disease ceased to spread, although the inmates of the infected division continued to drink the same water as before. " Lastly, nothing has since been done to the well — the water remains what it was — but no fever has occurred in the convent since. " The evidence in both these cases is, as you see, of that crucial, decisive order that admits of no reply. " They show, at least, that typhoid fever may do its worst where drinking-water takes absolutely no part in the distribution of the poison. "But if water be excluded, the air is the only other possible vehicle by which a poison generated in the living body can find its way back to other living bodies on a scale ,126 FRAGMENTS OF SCIENCE. sufficiently large to cause the resulting disease to assume an epidemic form. " I may remark further that the infection of the air in these two cases was obviously not the work of chance, but only represented the effect of agencies which are always in operation where this fever prevails. " The phenomenon is, in fact, merely the expression of a general law. " The germs cast off in the liquid excreta of contagious diseases rise into the air by no power of their own, but in virtue of the very same physical conditions which cause the germs of the great tribe of Infusoria, which, as their name bespeaks, breed in liquids, to rise in swarms into the same medium. " If there were time or need, I could show, by evidence quite as decisive, that all these statements apply equally to cholera also. " I do not know that there is any thing in these data to suggest additional matter for your essay, but I have thought it worth while to bring them under your notice, harmoniz ing as they do with your own investigations which show by such striking phenomena that air and water arc equally objects of distrust. " As to the germ-theory itself, that is a matter on which I have long since made up my mind. From the day when I first began to think upon these subjects, I have never had a doubt that the specific cause of contagious fevers must be living organisms. " It is impossible, in fact, to make any statement bearing upon the essence or distinctive characters of these fevers, without using terms which are of all others the most distinc tive of life. Take up the writings of the most violent oppo nent of the germ-theory, and, ten to one, you will find them full of such terms as ' propagation,' ' self-propagation,' l re production,' * self-multiplication,' and so on. Try as he DUST AND DISEASE. 327 may — if he has any thing to say of these diseases which is characteristic of them — he cannot evade the use of these terms or the exact equivalents of them. While perfectly applicable to life and to living things, these terms express qualities which are not only inapplicable to common chemi cal agents, but, as far as I can see, actually inconceivable of them." XII. LIFE AND LETTERS OF FARADAY. BY DR. HENRY BENCE JONES. [The Academy for May and June, 1870.] Fame is the spur that the clear spirit doth raise (That last infirmity of noble minds) To scorn delights and live laborious days ; But the fair guerdon when we hope to find, And think to burst out into sudden blaze, Comes the blind fury with the abhorred shears, And slits the thin-spun life. But not the praise Phoebus replied, and touched my trembling ears ; Fame is no plant that grows on mortal soil, Nor in the glistering foil Set off to the world, nor in broad rumor lies, But lives and spreads aloft by those pure eyes And perfect witness of all-judging Jove." MILTON. XII. LIFE AND LETTERS OF FARADAY. UNDERTAKEN and executed in a reverent and loving spirit, the work of Dr. Bence Jones makes Faraday the virtual writer of his own life. Everybody now knows the story of the philosopher's birth; that his father was a smith ; that he was born at Newington Butts in 1791 ; that he slid along the London pavements, a bright-eyed errand-boy, with a load of brown curls upon his head and a packet of newspapers under his arm ; that the lad's master was a bookseller and bookbinder — a kindly man, who became attached to the little fellow and in due time made him his 'apprentice without fee ; that during his appren ticeship he found his appetite for knowledge provoked and strengthened by the books he stitched and covered. Thus he grew in wisdom and stature to his year of legal man hood, when he appears in the volumes before us as a writer of letters, which reveal his occupation, acquirements, and tone of mind. His correspondent was Mr. Abbott, a mem ber of the Society of Friends, who, with a forecast of his friend's greatness, preserved his letters and produced them at the proper time. In later years Faraday always carried in his pocket a blank card on which he jotted down in pencil his thoughts and memoranda. He made his notes in the laboratory, in the theatre, and in the streets. This distrust of his memory reveals itself in his first letter to Abbott. To a 332 FRAGMENTS OF SCIENCE. proposition that no new inquiry should be started between them before the old one had been exhaustively discussed, Faraday objects. " Your notion," he says, " I can hardly allow, for the following reason : ideas and thoughts spring up in my mind which are irrevocably lost for want of noting at the time." Gentle as he seemed, he wished to have his own way, and he had it throughout his life. Differences of opinion sometimes arose between the two friends, and then they resolutely faced each other. "I accept your offer to fight it out with joy, and shall in the battle of experience cause not pain, but, I hope, pleasure." Faraday notes his own impetuosity, and incessantly checks it. There is at times something mechanical in his self- restraint. In another nature it would have hardened into mere " correctness " of conduct ; but his overflowing affec tions prevented this in his case. The habit became a second nature to him at last, and lent serenity to his later years. In October, 1812, he was engaged by a Mr. De la Roche as a journeyman bookbinder ; but the situation did not suit him. His master appears to have been an austere and passionate man, and Faraday was to the last degree sensitive. All his life he continued so. He suffered at times from dejection ; and a certain grimness, too, pervaded his moods. " At present," he writes to Abbott, " I am as serious as you can be, and would not scruple to speak a truth to any human being, whatever repugnance it might give rise to. Being in this state of mind, I should have refrained from writing to you, did I not conceive from the general tenor of your letters that your mind is, at proper times, occupied upon serious subjects to the exclusion of those that are frivolous." Plainly he had fallen into that stern Puritan mood which not only crucifies the flesh, affec tions, and lusts of him who harbors it, but is often a cause of disturbed digestion to his friends. About three months after his engagement with De la FARADAY. 333 Roche, Faraday quitted him and bookbinding together. He had heard Davy, copied his lectures, and written to him entreating to be released from trade, which he hated, and enabled to pursue science. Davy recognized the merit of his correspondent, kept his eye upon him, and when oc casion offered, drove to his door and sent in a letter offer ing him the post of assistant in the laboratory of the Royal Institution. He was engaged upon March 1, 1812, and on the 8th we find him extracting the sugar from beet-root. He joined the City Philosophical Society which had been founded by Mr. Tatum in 1808. "The discipline was very sturdy, the remarks very plain, and the results most valu able." Faraday derived great profit from this little asso ciation. In the laboratory he had a discipline sturdier still. Both Davy and himself were at this time cut and bruised by explosions of chloride of nitrogen. One explosion was so rapid " as to blow my hand open, tear away a part of one nail, and make my fingers so sore that I cannot use them easily." In another experiment " the tube and re ceiver were blown to pieces ; I got a cut on the head, and Sir Humphry a bruise on his hand." And again, speaking of the same substance, he says : " "When put in the pump and exhausted, it stood for a moment, and then exploded with a fearful noise. Both Sir H. and I had masks on, but I escaped this time the best. Sir H. had his face cut in two places about the chin, and a violent blow on the fore head struck through a considerable thickness of silk and leather." It was this same substance that blew out the eye of Dulong. Over and over again, even at this early date, we can discern the quality which, compounded with his rare intel lectual power, made him a great experimental philosopher. This was his desire to see facts, and not to rest contented with the descriptions of them. He frequently pits the eye against the ear, and affirms the enormous superiority of the S3 4 FRAGMENTS OF SCIENCE. organ of vision. Late in life I have heard him say that he could never have fully understand an experiment until he had seen it. But he did not confine himself to experiment. He aspired to be a teacher, and reflected and wrote upon the method of scientific exposition. " A lecturer," he ob serves, " should appear easy and collected, undaunted and unconcerned : " still " his whole behavior should evince respect for his audience." These recommendations were afterward in great part embodied by himself. I doubt his unconcern, but his fearlessness was often manifested. It used to rise within him as a wave, which carried both him and his audience along with it. On rare occasions also, when he felt himself and his subject hopelessly unin telligible, he suddenly evoked a certain recklessness of thought, and without halting to extricate his bewildered followers, he would dash alone through the jungle into which he had unwittingly led them ; thus saving them from ennui by the exhibition of a vigor which, for the time being, they could neither share nor comprehend. In October, 1813, he quitted England with Sir Hum phry and Lady Davy. During hie absence he kept a journal, from which copious and interesting extracts have been made by Dr. Bence Jones. Davy was considerate, preferring at times to be his own servant rather than impose on Faraday duties which he disliked. But Lady Davy was the reverse. She treated him as an underling ; he chafed under the treatment, and was often on the point of returning home. They halted at Geneva. De la Rive the elder had known Davy in 1799, and by his writings in the " Bibliotheque Britannique," had been the first to make the English chemist's labors known abroad. He welcomed Davy to his country residence in 1814. Both were sports men, and they often went out shooting together. On these occasions Faraday charged Davy's gun, while De la Hive charged his own. Once the Gcnevese philosopher found FARADAY. 335 himself by the side of Faraday, and in his frank and genial way entered into conversation with the young man. It was evident that a person possessing such a charm of manner and such high intelligence could be no mere servant. On inquiry De la Rive was somewhat shocked to find that the soi-disant domestique was really preparateur in the labora tory of the Royal Institution : and he immediately proposed that Faraday thenceforth should join the masters instead of the servants at their meals. To this Davy, probably out of weak deference to his wife, objected ; but an arrangement was come to that Faraday thenceforward should have his food in his own room. Rumor states that a dinner in honor of Faraday was given by De la Rive. This is a delusion ; there was no such banquet ; but Faraday never forgot the kindness of the friend who saw his merit when he was a mere gar$on de laboratoire.1 He returned in 1815 to the Royal Institution. Here he helped Davy for years ; he worked also for himself, and lectured frequently at the City Philosophical Society. He took lessons in elocution, happily without damage to his natural force, earnestness, and grace of delivery. He was never pledged to theory, and he changed in opinion as knowledge advanced. With him life was growth. In those early lectures we hear him say, " In knowledge, that man only is to be contemned and despised who is not in a state of transition." And again, " Nothing is more difficult and requires more caution than philosophical deduction, nor is there any thing more adverse to its accuracy than fixity of opinion." Not that he was wafted about by every wind of 1 While confined last autumn at Geneva by the effects of a fall in the Alps, my friends, with a kindness I can never forget, did all that friend ship could suggest to render my captivity pleasant to me. M. de la Rive then wrote out for me the full account, of which the foregoing is a con densed abstract. It was at the desire of Dr. Bence Jones that I asked him to do so. The rumor of a banquet at Geneva illustrates the ten dency to substitute for the youth of 1814 the Faraday of later years. 33G FRAGMENTS OF SCIENCE. doctrine ; but that he united flexibility with his strength. In striking contrast with this intellectual expansiveness is his fixity in religion, but this is a subject which cannot be discussed here. Of all the letters published in these volumes none possess a greater charm than those of Faraday to his wife. Here, as Dr. Bence Jones truly remarks, " he laid open all his mind and the whole of his character, and what can be made known can scarcely fail to charm every one by its loveliness, its truthfulness, arid its earnestness." Abbott and he sometimes swerved into word-play about love ; but up to 1820, or thereabouts, the passion was potential merely. Faraday's journal, indeed, contains entries which show that he took pleasure in the assertion of his contempt for love ; but these very entries became links in his destiny. It was through them that he became acquainted with one who inspired him with a feeling which only ended with his life. His biographer has given us the means of tracing the varying moods which preceded his acceptance. They reveal more than the common alternations of light and gloom ; at one moment he wishes that his flesh might melt and he become nothing ; at another he is intoxicated with hope. The impetuosity of his character was then unchastened by the discipline to which it was subjected in after-years. The very strength of his passion proved for a time a bar to its advance, suggesting as it did to the conscientious mind of Miss Barnard doubts of her capability to return it with adequate force. But they met again and again, and at each successive meeting he found his heaven clearer, until at length he was able to say, " Not a moment's alloy of this evening's happiness occurred. Every thing was delightful to the last moment of my stay with my companion, because she was so." The turbulence of doubt subsided, and a calm and elevating confidence took its place. " What can I call myself," ho writes to hor in a subsequent letter, " to convey FARADAY. 337 most perfectly my affection and love for you ? Can I or can truth say more than that for this world I am yours ? " Assuredly he made his profession good, and no fairer light falls upon his character than that which reveals his relations to his wife. Never, I believe, existed a manlier, purer, steadier love. Like a burning diamond it continued to shed for six-and-forty years its white and smokeless glow. Faraday was married on June 12, 1821 ; and up to this date Davy appears throughout as his friend. Soon after ward, however, disunion occurred between them, which, while it lasted, must have given Faraday intense pain. It is impossible to doubt the honesty of conviction with which this subject has been treated by Dr. Bence Jones, and there may be facts knowTi to him, but not appearing in these volumes, which justify his opinion that Davy in those days had become jealous of Faraday. This, which is the preva lent belief, is also reproduced in an excellent article in the March number of Fraser's Magazine. But the best analysis I can make of the data fails to present Davy in this light to me. The facts, as I regard them, are briefly these : In 1820, Oersted, of Copenhagen, made the celebrated discovery which connects electricity with magnetism, and immediately afterward the acute mind of Wollaston per ceived that a wire carrying a current ought to rotate round it own axis under the influence of a magnetic pole. In 1821 he tried, but failed, to realize this result in the laboratory of the Royal Institution. Faraday was not pres ent at the moment, but he came in immediately afterward, and heard the conversation of Wollaston and Davy about the experiment. He had also heard a rumor of a wager that Dr. Wollaston would eventually succeed. This was in April. In the autumn of the same year Faraday wrote a history of electro-magnetism, and repeated for himself the experiments which he described. It was 15 338 FRAGMENTS OF SCIENCE. while thus instructing himself that he succeeded in causing a wire carrying an electric current to rotate round a mag netic pole. This was not the result sought by Wollaston, but it was closely related to it. The strong tendency of Faraday's mind to look upon the reciprocal actions of natural forces gave birth to his greatest discoveries ; and we, who know this, should be justified in concluding that, even had Wollaston not pre ceded him, the result would have been the same. But in judging Davy we ought to transport ourselves to his time, and carefully exclude from our thoughts and feelings that noble subsequent life which would render simply impossible the ascription to Faraday of anything unfair. It would be unjust to Davy to put our knowledge in the place of his, or to credit him with data which he could not have pos sessed. Rumor and fact had connected the name of Wol laston with these supposed interactions between magnets and currents. When, therefore, Faraday in October pub lished his successful experiment without any allusion to Wollaston, general, though really ungrounded, criticism followed. I say ungrounded because, firstly, Faraday's ex periment was not that of Wollaston, and secondly, Faraday, before he published it, had actually called upon Wollaston, and not finding him at home did not feel himself authorized to mention his name. In December Faraday published a second paper on the same subject, from which, through a misapprehension, the name of Wollaston was also omitted. Warburton and others thereupon affirmed that Wollaston's ideas had been appropriated without acknowledgment, and it is plain that Wollaston himself, though cautious in his utterance, was also hurt. Censure grew till it became intolerable. "I hear," writes Faraday to his friend Stodart, " every day more and more of these sounds, which, though only whis pers to me, arc, I suspect, spoken aloud among scientific FARADAY. 339 men." He might have written explanations and defences, but he went straighter to the point. He wished to see the principals face to face — to plead his cause before them per sonally. There is a certain vehemence in his desire to do this. He saw Wollaston, he saw Davy, he saw Warbur- ton ; and I am inclined to think that it was the irresistible candor and truth of character which these viva voce de fences revealed, as much as the defences themselves, that disarmed resentment at the time. As regards Davy, another cause of dissension arose in 1823. In the spring of that year Faraday analyzed the hydrate of chlorine, a substance once believed to be the element chlorine, but .proved by Davy to be a compound of that element and water. The analysis was looked over by Davy, who then and there suggested to Faraday to heat the hydrate in a closed glass tube. This was done, the substance was decomposed, and one of the products of de composition was proved by Faraday to be chlorine liquefied by its own pressure. On the day of its discovery he com municated this result to Dr. Paris. Davy, on being in formed of it, instantly liquefied another gas in the same way. Having struck thus into Faraday's inquiry, ought he not to have left the matter in Faraday's hands ? I think he ought. But, considering his relation to both Faraday and the hydrate of chlorine, Davy, I submit, may be excused for thinking differently. A father is not always wise enough to see that his son has ceased to be a boy, and estrange ment on this account is not rare ; nor was Davy wise enough to discern that Faraday had passed the mere assistant stage and become a discoverer. It is now hard to avoid magnifying this error. But had Faraday died or ceased to work at this time, or had his subsequent life been devoted to money-getting instead of to research, would anybody now dream of ascribing jealousy to Davy ? Assuredly not. Why should he be jealous ? His reputation at this 340 FRAGMENTS OF SCIENCE. time was almost without a parallel : his glory was without a cloud. He had added to his other discoveries that of Faraday, and after having been his teacher for seven years, his language to him was this : " It gives me great pleasure to hear that you are comfortable at the Royal Institution, and I trust that you will not only do something good and honorable for yourself, but also for science." This is not the language of jealousy, potential or actual. But the chlorine business introduced irritation and anger, to which, and not to any ignobler motive, Davy's opposition to the election of Faraday to the Royal Society is, I am per suaded, to be ascribed. These matters are touched upon with perfect candor and becoming consideration in the volumes of Dr. Bence Jones, but in " society " they are not always so handled. Here a name of noble intellectual associations is surrounded by injurious rumors which I would willingly scatter for ever. The pupil's magnitude and the splendor of his posi tion are too great and absolute to need as a foil the humilia tion of his master. Brothers in intellect, Davy and Fara day, however, could never have become brothers in feeling ; their characters were too unlike. Davy loved the pomp and circumstance of fame, Faraday the inner consciousness that he had fairly won renown. They were both proud men. But with Davy pride projected itself into the outer world, while with Faraday it became a steadying and dig nifying inward force. In one great particular they agreed. Each of them could have turned his science to immense commercial profit, but neither of them did so. The noble excitement of research, and the delight of discovery, con stituted their reward. I commend them to the reverence which great gifts greatly exercised ought to inspire. They were both ours, and through the coming centuries England will be able to point with just pride to the possession of men. FARADAY. 341 The first volume of the " Life and Letters " reveals to us the youth who was to be father to the man. Skilful, aspiring, resolute, he grew steadily in knowledge and in power. Consciously or unconsciously, the relation of action to reaction was ever present to Faraday's mind. It had been fostered by his discovery of magnetic rotations, and it planted in him more daring ideas of a similar kind. Mag netism he knew could be evoked by electricity, and he thought that electricity, in its turn, ought to be capable of evolution by magnetism. On August 29, 1831, his experi ments on this subject began. He had been fortified by previous trials, which, though failures, had begotten in stincts directing him toward the truth. He, like every strong worker, might at times miss the outward object, but he always gained the inner light — education and expansion. Of this Faraday's life was a constant illustration. By No vember he had discovered and colligated a multitude of the most wonderful and unexpected phenomena. He had generated currents by currents ; currents by magnets, per manent and transitory; and he afterward generated cur rents by the earth itself. Arago's " Magnetism of Rota tion," which had for years offered itself as a challenge to the best scientific intellects of Europe, now fell into his hands. It proved to be a beautiful but still special illustra tion of the great principle of magneto-electric induction. Nothing equal to this, in the way of pure experimental in quiry, had previously been achieved. Electricities from various sources were next examined, and their differences and resemblances revealed. He thus assured himself of their substantial identity. He then took up conduction, and gave many striking illustrations of the influence of fusion on conducting power. Renouncing pro fessional work, from which at this time he might have de rived an income of many thousands a year, he poured his whole momentum into his researches. He was long en- 342 FRAGMENTS OF HCIKM K. tangled in electro-chemistry. The light .of law was for a time obscured by the thick umbrage of novel facts; but he finally emerged from his researches with the great principle of definite electro-chemical decomposition in his hands. If his discovery of magneto-electricity may be ranked with that of the pile by Volta, this new discovery may almost stand beside that of definite combining proportions in chemistry. He passed on to static electricity — its conduc tion, induction, and mode of propagation. He discovered and illustrated the principle of inductive capacity ; and, turning to theory, he asked himself how electrical attrac tions and repulsions are transmitted. Are they, like gravity, actions at a distance, or do they require a medium ? If the former, then, like gravity, they will act in straight lines ; if the latter, then, like sound or light, they may turn a corner. Faraday held, and his views are gaining ground, that his experiments proved the fact of curvilinear propagation, and hence the operation of a medium. Others denied this ; but none can deny the profound and philosophic character of his leading thought.1 The first volume of the researches contains all the papers here referred to. Faraday had heard it stated that henceforth physical discovery would be made solely by the aid of mathematics ; that we had our data, and needed only to work deductively. Statements of a similar character crop out from time to time in our day. They arise from an imperfect acquaintance with the nature, present condition, and prospective vastness of the field of physical inquiry. The tendency of natural science doubtless is to bring all physical phenomena under the dominion of mechanical laws ; to give them, in other words, mathematical expression. But our approach to this result is asymptotic ; and for ages to come — possibly for 1 In a very remarkable paper published in PoggendorfFs Annalen for 1857, Werner Siemens develops and accepts Faraday's theory of molecu lar induction. FARADAY. 343 all the ages of the human race — Nature will find room for both the philosophical experimenter and the mathematician. Faraday entered his protest against the foregoing statement by labelling his investigations " Experimental Researches in Electricity." They were completed in 1854, and three volumes of them have been published. For the sake of reference lie numbered every paragraph, the last number being 3,362. In 1859 he collected and published a fourth volume of papers under the title, " Experimental Researches in Chemistry and Physics." Thus the apostle of experi ment magnified his office. The second volume of the Researches embraces memoirs on the Electricity of the Gymnotus ; on the Source of Power in the Voltaic Pile ; on the Electricity evolved by the Friction of Water and Steam, in which the phenomena and principles of Sir William Armstrong's Hydro-electric machine are described and developed ; a paper on Magnetic Rotations, and Faraday's letters in relation to the controversy it aroused. The contribution of the most permanent value here is that on the Source of Power in the Voltaic Pile. By it the Contact Theory, pure and simple, was totally over thrown, and the necessity of chemical action to the main tenance of the current demonstrated. The third volume of the Researches opens with a me moir entitled, " The Magnetization of Light, and the Illu mination of Magnetic Lines of Force." It is difficult even now to affix a definite meaning to this title ; but the dis covery of the rotation of the plane of polarization which it announced seems pregnant with great results. The writ ings of William Thomson on the theoretic aspects of the discovery ; the excellent electro-dynamic measurements of Wilhelm Weber, which are models of experimental com pleteness and skill ; Weber's labors in conjunction with his lamented friend Kohlrausch — above all, the researches of Clerk Maxwell on the Electro-magnetic Theory of Light — 344 FRAGMENTS OF SCIENCE. point to that wonderful and mysterious medium which is the vehicle of light and radiant heat as the probable basis also of magnetic and electric phenomena. The hope of such a combination was first raised by the discovery here referred to.1 Faraday himself seemed to cling with partic ular affection to this discovery. He felt that there was more in it than he was able to unfold. He predicted that it would grow in meaning with the growth of science. This it has done ; this it is doing now. Its right interpretation will probably mark an epoch in scientific history. Rapidly following it is the discovery of Diamagnetism, or the Repulsion of Matter by a magnet. Brugmans had shown that bismuth repelled a magnetic needle. Here he stopped* Le Bailliff proved that antimony did the same. Here he stopped. Seebeck, Becquerel, and others, also touched the discovery. These fragmentary gleams excited a momentary curiosity, and were almost forgotten, when Faraday, independently, alighted on the same facts ; and, instead of stopping, made them the inlets to a new and vast region of research. The value of a discovery is to be measured by the intellectual action it calls forth ; and it was Faraday's good fortune to strike such lodes of scientific truth as give some of the best intellects of the age occupa tion. The salient quality of Faraday's scientific character re veals itself from beginning to end of these volumes : a union 1 A letter addressed to me by Professor Weber, on the 18th of last March, contains the following reference to the connection here mentioned : 44 Die Hoffhung einer solchcn Combination ist durch Faraday's Entdeckung dor Ihvhung dcr Polarisationsebene durch magnetische Directionskraft zuerst, und sodann durch die Uebercinstimmung derjenigcn Geschwindig- kcit, welche das Vcrhiiltniss der electro-dynamischen Einheit zur electro- statischen ausdriickt, mit der Geschwindigkeit des Lichts angcregt worden ; wnd mir schcint von alien Vrr.-m-hen, welche zur Verwirklichung dieser Hoflhung gemacht worden sind, das von lljcrnn Maxwell gemachtc am erfolgrcichstcn." FARADAY. 345 of ardor and patience — the one prompting the attack, the other holding him on to it till defeat was final or victory assured. Certainty in one sense or the other was necessary to his peace of mind. The right method of investigation is, perhaps, incommunicable ; it depends on the individual rather than on the system, and the mark is missed when Faraday's researches are pointed to as merely illustrative of the power of the inductive philosophy. The brain may be filled with that philosophy, but without the energy and insight which this man possessed, and which with him were personal and distinctive, we should never rise to the level of his achievements. His power is that of individual genius, rather than of philosophic method ; the energy of a strong soul expressing itself after its own fashion, and acknowl edging no mediator between it and Nature. The second volume of the " Life and Letters," like the first, is an historic treasury as regards Faraday's work and character, and his scientific and social relations. It contains letters from Humboldt, Herschel, Hachette, De la Rive, Du mas, Liebig, Melloni, Becquerel, Oersted, Pliicker, Du Bois- Reymond, Lord Melbourne, Prince Louis Napoleon, and many other distinguished men. I notice with particular pleasure a. letter from Sir John Herschel in reply to a sealed packet addressed to him by Faraday, but which he had permission to open if he pleased. The packet referred to one of the many unfulfilled hopes which spring up in the mind of fer tile investigators : " Go on and prosper, c from strength to strength,' like a victor marching with assured step to further conquests ; and be certain that no voice will join more heartily in the paeans that already begin to rise, and will speedily swell into a shout of triumph, astounding even to yourself, than that of J. F. W. Herschel." As an encourager of the scientific worker, this fine spirit is still active. 346 FRAGMENTS OF SCIENCE. Faraday's behavior to Melloni in 1835 merits a word of notice. The young man was a political exile in Paris. He had newly-fashioned and applied the thermo-electric pile, and had obtained with it results of the greatest importance. But they were not appreciated. With the sickness of dis appointed hope, Melloni waited for the report of the Com missioners appointed by the Academy of Sciences to exam ine his labors. At length he published his researches in the " Annales de Chimie." They thus fell into the hands of Faraday, who, discerning at once their extraordinary merit, obtained for their author the Rumford Medal of the Royal Society. A sum of money always accompanies this medal, and the pecuniary help was at this time even more essential than the mark of honor to the young refugee. Melloni' s gratitude was boundless : " Et vous, monsieur," he writes to Faraday, " qui appar- tenez a une society a laquelle je n'avais rien oflert, vous qui me connaissiez & peine le nom ; vous n'avez pas demande si j'avais des ennemis faiblcs ou puissants, ni calcule quel en 6tait le nombre ; mais vous avez parle" pour 1'opprime Stranger, pour celui qui n'avait pas le moindre droit u tant de bienveillance, et vos paroles ont 6t6 accueillies favorable- ment par des collegues consciencieux ! Je reconnais bien hi des hommes dignes de leur noble mission, les ve>itables repr6sentants de la science d'un pays libre et ge"n6reux." Within the prescribed limits of this article it would be impossible to give even the slenderest summary of Fara day's correspondence, or to carve from it more than the merest fragments of his character. His letters, written to Lord Melbourne and others in 1836, regarding his pension, illustrate his uncompromising independence. The Prime Minister had offended him, but assuredly the apology de manded and given was complete. I think it certain that, notwithstanding the very full account of this transaction given by Dr. Bence Jones, motives and influences were at FARADAY. 347 work which even now are not entirely revealed. The min ister was bitterly attacked, but he bore the censure of the press with great dignity. Faraday, while he disavowed having either directly or indirectly furnished the matter of those attacks, did not publicly exonerate his lordship. The Hon. Caroline Fox had proved herself Faraday's ardent friend, and it was she who had healed the breach between the philosopher and the minister. She manifestly thought that Faraday ought to have come forward in Lord Mel bourne's defence, and there is a flavor of resentment in one of her letters to him on the subject. No doubt Faraday had good grounds for his reticence, but they are to me unknown. In 1841 his health broke down utterly, and he went to Switzerland with his wife and brother-iri-law. His bodily vigor soon revived, and he accomplished feats of walking- respectable even for a trained mountaineer. The published extracts from his Swiss journal contain many beautiful and touching allusions. Amid references to the tints of the Jungfrau, the blue rifts of the glaciers, and the noble Niesen, towering over the Lake of Thun, we come upon the charm ing little scrap which I have elsewhere quoted : " Clout-nail making goes on here rather considerably, and is a very neat and pretty operation to observe. I love a smith's shop, and any thing relating to smithery. My father was a smith." This is from his journal ; but he is unconsciously speaking to somebody — perhaps to the world. His descriptions of the Staub-bach, Giessbach, and of the scenic effects of sky and mountain, are all fine and sym pathetic. But amid it all,, and in reference to it all, he tells his sister that " true enjoyment is from within, not from without." In those days Agassiz was living under a slab of gneiss on the glacier of the Aar. Faraday met Forbes at the Grimsel, and arranged with him an excursion to the " H6tel des Neuchatelois ; " but indisposition put the pro ject out. 348 FRAGMENTS OF SCIEXCE. From the Fort of Ham, in 1843, Faraday received a let ter addressed to him by Prince Louis Napoleon Bonaparte. He read this letter to me many years ago, and the desire, shown in various ways by the French Emperor, to turn modern science to account, has often reminded me of it since. At the age of thirty-five the prisoner of Ham speaks of " rendering his captivity less sad by studying the great discoveries " which science owes to Faraday ; and he asks a question which reveals his cast of thought at the time : " What is the most simple combination to give to a voltaic battery, in order to produce a spark capable of setting fire to powder under water or under ground ? " Should the necessity arise, the French Emperor will not lack at the outset the best appliances of modern science ; while we, I fear, shall have to learn the magnitude of the resources we are now neglecting amid the pangs of actual war.1 One turns with renewed pleasure to Faraday's letters to his wife, published in the second volume. Here surely the loving essence of the man appears more distinctly than anywhere else. From the house of Dr. Percy, in Birming ham, he writes thus : "Here — even here — the moment I leave the table I wish I were with you IN QUIET. Oh, what happiness is ours ! My runs into the world in this way only serve to make me esteem that happiness the more." And again • - " We have been to a grand conversazione in the town- hall, and I have now returned to my room to talk with you, as the pleasantest and happiest thing that I can do. Noth ing rests me so much as communion with you. I feel it even now as I write, and catch myself saying the words aloud as I write them/' 1 The u science " has since been applied with astonishing effect by those who had studied it for more thoroughly than the Emperor oT the French, this, moreorec, tore: ier writing, I walk oat in the with XT dear wife to enjoy sceoei; of mfl that I save a O: and Leers," some Ml ladyhdesmbeshiawd despise sect of CbrisliaK, know^ if IEWI Oirist. Headds: c I do not think h at •f~*A T$B4af~raf^^ r^F 4-l^A •vfe^'+nv^l ^MW^MM^^^ •v^f) v«a . 1. 1 "7 M~ r -" ~~_ " .. 11 T • idagaw, two dianct tilings.0 He saw ckarly tie of his pticolar faith. For his mind ato leare no roan ' * " " * '. yomh. His •!%•• mm cniraitational aid hereditary. It L-J * «•• - _ ^_"«^ __ • - ..:. :.: .-;•;.. 11:5 : : ...5 of his ban ; and howerer its _ It is orth : andsosvit a *• 1 1 •" 5 11 J " " * " T 1 would b a ^ secularist " were he no -' : .. : . 5 :•".:;•:;•.: ; ...i -.: accompabed by dc^mx JL lectnre defirered kiJutc Ac City Phbsophkal Society in 171H, mmtm fci TI- twentr- sii yearef age, expresses die liews regarding education henteriaioed to theendof hislife «Firs 350 FRAGMENTS OF SCIENCE. he says, "all theological considerations are banished from the society, and of course from my remarks ; and whatever I may say has no reference to a future state, or to the means which are to be adopted in this world in anticipation of it. Next, I have no intention of substituting any thing for re ligion, but I wish to take that part of human nature which is independent of it. Morality, philosophy, commerce, the various institutions and habits of society, are independent of religion, and may exist either with or without it. They are always the same, and can dwell alike in the breasts of those who from opinion are entirely opposed in the set of principles they include in the term religion, or in those wTho have none. " To discriminate more closely, if possible, I will ob serve that we have no right to judge religious opinions, but the human nature of this evening is that part of man which we have a right to judge ; and I think it will be found, on examination, that this humanity — as it may perhaps be (Called — will accord with what I have before described as being in our own hands so improvable and perfectible." Among my old papers I find the following remarks on one of my earliest dinners with Faraday : " At two o'clock he came down for me. He, his niece, and myself, formed the party. ' I never give dinners,' he said. ' I don't know how to give dinners, and I never dine out. But I should not like my friends to attribute this to a wrong cause. I act thus for the sake of securing time for work, and not through religious motives, as some imagine.' He said grace. I am almost ashamed to call his prayer a * saying ' of grace. In the language of Scripture, it might be de scribed as the petition of a son, into w^hose heart God had sent the Spirit of His Son, and who with absolute trust asked a blessing from his father. We dined on roast beef, Yorkshire pudding, and potatoes ; drank sherry, talked of research and its requirements, and of his habit of keeping FARADAY. 351 himself free from the distractions of society. He was bright and joyful — boylike, in fact, though he is now sixty-two. His work excites admiration, but contact with him warms and elevates the heart. Here, surely, is a strong man. I love strength, but let me not forget the example of its union with, modesty, tenderness, and sweetness, in the char acter of Faraday." Faraday's progress in discovery, and the salient points of his character, are well brought out by the wise choice of letters and extracts published in these volumes. I will not call the labors of the biographer final. So great a char acter will challenge reconstruction. In the coming time some sympathetic spirit, with the requisite strength, knowl edge, and solvent power, will, I doubt not, render these materials plastic, give them more perfect organic form, and send through them, with less of interruption, the currents of Faraday's life. " He was too good a man," writes his present biographer, " for me to estimate rightly, and too great a philosopher for me to understand thoroughly." That may be, but the reverent affection to which we owe the discovery, selection, and arrangement of the materials here placed before us, is probably a surer guide than mere literary skill. The task of the artist who may wish in future times to reproduce the real though unobtrusive grandeur, the purity, beauty, and childlike simplicity of him whom we have lost, will find his chief treasury already provided for him by Dr. Bence Jones's labor of love. Library* XIII. AN ELEMENTARY LECTURE ON MAGNETISM. ADDEESS TO THE TEACHEES OF PKIMAKY SCHOOLS AT THE SOUTH KENSINGTON MUSEUM. April 30, 1861. " Next in order I will proceed to discuss by what law of Nature it coines to pass that iron can be attracted by that stone which the G reeks call the Magnet from the name of its native place, because it has its origin within the bounds of the country of the Magncsians. This stone is more wondered at because it often produces a chain of [iron] rings hanging down from it. Thus you may see five and more suspended in succession and tossing about in the light airs, one always hanging from the other and attached to its lower side, and each in turn one from the other ex periencing the binding power of the stone : with such a continued cur rent its force flics through all "In things of this kind, many things must be established before you can assign the true law of the thing in question, and it must be ap proached by a very circuitous road ; wherefore all the more I call for an attentive ear and mind." — LUCRETIUS, DC Jterum Natura, Lib. VI., Munro's Translation, p. 317. This lecture is a plain statement of the elementary facts of magnet ism, of one magnetic theory, and of the methods to be pursued in master ing both. It has already circulated among the teachers mentioned on its title-page, and I had some doubts as to the propriety of its insertion here. But, on reading it, it seemed so likely to be helpful, that my scruples disappeared. J. T. MAGNETIC LINES OF FORCF. From a Photograph by Professor MAYER, Lehigh University, United Slates. XIII. A LECTURE ON MAGNETISM. WE have no reason to believe that the sheep or the dog-, or, indeed, any of the lower animals, feel an interest in the laws by which natural phenomena are regulated. A herd may be terrified by a thunder-storm ; birds may go to roost, and cattle return to their stalls during a solar eclipse ; but neither birds nor cattle, as far as we know, ever think of inquiring into the causes of these things. It is otherwise with man. The presence of natural objects, the occurrence of natural events, the varied appearances of the universe in which he dwells, penetrate beyond his organs of sense, and appeal to an inner power of which the senses are the mere instruments and excitants. No fact is to him either final or original. He cannot limit himself to the contemplation of it alone, but endeavors to ascertain its position in a series to which the constitution of his mind assures him it must belong. He regards all that he witnesses in the present as the efflux and sequence of something that has gone before, and as the source of a system of events which is to follow. The notion of spontaneity, by which in his ruder .state he accounted for natural events, is abandoned; the idea that Nature is an aggregate of independent parts also disappears, as the connection and mutual dependence of physical powers become more and more manifest : until he is finally led, and that chiefly by the science of which I happen this evening to be the exponent, to regard 358 J KAGMENTS OF SCIENCE. Nature as an organic whole, as a body each of whose members sympathizes with the rest, changing-, it is true, from ages to ages, but without one real break of continuity, or a single interruption of the fixed relations of cause and effect. The system of things which we call Nature is, however, too vast and various to be studied first-hand by any single mind. As knowledge extends there is always a tendency to subdivide the field of investigation, its various parts be ing taken up by different individuals, and thus receiving a greater amount of attention than could possibly be bestowed on them if each investigator aimed at the mastery of the whole. East, west, north, and south, the human mind pushes its conquests ; but the centripetal form in which knowledge, as a whole, advances, spreading ever wider on all sides, is due in reality to the exertions of individuals, each of whom directs his efforts, more or less, along a single line. Accepting, in many respects, his culture from his fellow-men, taking it from spoken words and from written books, in some one direction, the student of Nature must actually touch his work. He may otherwise be a dis tributor of knmvlfluv, but not a creator, and fails to attain that vitality of thought and correctness of judgment which direct and habitual contact with natural truth can alone impart. One large department of the system of Nature which forms the chief subject of my own studies, and to which it is my duty to call your attention this evening, is that of physics, or natural philosophy. This term is large enough to cover the study of Nature generally, but it is usually restricted to a department which, perhaps, lies closer to our perceptions than any other. It deals with the phe nomena and laws of light and boat — with the phenomena and laws of magnetism and electricity — with those of sound — with the pressures and motions of liquids and A LECTUIIE ON MAGNETISM. 359 gases, whether in a state of translation or of undulation. The science of mechanics is a portion of natural philosophy, though at present so large as to need the exclusive atten tion of him who would cultivate it profoundly. Astronomy is the application of physics to the motions of the heavenly bodies, the vastness of the field causing it, however, to be regarded as a department in itself. In chemistry physical agents play important parts. By heat and light we cause bodies to combine, and by heat and light we decompose them. Electricity tears asunder the locked atoms of com pounds, through their power of separating carbonic acid into its constituents ; the solar beams build up the whole vege table world, and .by it the animal, while the touch of the self-same beams causes hydrogen and chlorine to unite with sudden explosion and form by their combination a powerful acid. Thus physics and chemistry intermingle, physical agents being employed by the chemist as a means to an end ; while in physics proper the laws and phenomena of the agents themselves, both qualitative and quantitative, are the primary objects of attention. My duty here to-night is to spend an hour in telling how this subject is to be studied, and how a knowledge of it is to be imparted to others. When first invited to do this, I hesitated before accepting the responsibility. It would be easy to entertain you with an account of what natural phi losophy has accomplished. I might point to those applica tions of science regarding which we hear so much in the newspapers, and which we often find mistaken for science itself. I might, of course, ring changes on the steam- engine and the telegraph, the electrotype and the photo graph, the medical applications of physics, and the million other inlets by which scientific thought filters into prac tical life. That would be easy compared with the task of informing you how you are to make the study of physics the instrument of your own culture, how you are to pos- 360 FRAGMENTS OF SCIENCE. sess its facts and make them living- seeds which shall take root and grow in the mind, and not lie like dead lumber in the store-house of memory. This is a task much heavier than the mere cataloguing of scientific achieve ments ; and it is one which, feeling my own want of time and power to execute it aright, I might well hesitate to accept But let me sink excuses, and attack the work to the best of my ability. First and foremost, then, I would ad vise you to get a knowledge of facts from actual observa tion. Facts looked at directly are vital ; when they pass into words half the sap is taken out of them. You wish, for example, to get a knowledge of magnetism ; well, pro vide yourself with a good, book on the subject, if you can, but do not be content with what the book tells you ; do not be satisfied with its descriptive woodcuts ; see the actual thing yourself. Half of our book-writers describe experiments which they never made, and their descrip tions often lack both force and truth ; but no matter how clever or conscientious they may be, their written words cannot supply the place of actual observation. Every fact has numerous radiations, which are shorn off by the man who describes it. Go, then, to a philosophical instrument- maker, and give, according to your means, for a straight bar-magnet, say, half a crown, or, if you can afford it, five shillings for a pair of them ; or get a smith to cut a length of ten inches from a bar of steel an inch wide and half an inch thick ; file its ends decently, harden it, and get some body like myself to magnetize it. Two bar-magnets are better than one. Procure some darning-needles such as these. Provide yourself also witli a little unspun silk ; which will give you a suspending fibre void of torsion ; make a little loop of paper or of wire, thus, and attach your fibre to it. Do it neatly. In the loop place your darning- needle, and bring the two ends or poles, as they are called, A LECTURE ON MAGNETISM. 361 of your magnet successively up to either end of the needle. Both the poles, you find, attract both ends of the needle. Replace the needle by a bit of annealed iron wire, the same effects ensue. Suspend successively little rods of lead, copper, silver, or brass, of wood, glass, ivory, or whalebone ; the magnet produces no sensible effect upon any of these substances. You thence infer a special property in the case of steel and iron. Multiply your experiments, how ever, and you will find that some other substances besides iron are acted upon by your magnet. A rod of the metal nickel, or of the metal cobalt, from which the blue color used by painters is derived, exhibits powers similar to those observed with the iron and steel. In studying the character of the force you may, how ever, confine yourself to iron and steel, which are always at hand. Make your experiments with the darning-needle over and over again ; operate on both ends of the needle ; try both ends of the magnet. Do not think the work stu pid ; you are conversing with Nature, and must acquire a certain grace and mastery over her language ; and these practice can alone impart. Let every movement be made with care, and avoid slovenliness from the outset. In every one of your experiments endeavor to feel the responsibility of a moral agent. Experiment, as I have said, is the lan guage by which we address Nature, and through which she sends her replies ; in the use of this language a lack of straightforwardness is as possible and as prejudicial as in the spoken language of the tongue. If you wish to become acquainted with the truth of Nature, you must from the first resolve to deal with her sincerely. Now remove your needle from its loop, and draw it from end to end along one of the ends of the magnet ; resuspend it, and repeat your former experiment. You find the result different. You now find that each extremity of the magnet attracts one end of the needle and repels the other. The 16 36-2 FRAGMENTS OF SCIENCE. simple attraction observed in the first instance is now re placed by a dual force. Repeat the experiment till you have thoroughly observed the ends which attract and those which repel each other. Withdraw the magnet entirely from the vicinity of your needle, and leave the latter freely suspended by its fibre. Shelter it as well as you can from currents of air, and if you have iron buttons on your coat or a steel penknife in your pocket, beware of their action. If you work at night, beware of iron candlesticks, or of brass ones with iron rods inside. Freed from such disturbances, the needle takes up a certain determinate position. It sets its length nearly north and south. Draw it aside from this position and let it go. After several oscillations it will again come to it. If you have obtained your magnet from a philosophical-in strument maker, you will see a mark on one of its ends. Supposing, then, that you drew your needle along the end thus marked, and that the eye-end of your needle was the last to quit the magnet, you will find that the eye turns to the south, the point of the needle turning toward the north. Make sure of this, and do not take this statement on my authority. Now take a second darning-needle like the first, and magnetize it in precisely the same manner : freely sus pended it also will turn its point to the north and its eye to the south. Your next step is to examine the action of the two needles which you have thus magnetized upon each other. Take one of them in your hand, and leave the other sus pended ; bring the eye-end of the former near the eye-end of the latter ; 'the suspended needle retreats : it is repelled. Make the same experiment with the two points, you obtain the same result, the suspended needle is repelled. Now cause the dissimilar ends to act on each other — you have :it< ruction — point attracts rye and eye attracts point. Pmvo A LECTURE ON MAGNETISM. 363 the reciprocity of this action by removing- the suspended needle, and putting the other in its place. You obtain the same result. The attraction, then, is mutual, and the re pulsion is mutual, and you have thus demonstrated in the clearest manner the fundamental law of magnetism, that like poles repel, and that unlike poles attract each other. You may say that this is all easily understood without do ing ; but do it, and your knowledge will not be confined to what I have uttered here. I have said that one end of your magnet has a mark upon it ; lay several silk fibres together, so as to get suffi cient strength, or employ a thin silk ribbon, and form a loop large enough to hold your magnet. Suspend it ; it turns its marked end toward the north. This marked end is that which in England is called the north pole. If a common smith has made your magnet, it will be convenient to deter- mine its north pole yourself, and to mark it with a file. You vary your experiments by causing your magnetized darning-needle to attract and repel your large magnet ; it is quite competent to do so. In magnetizing the needle, I have supposed the eye-end to be the last to quit the marked end of the magnet ; that end of the needle is a south pole. The end which last quits the magnet is always opposed in polarity to the end of the magnet with which it has been in contact. Brought near each other they mutually attract, and thus demonstrate that they are unlike poles. You may perhaps learn all this in a single hour ; but spend several at it, if necessary; and remember, under standing it is not sufficient: you must obtain a manual aptitude in addressing Nature. If you speak to your fellow- man, you are not entitled to use jargon. Bad experiments are jargon addressed to Nature, and just as much to be dep recated. A manual dexterity in illustrating the interaction of magnetic poles is of the utmost importance at this stage of your progress, and you must not neglect attaining this 3 04 FRAGMENTS OF SCIENCE. power over your implements. As you proceed, moreover, you will be tempted to do more than I can possibly suggest. Thoughts will occur to you which you will endeavor to fol low out ; questions will arise which you will try to answer. The same experiment may be twenty things to twenty people. Having witnessed the action of pole on pole through the air, you will perhaps try whether the magnetic power is not to be screened off. You use plates of glass, wood, slate, pasteboard, or gutta-percha, but find them all pervious to this wondrous force. One magnetic pole acts upon another through these bodies as if they were not present. And should you become a patentee for the regu lation of ships' compasses, you will not fall, as some pro jectors have done, into the error of screening off the mag netism of the ship by the interposition of such substances. If you wish to teach a class you must contrive that the effects which you have thus far witnessed for yourself shall be witnessed by twenty or thirty pupils. And here your private ingenuity must come into play. You will attach bits of paper to your needles, so as to render their move ments visible at a distance, denoting the north and south poles by different colors, say green and red. You may also improve upon your darning-needle. Take a strip of sheet- steel, the rib of a lady's stays will answer, heat it to vivid redness and plunge it into cold water. It is thereby hard ened, rendered, in fact, almost as brittle as glass. Six inches of this, magnetized in the manner of the darning- needle, will be better able to carry your paper indexes. Having secured such a strip, you proceed thus : Magnetize a small sewing-needle and determine its poles ; or, break half an inch or an inch off your magnetized darning-needle, and suspend it by a fine silk fibre. The sewing-needle or the fragment of the darning-needle is now to be used as a test-needle to examine the distribution of the magnetism in your strip of steel. Hold the strip up- A LECTURE ON MAGNETISM. 365 right in your left hand, and cause the test-needle to ap proach the lower end of your strip; one end is attracted, the other is repelled. Raise your needle along the strip ; its oscillations, which at first were quick, become slower ; opposite the middle of the strip they cease entirely ; neither end of the needle is attracted ; above the middle the test- needle turns suddenly round, its other end being now at tracted. Go through the experiment thoroughly ; you thus learn that the entire lower half of the strip attracts one end of the needle, while the entire upper half attracts the oppo site end. Supposing the north end of your little needle to be that attracted below, you infer that the entire lower half of your magnetized strip exhibits south magnetism, while the entire upper half exhibits north magnetism. So far, then, you have determined the distribution of magnetism in your strip of steel. You look at this fact, you think of it ; in its suggestive- ness the value of the experiment chiefly consists. The thought arises, " What will occur if I break my strip of steel across in the middle ? Shall I obtain two magnets, each possessing a single pole ? " Try the experiment ; break your strip of steel, and test each half as you tested the whole. The mere presentation of its two ends in suc cession to your test-needle suffices to show you that you have not a magnet with a single pole, that each half pos sesses two poles with a neutral point betwreen them. And if you again break the half into two other halves, you will find that each quarter of the original strip exhibits precisely the same magnetic distribution as the strip itself. You may continue the breaking process ; no matter how small your fragment may be, it still possesses two opposite poles and a neutral point between them. Well, your hand ceases to break where breaking becomes a mechanical impossi bility ; but does the mind stop there ? No : you follow the breaking process in idea when you can no longer realize 366 FRAGMENTS OF SCIENCE. it in fact ; your thoughts wander amid the very atoms of your steel, and you conclude that each atom is a magnet, and that the force exerted by the strip of steel is the mere summation or resultant of the forces of its ultimate par ticles. Here, then, is an exhibition of power which we can call forth or cause to disappear at pleasure. We magnetize our strip of steel by drawing it along the pole of a magnet ; we can demagnetize it, or reverse its magnetism, by prop erly drawing it along the same pole in the opposite direc tion. What, then, is the real nature of this wondrous change ? What is it that takes place among the atoms of the steel when the substance is magnetized ? The question leads us beyond the region of sense, and into that of imagi nation. This faculty, indeed, is the divining-rod of 'the man of science. Not, however, an imagination which catches its creations from the air, but one informed and inspired by facts, capable of seizing firmly on a physical image as a principle, of discerning its consequences, and of devising means whereby these forecasts of thought may be brought to an experimental test. If such a principle be adequate to account for all the phenomena, if from an assumed cause the observed facts necessarily follow, we call the assump tion a theory, and, once possessing it, we can not only re vive at pleasure facts already known, but we can predict others wluch we have never seen. Thus, then, in the prose cution of physical science, our powers of observation, mem ory, imagination, and inference, are all drawn upon. We observe facts and store them up ; imagination broods upon these memories, and by the aid of reason tries to discern their interdependence. The theoretic principle flashes, or slowly dawns upon the mind, and then the deductive fac ulty interposes to carry out the principle to its logical con sequences. A perfect theory gives dominion over natural facts; and even an assumption which can only partially A LECTURE ON MAGNETISM. 367 stand the test of a comparison with facts, may be of emi nent use in enabling us to connect and classify groups of phenomena. The theory of magnetic fluids is of this latter character, and with it we must now make ourselves familiar. With the view of stamping the thing more firmly on your minds, I will make use of a strong and vivid image. In optics, red and green are called complementary colors ; their mixture produces white. Now I ask you to imagine each of these colors to possess a self-repulsive power ; that red repels red, and that green repels green ; but that red attracts green and green attracts red, the attraction of the dissimilar colors being equal to the repulsion of the similar ones. Imagine the two colors mixed so as to produce white, and suppose two strips of wood painted with this white ; what will be their action upon each other ? Sus pend one of them freely as we suspended our darning- needle, and bring the other near it ; what will occur ? The red component of the strip you hold in your hand will re pel the red component of your suspended strip, but then it will attract the green ; and the forces being equal they neu tralize each other.. In fact, the least reflection shows you that the strips will be as indifferent to each other as two unmagnetized darning-needles would be under the same circumstances. But suppose, instead of mixing the colors, we painted one half of each strip from centre to end red, and the other half green, it is perfectly manifest that the two strips would now behave toward each other exactly as our two magnet ized darning-needles — the red end would repel the red and attract the green, the green would repel the green and at tract the red; so that, assuming two colors thus related to each other, wTe could by their mixture produce the neutral ity of an unmagnetized body, while by their separation we could produce the duality of action of magnetized bodies. But you have already anticipated a defect in my con- 3C8 FRAGMENTS OF SCIENCE. ception ; for if we break one of our strips of wood in the middle we have one half entirely red and the other entirely green, and with these it would be impossible to imitate the action of our broken magnet. How, then, must we modify our conception? We must evidently suppose each atom of wood painted green on one face and red on the opposite one. If this were done the resultant action of all the atoms would exactly resemble the action of a magnet. Here, also, if the two opposite colors of each atom could be caused to mix so as to produce white, we should have, as before, perfect neutrality. Substitute in your minds for these two self-repellant and mutually attractive colors two invisible self-repellant and mutually attractive fluids, which in ordinary steel are mixed to form a neutral compound, but which the act of magnetization separates from each other, placing the oppo site fluids on the opposite faces of each atom, and you have a perfectly distinct conception of the celebrated theory of magnetic fluids. The strength of the magnetism excited is supposed to be proportional to the quantity of neutral fluid decomposed. According to this theory nothing is actually transferred from the exciting magnet to the excited steel. The act of magnetization consists in the forcible separation of two powers which existed in the steel before it was mag netized, but which then neutralized each other by their coa lescence. And if you test your magnet after it lias excited a hundred pieces of steel, you will find that it has lost no force — no more, indeed, than I should lose had my words such a magnetic influence on your minds, as to excite in them a strong resolve to study natural philosophy. I should, in fact, be the gainer by my own utterance and by the reac tion of your strength ; and so also the magnet is the gainer by the reaction of the body which it magnetizes. Look now to your excited piece of steel ; figure each atom to your minds with its opposed fluids spread over its A LECTURE ON MAGNETISM. 369 opposite faces. How can this state of tilings be perma nent ? The fluids, by hypothesis, attract each other ; what, then, keeps them apart ? Why do they not instantly rush together across the equator of the atom, and thus neu tralize each other ? To meet this question, philosophers have been obliged to infer the existence of a special force which holds the fluids asunder. They call it coercive force; and it is found that those kinds of steel which offer most resistance to being magnetized, which require the greatest amount of coercion to tear their fluids asunder, are the very ones which offer the greatest resistance to the reunion of the fluids after they have been once separated. Such kinds of steel are most suited to the formation of per manent magnets. It is manifest, indeed, that without coercive force a permanent magnet would not be at all pos sible. You have not forgotten that, previous to magnetizing your darning-needle, both its ends were attracted by your mag net ; and that both ends of your bit of iron wire were acted upon in the same way. Probably also long before this you will have dipped the end of your magnet among iron filings, and observed how they cling to it, or into a nail-box, and found how it drags the nails after it. I know very well that if you are not the slaves of routine, you will have by this time done many things that I have not told you to do, and thus multiplied your experience beyond what I have indicated. You are almost sure to have caused a bit of iron to hang from the end of your magnet, and you have probably succeeded in causing a second piece to attach itself to the first, a third to the second ; until finally the . force has become too feeble to bear the weight of more. If you have operated with nails, you may have observed that the points and edges hold together with the greatest tenacity ; and that a bit of iron clings more firmly to the corner of your magnet than to one of its flat surfaces. In 370 FRAGMENTS OF SCIENCE. short, you will, in all likelihood, have enriched your expe rience in many ways without any special direction from me. Well, the magnet attracts the nail, and that nail attracts a second one. This proves that the nail in contact with the magnet has had the magnetic quality developed in it by that contact. If it be withdrawn from the magnet, its power to attract its fellow-nail ceases. Contact, however, is not necessary. A sheet of glass or paper, or a space of air, may exist between the magnet and the nail ; the latter is still magnetized, though not so forcibly as when in actual contact. The nail then presented to the magnet is itself a temporary magnet. That end which is turned toward the magnetic pole has the opposite magnetism of the pole which excites it ; the end most remote from the pole has the same magnetism as the pole itself, and be tween the two poles the nail, like the magnet, possesses a magnetic equator. Conversant as you now are with the theory of magnetic fluids, you have already, I doubt not, anticipated me in imagining the exact condition of the iron under the in fluence of the magnet. You picture the iron as possessing the neutral fluid in abundance, you picture the magnetic pole, when brought near, decomposing the fluid ; repelling the fluid of a like kind with itself, and attracting the unlike fluid ; thus exciting in the parts of the iron nearest to itself the opposite polarity. But the iron is incapable of becoming a permanent magnet. It only shows its virtue as long as the magnet acts upon it. What, then, does the iron lack which the steel possesses? It lacks coercive force. Its fluids arc separated with ease, but, once the separating cause is removed, they flow together again and neutrality is restored. Your imagination must be quite nimble in picturing these changes. You must be able to see the fluids dividing and reuniting according as the magnet is A LECTURE ON MAGNETISM. 3?1 brought near or withdrawn. Fixing a definite pole in your imagination, you must picture the precise arrangement of the two fluids with reference to this pole. And you must not only be well drilled in the use of this mental imagery yourself, but you must be able to arouse the same pictures in the minds of your pupils, and satisfy yourself that they possess this power of placing actually before themselves magnets and iron in various positions, and describing the exact magnetic state of the iron in each particular case. The mere facts of magnetism will have their interest im mensely augmented by an acquaintance with those hidden principles whereon the facts depend. Still, while you use this theory of magnetic fluids to track out the phenomena and link them together, be sure to tell your pupils that it is to be regarded as a symbol merely — a symbol, more over, which is incompetent to cover all the facts,1 but which does good practical service while we are waiting for the actual truth. This state of excitement into which the soft iron is throw^n by the influence of the magnet, is sometimes called " magnetization by influence." More commonly, however, the magnetism is said to be " induced " in the soft iron, and hence this way of magnetizing is called "magnetic induction." Now, there is nothing theoretically perfect in Nature : there is no iron so soft as not to possess a certain amount of coercive force, and no steel so hard as not to be capable, in some degree, of magnetic induction. The quality of steel is in some measure possessed by iron, and the quality of iron is shared in some degree by steel. It is in virtue of this latter fact that the unmagnetized darning- 1 This theory breaks down when applied to diamagnetic bodies, which are repelled by magnets. Like soft iron, such bodies are thrown into a state of temporary excitement in virtue of which they are repelled, but any attempt to explain such a repulsion by the decomposition of a fluid will demonstrate its own futility. 372 FRAGMENTS OF SCIENCE. needle was attracted in your first experiment ; and from this you may at once deduce the consequence that, after the steel has been magnetized, the repulsive action of a magnet must be always less than its attractive action. For the repulsion is opposed by the inductive action of the magnet on the steel, while the attraction is assisted by the same inductive action. Make this clear to your minds, and verify it by your experiments. In some cases you can actually make the attraction due to the temporary mag netism overbalance the repulsion due to the permanent magnetism, and thus cause two poles of the same kind apparently to attract each other. When, however, good hard magnets act on each other from a sufficient distance, the inductive action practically vanishes, and the repulsion of like poles is sensibly equal to the attraction of unlike ones. I dwell thus long on elementary principles, because they are of the first importance, and it is the temptation of this age of unhealthy cramming to neglect them. Now follow me a little further. In examining the distribution of magnetism in your strip of steel, you raised the needle slowly from bottom to top, and found what we called a neutral point at the centre. Now does the magnet really exert no influence on the pole presented to its centre? Let us see. Fio. 1. Let S N, Fig. 1, be your magnet, and let n represent a particle of north magnetism placed exactly opposite the A LECTURE ON MAGNETISM. 373 middle of the magnet. Of course this is an imaginary case, as you can never in reality thus detach your north mag netism from its neighbor. What is the action of the two poles of the magnet on n ? Your reply will of course be that the pole S attracts n while the pole N repels it. Let the magnitude and direction of the attraction be ex pressed by the line n m, and the magnitude and direction of the repulsion by the line n o. Now the particle n being equally distant from S and N, the line n o, expressing the repulsion, will be equal to m n, which expresses the attrac tion, and the particle n, acted upon by two such forces, must evidently move in the direction p n, exactly midway between m n and n o. Hence you see that, although there is no tendency of the particle n to move toward the mag netic equator, there is a tendency on its part to move parallel to the magnet. If instead of a particle of north magnetism we placed a particle of south magnetism op posite to the magnetic equator, it would evidently be urged along the line n q / and if instead of two separate particles of magnetism we place a little magnetic needle, containing both north and south magnetism, opposite the magnetic equator, its south pole being urged along n q, and its north along n p, the little needle will be compelled to set itself parallel to the magnet S N. Make the experiment, and satisfy yourselves that this is the case. Substitute for your magnetic needle a bit of iron wire, devoid of permanent magnetism, and it will set itself ex actly as the needle does. Acted upon by the magnet, the wire, as you know, becomes a magnet and behaves as such ; it will, of course, turn its north pole toward p, and south pole toward q, just like the needle. But supposing you shift the position of your particle of north magnetism, and bring it nearer to one end of your magnet than to the other, the forces acting on the particle are no longer equal ; the nearest pole of the magnet will 374 FRAGMENTS OF SCIKV i act more powerfully on the particle than the more distant one. Let S N, Fig. 2, be the magnet and n the particle of north magnetism in its new position. "Well, it is repelled by N, and attracted by S. Let the repulsion be represented in magnitude and direction by the line n o, and* the attraction by the shorter line n m. The resultant of these two forces will be found by completing the par allelogram m n o p, and drawing its diagonal n p. Along n p, then, a particle of north magnetism would be urged by the simultaneous action of S and N. Substituting a FIG. 2. S I particle of south magnetism for ny the same reasoning would lead to the conclusion that the particle would be urged along n q, and if we place at n a short magnetic needle, its north pole will be urged along n p, its south pole along n q, and the ouly position possible to the needle, thus acted on, is along the line p q, which, as you see, is no longer parallel to the magnet. Verify this by actual experiment. In this way we might go round the entire magnet, and considering its two poles as two centres from which the force emanates, we could, in accordance with ordinary me chanical principles, assign a definite direction to the mag netic needle at every particular place. And substituting, as before, a bit of iron wire for the magnetic needle, the positions of both will be the same. A LECTURE ON MAGNETISM. 375 Now, I think, without further preface, you will be able to comprehend for yourselves, and explain to others, one of the . most interesting effects in the whole domain of magnetism. Iron filings you know are particles of iron, irregular in shape, being longer in some directions than in others. For the present experiment, moreover, instead of the iron filings, very small scraps of thin iron wire might be employed. I place a sheet of paper over the magnet ; it is all the better if the paper be stretched on a wooden frame, as this enables us to keep it quite level. I scatter the filings, or the scraps of wire, from a sieve upon the paper, and tap the latter gently, so as to liberate the particles for a moment from its friction. The magnet acts on the filings through the paper, and see how it arranges them ! They embrace the magnet in a series of beautiful curves, which are technically called magnetic curves, or lines of magnetic force. Does the meaning of these lines yet flash upon you ? Set your magnetic needle or your suspended bit of wire at any point of one of the curves, and you will find the direction of the needle or of the wire to be exactly that of the particle of iron, or of the magnetic curve at the point. Go round and round the magnet ; the direction of your needle always coincides with the direction of the curve on which it is placed. These, then, are the lines along which a particle of south magnetism, if you could detach it, would move to the north pole, and a bit of north magnetism to the south pole ; they are the lines along which the de composition of the neutral fluid takes place, and in the case of the magnetic needle, one of its poles being urged in one direction, and the other pole in the opposite direction, the needle must necessarily set itself as a tangent to the curve. I will not seek to simplify this subject further. If there be any thing obscure or confused or incomplete in my statement, you ought now, by patient thought, to be able to clear, away the obscurity, to reduce the confusion to 370 FRAGMENTS ,OF SCIENCE. order, and to supply what is needed to render the explana tion complete. Do not quit the subject until you thor oughly understand it ; and if you are able to look with your mind's eye at the play of forces around a magnet, and see distinctly the operation of those forces in the produc tion of the magnetic curves, the time which we have spent together has not been spent in vain. In this thorough manner we must master our materials, reason upon them, and, by determined study, attain to clear ness of conception. Facts thus dealt with exercise an expansive force upon the boundaries of thought ; they widen the mind to generalization. We soon recognize a brotherhood between the larger phenomena of Nature and the minute effects which we have observed in our private chambers. Why, we inquire, does the magnetic needle set north and south? Evidently it is compelled to do so by the earth; the great globe which we inherit is itself a magnet. Let us learn a little more about it. By means of a bit of wax or otherwise attach your silk fibre to your magnetic needle by a single point at its middle, the needle will thus be uninterfered with by the paper loop, and will enjoy to some extent a power of dipping its point or its eye below the horizon. Lay your magnet on a table, and hold the needle over the equator of the magnet. The needle sets horizontal. Move it toward the north end of the magnet; the south end of the needle dips, the dip augmenting as you approach the north pole, over which the needle, if free to move, will set itself exactly vertical. Move it back to the centre, it resumes its horizontal it y ; pass it on toward the south pole, its north end now dips, and directly over the south pole the needle becomes ver tical, its north end being now turned downward. Thus we learn that on the one side of the magnetic equator the north end of the needle dips ; on the other side the south end dips, the dip varying from nothing to ninety degrees. If A LECTURE OX MAGNETISM. 377 we go to the equatorial regions of the earth with a suit ably-suspended needle, we shall find there the position of the needle horizontal. If we sail north, one end of the needle dips ; if we sail south, the opposite end dips ; and over the north or south terrestrial magnetic pole the needle sets vertical. The south magnetic pole has not yet been found, but Sir James Ross discovered the north magnetic pole on the 1st of June, 1831. In this manner we estab lish a complete parallelism between the action of the earth and that of an ordinary magnet. The terrestrial magnetic poles do not coincide with the geographical ones ; nor does the earth's magnetic equator quite coincide with the geographical equator. The direc tion of the magnetic needle in London, which is called the magnetic meridian, encloses an angle of 24 degrees with the true astronomical meridian, this angle being called the Declination of the needle for London. The north pole of the needle now lies to the west of the true meridian ; the declination is westerly. In the year 1660, however, the declination was nothing, while before that time it was easterly. All this proves that the earth's magnetic con stituents are gradually changing their distribution. This change is very slow ; it is technically called the secular change, and the observation of it has not yet extended over a sufficient period of -time to enable us to guess, even ap proximately, at its laws. Having thus discovered, to some extent, the secret of the earth's power, we can turn it to account. I hold in my hand a poker formed of good soft iron ; it is now in the line of dip, a tangent, in fact, to the earth's line of magnetic force. The earth, acting as a magnet, is at this moment constraining the two fluids of the poker to separate, making the lower end of the poker a north pole, and the upper end a south pole. Mark the experiment : I hold the knob uppermost, and it attracts the north end of a magnetic 378 FRAGMENTS OF SCIENCE. needle. I now reverse the poker, bringing its knob under most ; the knob is now a north pole and attracts the south end of a magnetic needle. Get such a poker and carefully repeat this experiment ; satisfy yourselves that the fluids shift their position according to the manner in which the poker is presented to the earth. It has already been stated that the softest iron possesses a certain amount of coercive force. The earth, at this moment, finds in this force an an tagonist which opposes the full decomposition of the neu tral fluid. The component fluids may be figured as meet ing an amount of friction, or possessing an amount of ad hesion, which prevents them from gliding over the atoms of the poker. Can we assist the earth in this case ? If we wish to remove the residue of a powder from the interior surface of a glass to which the powder clings, we invert the glass, tap it, loosen the hold of the powder, and thus enable the force of gravity to pull it down. So also by tapping the end of the poker we loosen the adhesion of the fluid to the atoms and enable the earth to pull them apart. But, what is the consequence? The portion of fluid which has been thus forcibly dragged over the atoms refuses to return when the poker has been removed from the line of dip; the iron, as you see, has become a permanent magnet. By reversing its position and tapping it again we reverse its magnetism. A thoughtful and competent teacher will well know how to place these remarkable facts before his pupils in a manner which will excite their interest ; he will know, and if not, will try to learn, how, by the use of sensible images, more or less gross, to give those he teaches definite conceptions, purifying these conceptions more and more as the minds of his pupils become more capable of abstraction. He will cause his logic to run like a line of light through these images, and by thus acting he will cause his boys to march at his side with a profit and a joy, which the mere exhibition of A LECTURE ON MAGNETISM. 379 facts without principles, or the appeal to the bodily senses and the power of memory alone, could never inspire. As an expansion of the note at page 371, the following extract may find a place here : " It is well known that a voltaic current exerts an attractive force upon a second current, flowing in the same direction ; and that when the directions are opposed to each other the force exerted is a repulsive one. By coiling wires into spirals, Ampere was enabled to make them produce all the phenomena of attraction and repulsion exhibited by magnets, and from this it was but a step to his celebrated theory of molecular cur rents. He supposed the molecules of a magnetic body to be surrounded by such currents, which, however, in the natural state of the body mu tually neutralized each other, on account of their confused ' grouping. The act of magnetization he supposed to consist in setting these molecu lar currents parallel to each other ; and, starting from this principle, he reduced all the phenomena of magnetism to the mutual action of electric currents. " If we reflect upon the experiments recorded in the foregoing pages from first to last, we can hardly fail to be convinced that diamagnetic bodies operated on by magnetic forces possess a polarity " the same in kind as, but the reverse in direction of that acquired by magnetic bodies." But, if this be the case, how are we to conceive the physical mechanism of this polarity ? According to Coulomb's and Poisson's theory, the act of magnetization consists in the decomposition of a neutral magnetic fluid ; the north pole of a magnet, for example, possesses an attraction for the south fluid of a piece of soft iron submitted to its influence, draws the said fluid toward it, and with it the material particles with which the fluid is associated. To account for diamagnetic phenomena this theory seems to fail altogether ; according to it, indeed, the oft-used phrase, " a north pole exciting a north pole, and a south pole a south pole," involves a contradiction. For if the north fluid be supposed to be attracted tow ard the influencing north pole, it is absurd to suppose that its presence there could produce repulsion. The theory of Ampere is equally at a loss to explain diamagnetic action ; for if we suppose the particles of bismuth surrounded by molecular currents, then, according to all that is known of electro-dynamic laws, these currents would set themselves parallel to, and in the same direction as those of the magnet, and hence attraction, and not repulsion, would be the result. The fact, however, of this not 380 FRAGMENTS OF SCIEXCE. being the case proves that these molecular currents are not the mechan ism by which diumagnetic induction is effected. The consciousness of this, I doubt not, drove M. Weber to the assumption that the phenomena of diamagnetism are produced by molecular currents, not directed) but actually excited in the bismuth by the magnet. Such induced currents would, according to known laws, have a direction opposed to those of the inducing magnet, and hence would produce the phenomena of repulsion. To carry out the assumption here made, M. Weber is obliged to suppose that the molecules of diamagnetic bodies are surrounded by channels, in which the induced molecular currents, once excited, continue to flow without resistance." — Diamagnctism and Nar/nc-cryslattic Action, pp. ISO, 137. XIV. SHORTER ARTICLES. SLATES.— DEATH BY LIGHTNING.— SCIENCE AND SPIRITS.— VITALITY.— ADDITIONAL REMARKS ON MIRACLES. SLATES. (Part of a Lecture delivered in the Royal Institution of Great Britain, June 6, 1856.) WHEN the student of physical science has to investigate the character of any natural force, his first care must be to purify it from the mixture of other forces, and thus study its simple action. If, for example, he wishes to know how a mass of liquid would shape itself, if at liberty to follow the bent of its own molecular forces, he must see that these forces have free and undisturbed exercise. We might, per haps, refer him to the dew-drop for a solution of the ques tion ; but here we have to do, not only with the action of the molecules of the liquid upon each other, but also with the action of gravity upon the mass, which pulls the drop downward and elongates it. If he would examine the problem in its purity, he must do as Plateau has done, de tach the liquid mass from the action of gravity ; he would then find the shape to be a perfect sphere. Natural pro cesses come to us in a mixed manner, and to the unin- structed mind are a mass of unintelligible confusion. Sup pose half a dozen of the best musical performers to be placed in the same room, each playing his own instrument to per fection, but no two playing the same tune ; though each in dividual instrument might be a source of perfect music, still the mixture of all would produce mere noise. Thus it is with the processes of Nature. Here mechanical and mo lecular laws intermingle and create apparent confusion. Their mixture constitutes what may be called the noise of 384 FRAGMENTS OF SCIENCE. natural laws, and it is the vocation of the man of science to resolve this noise into its components, and thus to detect the " music " in which the foundations of Nature are laid. The necessity of this detachment of one force from all other forces is nowhere more strikingly exhibited than in the phenomena of crystallization. Here, for example, is a so lution of common sulphate of soda or Glauber salt. Look ing into it mentally, we see the molecules of that liquid, like disciplined squadrons under a governing eye, arranging themselves into battalions, gathering round distinct centres, and forming themselves into solid masses, which after a time assume the visible shape of the crystal now held in my hand. I may, like an ignorant meddler wishing to hasten matters, introduce confusion into this order. This may be done by plunging a glass rod into the vessel ; the consequent action is not the pure expression of the crystalline forces ; the molecules rush together with the confusion of an unorgan ized mob, and not with the steady accuracy of a disciplined host. In this mass of bismuth also we have an example of confused crystallization ; but in the crucible behind me a slower process is going on : here there is an architect at work " who makes no chips, no din," and who is now build ing the particles into crystals, similar in shape and structure to those beautiful masses which we see upon the table. By permitting alum to crystallize in this slow way, we obtain these perfect octahedrons ; by allowing carbonate of lime to crystalize, Nature produces these beautiful rhomboids ; when silica crystallizes, we have formed these hexagonal prisms capped at the ends by pyramids ; by allowing salt petre to crystallize we have these prismatic masses, and when carbon crystallizes, we have the diamond. If we wish to obtain a perfect crystal, we must allow the molecular forces free play : if the crystallizing mass be permitted to rest upon a surface it will be flattened, and to prevent this a small crystal must be so suspended as to be surrounded SLATES. 385 on all sides by the liquid, or, if it rest upon the surface, it must be turned daily so as to present all its faces in succes sion to the working builder. In building up crystals these little atomic bricks often arrange themselves into layers which are perfectly parallel to each other, and which can be separated by mechanical means ; this is called the cleavage of the crystal. The crys tal of sugar I hold in my hand thus far escaped the solvent and abrading forces which sooner or later determine the fate of sugar-candy. I readily discover that it cleaves with peculiar facility in one direction. Again, I lay my knife upon this piece of rock-salt, and with a blow cleave it in one direction. Laying the knife at right angles to its former position, the crystal cleaves again; and finally, placing the knife at right angles to the two former positions, we find a third cleavage. Rock-salt cleaves in three di rections, and the resulting solid is this perfect cube, which may be broken up into any number of smaller cubes. Ice land spar also cleaves in three directions, not at right angles, but oblique to each other, the resulting solid being a rhom boid. In each of these cases the mass cleaves with equal facility in all three directions. For the sake of complete ness I may say that many crystals cleave with unequal fa cility in different directions: heavy spar presents an ex ample of this kind of cleavage. Turn we now to the consideration of some other phe nomena to which the term cleavage may be applied. Beech, deal, and other woods, cleave with facility along the fibre, and this cleavage is most perfect when the edge of the axe is laid across the rings which mark the growth of the tree. If you look at this bundle of hay severed from a rick, you will see a sort of cleavage in it also ; the stalks lie in paral lel planes, and only a small force is required to separate them laterally. But we cannot regard the cleavage of the tree as the same in character as that of the hay-rick. In 17 386 FRAGMENTS OF SCIENCE. the one case it is the molecules arranging themselves ac cording to organic laws which produce a cleavable struct ure, in the other case the easy separation in one direction is due to the mechanical arrangement of the coarse sensible masses of the stalks of hay. This sand-stone rock was once a powder, more or less coarse, held in mechanical suspension by water. The pow der was composed of two distinct parts, fine grains of sand and small plates of mica. Imagine a wide strand covered by a tide, or an estuary with water which holds such powder in suspension : how wTill it sink ? The rounded grains of sand wrill reach the bottom first, because they encounter least re sistance, the mica afterward, and when the tide recedes we have the little plates shining like spangles upon the surface of the sand. Each successive tide brings its charge of mixed powder, deposits its duplex layer day after day, and finally masses of immense thickness are piled up, which by preserving the alternations of sand and mica tell the tale of their formation. Take the sand and tnica, and mix them together in water, and allow them to subside ; they will ar range themselves in the manner indicated, and by repeating the process you can actually build up a mass which shall be the exact counterpart of that presented by Nature. Now this structure cleaves with readiness along the planes in which the particles of mica are strewn. Specimens of such a rock sent to me from Halifax, and other masses from the quarries of Over Darwen in Lancashire, are here before you. With a hammer and chisel I can cleave them into flags ; indeed, these flags are employed for roofing purposes in the districts from which the specimens have come, and receive the name of " slate-stone." But you will discern without a word from me, that this cleavage is not a crystalline cleavage any more than that of a hay-rick. It is molar, not molec ular. This, so far as I am aware of, has never been imagined, SLATES. 387 and it lias been agreed among geologists not to call such splitting as this cleavage at all, but to restrict the term to a phenomenon of a totally different character. Those who have visited the slate-quarries of Cumberland and North Wales will have witnessed the phenomenon to which I refer. We have long drawn our supply of roofing- slates from such quarries ; school-boys ciphered on these slates, they were used for tombstones in church-yards, and for billiard-tables in the metropolis ; but not until a com paratively late period did men begin to inquire how their wonderful structure was produced. What is the agency which enables us to split Honister Crag, or the cliffs of Snowdon, into laminae from crown to base ? This question is at the present moment one of the great difficulties of geologists, and occupies their attention perhaps more than any other. You may wonder at this. Looking into the quarry of Penrhyn, you may be disposed to offer the ex planation I heard given two years ago. " These planes of cleavage," said a friend who stood beside me on the quarry's edge, " are the planes of stratification which have been lifted by some convulsion into an almost vertical position." But this was a mistake, and indeed here lies the grand diffi culty of the problem. The planes of cleavage stand in most cases at a high angle to the bedding. Thanks to Sir Roder ick Murchison, I am able to place the proof of this before you. Here is a specimen of slate in which both the planes of cleavage and of bedding are distinctly marked, one of them making a large angle with the other. This is com mon. The cleavage of slates, then, is not a question of stratification ; what, then, is its cause ? In an able and elaborate essay published in 1835, Pro fessor Sedgwick proposed the theory that cleavage is due to the action of crystalline or polar forces subsequent to the consolidation of the rock. " We may affirm," he says, " that no retreat of the parts, no contraction of dimensions in pass- 388 I'KACMKNTS OF SCIENCE. ing to a solid state, can explain such phenomena. They appear to me only resolvable on the supposition that crystal line or polar forces acted upon the whole mass simultane ously in one direction and with adequate force." And again, in another place : " Crystalline forces have rearranged whole mountain-masses, producing a beautiful crystalline cleavage, passing alike through all the strata." ] The utterance of such a man struck deep, as it ought to do, into the minds of geologists, and at the present day there are few who do not entertain this view either in whole or in part.3 The boldness of the theory, indeed, has, in some cases, caused speculation to run riot, and we have books published on the action cf polar forces and geologic magnetism, which rather astonish those who know something about the subject. Ac cording to this theory, whole districts of North Wales and Cumberland, mountains included, are neither more nor less than the parts of a gigantic crystal. These masses of slate were originally fine mud, composed of the broken and abraded particles of older rocks. They contain silica, alu mina, potash, soda, and mica, mixed mechanically together. In the course of ages the mixture became consolidated, and the theory before us assumes that a process of crystalliza tion afterward rearranged the particles and developed in it a single plane of cleavage. Though a bold, and I think in admissible, stretch of analogies, this hypothesis has done 1 Transactions of the Geological Society, scr. ii. vol. iii. p. 477. 2 In a letter to Sir Charles Lyell, dated from the Cape of Good Hope February 20, 1836, Sir John Herschel writes as follows : " If rocks have been so heated as to allow of a commencement of crystallization, that is to say, if they have been heated to a point at which the particles can be gin to move among themselves, or at least on their own axes, some gen eral law must then determine the position in which these particles will rest on cooling. Probably that position will have some relation to the direction in which the heat escapes. Now, when all or a majority of par ticles of the same nature have a general tendency to cue position, that must of course determine a cleavage plane." SLATES. 389 good service. Right or wrong, a thoughtfully - uttered theory has a dynamic pow.er which operates against intel lectual stagnation; and even by provoking opposition is eventually of service to the cause of truth. It would, how ever, have been remarkable if, among the ranks of geolo gists themselves, men were not found to seek an explana tion of slate-cleavage involving a less hardy assumption. The first step in an inquiry of this kind is to seek facts. This has been done, and the labors of Daniel Sharpe (the late President of the Geological Society, who, to the loss of science and the sorrow of all who knew him, has so sud denly been taken away from us), Mr. Henry Clifton Sorby, and others, have furnished us with a body of facts associated with slaty cleavage, and having a most important bearing upon the question. Fossil shells are found in these slate-rocks. I have here several specimens of such shells in the actual rock, and oc cupying various positions in regard to the cleavage planes. They are squeezed, distorted, and crushed ; in all cases the distortion leads to the inference that the rock which con tains these shells has been subjected to enormous pressure in a direction at right angles to the planes of cleavage. The shells are all flattened and spread out in these planes. Compare this fossil trilobite of normal proportions with these others which have suffered distortion. Some have lain across, some along, and some oblique to the cleavage of the slate in which they are found ; but in all cases the dis tortion is such as required for its production a compressing force acting at right angles to the planes of cleavage. As the trilobites lay in the mud, the jaws of a gigantic vice ap pear to have closed upon them and squeezed them into the shapes you see. We sometimes find a thin layer of coarse, gritty mate rial, between two layers of finer rock, through which and across the gritty layer pass the planes of lamination. The 390 I'll AC MK NTS OF SCIENCE. coarse layer is found bent by the pressure into sinuosities like a contorted ribbon. Mr. Sorby has described a striking case of this kind. This crumpling can be experimentally imitated; the amount of compression might, moreover, be roughtly estimated by supposing the contorted bed to be stretched out, its length measured and compared with the shorter distance into which it has been squeezed. We find in this way that the yielding of the mass has been consider able. Let me now direct your attention to another proof of pressure ; you see the varying colors which indicate the bedding on this mass of slate. The dark portion is gritty, being composed of comparatively coarse particles, which, owing to their size, shape, and gravity, sink first and con stitute the bottom of each layer. Gradually, from bottom to top the coarseness diminishes, and near the upper sur face we have a layer of exceedingly fine mud. It is the mud thus consolidated from which are derived the German razor-stones, so much prized for the sharpening of surgical instruments. When a bed is thin, the fine white mud is permitted to rest upon a slab of the coarser slate in contact with it : when the bed is thick it is cut into slices, which are cemented to pieces of ordinary slate, and thus rendered stronger. The mud thus deposited is, as might be ex pected, often rolled up into nodular masses, carried for ward, and deposited among coarser material by the rivers from which the slate-mud has subsided. Here are such nodules enclosed in sandstone. Everybody, moreover, who has ciphered upon a school-slate must remember the whitish- green spots which sometimes dotted the surface of the slate, and over which the pencil usually slid as if the spots were greasy. Now these spots are composed of the finer mud, and they could not, on account of their fineness, bite the pencil like the surrounding gritty portions of the slate. Here is a beautiful example of these spots : you observe SLATES. 391 them 011 the cleavage surface in broad round patches. But turn the slate edgeways and the section of each nodule is seen to be a sharp oval, with its longer axis parallel to the cleavage. This instructive fact has been adduced by Mr. Sorby. I have made excursions to the quarries of Wales and Cumberland, and to many of the slate-yards of London, and found the fact general. Thus we elevate a common experience of our boyhood into evidence of the highest significance as regards a most important geological problem. From the magnetic deportment of these slates, I was led to infer that these spots contain a less amount of iron than the surrounding dark slate. An analysis was made for me by Mr. Hambly in the laboratory of Dr. Percy at the School of Mines, with the following result : ANALYSIS OF SLATE. Dark Slate, two Analyses. 1. Percentage of iron 5.85 2. " " 6.13 Mean 5.99 Whitish-green Slate, 1. Percentage of iron 3.24 2. " " 3.12 Mean 3.18 According to these analyses, the quantity of iron in the dark slate immediately adjacent to the greenish spot is nearly double the quantity contained in the spot itself. This is about the proportion which the magnetic experi ments suggested. Let me now remind you that the facts brought before you are typical — each is the representative of a class. We have seen shells crushed ; the unhappy trilobites squeezed, beds contorted, nodules of greenish marl flattened ; and all these sources of independent testimony point to one and the same conclusion, namely, that slate-rocks have been C92 FRAGMENTS OF SCIENCE. subjected to enormous pressure in a direction at right angles to the planes of cleavage. In reference to Mr. Sorby's contorted bed, I have said that by supposing it to be stretched out and its length measured, it would give us an idea of the amount of yield ing of the mass above and below the bed. Such a measure ment, however, would not give the exact amount of yielding. I hold in my hand a specimen of slate with its bedding marked upon it ; the lower portions of each layer being composed of a comparatively coarse gritty material some thing like what you may suppose the contorted bed to be composed of. Now, in crossing these gritty portions^ the cleavage turns, as if tending to cross the bedding at an other angle. When the pressure began to act, the inter mediate bed, which is not entirely unyielding, suffered longitudinal pressure ; as it bent, the pressure became grad ually more lateral, and the direction of its cleavage is ex actly such as you would infer from an action of this kind — it is neither quite across the bed nor yet in the same direction as the cleavage of the slate above and below it, but inter mediate between both. Supposing the cleavage to be at right angles to the pressure, this is the direction which it ought to take across these more unyielding strata. Thus we have established the concurrence of the phe nomena of cleavage and pressure — that they accompany each other ; but the question still remains, Is the pressure sufficient to account for the cleavage ? A single geologist, as far as I am aware, answers boldly in the affirmative. This geologist is Sorby, who has attacked the question in the true spirit of a physical investigator. Call to mind the cleavage of the flags of Halifax and Over Darwen, which is caused by the interposition of layers of mica between the gritty strata. Mr. Sorby finds plates of mica to be also a constituent of slate-rock. He asks himself, what will be the effect of pressure upon a mass containing such plates SLATES. 393 confusedly mixed up in it ? It will be, he argues, and he argues rightly, to place the plates with their flat surfaces more or less perpendicular to the direction in which the pressure is exerted. He takes scales of the oxide of iron, mixes them with a fine powder, and on squeezing the mass finds that the tendency of the scales is to set themselves at right angles to the line of pressure. Along the planes of weakness produced by the scales the mass cleaves. By tests of a different character from those applied by Mr. Sorby, it might be shown how true his conclusion is, that the effect of pressure on elongated particles or plates will be such as he describes it. But while the scales must be regarded as a true cause, I should not ascribe to them a large share in the production of the cleavage. I believe that, even if the plates of mica were wholly absent, the cleavage of slate-rocks would be much the same as it is at present. Here is a mass of pure white wax : it contains no mica particles, no scales of iron, nor any thing analogous to them. Here is the self-same substance submitted to pressure. I would invite the attention of the eminent geologists now before me to the structure of this wax. No slate ever ex hibited so clean a cleavage ; it splits into laminas of sur passing tenuity, and proves at a single stroke that pressure is sufficient to produce cleavage, and that this cleavage is independent of intermixed plates or scales. I have pur posely mixed this wax with elongated particles, and am unable to say at the present moment that the cleavage is sensibly affected by their" presence — if any thing, I should say they rather impair its fineness and clearness than pro mote it. The finer the slate is the more perfect will be the re semblance of its cleavage to that of the wax. Compare the surface of the wax with the surface of this slate from Borrodale in Cumberland. You have precisely the same 394 FRAGMENTS OF SCIENCE. features in both : you see flakes clinging to the surfaces of each, which have been partially torn away in cleaving. Let any close observer compare these two effects, he will, I am persuaded, be led to the conclusion that they are the product of a common cause.1 But you will ask me how, according to my view, does pressure produce this remarkable result. This may be stated in a very few words : There is no such thing in Nature as a body of perfectly homogeneous structure. I break1 this clay which seems so uniform, and find that the fracture presents to my eyes in numerable surfaces along which it has given way, and it has yielded along those surfaces because in them the cohe sion of the mass is less than elsewhere. I break this mar ble, and even this wax, and observe the same result ; look at the mud at the bottom of a dried pond ; look to some of the ungravelled walks in Kensington Gardens on drying af ter rain — they are cracked and split, and, other circumstances being equal, they crack and split where the cohesion is least. Take then a mass of partially consolidated mud. Such a mass is divided and subdivided by interior surfaces along which the cohesion is comparatively small. Penetrate the mass in idea, and you will see it composed of numberless irregular polyhcdra bounded by surfaces of weak cohesion. Imagine such a mass subjected to pressure — it yields and spreads out in the direction of least resistance ; a the little 1 I have usually softened the wax by warming it, kneaded it with the fingers, and pressed it between thick plates of glass previously wetted. At the ordinary summer temperature the pressed wax is soft, and tears rather than rlcaves ; on this account, I cool my compressed specimens in a mixture of pounded ice and salt, and when thus cooled they split beau tifully. 2 It is scarcely necessary to say that, if the mass were squeezed equal ly in all directions, no laminated structure could be produced ; it must have room to yield in a lateral direction. Mr. Warren De la Rue informs me that he once wished to obtain white-lead in a fine granular state, and SLATES. 395 polyhedra become converted into lamina?, separated from each other by surfaces of weak cohesion, and the infallible result will be a tendency to cleave at right angles to the line of pressure. Further, a mass of dried mud is full of cavities and fis sures. If you break dried pipe-clay you see them in great numbers, and there are multitudes of them so small that you cannot see them. A flattening of these cavities must take place in squeezed mud, and this must to some extent facili tate the cleavage of the mass in the direction indicated. Although the time at my disposal has not permitted me duly to develop these thoughts, yet for the last twelve months the subject has presented itself to me almost daily under one aspect or another. I have never eaten a biscuit during this period without remarking the cleavage devel oped by the rolling-pin. You have only to break a biscuit across, and to look at the fracture, to see the laminated structure. We have here the means of pushing the anal ogy further. I invite you to compare the structure of this slate, which was subjected to a high temperature during the conflagration of Mr. Scott Russell's premises, with that of a biscuit. Air or vapor within the slate has caused it to swell, and the mechanical structure it reveals is precisely that of a biscuit. During these inquiries I have received much instruction in the manufacture of puff-paste. Here is some such paste baked under my own superintendence. The cleavage of our hills is accidental cleavage, but this is cleavage with intention. The volition of the pastry-cook has entered into its formation. It has been his aim to pre serve a series of surfaces of structural weakness, along which the dough divides into layers. Puff-paste in prepa- to accomplish this he first compressed it. The mould was conical, and permitted the lead to spread out a little laterally. The lamination was as perfect as that of slate, and it quite defeated him in his effort to ob tain a granular powder. 39G FRAGMENTS OF SCIENCE. ration must not be handled too much ; it ought, moreover, to be rolled on a cold slab, to prevent the butter from melt ing, and diffusing itself, thus rendering the paste more ho mogeneous and less liable to split. Puff-paste is, then, simply an exaggerated case of slaty cleavage. The principle which I have enunciated is so simple as to be almost trivial ; nevertheless, it embraces not only the cases mentioned, but, if time permitted, it might be shown you that the principle has a much wider range of applica tion. When iron is taken from the puddling-furnace it is more or less spongy, an aggregate in fact of small nod ules : it is at a welding heat, and at this temperature is submitted to the process of rolling. Bright, smooth bars are the result. But, notwithstanding the high heat, the nodules do not perfectly blend together. The process of rolling draws them into fibres. Here is a mass acted upon by dilute sulphuric acid, which exhibits in a striking man ner this fibrous structure. The experiment was made by my friend Dr. Percy, without any reference to the question of cleavage. Break a piece of ordinary iron, and you have a granular fracture ; beat the iron, you elongate these granules, and finally render the mass fibrous. Here are pieces of rails along which the wheels of locomotives have slidden ; the granules have yielded and become plates. They exfoliate or come off in leaves ; all these effects belong, I believe, to the great class of phenomena of which slaty cleavage forms the most prominent example.1 [I would now lay more stress on the lateral yielding, referred to in the note at the bottom of page 394, accompa nied as it is by tangential sliding, than I was prepared to do when this lecture wras given. This sliding is, I think, the principal cause of the planes of weakness both in pressed wax and slate-rock. J. T. 1871.] 1 For some further observations on this subject by Mr. Sorby and myself, see Philosophical Magazine for August, 1856. DEATH BY LIGHTNING. PEOPLE in general imagine, when they think at all about the matter, that an impression upon the nerves — a blow, for example, or the prick of a pin — is felt at the moment it is inflicted. But this is not the case. The seat of sensa tion is the brain, and to it the intelligence of any impression made upon the nerves has to be transmitted before this impression can become manifest in consciousness. The transmission, moreover, requires time, and the consequence is, that a wound inflicted on a portion of the body distant from the brain is more tardily appreciated than one inflicted adjacent to the brain. By an extremely ingenious experi mental arrangement, Helmholtz has determined the velocity of this nervous transmission, and finds it to be about one hundred feet a second, or less than one-tenth of the velocity of sound in air. If, therefore, a whale fifty feet long were wounded in the tail, it would not be conscious of the injury till half a second after the wound had been inflicted.1 But this is not the only ingredient in the delay. There can scarcely be a doubt that to every act of consciousness be longs a determinate molecular arrangement of the brain — that every thought or feeling has its physical correlative in that organ ; and nothing can be more certain than that every physical change, whether molecular or mechanical, requires time for its accomplishment. So that, besides the 1 A most admirable lecture on the velocity of nervous transmission has been published by Dr. Du Bois-Raymond in the Proceedings of the Royal Institution for 1866, vol. iv. p. 575. 398 FRAGMENTS OF SCIENCE. interval of transmission, a still further time is necessary for the brain to put itself in order — for its molecules to take up the motions or positions necessary to the completion of consciousness. Helmholtz considers that one-tenth of a second is demanded for this purpose. Thus, in the case of the whale above supposed, we have first half a second con sumed in the transmission of the intelligence through the sensor nerves to the head, one-tenth of a second consumed by the brain in completing the arrangements necessary to consciousness, and, if the velocity of transmission through the motor be the same as that through the sensor nerves, half a second in sending a command to the tail to defend itself. Thus one second and a tenth would elapse before an impression made upon its caudal nerves could be re sponded to by a whale fifty feet long. Now, it is quite conceivable that an injury might be inflicted which would render the nerves unfit to be the con ductors of the motion which results in sensation ; and if such a thing occurred, no matter how severe the injury might be, we should not be conscious of it. Or it may be that, long before the time required by the brain to complete the arrangement necessary to consciousness, its power of arrangement might be wholly suspended. In such a case also, though the injury might be of a nature to cause death, this would occur without feeling of any kind. Death in this case would be simply the sudden negation of life, without any intervention of consciousness whatever. Doubtless there are many kinds of death of this char acter. The passage of a musket-bullet through the brain is a case in point ; and the placid aspect of a man thus killed is in perfect accordance with the conclusion which might be drawn a priori from the experiments of Helmholtz. Cases of insensibility, moreover, are not uncommon which do not result in death, and after which the persons affected have DEATH BY LIGHTNING. 399 been able to testify that no pain was felt prior to the loss of consciousness. The time required for a rifle-bullet to pass clean through a man's head may be roughly estimated at a thousandth of a second. Here, therefore, we should have no room for sensation, and death would be painless. But there are other actions which far transcend in rapidity that of the rifle-bullet. A flash of lightning cleaves a cloud, appearing and disappearing in less than a hundred-thousandth of a second, and the velocity of electricity is such as would carry it in a single second over a distance almost equal to that which separates the earth and moon. It is well known that a luminous impression once made upon the retina en dures for about one-sixth of a second, and that this is the reason why we see a ribbon of light when a glowing coal is caused to pass rapidly through the air. A body illumi nated by an instantaneous flash continues to be seen for the sixth of a second after the flash has become extinct ; and if the body thus illuminated be in motion, it appears at rest at the place where the flash falls upon it. The color- top is familiar to most of us. By this instrument a disk with differently-colored sectors is caused to rotate rapidly ; the colors blend together, and, if they are chosen in the proper proportions, when the motion is sufficiently rapid the disk appears white. Such a top, rotating in a dark room and illuminated by an electric spark, appears motionless, each distinct color being clearly seen. Professor Dove has found that a flash of lightning produces the same effect. During a thunder-storm he put a color-top in exceedingly rapid motion, and found that every flash revealed the top as a motionless object with its colors distinct. If illuminated solely by a flash of lightning, the motion of all bodies on the earth's surface would, as Dove has remarked, appear suspended. A cannon-ball, for example, would have its flight apparently arrested, and would seem to hang motion- 400 FRAGMENTS OF SCIENCE. less in space as long as the luminous impression which re vealed the ball remained upon the eye. If, then, a rifle-bullet move with sufficient rapidity to destroy life without the interposition of sensation, much more is a flash of lightning competent to produce this effect. Accordingly, we have well -authenticated cases of people being struck senseless by lightning who, on recovery, had no memory of pain. The following circumstantial case is described by Hemmer : On June 30, 1788, a soldier in the neighborhood of Mannheim, being overtaken by rain, placed himself under a tree, beneath which a woman had previously taken shelter. He looked upward to see whether the branches were thick enough to afford the required protection, and, in doing so, was struck by lightning, and fell senseless to the earth. The woman at his side experienced the shock in her foot, but was not struck down. Some hours after ward the man revived, but remembered nothing about what had occurred, save the fact of his looking up at the branches. This was his last act of consciousness, and he passed from the conscious to the unconscious condition without pain. The visible marks of a lightning-stroke are usually insignificant : the hair is sometimes burnt ; slight wounds are observed; while, in some instances, a red streak marks the track of the discharge over the skin. Under ordinary circumstances, the discharge from a small Leyden-jar is exceedingly unpleasant to myself. Some time ago I happened to stand in the presence of a numerous audience, with a battery of fifteen large Leyden- jars charged beside me. Through some awkwardness on my part, I touched a wire leading from the battery, and the discharge went through my body. Life was absolutely blotted out for a very sensible interval, without a trace of pain. In a second or so consciousness returned ; I saw my- DEATH BY LIGHTNING. 401 self in the presence of the audience and apparatus, and, by the help of these external appearances, immediately con cluded that I had received the battery discharge. The in tellectual consciousness of my position was restored with exceeding rapidity, but not so the optical consciousness. To prevent the audience from being alarmed, I observed that it had often been my desire to receive accidentally such a shock, and that my wish had at length been fulfilled. But while making this remark, the appearance which my body presented to myself was that of a number of separate pieces. The arms, for example, were detached from the trunk, and seemed suspended in the air. In fact, memory and the power of reasoning appeared to be complete long before the optic nerve was restored to healthy action. But what I wish chiefly to dwell upon here is, the absolute pain- lessness of the shock ; and there cannot be a doubt that, to a person struck dead by lightning, the passage from life to death occurs without consciousness being in the least de gree implicated. It is an abrupt stoppage of sensation, unaccompanied by a pang. July 8, 1865. SCIENCE AND SPIRITS. THEIR refusal to investigate " spiritual phenomena " is often urged as a reproach to scientific men. I here propose to give a sketch of an attempt to apply to the " phenom ena " those methods of inquiry which are found available iu dealing with natural truth. Some time ago, when the spirits were particularly active in this country, a celebrated philosopher was invited, or rather entreated, by one of his friends to meet and ques tion them. He had, however, already made their acquaint ance, and did not wish to renew it. I had not been so privileged, and he therefore kindly arranged a transfer of the invitation to me. The spirits themselves named the time of meeting, and I was conducted to the place at the day and hour appointed. Absolute unbelief in the facts was by no means my con dition of mind. On the contrary, I thought it probable that some physical principle, not evident to the spiritualists themselves, might underlie their manifestations. Extraor dinary effects are produced by the accumulation of small impulses. Galileo set a heavy pendulum in motion by the well-timed puffs of his breath. Ellicot set one clock going by the ticks of another, even when the two clocks were separated by a wall. Preconceived notions can, moreover, vitiate, to an extraordinary degree, the testimony of even veracious persons. Hence my desire to witness those ex traordinary phenomena, the existence of which seemed placed beyond a doubt by the known veracity of those who li;i;l Avitnessed and described them. The meeting took SCIENCE AND SPIRITS. 403 place at a private residence in the neighborhood of Lon don. My host, his intelligent wife, and a gentleman who may be called X., were in the house when I arrived. 1 was informed that the " medium " had not yet made her appearance ; that she was sensitive, and might resent sus picion. It was therefore requested that the tables and chairs should be examined before her arrival, in order to be assured that there was no trickery in the furniture. This was done ; and I then first learned that my hospitable host had arranged that the seance should be a dinner-party. This was to me an unusual form of investigation ; but I accepted it, as one of the accidents of the occasion. The " medium " arrived — a delicate-looking young lady, who appeared to have suffered much from ill health. I took her to dinner and sat close beside her. Facts were absent for a considerable time, a series of very wonderful narratives supplying their place. The duty of belief on testimony was frequently insisted on. X. appeared to be a chosen spiritual agent, and told us many surprising things. He affirmed that, when he took a pen in his hand, an influence ran from his shoulder downward, and impelled him to write oracular sentences. I listened for a time, offering no observation. "And now," continued X., " this power has so risen as to reveal to me the thoughts of others. Only this morning I told a friend what he was thinking of, and what he intended to do during the day." Here, I thought, is something that can be at once tested. I said immediately to X. : " If you wish 'to win to your cause an apostle, who will proclaim your principles to the world without fear, tell me what I am now thinking of." X. reddened, and did not tell me my thought. Some time previously I had visited Baron Reichenbach, in Vienna, and I now asked the young lady who sat beside me, whether she could see any of the curious things which he describes — the light emitted by crystals, for example ? 404 FRAGMENTS OF SCIENCE. Here is the conversation which followed, as extracted from my notes, written on the day following the seance: Medium. — " Oh, yes ; but I see light around all bodies." I. — " Even in perfect darkness ? " Medium. — " Yes ; I see luminous atmospheres round all people. The atmosphere which surrounds Mr. R. C. would fill this room with light." I. — " You are aware of the effects ascribed by Baron Reichenbach to magnets ? " Medium. — " Yes ; but a magnet makes me terribly ill." I. — " Am I to understand that, if this room were per fectly dark, you could tell whether it contained a magnet, without being informed of the fact ? " Medium. — " I should know of its presence on entering the room." Z— "How?" Medium. — " I should be rendered instantly ill." I. — " How do you feel to-day ? " Medium. — " Particularly well ; I have not been so well for months." I. — " Then, may I ask you whether there is, at the present moment, a magnet in my possession ? " The young lady looked at me, blushed, and stammered, " No ; I am not en rapport with you." I sat at her right hand, and a left-hand pocket, within six inches of her person, contained a magnet. Our host here deprecated discussion, as it " exhausted the medium." The wonderful narratives were resumed ; but I had narratives of my own quite as wonderful. These spirits indeed, seemed clumsy creations, compared with those with which my own researches had made me familiar. I therefore began to match the wonders related to me by other wonders. A lady present discoursed on spiritual atmospheres, which she could see as beautiful colors when SCIENCE AND SPIRITS. 405 she closed her eyes. I professed myself able to see similar colors, and more than that, to be able to see the interior of my own eyes. The medium affirmed that she could see actual waves of light coming from the sun. I retorted that men of science could tell the exact number of waves emitted in a second, and also their exact length. The medium spoke of the performances of the spirits on musical instruments. I said that such performance was gross, in comparison with a kind of music which had been discovered some time previously by a scientific man. Standing at a distance of twenty feet from a jet of gas, he could command the flame to emit a melodious note ; it would obey, and continue its song for hours. So loud was the music emitted by the gas-flame, that it might be 'heard by an assembly of a thousand people. These were acknowledged to be as great marvels as any of those of spiritdom. The spirits were then consulted, and I was pronounced to be a first- class medium. During this conversation a low knocking was heard from time to time under the table. These were the spirits' knocks. I was informed that one knock, in answer to a question, meant " No ; " that two knocks meant " Not yet ; " and that three knocks meant " Yes." In answer to the question whether I was a medium, the response was three brisk and vigorous knocks. I noticed that the knocks issued from a particular locality, and therefore requested the spirits to be good enough to answer from another corner of the table. They did not comply ; but I was assured that they would do it, and much more, by-and-by. The knocks continuing, I turned a wine-glass upside down, and placed my ear upon it, as upon a stethoscope. The spirits seemed disconcerted by the act ; they lost their playfulness, and did not quite recover it for a considerable time. Somewhat weary of the proceedings, I once threw my- 406 FRAGMENTS OF SCIENCE. self back against my chair, and gazed listlessly out of the window. While thus engaged, the table was rudely pushed. Attention was drawn to the wine, still oscillating in the glasses, and I was asked whether that was not convincing. I readily granted the fact of motion, and began to feel the delicacy of my position. There were several pairs of arms upon the table, and several pairs of legs under it ; but how was I, without offence, to express the conviction which I really entertained? To ward off the difficulty, I again turned a wine-glass upside down and rested my ear upon it. The rim of the glass was not level, and the hair on touch ing it caused it to vibrate and produce a peculiar buzzing sound. A perfectly candid and warm-hearted old gentle man at the opposite side of the table, whom I may call A., drew attention to the sound, and expressed his entire belief that it was spiritual. I, however, informed him that it was the moving hair acting on the glass. The explanation was not well received, and X., in a tone of severe pleasantry, demanded whether it was the hair that had moved the table. The promptness of my negative probably satisfied him that my notion was a very different one. The superhuman power of the spirits was next dwelt upon. The strength of man, it was stated, was unavailing in opposition to theirs. No human power could prevent the table from moving when they pulled it. During the evening this pulling of the table occurred, or rather was attempted, three times. Twice the table moved when my attention was withdrawn from it ; on a third occasion, I tried whether the act could be provoked by an assumed air of inattention. Grasping the table firmly between my knees, I threw myself back in the chair, and waited, with eyes fixed on vacancy, for the pull. It came. For some seconds it was pull spirit, hold muscle ; the muscle, how ever, prevailed, and the table remained at rest. Up to the present moment, this interesting fact is known only to the partirular spirit in (|iirstion and myself. SCIENCE AND SPIRITS. 407 A species of mental scene-painting, with which my own pursuits had long rendered me familiar, was employed to figure the changes arid distribution of spiritual power. The spirits were provided with atmospheres, which com bined with and interpenetrated each other, considerable ingenuity being shown in demonstrating the necessity of time in effecting the adjustment of the atmospheres. In fact, just as in science, the senses, time, and space, con stituted the conditions of the phenomena. A rearrange ment of our positions was proposed and carried out ; and soon afterward my attention was drawn to a scarcely sensible vibration on the part of the table. Several persons were leaning on the table at the time, and I asked permis sion to touch the medium's hand. " Oh, I know I tremble," was her reply. Throwing one leg across the other, I ac cidentally nipped a muscle, and produced thereby an in voluntary vibration of the free leg. This vibration, I knew, must be communicated to the floor, and thence to the chairs of all present. I therefore intentionally promoted it. My attention was promptly drawn to the motion ; and a gentleman beside me, whose value as a witness I was par ticularly desirous to test, expressed his belief, that it was out of the- compass of human power to produce so strange a tremor. " I believe," he added earnestly, " that it is entirely the spirits' work." " So do I," added, with heat, the candid and warm-hearted old gentleman A. " Why, sir," he continued, " I feel them at this moment shaking my chair." I stopped the motion of the leg. " Now, sir," A. exclaimed, " They are gone." I began again, and A. once more ejaculated. I could, however, notice that there were doubters present, who did not quite know what to think of the manifestations. I saw their perplexity ; and, as there was sufficient reason to believe that the disclosure of the secret would simply provoke anger, I kept it to myself, 408 FRAGMENTS OF SCIENCE. Again a period of conversation intervened, during which the spirits became animated. The evening was confessedly a dull one, but matters appeared to brighten toward its close. The spirits were requested to spell the name by which I am known in the heavenly world. Our host com menced repeating the alphabet, and when he reached the letter " P " a knock was heard. He began again, and the spirits knocked at the letter " O." I was puzzled, but waited for the end. The next letter knocked down was " E." I laughed, and remarked that the spirits were going to make a poet of me. Admonished for my levity, I was informed that the frame of mind proper for the occasion ought to have been superinduced by a perusal of the Bible immediately before the seance. The spelling, however, went on, and sure enough I came out a poet. But matters did not end here. Our host continued his repetition of the alphabet, and the next letter of the name proved to be " O." Here was manifestly an unfinished word ; and the spirits were apparently in their most communicative mood. The knocks came from under the table, but no person pres ent evinced the slightest desire to look under it. I asked whether I might go underneath ; the permission was granted ; so I crept under the table. Some tittered ; but the candid old A. exclaimed, " He has a right to look into the very dregs of it, to convince himself." Having pretty well assured myself that no sound could be produced under the table without its origin being revealed, I requested our host to continue his questions. He did so, but in vain. He adopted a tone of tender entreaty ; but the " dear spirits " had become dumb dogs, and refused to be entreated. I continued under that table for at least a quarter of an hour, after which, with a feeling of despair as regards the pros pects of humanity never before experienced, I regained my chair. Once there, the spirits resumed their loquacity, and dubbed me " Poet of Science." SCIENCE AND SPIRITS. 409 This, then, is the result of an attempt made by a scien tific man to look into these spiritual phenomena. It is not encouraging ; and for this reason : The present promoters of spiritual phenomena divide themselves into two classes, one of which needs no demonstration, while the other is beyond the reach of proof. The victims like to believe, and they do not like to be undeceived. Science is perfectly powerless in the presence of this frame of mind. It is, moreover, a state perfectly compatible with extreme intel lectual subtlety and a capacity for devising hypotheses which only require the hardihood engendered by strong conviction, or by callous mendacity, to render them impreg nable. The logical feebleness of science is not sufficiently borne in mind. It keeps down the weed of superstition, not by logic but by slowly rendering the mental soil unfit for its cultivation. When science appeals to uniform ex perience, the spiritualist will retort, " How do you know that a uniform experience will continue uniform ? You tell me that the sun has risen for six thousand years : that is no proof that it will rise to-morrow ; within the next twelve hours it may be puffed out by the Almighty." Taking this ground, a man may maintain the story of " Jack and the Bean-stalk " in the face of all the science in the world. You urge, in vain, that science has given us all the knowl edge of the universe which we now possess, while spiritual ism has added nothing to that knowledge. The drugged soul is beyond the reach of reason. It is in vain that im postors are exposed, and the special demon cast out. He has but slightly to change his shape, return to his house, and find it " empty, swept, and garnished." • December 10, 1864. 18 VITALITY. THE origin, growth, and energies of living things are subjects which have always engaged the attention of think ing men. To account for them it was usual to assume a special agent, to a great extent free from the limitations observed among the powers of inorganic Nature. This agent was called the vital force / and, under its influence, plants and animals were supposed to collect their materials and to assume determinate forms. Within the last twenty years, however, our ideas of vital processes have undergone profound modifications ; and the interest, and even dis quietude, which the change has excited in some minds arc amply evidenced by the discussions and protests which are now common regarding the phenomena of vitality. In tracing out these phenomena through all their modifications the most advanced philosophers of the present day declare that they ultimately arrive at a single source of power, from which all vital energy is derived ; and the disquieting circumstance is that this source is not the direct fiat of a supernatural agent, but a reservoir of what, if we do not accept the creed of Zoroaster, must be regarded as inor ganic force. In short, it is considered as proved that all the energy which we derive from plants and animals is drawn from the sun. A few years ago, when the sun was affirmed to be the source of life, nine out of ten of those who are alarmed by the form which this assertion has latterly assumed, would have assented, in a general way, to its correctness,. Their assent, however, was more poetical than scientific, and they VITALITY. 4H were by no means prepared to see a rigid mechanical sig nification attached to their words. This, however, is the peculiarity of modern conclusions : that there is no creative p ., energy whatever in the vegetable or animal organism, but that all the power which we obtain from the muscles of men and animals, as much as that which we develop by the combustion of wood or coal, has been produced at the sun's expense. The sun is so much colder that we may have our fires ; he is also so much colder that we may have our horse-racing and Alpine climbing. It is, for example, certain that the sun has been chilled to an extent capable of being accurately expressed in numbers, in order to fur nish the power which lifted this year a certain number of tourists from the vale of Chamouni to the summit of Mont Blanc. To most minds, however, the energy of light and heat presents itself as a thing totally distinct from ordinary me chanical energy. But either of them can be derived from the other. By the friction of wood a savage can raise it to the temperature of ignition ; by properly striking a piece of iron a skilful blacksmith can cause it to glow, and thus, by the rude agency of his hammer, he generates light and heat. This action, if carried far enough, would produce the light and heat of the sun. In fact the sun's light and heat have actually been referred to the fall of meteoric matter upon his surface ; and whether the sun is thus supported or not, it is perfectly certain that he might be thus supported. Whether, moreover, the whilom molten condition of our planet was, as supposed by eminent men, due to the collision of cosmic masses or not, it is perfectly certain that the mol ten condition might be thus brought about. [If, then, solar light and heat can be produced by the impact of dead mat ter, and if from the light and heat thus produced we can derive the energies which we have been accustomed to call vital, it indubitably follows that vital energy may have a \ proximately mechanical origin. 412 FRAGMENTS OF SCIENCE. In what sense, then, is the sun to be regarded as the origin of the energy derivable from plants and animals ? Let us try to give an intelligible answer to this question. AVater may be raised from the sea-level to a high elevation, and then permitted to descend. In descending it may be made to assume various forms — to fall in cascades, to spurt in fountains, to boil in eddies, or to flow tranquilly along a uniform bed. It may, moreover, be caused to set complex machinery in motion, to turn mill-stones, throw shuttles, work saws and hammers, and drive piles. But every form of power here indicated would be derived from the original power expended in raising the water to the height from \\liirh it fell. There is no energy generated by the ma chinery ; the work performed by the water in descending is merely the parcelling out and distribution of the work expended in raising it. In precisely this sense is all the energy of plants and animals the parcelling out and distri bution of a power originally exerted by the sun. In the case of the water, the source of the power consists in the forcible separation of a quantity of the liquid from a low level of the earth's surface and its elevation to a higher position, the power thus expended being returned by the water in its descent. In the case of vital phenomena, the source of power consists in the forcible separation of the atoms of compound substances by the sun. We name the force which draws the water earthward " gravity," and that which draws atoms together " chemical affinity ; " but these different names must not mislead us regarding the qualita tive identity of the two forces. They are both attract: and, to the intellect, the falling of carbon atoms against oxygen atoms is not more difficult of conception than the fulling of water to the earth. The building up of the vegetable, thcii) is effected by the sun through the reduction of chemical compounds. TJte phenomena of animal life are more or less coii'j'l»' YOUMANS, M.D. 12mo, 490 pages. CONTENTS. L By W. R. GROVE. The Correlation of Physical Forces. IL By Prof. HELMHOLTZ. The Interaction of Natural Forces. HI. By J. R. MATER. 1. Remarks on the Forces of Inorganic Xature. 2. On Celestial Dynamics. 3. On the Mechanical Equivalent of Herarticularly acceptable to those who wish to obtain a popular, but at tho Bame time precise and clear view of what Faraday justly calls the highest law in physical science, the principle of the conservation of force. Sufficient attention has not been paid to the publication of collected monographs or memoirs upon special subjects. Dr. Youmans' work exhibits the value of such collections in a very striking inannea, and we earnestly hope his excellent example may be followed in other branches of science." — American Journal of Science. " It was a happy thought which suggested the publication of this volume. The question is often asked, and not so easily answered, What are tho new doctrines of tho Correlation and Conservation of Forces? In this volume we have the answer, and with the reasons of its chief expounders ; those who are ignorant on that theme, can thus question the original authorities." — New Englander. ""We here have the original expositions of the new Philosophy of Forces, accompa nied by an excellent exposition of both the expositions and the expositors; tho whole will bo a rare treat to the lovers of advancing scientific thought." — MtthoditA Quarterly Review. " This is, perhaps, the most remarkable book of the age. "We have here the latest discoveries, and the highest results of thought concerning the nature, laws, and con- Elections of the forces of the universe. No higher or more sublime problem can engage the intellect of man than is discussed by these doctors of science intent alone on anir lag at the truth."— Detroit Free Press. 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