THE LOGICAL STATUS OF MENTAL FACTORS 97 repressive rather than an aggressive character, and an unpleasant rather than a pleasant feeling-tone, we are not merely defining those emotions : we are classifying them— classifying them according to a hierarchy of subordinated and dichotomous principles (cf. p. 19). What distinguishes factor-analysis, therefore, from other ways of discovering how individuals and their numerous attributes can best be classified is chiefly this : whereas the ancient logician reached his definitions by examining the meanings of words, the modern factorist reaches his classifications by examining the correlations between the forms of behaviour to which those words very loosely refer. But the ulterior object is still the same ; and, whether we are describing persons or traits, the factorial concepts adopted are simply principles of classification. There is, however, a second peculiarity of factor- analysis : but this, from the logical standpoint, is only incidental. Factor-analysis, as we have seen, is quantita- tive. One of the first problems of any science as we under- stand it to-day is to devise a means for converting qualitative specifications into quantitative. The process by which the psychologist achieves this translation will more easily be understood if we think once again of the analogous but more concrete problems that arise in navigation or geo- graphy : there, too, the numerical determinations of the expert have arisen simply by progressive refinement of the cruder qualitative classifications of the plain man. From the time of Aristotle to that of Bacon, primitive science was content with the simple classificatory procedure, such as the traditional logic continued to employ. The transition from classification in terms of qualitative attributes to measurement in terms of quantitative variables was mainly accomplished by physical science during the sixteenth century. Mental science, we are told, has still to complete the change " from the Aristotelian to the Galilean viewpoint." x But even in dealing with the physical world the plain man rarely thinks in terms of measurement. 1 K. Lewin, Dynamic Theory of Personality. By the " Galilean viewpoint" seems to be understood the standpoint of experimental and mechanical science. The mechanical and dynamical interpretation, however, would appear to have been a secondary consequence of the more accurate ideas of 7