32 THE FACTORS OF TUli MIND The headmaster gives my argument a different t urn. He writes : " those boys who did best were the younger and more conscientious workers " ; and for him, it appears, the " essential cause of success " is rather a quality of character than of intelligence—a general factor of conscientiousness. The pupils' own class teacher offers yet another explana- tion : the student has declared that there is a factor common to the educational tests and the psychological tests, and infers that it is the ability measured by the latter that constitutes the common cause ; the teacher, accepting the same premiss, puts cause and effect the other way round : it is, he urges, not the psychological ability that Ixas produced the educational skill; it is the skill measured by the educa- tional tests, i.e. the skill imparted by his own teaching, that has enabled the pupils to solve the psychological problems, If, however, instead of dividing the tests into educational and psychological, we classify them according to the concrete nature of the various problems, we can discern quite differ- ent common factors. Some of the tests, both the psycho- logical and the educational, involve material that is primarily visual; others depends largely on memory j others again require the child to formulate an answer in words of his own. This suggests a threefold group-factor pattern con- forming with the requirements of * simple structure ' ; and, on actual trial, this pattern yields a far closer fit to the observed correlations than the hypothetical figures deduced from the writer's own saturation coefficients* On this basis, therefore, taking each group of tests in turn, we could argue with equal justice that, not the general factor common to all the tests, but the particular factor common to each limited group was the " essential cause of success n within that limited group. The main conclusion of the thesis, therefore, is by no means " confirmed beyond dispute." There are half a dozen other explanations which would account for the results just as plausibly. Where precisely, then, has the fallacy crept in ? At bottom it arises from two time- honoured errors as to the nature of inductive reasoning, errors which crop up again and again in factorial arguments : first, induction is treated as a procedure for reaching certain