ABSTRACT
From the most complex and most abstract inferences of the developed man, down to the most rudimentary intuitions of the infant, all intelligence proceeds by the establishment of relations of likeness and unlikeness. In the most perfect kinds of compound quantitative reasoning, the authors found that each of the several intuitions through which any conclusion is reached, not only involves the relation of likeness under its highest form—that of equality—but involves it in the most various ways. They found that in descending step by step to the lower kinds of reasoning, the intuitions of likeness included in each ratiocinative act, become less numerous and less perfect; likeness of relations is necessarily involved. It was shown that the ideas of Space, Time, and Motion, arise by a discovery of the equivalence of certain states of consciousness, serial and simultaneous; and further, that no particular space, time, or motion can be thought of, without the relation of likeness being involved.
