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FORE:The next step was to create a method for determining the particular configuration on which any given property of matter depends. If such a problem could be solved at all, it would be by some new system of practical analysis. Bacon did not see this because he was a Schoolman, emancipated, indeed,377 from ecclesiastical authority, but retaining a blind faith in the power of logic. Aristotle��s Organon had been the great storehouse of aids to verbal disputation; it should now be turned into an instrument for the more successful prosecution of physical researches. What definitions were to the one, that Forms should be to the other; and both were to be determined by much the same process. Now Aristotle himself had emphatically declared that the concepts out of which propositions are constructed were discoverable by induction and by induction alone. With him, induction meant comparing a number of instances, and abstracting the one circumstance, if any, in which they agreed. When the object is to establish a proposition inductively, he has recourse to a method of elimination, and bids us search for instances which, differing in everything else, agree in the association of two particular marks.541 In the Topics he goes still further and supplies us with a variety of tests for ascertaining the relation between a given predicate and a given subject. Among these, Mill��s Methods of Difference, Residues, and Concomitant Variations are very clearly stated.542 But he does not call such modes of reasoning Induction. So far as he has any general name for them at all, it is Dialectic, that is, Syllogism of which the premises are not absolutely certain; and, as a matter of nomenclature, he seems to be right. There is, undoubtedly, a process by which we arrive at general conclusions from the comparison of particular instances; but this process in its purity is nothing more nor less than induction by simple enumeration. All other reasoning requires the aid of universal propositions, and is therefore, to that extent, deductive. The methods of elimination or, as they are now called, of experiment, involve at every step the assumption of378 general principles duly specified in the chapter of Mill��s Logic where they are analysed. And wherever we can rise immediately from, a single instance to a general law, it is because the examination of that single instance has been preceded by a chain of deductive reasoning.In his criticism on the ideal theory, Aristotle argues that it is unproved; that the consequences to which it leads would be rejected by the idealists themselves; that it involves a needless addition to the sum of existence; that it neither explains the origin of things nor helps us to understand them, while taking away from them their substantial reality; that the Ideas are merely sensible objects hypostasised, like the anthropomorphic divinities of primitive men; that, to speak of them as patterns, in whose likeness the world was created, is a mere idle metaphor; that, even assuming the existence of such patterns, each individual must be made in the likeness, not of one, but of many ideas��a human being, for instance, must be modelled after the ideal biped and the ideal animal, as well as after the ideal man; while many of the ideas themselves, although all are supposed to exist absolutely, must be dependent on other and simpler types; finally, that, assuming an idea for every abstract relation, there must be ideas to represent the relation between every sensible object and its prototype, others for the new relations thus introduced, and so on to infinity.

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