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. Aristotles 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, Mills 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 Mills 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.The final defeat of polytheism proved, in some respects, an advantage to Neo-Platonism, by compelling it to exchange theological controversy for studies which could be prosecuted, at least for a time, without giving umbrage to the dominant religion. At Alexandria the new spiritualism was associated, on genuinely Platonic principles, with the teaching of geometry by the noble and ill-fated Hypatia. In all the Neo-Platonic schools, whether at Rome, at Alexandria, at Constantinople, or at Athens, the writings of Plato and Aristotle were attentively studied, and made the subject of numerous commentaries, many of which are still extant. This return to the two great masters of idealism was, as we have already said, the most valuable result of the metaphysical revival, and probably contributed more than any other cause to the preservation of their works amidst the general wreck of ancient philosophical literature. Finally, efforts were made to present the doctrine of Plotinus under a more popular or a more scientific form, and to develope it into systematic completeness.
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