THREE:

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THREE: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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THREE:It has, until lately, been customary to speak as if all that Aristotle knew about induction was contained in a few scattered passages where it is mentioned under that name in the Analytics. This, no doubt, is true, if by induction we mean simple generalisation. But if we understand by it the philosophy of experimental evidence��the analysis of those means by which, in the absence of direct observation, we decide between two conflicting hypotheses��then the Topics must be pronounced as good a discussion on the subject as was compatible with his general theory of knowledge. For he supposes that there are large classes of phenomena, including, among other things, the whole range of human life, which, not being bound by any fixed order, lie outside the scope of scientific demonstration, although capable of being determined with various degrees of probability; and here also what he has in view is not the discovery of laws, but the construction of definitions. These being a matter of opinion, could always be attacked as well as maintained. Thus the constant conflict and balancing of opposite forces, which we have learned to associate with the sublunary sphere, has its logical representative no less than the kindred ideas of uncertainty and vicissitude. And, in connexion with this side of applied logic, Aristotle has also to consider the requirements of those who took part in the public debates on disputed questions, then very common among educated Athenians, and frequently turning on verbal definitions. Hence, while we find many varieties of reasoning suggested, such as Reasoning by Analogy, Disjunctive Reasoning, Hypothetical Reasoning (though without a generalised expression for all its varieties), and, what is most remarkable, three out of Mill��s four Experimental Methods,288 we do not find that any interesting or395 useful application is made of them. Even considered as a handbook for debaters, the Topics is not successful. With the practical incompetence of a mere naturalist, Aristotle has supplied heads for arguments in such profusion and such utter carelessness of their relative importance that no memory could sustain the burden, except in the probably rare instances when a lifetime was devoted to their study.

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