ONE:[138]He turned her face up to the moonlight, and the head fell heavily back with the weight of hair. The half-closed eyes looked unseeing up to him, and the quiet lips smiled still.
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ONE:Ill go on! Sandy murmured more cheerfully. Ill have a clear half hour to myself. Maybewithout anybody talking and disturbing meI might think out some answer to all the queer things that have happened.
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ONE:
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ONE: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.
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ONE:It is only as a religious philosophy that Neo-Pythagoreanism can interest us here. Considered in this light, the principles of its adherents may be summed up under two heads. First, they taught the separate existence of spirit as opposed to matter. Unlike the Stoics, they distinguished between God and Nature, although they were not agreed as to whether their Supreme Being transcended the world or was immanent in it. This, however, did not interfere with their fundamental contention, for either alternative is consistent with his absolute immateriality. In like manner, the human soul is absolutely independent of the body which it animates; it has existed and will continue to exist for ever. The whole object of ethics, or rather of religion, is to enforce and illustrate this independence, to prevent the soul from becoming attached to its prison-house by indulgence in sensual pleasures, to guard its habitation against defiling contact with the more offensive forms of material impurity. Hence their recommendation of abstinence from wine, from animal food, and from marriage, their provisions for personal cleanliness, their use of linen instead of woollen garments, under the idea that a vegetable is purer than an animal tissue. The second article of the Pythagorean creed is that spirit, being superior to matter, has the power of interfering with and controlling its movements, that, being above space and time, it can be made manifest without any regard to the conditions which they ordinarily impose. To what an extent this belief was carried, is shown by the stories told of Pythagoras, the supposed founder of the school, and Apollonius of Tyana, its still greater representative in the first century of our era. Both were credited with an extraordinary power of working miracles and of predicting future events; but, contrary to the usual custom of mythologers, a larger measure of this power was ascribed to the one who lived in a more advanced stage of civilisation, and the composition of whose biography was separated by a250 comparatively short interval from the events which it professes to relate.389
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