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FORE:It is remarkable that Aristotle, after repeatedly speaking of induction as an ascent from particulars to generals, when he comes to trace the process by which we arrive at the most general notions of any, does not admit the possibility of such a movement in one direction only. The universal and the individual are, according to him, combined in our most elementary sense-impressions, and the business of scientific393 experience is to separate them. Starting from a middle point, we work up to indivisible predicates on the one hand and down to indivisible subjects on the other, the final apprehension of both extremes being the office, not of science, but of Nous. This theory is equally true and acute. The perception of individual facts is just as difficult and just as slowly acquired as the conception of ultimate abstractions. Moreover, the two processes are carried on pari passu, each being only made possible by and through the other. No true notion can be framed without a firm grasp of the particulars from which it is abstracted; no individual object can be studied without analysing it into a group of common predicates, the idiosyncrasy of which��that is, their special combination��differentiates it from every other object. What, however, we wish to remark is the illustration incidentally afforded by this striking aper?u of Aristotle��s analytical method, which is also the essentially Greek method of thought. We saw that, for our philosopher, syllogism was not the subsumption of a particular case under a general law, but the interpolation of a mean between two extremes; we now see that his induction is not the finding of a law for the particular phenomenon, but its analysis into two elements��one universal and the other individual��a solution of the mean into the extremes. And the distinctive originality of his whole system was to fix two such extremes for the universe��a self-thinking thought in absolute self-identity at one end of the scale, and an absolutely indeterminate matter at the other; by combining which in various proportions he then re-constructed the whole intermediate phenomenal reality. In studying each particular class of facts, he follows the same method. The genus is marked by some characteristic attribute which one species��the prerogative species, so to speak��exhibits in its greatest purity, while the others form a graduated scale by variously combining this attribute with its opposite or privation. Hence his theory, since revived by Goethe, that394 the colours are so many different mixtures of light and darkness.CHAPTER LII. THE CAGE IS OPENED.

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FORE:To make this plainer, the laws of forces, the proportion of parts, strength of material, and so on, are subjects of general knowledge that may be acquired from books, and understood without the aid of an acquaintance with the technical conditions of either the mode of constructing or the manner of operating machines; but how to construct proper patterns for castings, or how the parts of machinery should be moulded, forged, or fitted, is special knowledge, and must have reference to particular cases. The proportions of pulleys, bearings, screws, or other regular details of machinery, may be learned from general rules and principles, but the hand skill that enters into the manufacture of these articles cannot be learned except by observation and experience. The general design, or the disposition of metal in machine-framing, can be to a great extent founded upon rules and constants that have general application; but, as in the case of wheels, the plans of moulding such machine frames are not governed by constant rules or performed in a uniform manner. Patterns of different kinds may be employed; moulds may be made in various ways, and at a greater and less expense; the metal can be mixed to produce a hard or a soft casting, a strong or a weak one; the conditions under which the metal is poured may govern the soundness or shrinkage,��things that are determined by special instead of general conditions.The power which Socrates possessed of rousing other minds to independent activity and apostolic transmission of spiritual gifts was, as we have said, the second verification of his doctrine. Even those who, like Antisthenes and Aristippus, derived their positive theories from the Sophists rather than from him, preferred to be regarded as his followers; and Plato, from whom his ideas received their most splendid development, has acknowledged the debt by making that venerated figure the centre of his own immortal Dialogues. A third verification is given by the subjective, practical, dialectic tendency of all subsequent philosophy properly so called. On this point we will content ourselves with mentioning one instance out of many, the recent declaration of Mr. Herbert Spencer that his whole system was constructed for the sake of its ethical conclusion.101

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