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FORE:As might be expected, the Parmenidean paradoxes provoked a considerable amount of contradiction and ridicule. The Reids and Beatties of that time drew sundry absurd consequences from the new doctrine, and offered them as a sufficient refutation of its truth. Zeno, a young friend and20 favourite of Parmenides, took up arms in his masters defence, and sought to prove with brilliant dialectical ability that consequences still more absurd might be deduced from the opposite belief. He originated a series of famous puzzles respecting the infinite divisibility of matter and the possibility of motion, subsequently employed as a disproof of all certainty by the Sophists and Sceptics, and occasionally made to serve as arguments on behalf of agnosticism by writers of our own time. Stated generally, they may be reduced to two. A whole composed of parts and divisible ad infinitum must be either infinitely great or infinitely little; infinitely great if its parts have magnitude, infinitely little if they have not. A moving body can never come to the end of a given line, for it must first traverse half the line, then half the remainder, and so on for ever. Aristotle thought that the difficulty about motion could be solved by taking the infinite divisibility of time into account; and Coleridge, according to his custom, repeated the explanation without acknowledgment. But Zeno would have refused to admit that any infinite series could come to an end, whether it was composed of successive or of co-existent parts. So long as the abstractions of our understanding are treated as separate entities, these and similar puzzles will continue to exercise the ingenuity of metaphysicians. Our present business, however, is not to solve Zenos difficulties, but to show how they illustrate a leading characteristic of Greek thought, its tendency to perpetual analysis, a tendency not limited to the philosophy of the Greeks, but pervading the whole of their literature and even of their art. Homer carefully distinguishes the successive steps of every action, and leads up to every catastrophe by a series of finely graduated transitions. Like Zeno, again, he pursues a system of dichotomy, passing rapidly over the first half of his subject, and relaxes the speed of his narrative by going into ever-closer detail until the consummation is reached. Such a poem as the Achilleis of modern critics21 would have been perfectly intolerable to a Greek, from the too rapid and uniform march of its action. Herodotus proceeds after a precisely similar fashion, advancing from a broad and free treatment of history to elaborate minuteness of detail. So, too, a Greek temple divides itself into parts so distinct, yet so closely connected, that the eye, after separating, as easily recombines them into a whole. The evolution of Greek music tells the same tale of progressive subdivision, which is also illustrated by the passage from long speeches to single lines, and from these again to half lines in the dialogue of a Greek drama. No other people could have created mathematical demonstration, for no other would have had skill and patience enough to discover the successive identities interposed between and connecting the sides of an equation. The dialectic of Socrates and Plato, the somewhat wearisome distinctions of Aristotle, and, last of all, the fine-spun series of triads inserted by Proclus between the superessential One and the fleeting world of sense,were all products of the same fundamental tendency, alternately most fruitful and most barren in its results. It may be objected that Zeno, so far from obeying this tendency, followed a diametrically opposite principle, that of absolutely unbroken continuity. True; but the Eleatic Palamedes fought his adversaries with a weapon wrested out of their own hands; rejecting analysis as a law of real existence, he continued to employ it as a logical artifice with greater subtlety than had ever yet been displayed in pure speculation.18
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FORE:The merit of having worked up these loose materials into a connected sketch was, no doubt, considerable; but, according to Zeller, there is reason for attributing it to Theophrastus or even to Democritus rather than to Epicurus.193 On the other hand, the purely mechanical manner in which Lucretius supposes every invention to have been suggested by some accidental occurrence or natural phenomenon, is quite in the style of Epicurus, and reminds us of the method by which he is known to have explained every operation of the human mind.194"I was detained," the Countess gasped. "After all, what are a few minutes?"
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FORE:Machines are composed of parts connected together by rigid and movable joints; rigid joints are necessary because of the expense, and in most cases the impossibility, of constructing framing and other fixed detail in one piece.We have now to consider what were the speculative motives that led Aristotle to overlook these contradictions, and to find rest in a theory even less satisfactory than the earlier systems which he is always attacking with relentless animosity. The first motive, we believe, was the train of reasoning, already laid before the reader, by which universal essences, the objects of knowledge, gradually came to be identified with particular objects, the sole existing realities. For the arguments against such an identification, as put forward by our philosopher himself, still remained unanswered. The individuals comprising a species were still too transient for certainty and too numerous for comprehension. But when for the antithesis between Form and Matter was substituted the antithesis between Actuality and Possibility, two modes of evasion presented themselves. The first was to distinguish between actual knowledge and potential knowledge.355 The former corresponded to existing particulars, the latter to general ideas.253 This, however, besides breaking up the unity of knowledge, was inconsistent with the whole tenor of Aristotles previous teaching. What can be more actual than demonstration, and how can there be any demonstration of transient particulars? The other mode of reconciliation was perhaps suggested by the need of an external cause to raise Possibility into Actuality. Such a cause might be conceived with all the advantages and without the drawbacks of a Platonic Idea. It would be at once the moving agent and the model of perfection; it could reconcile the general and the particular by the simple fact of being eternal in time, comprehensive in space, and unique in kind. Aristotle found such a cause, or rather a whole series of such causes, in the celestial spheres. In his system, these bear just the same relation to terrestrial phenomena that Platos Ideas bear to the world of sense. They are, in fact, the Ideas made sensible and superficial, placed alongside of, instead of beneath or behind, the transient particulars which they irradiate and sustain.
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FORE:Lawrence flicked the ash from his cigarette.Bruce was allowed to take his own way, a result he had not confidently expected. The vulgar curiosity of the passing crowd annoyed him. Standing outside the vestry hall was a carriage and a pair of horses. Leona Lalage, seated inside, smiled brilliantly on Bruce and his companion, and the footman opened the door.
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FORE:I.VI.
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FORE:CHAPTER XXVI. STEAM-HAMMERS.
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