THREE:Prout was profuse. He was very anxious over those notes. He had certainly had the good fortune to take into custody one Ren Lalage, the brother to Leon Lalage, who had been murdered in the Corner House.
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THREE:Plotinus, as we have said, starts with the Aristotelian account of Matter; but by a process of dialectical manipulation, he gradually brings it into almost complete agreement with Platos conception; thus, as usual, mediating between and combining the views of his two great authorities. In the first place, he takes advantage of Aristotles distinction between intelligible and sensible Matter, to strip the latter of that positive and vital significance with which it had been clothed in the Peripatetic system. In the world of Ideas, there is an element common to all specific forms, a fundamental unity in which they meet and inhere, which may without impropriety be called their Matter. But this Matter is an eternal and divine substance, inseparably united with the fixed forms which it supports, and, therefore, something which, equally with them, receives light and life and thought from the central source of being. It is otherwise with sensible Matter, the common substance of the corporeal elements. This is, to use the energetic expression of our philosopher, a decorated corpse.481 It does not remain constantly combined with any form, but is for ever passing from one to another, without manifesting a particular preference for any. As such, it is the absolute negation of Form, and can only be conceived, if at all, by326 thinking away every sensible quality. Neither has it any quantity, for quantity means magnitude, and magnitude implies definite figure. Aristotle opposed to each particular form a corresponding privation, and placed Matter midway between them. Plotinus, on the other hand, identifies Matter with the general privation of all forms. It is at this point that he begins to work his way back to the Platonic notion of Matter as simple extension. There must, after all, be something about Matter which enables it to receive every kind of quality and figure,it must have some sort of mass or bulk, not, indeed, in any definite sense, but with an equal capacity for expansion and for contraction. Now, says Plotinus, the very indeterminateness of Matter is precisely the capacity for extension in all directions that we require. Having no principle of stability, but being borne towards every form, and easily led about in all directions, it acquires the nature of a mass.482
THREE: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.18This method of treating the subject of motive-engines will no doubt be presenting it in a new way, but it is merely beginning at an unusual place. A learner who commences with first principles, instead of pistons, valves, connections, and bearings, will find in the end that he has not only adopted the best course, but the shortest one to understand steam and other expansive engines.
THREE:CHAPTER XLVI. HETTY LEARNS SOMETHING."Didn't hear either about it?"