THREE:The analogy may be carried even farther. If Plato regarded the things of sense as not merely a veil, but an imperfect imitation of the only true realities; so also did Aristotle represent the sublunary elements as copying the disposition and activities of the ethereal spheres. They too have their concentric arrangementsfirst fire, then air, then water, and lastly earth in the centre; while their perpetual transformation into one another presents an image in time of the spatial rotation which those sublime beings perform. And although we think that Sir A. Grant is quite mistaken in identifying Aristotles Supreme Mind with the Idea of Good, there can be no doubt of its having been suggested by that Idea. It is, in fact, the translation of Platos abstraction into concrete reality, and the completion of a process which Plato356 had himself begun. From another point of view we may say that both master and disciple were working, each in his own way, at the solution of a problem which entirely dominates Greek philosophy from Empedocles onthe reconciliation of Parmenides and Heracleitus, Being and Becoming, the eternal and the changeful, the one and the many. Aristotle adopts the superficial, external method of placing the two principles side by side in space; and for a long time the world accepted his solution for the same reason that had commended it to his own acceptance, its apparent agreement with popular tradition and with the facts of experience. It must be confessed, however, that here also he was following the lines laid down by Plato. The Timaeus and the Laws are marked by a similar tendency to substitute astronomy for dialectics, to study the celestial movements with religious veneration, to rebuild on a scientific basis that ancient star-worship which, even among the Greeks, enjoyed a much higher authority and prestige than the humanised mythology of the poets. But for Christianity this star-worship would probably have become the official faith of the Roman world. As it is, Dantes great poem presents us with a singular compromise between the two creeds. The crystalline spheres are retained, only they have become the abode of glorified spirits instead of being the embodiment of eternal gods. We often hear it said that the Copernican system was rejected as offensive to human pride, because it removed the earth from the centre of the universe. This is a profound mistake. Its offence was to degrade the heavenly bodies by assimilating them to the earth.254 Among several planets, all revolving round the sun, there could not be any marked qualitative difference. In the theological sense there was no longer any heaven; and with the disappearance of the solid357 sidereal sphere there was no longer any necessity for a Prime Mover.
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THREE:The effect of tempering baths is as their conducting power; chemicals except as they may contribute to the conducting properties of a bath, may safely be disregarded. For baths, cold or ice water loaded with salt for extreme hardness, and warm oil for tools that are thin and do not require to be very hard, are the two extremes outside of which nothing is required in ordinary practice.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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