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ONE: TWO: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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ONE:It is now proposed to review the standard tools of a fitting shop, noticing the general principles of their construction and especially of their operation; not by drawings nor descriptions to show what a lathe or a planing machine is, nor how some particular engineer has constructed such tools, but upon the plan explained in the introduction, presuming the reader to be familiar with the names and purposes of standard machine tools. If he has not learned this much, and does not understand the names and general objects of the several operations carried [121]on in a fitting shop, he should proceed to acquaint himself thus far before troubling himself with books of any kind.76 TWO:Were Sovereignty, chief goddess among gods,The year 155 B.C. was signalised by an important event, if not in the history of ideas, at least in the history of their diffusion. This was the despatch of an embassy from the Athenian people to the Roman Senate, consisting of three philosophers, the heads of their respective schoolsCarneades the Academician, Critolaus the Peripatetic, and Diogenes the Stoic. Philosophic teaching, once proscribed at Athens, had, at the time of which we are speaking, become her chief distinction, and the most honourable profession pursued within her precincts. It was, then, as natural that an important mission should be confided to the most eminent representatives of the calling in question as that high ecclesiastics should be similarly employed by Rome in later ages, or that German university towns should send professors to represent their interests in the imperial Diet. But the same fate that befalls an established religion had befallen an established philosophy. An attempt to impose restrictions on the liberty of teaching had, indeed, been successfully resisted, and the experiment was never repeated.212 Nevertheless, the teachers themselves lost as much in true dignity as they gained in affluence and popular estimation. In all probability, the threat of death would not have induced Socrates to undertake the task which was, apparently, accepted without121 compulsion and as an honourable duty by his successors. The Athenians had made an unprovoked raid on the town of Oropus; the affair had been referred to arbitration; and the aggressors had been sentenced to pay a fine of 500 talents. It was to obtain a remission of this sentence that the three Scholarchs were sent on an embassy to the Roman Senate.
Donec sodales eros sed efficitur mattis. Integer tincidunt, felis a placerat maximus, eros nulla dapibus dui, at facilisis enim odio at velit. Aenean dictum eleifend mi sit amet luctus. Maecenas suscipit imperdiet nisi ac hendrerit. congue felis ac massa rutrum pulvinar.
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ONE:"Vis? Do you mean to say, sir, that the whole of Vis has been set on fire?"He paused with a dazed expression as he produced from his big coat a handful of what looked like streaming fire. He gave a glad cry, the cry of a mother who has found some child that she deemed to be lost. He carried the stones to his lips and kissed them. TWO:How far Plotinus was indebted to Ammonius Saccas for his speculative ideas is another question with respect to which the Pythagoreanising tendencies of his biographer may282 possibly have contributed to the diffusion of a serious misconception. What Porphyry tells us is this. Before leaving Alexandria, Plotinus had bound himself by a mutual agreement with two of his fellow-pupils, Herennius and Origines (not the Christian Father, but a pagan philosopher of the same age and name), to keep secret what they had learned by listening to the lectures of Ammonius. Herennius, however, soon broke the compact, and Origines followed his example. Plotinus then considered that the engagement was at an end, and used the results of his studies under Ammonius as the basis of his conversational lectures in Rome, the substance of which, we are left to suppose, was subsequently embodied in his published writings. But, as Zeller has pointed out, this whole story bears a suspicious resemblance to what is related of the early Pythagorean school. There also the doctrines of the master were regarded by his disciples as a mystery which they pledged themselves to keep secret, and were only divulged through the infidelity of one among their number, Philolaus. And the same critic proves by a careful examination of what are known to have been the opinions of Origines and Longinus, both fellow-pupils of Plotinus, that they differed from him on some points of essential importance to his system. We cannot, therefore, suppose that these points were included in the teaching of their common master, Ammonius.425 But if this be so, it follows that Plotinus was the real founder of the Neo-Platonic school; and, in all cases, his writings remain the great source whence our knowledge of its first principles is derived.
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ONE:CHAPTER II TWO:
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ONE:Hath Justice turned approving eyes on him;"On which paper?" TWO:Lawrence was deep in the early edition of "The Star." He nodded to Bruce and looked up from his paper eagerly.
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