ONE:Not to the townsmens bane,The most important result of the old Pythagorean teaching was, that it contributed a large elementsomewhat too large, indeed,to Platos philosophy. Neo-Pythagoreanism bears precisely the same relation to that revived Platonism which was the last outcome of ancient thought. It will be remembered that the great controversy between Stoicism and Scepticism, which for centuries divided the schools of Athens, and was passed on by them to Cicero and his contemporaries, seemed tending towards a reconciliation based on a return to the founder of the Academy, when, from whatever cause, Greek speculation came to a halt, which continued until the last third of the first century after Christ. At that epoch, we find a great revival of philosophical interest, and this revival seems to have been maintained for at least a hundred years, that is to say, through the whole of what is called the age of the Antonines. In the struggle for existence among the rival sects which ensued, Platonism started with all the advantages that a great inheritance and a great name could bestow. At the commencement of this period, we find the Academy once more professing to hold the doctrines of its founder in their original purity and completeness. Evidently the sober common-sense view of Antiochus had been discarded, and Platos own writings were taken as an authoritative standard of truth. A series of industrious commentators undertook the task of elucidating their contents. Nor was it only in the schools that their influence was felt. The beauty of their style must have strongly recommended the Dialogues to the attention of literary men. Plutarch, the most considerable Greek writer of his time, was a declared Platonist. So251 also was the brilliant African novelist, Apuleius, who flourished under Marcus Aurelius. Celsus, the celebrated anti-Christian controversialist, and Maximus, the Tyrian rhetorician, professed the same allegiance; and the illustrious physiologist Galen shows traces of Platonic influence. Platonism, as first constituted, had been an eminently religious philosophy, and its natural tendencies were still further strengthened at the period of its revival by the great religious reaction which we have been studying in the present chapter; while, conversely, in the struggle for supremacy among rival systems, its affinities with the spirit of the age gave it an immense advantage over the sceptical and materialistic philosophies, which brought it into still closer sympathy with the currents of popular opinion. And its partisans were drawn even further in the same direction by the influence of Neo-Pythagoreanism, representing, as this did, one among the three or four leading principles which Plato had attempted to combine.
TWO:
ONE:The favourable reception which the articles on "Shop Manipulation" met with during their serial publication, and various requests for their reproduction in the form of a book, has led to the present edition."Forget it," she said, hoarsely. "I--I never meant a word of it. Leave me now. Send me something to soothe these frayed nerves of mine. Only leave me alone."
TWO:"Well, there is a huge fire yonder; everything is burning!"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
ONE:In respect to lathe manipulation, which is perhaps the most difficult to learn of all shop operations, the following hints are given, which may prove of service to a learner: At the beginning the form of tools should be carefully studied; this is one of the great points in lathe work; the greatest distinction between a thorough and indifferent latheman is that one knows the proper form and temper of tools and the other does not. The adjustment and presenting of tools is soon learned by experience, but the proper form of tools is a matter of greater difficulty. One of the first things to study is the shape of cutting edges, both as to clearance below the edge of the tool, and the angle of the edge, with reference to both turning and boring, because the latter is different from turning. The angle of lathe tools is clearly suggested by diagrams, and there is no better first lesson in drawing than to construct diagrams of cutting angles for plane and cylindrical surfaces.
TWO:That Plato put forward the ethical theory of the Protagoras in perfect good faith cannot, we think, be doubted; although in other writings he has repudiated hedonism with contemptuous aversion; and it seems equally evident that this was his earliest contribution to positive thought. Of all his theories it is the simplest and most Socratic; for Socrates, in endeavouring to reclaim the foolish or vicious, often spoke as if self-interest was the paramount principle of human nature; although, had his assumption been formulated as an abstract proposition, he too might have shrunk from it with something of the uneasiness attributed to Protagoras. And from internal evidence of another description we have reason to think that the Dialogue in question is a comparatively juvenile production, remembering always that the period of youth was much more189 protracted among the Greeks than among ourselves. One almost seems to recognise the hand of a boy just out of college, who delights in drawing caricatures of his teachers; and who, while he looks down on classical scholarship in comparison with more living and practical topics, is not sorry to show that he can discuss a difficult passage from Simonides better than the professors themselves.Still, taking it altogether, the life of Aristotle gives one the impression of something rather desultory and dependent, not proudly self-determined, like the lives of the thinkers who went before him. We are reminded of the fresh starts and the appeals to authority so frequent in his writings. He is first detained at Athens twenty years by the attraction of Plato; and no sooner is Plato gone, than he falls under the influence of an entirely different characterHermeias. Even when his services are no longer needed he lingers near the Macedonian Court, until Alexanders departure leaves him once more without a patron. The most dignified period of291 his whole career is that during which he presided over the Peripatetic School; but he owes this position to foreign influence, and loses it with the temporary revival of Greek liberty. A longer life would probably have seen him return to Athens in the train of his last patron Antipater, whom, as it was, he appointed executor to his will. This was just the sort of character to lay great stress on the evidentiary value of sensation and popular opinion. It was also the character of a conservative who was likely to believe that things had always been very much what they were in his time, and would continue to remain so ever afterwards. Aristotle was not the man to imagine that the present order of nature had sprung out of a widely different order in the remote past, nor to encourage such speculations when they were offered to him by others. He would not readily believe that phenomena, as he knew them, rested on a reality which could neither be seen nor felt. Nor, finally, could he divine the movements which were slowly undermining the society in which he lived, still less construct an ideal polity for its reorganisation on a higher and broader basis. And here we at once become conscious of the chief difference separating him from his master, Plato.
