TWO:In some respects, Aristotle began not only as a disciple but as a champion of Platonism. On the popular side, that doctrine was distinguished by its essentially religious character, and by its opposition to the rhetorical training then in vogue. Now, Aristotles dialogues, of which only a few fragments have been preserved, contained elegant arguments in favour of a creative First Cause, and of human immortality; although in the writings which embody his maturer views, the first of these theories is considerably modified, and the second is absolutely rejected. Further, we are informed that Aristotle expressed himself in terms of rather violent contempt for Isocrates, the greatest living professor of declamation; and284 opened an opposition school of his own. This step has, curiously enough, been adduced as a further proof of disagreement with Plato, who, it is said, objected to all rhetorical teaching whatever. It seems to us that what he condemned was rather the method and aim of the then fashionable rhetoric; and a considerable portion of his Phaedrus is devoted to proving how much more effectually persuasion might be produced by the combined application of dialectics and psychology to oratory. Now, this is precisely what Aristotle afterwards attempted to work out in the treatise on Rhetoric still preserved among his writings; and we may safely assume that his earlier lectures at Athens were composed on the same principle.It was from mathematical science that the light of certainty first broke. Socrates had not encouraged the study of mathematics, either pure or applied; nor, if we may judge from some disparaging allusions to Hippias and his lectures in the Protagoras, did Plato at first regard it with any particular favour. He may have acquired some notions of arithmetic and geometry at school; but the intimate acquaintance with, and deep interest in them, manifested throughout his later works, probably dates from his visits to Italy, Sicily, Cyrn, and Egypt. In each of these places the exact sciences were cultivated with more assiduity than at Athens; in southern Italy they had been brought into close connexion with philosophy by a system of mystical interpretation. The glory of discovering their true speculative significance was reserved for Plato. Just as he had detected a profound analogy between the Socratic scepticism and the Heracleitean flux, so also, by another vivid intuition, he saw in the definitions and demonstrations of geometry a type of true reasoning, a particular application of the Socratic logic. Thus the two studies were brought into fruitful reaction, the one gaining a wider applicability, and the other an exacter method of proof. The mathematical spirit ultimately proved211 too strong for Plato, and petrified his philosophy into a lifeless formalism; but no extraneous influence helped so much to bring about the complete maturity of his constructive powers, in no direction has he more profoundly influenced the thought of later ages.
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THREE:"Did you find out anything about the past of those fellows?" he asked.The End
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TWO:There must, one would suppose, be some force in the Epicurean philosophy of death, for it has been endorsed by no less a thinker and observer than Shakspeare. To make the great dramatist responsible for every opinion uttered by one or other of his characters would, of course, be absurd; but when we find personages so different in other respects as Claudio, Hamlet, and Macbeth, agreeing in the sentiment that, apart from the prospect of a future judgment, there is nothing to appal us in the thought of death, we cannot avoid the inference that he is here making them the mouthpiece of his own convictions, even, as in Hamlets famous soliloquy, at the expense of every dramatic propriety. Nevertheless, the answer of humanity to such sophisms will always be that of Homers Achilles, μ? δ? μοι θ?νατ?ν γε παρα?δαTalk me not fair of death! A very simple process of reasoning will make this clear. The love of life necessarily involves a constant use of precautions against its loss. The certainty of death means the certainty that these precautions shall one day prove unavailing; the consciousness of its near approach means the consciousness that they have actually failed. In both cases the result must be a sense of baffled or arrested effort, more or less feeble when it is imagined, more or less acute when it it is realised. But this diversion of the conscious energies from their accustomed channel, this turning back of the feelings on themselves, constitutes the essence of all emotion; and where the object of the arrested energies was to avert a danger, it constitutes the emotion of fear. Thus, by an inevitable law, the love of life has for its reverse side the dread of death. Now the love of life is guaranteed by the survival of the fittest; it must last as long as the human race, for91 without it the race could not last at all. If, as Epicurus urged, the supreme desirability of pleasure is proved by its being the universal object of pursuit among all species of animals,177 the supreme hatefulness of death is proved by an analogous experience; and we may be sure that, even if pessimism became the accepted faith, the darkened prospect would lead to no relaxation of our grasp on life. A similar mode of reasoning applies to the sorrow and anguish, mortis comites et funeris atri, from which the benevolent Roman poet would fain relieve us. For, among a social species, the instinct for preserving others is second only to the instinct of self-preservation, and frequently rises superior to it. Accordingly, the loss of those whom we love causes, and must always cause us, a double distress. There is, first, the simple pain due to the eternal loss of their society, a pain of which Lucretius takes no account. And, secondly, there is the arrest of all helpful activity on their behalf, the continual impulse to do something for them, coupled with the chilling consciousness that it is too late, that nothing more can be done. So strong, indeed, is this latter feeling that it often causes the loss of those whose existence was a burden to themselves and others, to be keenly felt, if only the survivors were accustomed, as a matter of duty, to care for them and to struggle against the disease from which they suffered. Philosophy may help to fill up the blanks thus created, by directing our thoughts to objects of perennial interest, and she may legitimately discourage the affectation or the fostering of affliction; but the blanks themselves she cannot explain away, without forfeiting all claim on our allegiance as the ultimate and incorruptible arbitress of truth.
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THREE:CHAPTER V
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TWO:Attention has been called to this case as one wherein the conditions of operation obviously furnish true data to govern the arrangement of machinery, instead of the determinable strains to which the parts are subjected, and as a good example of the importance of studying mechanical conditions from a practical and experimental point of view. If the general diameter of a shaft is based upon the exact amount of power to be transmitted, or if the diameter of a shaft at various parts is based upon the torsional stress that would be sustained at these points, such a shaft would not only fail to meet the conditions of practical use, but would cost more by attempting such an adaptation. The regular working strain to which shafts are subjected is inversely as the speed at which they run. This becomes a strong reason in favour of arranging shafts to run at a maximum speed, provided there was nothing more than first cost to consider; but there are other and more important conditions to be taken into account, principal among which are the required rate of movement where power is taken off to machines, and the endurance of bearings. CHAPTER XI