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The introduction of Teichmüllers name affords me an opportunity for mentioning that my attention was not directed to his brilliant researches into various questions connected with Greek philosophy, and more particularly with the systems of Plato and Aristotle, until it was too late for me to profit by them in the present work. I allude more particularly to his Studien zur Geschichte der Begriffe (Berlin, 1874), and to his recently published Literarische Fehden im vierten Jahrhundert vor Chr. (Breslau, 1881). The chief points of the former work are, that Plato was really a pantheist or monist, not, as is commonly believed and as I have myself taken for granted, a dualist; that, as a consequence of the suppression of individuality which characterises his system, he did not really accept or teach the doctrine of personal immortality, although he wished that the mass of the people should believe it; that Plato no more attributed a transcendent existence to his ideas than did Aristotle to his substantial forms; and that in putting an opposite interpretation on his old masters theory, Aristotle is guilty of gross misrepresentation. The most important point of the Literarische Fehden is that Aristotle published his Ethicsxix while Plato was still alive and engaged in the composition of his Laws, and that certain passages in the latter work, of which one relates to free-will and the other to the unity of virtue (861, A ff. and 962 ff.) were intended as a reply to Aristotles well-known criticisms on the Platonic theory of ethics.

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V.This is not making the percipi of objects their esse. Again, in the eighth chapter he tells us that the soul is in a certain way (π??) all things, since all things are either sensible or cogitable; and then he proceeds to explain what is meant by372 in a certain way. Sense and knowledge are distributed over things in such wise that their possibility is the possibility, and their actuality the actuality, of the things. They must, then, be either the things themselves or their forms. But the things themselves they are surely not, for the stone is not in the soul, but its form. In the Metaphysics, Aristotle expresses himself to the same effect, but even more explicitly. Criticising the Protagorean doctrine, he reduces it to an absurdity by urging that if there were nothing but sensibles, then nothing at all could exist in the absence of animated beings, for without them there would be no sensation. He admits that in the case supposed there would be neither feelings nor felt objects, since these presuppose a sentient subject; but adds, that for the substances (τ? ?ποκε?μενα) which produce the feeling not to exist is impossible; for there is something else besides the feeling which must necessarily exist before it.268 And immediately afterwards he clinches the argument by observing that if appearances were the only truth, there would be no independent existences, and everything would be relative, since appearances exist only in relation to some one to whom they appear. Now we need hardly say that this universal relativity was precisely what Ferrier contended for.
THREE:48It has also to be observed that the idea of utility as a test of moral goodness is quite distinct from hedonism. Plato proclaims, in the most unequivocal terms, that actions must be estimated by their consequences instead of by the feelings of sympathy or antipathy which they excite; yet no one could object more strongly to making pleasure the end of action. Thus, three distinct doctrines seem to converge in modern English ethics, of which all are traceable to Greek philosophy, but only one to Epicureanism in particular, and not ultimately to that but to the older systems whence it sprang.

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ONE:In cutting screws it is best not to refer to that mistaken convenience called a wheel list, usually stamped on some part of engine lathes to aid in selecting wheels. A screw to [127] be cut is to the lead screw on a lathe as the wheel on the screw is to the wheel on the spindle, and every workman should be familiar with so simple a matter as computing wheels for screw cutting, when there is but one train of wheels. Wheels for screw cutting may be computed not only quite as soon as read from an index, but the advantage of being familiar with wheel changes is very important in other cases, and frequently such combinations have to be made when there is not an index at hand.

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In the theory of reasoning the simple proposition is taken as a starting-point; but instead of deducing the syllogism379 from the synthesis of two premises, Aristotle reaches the premises through the conclusion. He tells us, indeed, that reasoning is a way of discovering from what we know, something that we did not know before. With him, however, it is really a process not of discovery but of proof. He starts with the conclusion, analyses it into predicate and subject or major and minor, and then, by a further analysis, introduces a middle term connecting the two. Thus, we begin with the proposition, Caius is mortal, and prove it by interpolating the notion humanity between its two extremes. From this point of view the premises are merely a temporary scaffolding for bringing the major and minor into connexion with the middle term; and this is also the reason why Aristotle recognises three syllogistic figures only, instead of the four admitted by later logicians. For, the middle may either be contained in one extreme and contain the other, which gives us the first figure; or it may contain both, which gives the second figure; or be contained in both, which gives the third; and this is an exhaustive enumeration of the possible combinations.274Near each staircase stood a blackboard on which the Germans had written that to go upstairs was prohibited under penalty of death. The Head explained that the Germans alleged that light signals had been given from the top storey.Men and women tried to break through the German cordon, but were repulsed roughly. So they threw fruit, cigars, and cigarettes at them. The lads looked gratefully at their compatriots, but for the rest stared in front of them in dismal depression. Once and again a name was called, as a relative or friend was recognised. Some shed tears.Thus, so far as was possible in such altered circumstances, did the Renaissance of the second century reproduce the271 intellectual environment from which Platos philosophy had sprung. In literature, there was the same attention to words rather than to things; sometimes taking the form of exact scholarship, after the manner of Prodicus; sometimes of loose and superficial declamation, after the manner of Gorgias. There was the naturalism of Hippias, elaborated into a system by the Stoics, and practised as a life by the new Cynics. There was the hedonism of Aristippus, inculcated under a diluted form by the Epicureans. There was the old Ionian materialism, professed by Stoics and Epicureans alike. There was the scepticism of Protagoras, revived by Aenesidmus and his followers. There was the mathematical mysticism of the Pythagoreans, flourishing in Egypt instead of in southern Italy. There was the purer geometry of the Alexandrian Museum, corresponding to the school of Cyrn. On all sides, there was a mass of vague moral preaching, without any attempt to exhibit the moral truths which we empirically know as part of a comprehensive metaphysical philosophy. And, lastly, there was an immense undefined religious movement, ranging from theologies which taught the spirituality of God and of the human soul, down to the most irrational and abject superstition. We saw in the last chapter how, corresponding to this environment, there was a revived Platonism, that Platonism was in fact the fashionable philosophy of that age, just as it afterwards became the fashionable philosophy of another Renaissance thirteen centuries later. But it was a Platonism with the backbone of the system taken out. Platos thoughts all centred in a carefully considered scheme for the moral and political regeneration of society. Now, with the destruction of Greek independence, and the absorption everywhere of free city-states into a vast military empire, it might seem as if the realisation of such a scheme had become altogether impracticable. The Republic was, indeed, at that moment realising itself under a form adapted to the altered exigencies of the time; but no Platonist could as yet recognise272 in the Christian Church even an approximate fulfilment of his masters dream. Failing any practical issue, there remained the speculative side of Platos teaching. His writings did not embody a complete system, but they offered the materials whence a system could be framed. Here the choice lay between two possible lines of construction; and each had, in fact, been already attempted by his own immediate disciples. One was the Pythagorean method of the Old Academy, what Aristotle contemptuously called the conversion of philosophy into mathematics. We saw in the last chapter how the revived Platonism of the first and second centuries entered once more on the same perilous path, a path which led farther and farther away from the true principles of Greek thought, and of Plato himself when his intellect stood at its highest point of splendour. Neo-Pythagorean mysticism meant an unreconciled dualism of spirit and matter; and as the ultimate consequence of that dualism, it meant the substitution of magical incantations and ceremonial observances for the study of reason and virtue. Moreover, it readily allied itself with Oriental beliefs, which meant a negation of natural law that the Greeks could hardly tolerate, and, under the form of Gnostic pessimism, a belief in the inherent depravity of Nature that they could not tolerate at all.
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