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FORE:Yet, however much may be accounted for by these considerations, they still leave something unexplained. Why should one thinker after another so unhesitatingly assume that the order of Nature as we know it has issued not merely from a different but from an exactly opposite condition, from universal confusion and chaos? Their experience was far too limited to tell them anything about those vast cosmic changes which we know by incontrovertible evidence to have already occurred, and to be again in course of preparation. We can only answer this question by bringing into view what may be called the negative moment of Greek thought. The science of contraries is one, says Aristotle, and it certainly was so to his countrymen. Not only did they delight51 to bring together the extremes of weal and woe, of pride and abasement, of security and disaster, but whatever they most loved and clung to in reality seemed to interest their imagination most powerfully by its removal, its reversal, or its overthrow. The Athenians were peculiarly intolerant of regal government and of feminine interference in politics. In Athenian tragedy the principal actors are kings and royal ladies. The Athenian matrons occupied a position of exceptional dignity and seclusion. They are brought upon the comic stage to be covered with the coarsest ridicule, and also to interfere decisively in the conduct of public affairs. Aristophanes was profoundly religious himself, and wrote for a people whose religion, as we have seen, was pushed to the extreme of bigotry. Yet he shows as little respect for the gods as for the wives and sisters of his audience. To take a more general example still, the whole Greek tragic drama is based on the idea of family kinship, and that institution was made most interesting to Greek spectators by the violation of its eternal sanctities, by unnatural hatred, and still more unnatural love; or by a fatal misconception which causes the hands of innocent persons, more especially of tender women, to be armed against their nearest and dearest relatives in utter unconsciousness of the awful guilt about to be incurred. By an extension of the same psychological law to abstract speculation we are enabled to understand how an early Greek philosopher who had come to look on Nature as a cosmos, an orderly whole, consisting of diverse but connected and interdependent parts, could not properly grasp such a conception until he had substituted for it one of a precisely opposite character, out of which he reconstructed it by a process of gradual evolution. And if it is asked how in the first place did he come by the idea of a cosmos, our answer must be that he found it in Greek life, in societies distinguished by a many-sided but harmonious development of concurrent functions, and by52 voluntary obedience to an impersonal law. Thus, then, the circle is complete; we have returned to our point of departure, and again recognise in Greek philosophy a systematised expression of the Greek national genius."That is if you can find any trace of them."

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FORE:The doctrine, in its very earliest form, had left a large neutral ground between good and evil, comprehending almost all the common objects of desire and avoidance. These the Stoics now proceeded to divide according to a similar principle of arrangement. Whatever, without being morally good in the strictest sense, was either conducive to morality, or conformable to human nature, or both, they called preferable. Under this head came personal advantages, such as mental accomplishments, beauty, health, strength, and life itself; together with external advantages, such as wealth, honour, and high connexions. The opposite to preferable things they called objectionable; and what lay between the two, such as27 the particular coin selected to make a payment with, absolutely indifferent.58

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FORE:Descartes had already accomplished a great simplification of the speculative problem by summing up all existence under the two heads of extension and thought. It remained to account for these, and to reduce them to a single idea. As we have seen, they were derived from Greek philosophy, and the bond which was to unite them must be sought for in the same direction. It will be remembered that the systems of Plato and Aristotle were bounded at either extremity by a determinate and by an indeterminate principle. With the one, existence ranged between the Idea of Good at the upper end of the scale and empty space at the lower; with the other, between absolute Thought and First Matter. It was by combining the two definite terms, space and thought, that Descartes had constructed his system; and after subtracting these the two indefinite terms remained. In one respect they were even more opposed to each other than were the terms with which they had been respectively associated. The Idea403 of Good represented unity, identity, and constancy, as against plurality, difference, and change; while Aristotle��s Matter was, by its very definition, multiform, fluctuating, and indeterminate. Nevertheless, there were equally important analogies traceable between them. No very clear account could be given of either, and both were customarily described by negatives. If Matter fell short of complete existence, the Good transcended all existence. If the one was a universal capacity for assuming Forms, the other was the source whence all Forms proceeded. When the distinctive characteristics of an individual were thought away, the question might well be mooted into which principle it would return. The ambiguous use of the word Power contributed still further to their identification, for it was not less applicable to the receptive than to the productive faculty. Now we have just seen into what importance the idea of Power suddenly sprang at the Renaissance: with Bruno it was the only abiding reality of Nature; with Hobbes it was the only object of human desire.

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FORE:The work to be performed consists in cutting away the metal between the teeth of a rack, leaving a perfect outline for the teeth; and as the shape of teeth cannot well be obtained by an adjustment of tools, it must be accomplished by the shape of the tools. The shape of the tools must, therefore, be constantly maintained, [155] and as the cross section of the displaced metal is not too great, it may be assumed that the shape of the tools should be a profile of the whole space between two teeth, and such a space be cut away at one setting or one operation. By the application of certain rules laid down in a former place in reference to cutting various kinds of material, reciprocating or planing tools may be chosen instead of rotary or milling tools.

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