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FORE:5. Every part laid down has something to govern it that may be termed a "base"��some condition of function or position which, if understood, will suggest size, shape, and relation to other parts. By searching after a base for each and every part and detail, the draughtsman proceeds upon a regular system, continually maintaining a test of what is done. Every wheel, shaft, screw or piece of framing should be made with a clear view of the functions it has to fill, and there are, as before said, always reasons why such parts should be of a certain size, have such a speed of movement, or a certain amount of bearing surface, and so on. These reasons or conditions may be classed as expedient, important, or essential, and must be estimated accordingly. As claimed at the beginning, the designs of machines can only in a limited degree be determined by mathematical data. Leaving out all considerations of machine operation with which books have scarcely attempted to deal, we have only to refer to the element of strains to verify the general truth of the proposition.

FORE:So far, we have spoken as if the Socratic definitions were merely verbal; they were, however, a great deal more, and their author did not accurately discriminate between what at that stage of thought could not well be kept apart��explanations of words, practical reforms, and scientific generalisations. For example, in defining a ruler to be one who knew more than other men, he was departing from the common usages of language, and showing not what was, but what ought to be true.93 And in defining virtue as wisdom, he was putting forward a new theory of his own, instead of formulating the145 received connotation of a term. Still, after making every deduction, we cannot fail to perceive what an immense service was rendered to exact thought by introducing definitions of every kind into that department of enquiry where they were chiefly needed. We may observe also that a general law of Greek intelligence was here realising itself in a new direction. The need of accurate determination had always been felt, but hitherto it had worked under the more elementary forms of time, space, and causality, or, to employ the higher generalisation of modern psychology, under the form of contiguous association. The earlier cosmologies were all processes of circumscription; they were attempts to fix the limits of the universe, and, accordingly, that element which was supposed to surround the others was also conceived as their producing cause, or else (in the theory of Heracleitus) as typifying the rationale of their continuous transformation. For this reason Parmenides, when he identified existence with extension, found himself obliged to declare that extension was necessarily limited. Of all the physical thinkers, Anaxagoras, who immediately precedes Socrates, approaches, on the objective side, most nearly to his standpoint. For the governing Nous brings order out of chaos by segregating the confused elements, by separating the unlike and drawing the like together, which is precisely what definition does for our conceptions. Meanwhile Greek literature had been performing the same task in a more restricted province, first fixing events according to their geographical and historical positions, then assigning to each its proper cause, then, as Thucydides does, isolating the most important groups of events from their external connexions, and analysing the causes of complex changes into different classes of antecedents. The final revolution effected by Socrates was to substitute arrangement by difference and resemblance for arrangement by contiguity in coexistence and succession. To say that by so doing he created science is inexact, for science requires to consider nature under every146 aspect, including those which he systematically neglected; but we may say that he introduced the method which is most particularly applicable to mental phenomena, the method of ideal analysis, classification, and reasoning. For, be it observed that Socrates did not limit himself to searching for the One in the Many, he also, and perhaps more habitually, sought for the Many in the One. He would take hold of a conception and analyse it into its various notes, laying them, as it were, piecemeal before his interlocutor for separate acceptance or rejection. If, for example, they could not agree about the relative merits of two citizens, Socrates would decompose the character of a good citizen into its component parts and bring the comparison down to them. A good citizen, he would say, increases the national resources by his administration of the finances, defeats the enemy abroad, wins allies by his diplomacy, appeases dissension by his eloquence at home.94 When the shy and gifted Charmides shrank from addressing a public audience on public questions, Socrates strove to overcome his nervousness by mercilessly subdividing the august Eccl��sia into its constituent classes. ��Is it the fullers that you are afraid of?�� he asked, ��or the leather-cutters, or the masons, or the smiths, or the husbandmen, or the traders, or the lowest class of hucksters?��95 Here the analytical power of Greek thought is manifested with still more searching effect than when it was applied to space and motion by Zeno.We have illustrated the position of Cicero by reference to the master who, more than any other Greek philosopher, seems to have satisfied his ideal of perfect wisdom. We must now observe that nothing is better calculated to show how inadequate was the view once universally taken of Socrates, and still, perhaps, taken by all who are not scholars, than that it should be applicable in so many points to Cicero as well. For, while the influence of the one on human thought was the greatest ever exercised by a single individual, the influence of the other was limited to the acceleration of a movement already in full activity, and moreover tending on the whole in a retrograde direction. The immeasurable superiority of the Athenian lies in his dialectical method. It was not by a mere elimination of differences that he hoped to establish a general agreement, but by reasoning down from admitted principles, which were themselves to be the result of scientific induction brought to bear on a comprehensive and ever-widening area of experience. Hence his scepticism, which was directed against authority, tended as much to stimulate enquiry as that of the Roman declaimer, which was directed against reason, tended to deaden or to depress it. Hence, also, the political philosophy of Socrates was as revolutionary as that of his imitator was conservative. Both were, in a certain sense, aristocrats; but while the aristocracy176 of the elegant rhetorician meant a clique of indolent and incapable nobles, that of the sturdy craftsman meant a band of highly-trained specialists maintained in power by the choice, the confidence, and the willing obedience of an intelligent people. And while the religion of Cicero was a blind reliance on providence supplemented by priestcraft in this world, with the hope, if things came to the worst, of a safe retreat from trouble in the next; the religion of Socrates was an active co-operation with the universal mind, an attempt to make reason and the will of God prevail on earth, with the hope, if there was any future state, of carrying on in it the intellectual warfare which alone had made life worth living here. No less a contrast could be expected between the orator who turned to philosophy only for the occupation of a leisure hour, or for relief from the pangs of disappointed ambition, and the thinker who gave her his whole existence as the elect apostle and martyr of her creed.