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THREE:Whether Plato ever succeeded in making the idea of Good quite clear to others, or even to himself, is more than we can tell. In the Republic he declines giving further explanations on the ground that his pupils have not passed through the necessary mathematical initiation. Whether quantitative reasoning was to furnish the form or the matter of transcendent dialectic is left undetermined. We are told that on one occasion a large audience assembled to hear Plato lecture on229 the Good, but that, much to their disappointment, the discourse was entirely filled with geometrical and astronomical investigations. Bearing in mind, however, that mathematical science deals chiefly with equations, and that astronomy, according to Plato, had for its object to prove the absolute uniformity of the celestial motions, we may perhaps conclude that the idea of Good meant no more than the abstract notion of identity or indistinguishable likeness. The more complex idea of law as a uniformity of relations, whether coexistent or successive, had not then dawned, but it has since been similarly employed to bring physics into harmony with ethics and logic.

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THREE:Irregularity of cooling may be the result of unequal conducting power in different parts of a mould or cores, or it may be [98] from the varying dimensions of the castings, which contain heat as their thickness, and give it off in the same ratio. As a rule, the drag or bottom side of a casting cools first, especially if a mould rests on the ground, and there is not much sand between the castings and the earth; this is a common cause of unequal cooling, especially in large flat pieces. Air being a bad conductor of heat, and the sand usually thin on the cope or top side, the result is that the top of moulds remain quite hot, while at the bottom the earth, being a good conductor, carries off the heat and cools that side first, so that the iron 'sets' first on the bottom, afterwards cooling and contracting on the top, so that castings are warped and left with inherent strains.

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THREE:There is a story that Plato used to thank the gods, in what some might consider a rather Pharisaic spirit, for having made him a human being instead of a brute, a man instead of a woman, and a Greek instead of a barbarian; but more than179 anything else for having permitted him to be born in the time of Socrates. It will be observed that all these blessings tended in one direction, the complete supremacy in his character of reason over impulse and sense. To assert, extend, and organise that supremacy was the object of his whole life. Such, indeed, had been the object of all his predecessors, and such, stated generally, has been always and everywhere the object of philosophy; but none had pursued it so consciously before, and none has proclaimed it so enthusiastically since then. Now, although Plato could not have done this without a far wider range of knowledge and experience than Socrates had possessed, it was only by virtue of the Socratic method that his other gifts and acquisitions could be turned to complete account; while, conversely, it was only when brought to bear upon these new materials that the full power of the method itself could be revealed. To be continually asking and answering questions; to elicit information from everybody on every subject worth knowing; and to elaborate the resulting mass of intellectual material into the most convenient form for practical application or for further transmission, was the secret of true wisdom with the sage of the market-place and the workshop. But the process of dialectic investigation as an end in itself, the intense personal interest of conversation with living men and women of all classes, the impatience for immediate and visible results, had gradually induced Socrates to restrict within far too narrow limits the sources whence his ideas were derived and the purposes to which they were applied. And the dialectic method itself could not but be checked in its internal development by this want of breadth and variety in the topics submitted to its grasp. Therefore the death of Socrates, however lamentable in its occasion, was an unmixed benefit to the cause for which he laboured, by arresting (as we must suppose it to have arrested) the popular and indiscriminate employment of his cross-examining method,180 liberating his ablest disciple from the ascendency of a revered master, and inducing him to reconsider the whole question of human knowledge and action from a remoter point of view. For, be it observed that Plato did not begin where Socrates had left off; he went back to the germinal point of the whole system, and proceeded to reconstruct it on new lines of his own. The loss of those whom we love habitually leads our thoughts back to the time of our first acquaintance with them, or, if these are ascertainable, to the circumstances of their early life. In this manner Plato seems to have been at first occupied exclusively with the starting-point of his friend��s philosophy, and we know, from the narrative given in the Apologia, under what form he came to conceive it. We have attempted to show that the account alluded to cannot be entirely historical. Nevertheless it seems sufficiently clear that Socrates began with a conviction of his own ignorance, and that his efforts to improve others were prefaced by the extraction of a similar confession of ignorance on their part. It is also certain that through life he regarded the causes of physical phenomena as placed beyond the reach of human reason and reserved by the gods for their own exclusive cognisance, pointing, by way of proof, to the notorious differences of opinion prevalent among those who had meddled with such matters. Thus, his scepticism worked in two directions, but on the one side it was only provisional and on the other it was only partial. Plato began by combining the two. He maintained that human nescience is universal and necessary; that the gods had reserved all knowledge for themselves; and that the only wisdom left for men is a consciousness of their absolute ignorance. The Socratic starting-point gave the centre of his agnostic circle; the Socratic theology gave the distance at which it was described. Here we have to note two things��first, the breadth of generalisation which distinguishes the disciple from the master; and, secondly, the symptoms of a strong181 religious reaction against Greek humanism. Even before the end of the Peloponnesian War, evidence of this reaction had appeared, and the Bacchae of Euripides bears striking testimony to its gloomy and fanatical character. The last agony of Athens, the collapse of her power, and the subsequent period of oligarchic terrorism, must have given a stimulus to superstition like that which quite recently afflicted France with an epidemic of apparitions and pilgrimages almost too childish for belief. Plato followed the general movement, although on a much higher plane. While looking down with undisguised contempt on the immoral idolatry of his countrymen, he was equally opposed to the irreligion of the New Learning, and, had an opportunity been given him, he would, like the Reformers of the sixteenth century, have put down both with impartial severity. Nor was this the only analogy between his position and that of a Luther or a Calvin. Like them, and indeed like all great religious teachers, he exalted the Creator by enlarging on the nothingness of the creature; just as Christianity exhibits the holiness of God in contrast and correlation with the sinfulness of unregenerate hearts; just as to Pindar man��s life seemed but the fleeting shadow in a dream when compared with the beauty and strength and immortality of the Olympian divinities; so also did Plato deepen the gloom of human ignorance that he might bring out in dazzling relief the fulness of that knowledge which he had been taught to prize as a supreme ideal, but which, for that very reason, seemed proper to the highest existences alone. And we shall presently see how Plato also discovered a principle in man by virtue of which he could claim kindred with the supernatural, and elaborated a scheme of intellectual mediation by which the fallen spirit could be regenerated and made a partaker in the kingdom of speculative truth.The germ of this new dogmatism was present in Plato��s mind from the very beginning, and was partly an inheritance from older forms of thought. The Apologia had reproduced one important feature in the positive teaching of Socrates��the distinction between soul and body, and the necessity of attending to the former rather than to the latter: and this had now acquired such significance as to leave no standing-room for the agnosticism with which it had been incompatible from the first. The same irresistible force of expansion which had brought the human soul into communion with absolute truth, was to be equally verified in a different direction. Plato was too much interested in practical questions to be diverted from them long by any theoretical philosophy; or, perhaps, we should rather say that this interest had accompanied and inspired him throughout. It is from the essential relativity of mind, the profound craving for intellectual sympathy with other minds, that all mystical imaginations and super-subtle abstractions take rise; so that, when the strain of transcendent absorption and ecstasy is relaxed under the chilling but beneficent contact of earthly experience, they become216 condensed into ideas for the reconstitution of life and society on a basis of reciprocity, of self-restraint, and of self-devotion to a commonwealth greater and more enduring than any individual, while, at the same time, presenting to each in objective form the principle by virtue of which only, instead of being divided, he can become reconciled with himself. Here we have the creed of all philosophy, whether theological, metaphysical, or positive, that there is, or that there should be, this threefold unity of feeling, of action, and of thought, of the soul, of society, and of universal existence, to win which is everlasting life, while to be without it is everlasting death. This creed must be re-stated and re-interpreted at every revolution of thought. We have to see how it was, for the first time, stated and interpreted by Plato.

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