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TWO:What remains of the visible world after deducting its ideal elements is pure space. This, which to some seems the clearest of all conceptions, was to Plato one of the obscurest. He can only describe it as the formless substance out of which the four elements, fire, air, water, and earth, are differentiated. It closes the scale of existence and even lies half outside it, just as the Idea of Good in the Republic transcends the same scale at the other end. We may conjecture that the two principles are opposed as absolute self-identity and absolute self-separation; the whole intermediate series of forms serving to bridge over the interval between them. It will then be easy to understand how, as Aristotle tells us, Plato finally came to adopt the Pythagorean nomenclature and designated his two generating principles as the monad and the indefinite dyad. Number was formed by their combination, and all other things were made out of number. Aristotle267 complains that the Platonists had turned philosophy into mathematics; and perhaps in the interests of science it was fortunate that the transformation occurred. To suppose that matter could be built up out of geometrical triangles, as Plato teaches in the Timaeus, was, no doubt, a highly reprehensible confusion; but that the systematic study of science should be based on mathematics was an equally new and important aper?u. The impulse given to knowledge followed unforeseen directions; and at a later period Plato��s true spirit was better represented by Archimedes and Hipparchus than by Arcesilaus and Carneades.

TWO:Upon entering a shop the first thing to be done is to gain the confidence and the respect of the manager or foreman who has charge of the work; to gain such confidence and respect is different from, and has nothing to do with, social relations and must depend wholly upon what transpires in the works. To inspire the confidence of a friend one must be kind, faithful, and honourable; but to command the confidence of a foreman one must be punctual, diligent, and intelligent. There are no more kindly sentiments than those which may be founded on a regard for industry and earnest effort. A learner may have the misfortune to break tools, spoil work, and fail in every [167] way to satisfy himself, yet if he is punctual, diligent, and manifests an interest in the work, his misfortunes will not cause unkind resentment.