FORE:When we last had occasion to speak of the Platonic school, it was represented by Polemo, one of the teachers from whose lessons Zeno the Stoic seems to have compiled his system. Under his superintendence, Platonism had completely abandoned the metaphysical traditions of its founder. Physics and dialectics had already been absorbed by Aristotelianism. Mathematics had passed into the hands of experts. Nothing remained but the theory of ethics; and, as an ethical teacher, Polemo was only distinguished from the Cynics by the elegance and moderation of his tone. Even this narrow standing-ground became untenable when exposed to the formidable competition of Stoicism. The precept, Follow Nature, borrowed by the new philosophy from Polemo, acquired a far deeper significance than he could give it, when viewed in the light of an elaborate physical system showing what Nature was, and whither her guidance led. But stone after stone had been removed from the Platonic superstructure and built into the walls of other edifices, only to bring its145 original foundation the more prominently into sight. This was the initial doubt of Socrates, widened into the confession of universal ignorance attributed to him by Plato in the Apologia. Only by returning to the exclusively critical attitude with which its founder had begun could the Academy hope to exercise any influence on the subsequent course of Greek speculation. And it was also necessary that the agnostic standpoint should be taken much more in earnest by its new representatives than by Socrates or Plato. With them it had been merely the preparation for a dogmatism even more self-confident than that of the masters against whom they fought; but if in their time such a change of front might seem compatible with the retention of their old strongholds, matters now stood on a widely different footing. Experience had shown that the purely critical position could not be abandoned without falling back on some one or other of the old philosophies, or advancing pretensions inconsistent with the dialectic which had been illustrated by their overthrow. The course marked out for Platos successors by the necessities of thought might have been less evident had not Pyrrhonism suddenly revealed to them where their opportunities lay, and at the same time, by its extinction as an independent school, allowed them to step into the vacant place.There is nothing more interesting, or at the same time more useful, in the study of mechanics, than to analyse the action of cutting machines or other machinery of application, and to ascertain in examples that come under notice whether the main object of a machine is increased force, more accurate guidance, or greater speed than is attainable by hand operations. Cutting machines as explained may be directed to either of these objects singly, or to all of them together, or these objects may vary in their relative importance in different operations; but in all cases where machines are profitably employed, their action can be traced to one or more of the functions named.
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