THREE:Speculation now leaves its Asiatic cradle and travels with the Greek colonists to new homes in Italy and Sicily, where new modes of thought were fostered by a new environment. A name, round which mythical accretions have gathered so thickly that the original nucleus of fact almost defies definition, first claims our attention. Aristotle, as is well known, avoids mentioning Pythagoras, and always speaks of the Pythagoreans when he is discussing the opinions held by a certain Italian school. Their doctrine, whoever originated it, was that all things are made out of number. Brandis regards Pythagoreanism as an entirely original effort of speculation,11 standing apart from the main current of Hellenic thought, and to be studied without reference to Ionian philosophy. Zeller, with more plausibility, treats it as an outgrowth of Anaximanders system. In that system the finite and the infinite remained opposed to one another as unreconciled moments of thought. Number, according to the Greek arithmeticians, was a synthesis of the two, and therefore superior to either. To a Pythagorean the finite and the infinite were only one among several antithetical couples, such as odd and even, light and darkness, male and female, and, above all, the one and the many whence every number after unity is formed. The tendency to search for antitheses everywhere, and to manufacture them where they do not exist, became ere long an actual disease of the Greek mind. A Thucydides could no more have dispensed with this cumbrous mechanism than a rope-dancer could get on without his balancing pole; and many a schoolboy has been sorely puzzled by the fantastic contortions which Italiote reflection imposed for a time on Athenian oratory.
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ONE:CHAPTER III THE SKY PATROL ORGANIZESYet there was a difference between them, marking off each as the head of a whole School much wider than the Academy or the Lyceum; a difference which we can best express by saying that Plato was pre-eminently a practical, Aristotle pre-eminently a speculative genius. The object of the one was to reorganise all human life, that of the other to reorganise all human knowledge. Had the one lived earlier, he would more probably have been a great statesman or a great general than a great writer; the other would at no time have been anything but a philosopher, a mathematician, or a historian. Even from birth they seemed to be respectively marked out for an active and for a contemplative life: the one, a citizen of the foremost State in Hellas, sprung from a family in which political ambition was hereditary, himself strong, beautiful, fascinating, eloquent, and gifted with the keenest insight into mens capacities and motives; the other a Stagirite and an Asclepiad, that is to say, without opportunities for a public career, and possessing a hereditary aptitude for anatomy and natural history, fitted by his insignificant person and delicate constitution for sedentary pursuits, and better able to acquire a knowledge even of human nature from books than from a living converse with men and affairs. Of course, we are not for a moment denying to Plato a fore294most place among the masters of those who know; he embraced all the science of his age, and to a great extent marked out the course which the science of future ages was to pursue; nevertheless, for him, knowledge was not so much an end in itself as a means for the attainment of other ends, among which the preservation of the State seems to have been, in his eyes, the most important.M Aristotle, on the other hand, after declaring happiness to be the supreme end, defines it as an energising of mans highest nature, which again he identifies with the reasoning process or cognition in its purest form.
ONE:The prevailing custom of casting machine frames in one piece, or in as few pieces as possible, leads to a great deal of bar-boring, most of which can be performed accurately enough by boring bars supported in and fed through bearings. By setting up temporary bearings to support boring-bars, and improvising means of driving and feeding, most of the boring on machine frames can be performed on floors or sole plates and independent of boring machines and lathes. There are but few cases in which the importance of studying the principles of tool action is more clearly demonstrated than in this matter of boring; even long practical experience seldom leads to a thorough understanding of the [139] various problems which it involves.
ONE:
