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TWO:Meanwhile Atomism continued to exercise a powerful influence on the method even more than on the doctrines of science. The analytical mode of treatment, applied by Galileo to dynamics, was applied, with equal success, by other mathematicians, to the study of discrete and continuous quantity. It is to the division of numbers and figures into infinitesimal partsa direct contravention of Aristotles teachingthat we owe logarithms, algebraic geometry, and the differential calculus. Thus was established a connexion between spiritualism and materialism, the philosophy of Plato and the philosophy of Democritus. Out of these elements, together with what still survived of Aristotelianism, was constructed the system of Descartes.
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TWO:If Zellers semi-Hegelian theory of history does scant justice to the variety and complexity of causes determining the evolution of philosophy, it also draws away attention from the ultimate elements, the matter, in an Aristotelian sense, of which that evolution consists. By this I mean the development of particular ideas as distinguished from thexvii systems into which they enter as component parts. Often the formation of a system depends on an accidental combination of circumstances, and therefore cannot be brought under any particular law of progress, while the ideas out of which it is constructed exhibit a perfectly regular advance on the form under which they last appeared. Others, again, are characterised by a remarkable fixity which enables them to persist unchanged through the most varied combinations and the most protracted intervals of time. But when each system is regarded as, so to speak, an organic individual, the complete and harmonious expression of some one phase of thought, and the entire series of systems as succeeding one another in strict logical order according to some simple law of evolution, there will be a certain tendency to regard the particular elements of each as determined by the character of the whole to which they belong, rather than by their intrinsic nature and antecedent history. And I think it is owing to this limitation of view that Zeller has not illustrated, so fully as could be desired, the subtler references by which the different schools of philosophy are connected with one another and also with the literature of their own and other times.
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TWO:For a long time the history of the Roman Empire was written by the descendants of its most deadly enemiesby Christian ecclesiastics or by scholars trained under their influence, and by the inheritors of the northern races who overran and destroyed it. The natural tendency of both classes was to paint the vices of the old society in the most glaring colours, that by so doing they might exhibit the virtues of its conquerors and the necessity of their mission in stronger relief. In this respect, their task was greatly facilitated by the character of the authorities from whom their information was principally derived. Horace and Petronius, Seneca and Juvenal, Tacitus and Suetonius, furnished them with pictures of depravity which it was impossible to exaggerate, which had even to be toned down before they could be reproduced in a modern language. No allowance was made for the influence of a rhetorical training in fostering the cultivation of effect at the expense of truth, nor for the influence of aristocratic prejudice in securing a ready acceptance for whatever tended to the discredit of a monarchical government. It was also forgotten that the court and society of Rome could give no idea of the life led in the rest of Italy and in the provinces. Moreover, the contrast continually instituted or implied by these historians was not between the ancient civilisation and the state of things which immediately succeeded it, nor yet between the society of a great capital as it was then, and as it was in the historians own time. The points selected for contrast were what was worst in Paganism and what is best in Christianity. The one was judged from the standpoint of courtiers and men of the world,197 embittered by disappointment and familiar with every form of depravity, the other was judged from the standpoint of experience acquired in a college quadrangle, a country parsonage, or a cathedral close. The modern writer knew little enough even about his own country, he knew next to nothing about what morality was in the Middle Ages, and nothing at all about what it still continues to be in modern Italy.
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