THREE:[158]Meanwhile a new and powerful agency was about to interpose with decisive effect in the doubtful struggle. This was the study of mathematics. Revived by the Arabians and never wholly neglected during the Middle Ages, it had profited by the general movement of the Renaissance, and was finally applied to the cosmical problem by Galileo. In this connexion, two points of profound philosophical interest must be noted. The first is that, even in its fall, the Aristotelian influence survived, to some extent, both for good and for evil. To Aristotle belongs the merit of having been the first to base astronomy on physics. He maintains the earths immobility on experimental no less than on speculative grounds. A stone thrown straight up in the air returns to its starting-point instead of falling to the west of it; and the absence of stellar385 parallax seems to show that there is no change in our position relatively to the heavenly bodies. After satisfying himself, on empirical considerations, that the popular astronomy is true, he proceeds to show that it must be true, by considerations on the nature of matter and motion, which, although mistaken, are conceived in a genuinely scientific spirit. Now Galileo saw that, to establish the Copernican system, he must first grapple with the Peripatetic physics, and replace it by a new dynamical theory. This, which he could hardly have effected by the ordinary mathematical methods, he did by borrowing the analytical method of Atomism and applying it to the measurement of motion. The law of falling bodies was ascertained by resolving their descent into a series of moments, and determining its rate of velocity at successive intervals; and curvilinear motions were similarly resolved into the combination of an impulsive with an accelerating force, a method diametrically opposed to that of Bacon, who would not even accept the rough analysis of the apparent celestial motions proposed by Greek astronomers.
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Lorem ipsum dolor sit amet, consectetur adipisicing elit. Aliquam aut tenetur, amet earum quia eligendi obcaecati. Repudiandae id illum, vero iste enim reprehenderit quaerat, harum pariatur ipsa nulla tempora ex ratione illo assumenda libero ea, delectus vitae, expedita optio porro.
Lorem ipsum dolor sit amet, consectetur adipisicing elit. Aliquam aut tenetur, amet earum quia eligendi obcaecati. Repudiandae id illum, vero iste enim reprehenderit quaerat, harum pariatur ipsa nulla tempora ex ratione illo assumenda libero ea, delectus vitae, expedita optio porro.
ONE:We now pass to a form of supernaturalism more characteristic than any other of the direction which mens thoughts were taking under the Roman empire, and more or less profoundly connected with all the other religious manifestations which have hitherto engaged our attention. This is the doctrine of immortality, a doctrine far more generally accepted in the first centuries of the Christian era, but quite apart from Christian influence, than is supposed by most persons. Here our most trustworthy information is derived from the epigraphic monuments. But for them, we might have continued to believe that public opinion on this subject was faithfully reflected by a few sceptical writers, who were, in truth, speaking only for themselves and for the numerically insignificant class to which they belonged. Not that the inscriptions all point one way and the books another way. On the contrary, there are epitaphs most distinctly repudiating the notion of a life beyond the grave, just as there are expressions let fall by men of learning which show that they accepted it as true. As much might be expected from the divisions then prevailing in the speculative world. Of all philosophical systems, Epicureanism was, at this time, the most widely diffused: its adherents rejected the belief in another world as a mischievous delusion; and many of them seem to have carefully provided that their convictions should be recorded on their tombs. The monument of one such philosopher, dedicated to eternal sleep, is still extant; others are dedicated to safe repose; others, again, speak of the opposite belief as a vain imagination. A favourite epitaph with persons of this school runs as follows:I was nothing and became, I was and am no more, so much is true. To speak otherwise is to lie, for I shall be no more.358 Sometimes,234 from the depths of their unconsciousness, the dead are made to express indifference to the loss of existence. Sometimes, in what was popularly believed to be the spirit of Epicureanism, but was, in reality, most alien to it, they exhort the passer-by to indulge his appetites freely, since death is the end of all.
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