
FORE: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.

FORE:It has been shown how universal space and universal thought at once contain and explain each particular space and each particular concept. In like manner, the infinite substance contains and explains space and thought themselves. Contains them, yes, as attributes; but explains them, how? As two among an infinity of attributes. In other words, if we ask why there should be such an existence as space, the answer is because existence, being infinite, must necessarily include every conceivable thing. The argument is strikingly like a principle of the Epicurean philosophy, and may well have been suggested by it. According to Lucretius, the appearance of design in our world need not be attributed to creative intelligence, because infinite atoms moving in infinite manners through infinite time, must at length arrive, after a comprehensive series of experiments, at the present frame of things;562 and the same principle is invoked on a smaller scale to account for the origin of organised beings, of memory, and of civil society.563 In both systems, infinite space is the root-conception; but what Lucretius had legitimately used to explain becoming, Spinoza illegitimately applies to the elucidation of being. At one stroke all empirical knowledge is placed on an priori foundation. By assuming unlimited credit at the bank of the universe we entitle ourselves to draw a cheque for any particular amount. Thus the idea of infinite attributes is no mere collateral speculation, but forms an407 essential element of Spinozism. The known varieties of existence are, so to speak, surrounded, supported, and fixed in their places by the endless multitude of the unknown. And this conception of being as absolutely infinite, is another proof of Spinozas Platonic tendencies, for it involves the realisation of an abstract idea, that is to say, of Being, which the philosopher treats as something more comprehensive than the facts of consciousness whence it is derived.

FORE:The events on land were very different. Abercrombie, like General Braddock, advanced with all the careless presumption of a second-rate general. The grand object was to reduce Fort Ticonderoga, built on a neck of land between Lakes George and Champlain. At the landing, Lord Howe, one of the best officers, was killed, but they drove back the French, and advanced on the fort, which was of great strength, defended by a garrison of four thousand men, commanded by the Marquis de Montcalm, the Commander-in-Chief of the Canadians, himself. Montcalm had raised a breastwork eight feet high, and made in front of it a barricade of felled trees with their branches outwards. Abercrombie, with a foolish confidence, advanced right upon this barricade, without waiting for the coming up of his artillery, which was detained by the badness of the roads. With a reckless disregard of the lives of his men, he commanded them to attempt to storm these defences, and after fighting with the usual courage of Englishmen for several hours, and two thousand of them being slaughtered, it was found that their efforts were useless, and they were ordered to retire. Brigadier Forbes, who had been sent against Fort Dupuesne, an attempt so disastrous to both Washington and Braddock, executed his task with the utmost promptitude and success. Forbes took possession of it on the 25th of November, and, in compliment to the great Minister under whose auspices they fought, named it Fort Pitt, since grown from a solitary fort into Pittsburg.
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