ONE:There still remained one form of government to be tried, the despotic rule of a single individual. In the course of his travels Plato came into contact with an able and powerful specimen of the tyrant class, the elder Dionysius. A number of stories relating to their intercourse have been preserved; but the different versions disagree very widely, and none of them can be entirely trusted. It seems certain, however, that Plato gave great offence to the tyrant by his freedom of speech, that he narrowly escaped death, and that he was sold into slavery, from which condition he was redeemed by the generosity of Anniceris, a Cyrenaean philosopher. It is supposed that the scathing description in which Plato has196 held up to everlasting infamy the unworthy possessor of absolute powera description long afterwards applied by Tacitus to the vilest of the Roman emperorswas suggested by the type which had come under his own observation in Sicily.
TWO:"It isn't that," said Isidore. "I've got a fine head for figures, and some of the numbers of these notes strike me as familiar. They are identified in my mind with some sensation or tragedy. It seems to me--ah! got it!"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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