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THREE: FORE:

THREE:It was natural that the best methods of interpreting so useful a source of information should be greatly sought after, and that they should be systematised in treatises expressly devoted to the subject. One such work, the Oneirocritica of Artemid?rus, is still extant. It was composed towards the end of the second century, as its author tells us, at the direct and repeated command of Apollo. According to Artemid?rus, the general belief in prophecy and in the existence of providence must stand or fall with the belief in prophetic dreams. He looked on the compilation of his work as the fulfilment of a religious mission, and his whole life was devoted to collecting the materials for it. His good faith is, we are told, beyond question, his industry is enormous, and he even exercises considerable discrimination in selecting and elucidating the phenomena which are represented to us as229 manifestations of a supernatural interest in human affairs. Thus his beliefs may be taken as a fair gauge of the extent to which educated opinion had at that time become infected with vulgar superstition.351 FORE:

THREE: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 earth��s 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:"Every attack on German troops by others than the military in uniform not only exposes those who may be guilty to be shot summarily, but will also bring terrible consequences on leading citizens of Li��ge now detained in the citadel as hostages by the Commander of the German troops. These hostages are:��