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ONE: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. ONE:Driven by Christian intolerance from every other centre of civilisation, Greek philosophy found a last refuge in Athens, where it continued to be taught through the whole of the fifth century and the first quarter of the sixth. During that period, all the tendencies already indicated as characteristic of Neo-Platonism exhibited themselves once more, and contributed in about equal degrees to the versatile activity of its last original representative, Proclus (410-485). This remarkable man offers one of the most melancholy examples of wasted power to be found in the history of thought. Endowed with an enormous faculty for acquiring knowledge, a rare subtlety in the analysis of ideas, and an unsurpassed genius for their systematic arrangement, he might, under more favourable359 auspices, have been the Laplace or Cuvier of his age. As it was, his immense energies were devoted to the task of bringing a series of lifeless abstractions into harmony with a series of equally lifeless superstitions. A commentator both on Euclid and on Plato, he aspired to present transcendental dialectic under the form of mathematical demonstration. In his Institutes of Theology, he offers proofs equally elaborate and futile of much that had been taken for granted in the philosophy of Plotinus. Again, where there seems to be a gap in the system of his master, he fills it up by inserting new figments of his own. Thus, between the super-essential One and the absolute Nous, he interposes a series of henads or unities, answering to the multiplicity of intelligences or self-conscious Ideas which Plotinus had placed within the supreme Reason, or to the partial souls which he had placed after the world-soul. In this manner, Proclus, following the usual method of Greek thought, supplies a transition from the creative One to the Being which had hitherto been regarded as its immediate product; while, at the same time, providing a counterpart to the many lesser gods with which polytheism had surrounded its supreme divinity. Finally, as Plotinus had arranged all things on the threefold scheme of a first principle, a departure from that principle, and a subsequent reunion with it, Proclus divides the whole series of created substances into a succession of triads, each reproducing, on a small scale, the fundamental system of an origin, a departure, and a return. And he even multiplies the triads still further by decomposing each separate moment into a secondary process of the same description. For example, Intelligence as a whole is divided into Being, Life, and Thought, and the first of these, again, into the Limit, the Unlimited, and the absolute Existence (ο?σ?α), which is the synthesis of both. The Hegelian system is, as is well known, constructed on a similar plan; but while with Hegel the logical evolution is a progress from lower to higher and360 richer life, with Proclus, as with the whole Neo-Platonic school, and, indeed, with almost every school of Greek thought, each step forward is also a step downward, involving a proportionate loss of reality and power.The inhabitants looked upon the church as a special sanctuary, as the bones of St. Hadelin were kept there. Before the fire these relics had been removed to the vicarage secretly, and then to St. Hadelin College, the only large building that escaped the general destruction next day.

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