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THREE:German officials told that immediately after the surrender Maubeuge had been set on fire in various places, because civilians, etc.... The reader is by now able to complete the sentence.

THREE:It was from mathematical science that the light of certainty first broke. Socrates had not encouraged the study of mathematics, either pure or applied; nor, if we may judge from some disparaging allusions to Hippias and his lectures in the Protagoras, did Plato at first regard it with any particular favour. He may have acquired some notions of arithmetic and geometry at school; but the intimate acquaintance with, and deep interest in them, manifested throughout his later works, probably dates from his visits to Italy, Sicily, Cyr��n��, and Egypt. In each of these places the exact sciences were cultivated with more assiduity than at Athens; in southern Italy they had been brought into close connexion with philosophy by a system of mystical interpretation. The glory of discovering their true speculative significance was reserved for Plato. Just as he had detected a profound analogy between the Socratic scepticism and the Heracleitean flux, so also, by another vivid intuition, he saw in the definitions and demonstrations of geometry a type of true reasoning, a particular application of the Socratic logic. Thus the two studies were brought into fruitful reaction, the one gaining a wider applicability, and the other an exacter method of proof. The mathematical spirit ultimately proved211 too strong for Plato, and petrified his philosophy into a lifeless formalism; but no extraneous influence helped so much to bring about the complete maturity of his constructive powers, in no direction has he more profoundly influenced the thought of later ages.

THREE:But what had happened once before when philosophy was taken up by men of the world, repeated itself on this occasion. Attention was diverted from speculative to ethical problems, or at least to issues lying on the borderland between speculation and practice, such as those relating to the criterion of truth and the nature of the highest good. On neither of these topics had Epicureanism a consistent answer to give, especially when subjected to the cross-examination of rival schools eager to secure Roman favour for their own doctrines. Stated under any form, the Epicurean morality could not long satisfy the conquerors of the world. To some of them it would seem a shameful dereliction of duty, to others an irksome restraint on self-indulgence, while all would be alienated by its declared contempt for the general interests of culture and ambition. Add to this that the slightest acquaintance with astronomy, as it was then taught in Hellenic countries, would be fatal to a belief in the Epicurean physics, and we shall understand that the cause for which Lucretius contended was already lost before his great poem saw the light.