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THREE:Considered as a process, forging may be said to relate to shaping malleable material by blows or compression when it is rendered soft by heating. So far as hand-tools and the ordinary hand operations in forging, there can be nothing said that will be of much use to a learner. In all countries, and for centuries past, hand implements for forging have remained quite the same; and one has only to visit any machine forging-shop to see samples and types of standard tools. There is no use in describing tongs, swages, anvils, punches, and chisels, when there is nothing in their form nor use that may not be seen at a glance; but tools and machines for the application of motive power in forging processes deserve more careful notice.

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THREE:In this respect Stoicism betrays its descent from the encyclopaedic lectures of the earlier Sophists, particularly Hippias. While professedly subordinating every other study to the art of virtuous living, its expositors seem to have either put a very wide interpretation on virtue, or else to have raised its foundation to a most unnecessary height. They protested against Aristotle��s glorification of knowledge as the supreme end, and declared its exclusive pursuit to be merely a more10 refined form of self-indulgence;20 but, being Greeks, they shared the speculative passion with him, and seized on any pretext that enabled them to gratify it. And this inquisitiveness was apparently much stronger in Asiatic Hellas, whence the Stoics were almost entirely recruited, than in the old country, where centuries of intellectual activity had issued in a scepticism from which their fresher minds revolted.21 It is mentioned by Zeller as a proof of exhaustion and comparative indifference to such enquiries, that the Stoics should have fallen back on the Heracleitean philosophy for their physics.22 But all the ideas respecting the constitution of Nature that were then possible had already been put forward. The Greek capacity for discovery was perhaps greater in the third century than at any former time; but from the very progress of science it was necessarily confined to specialists, such as Aristarchus of Samos or Archimedes. And if the Stoics made no original contributions to physical science, they at least accepted what seemed at that time to be its established results; here, as in other respects, offering a marked contrast to the Epicurean school. If a Cleanthes assailed the heliocentric hypothesis of Aristarchus on religious grounds, he was treading in the footsteps of Aristotle. It is far more important that he or his successors should have taught the true theory of the earth��s shape, of the moon��s phases, of eclipses, and of the relative size and distance of the heavenly bodies.23 On this last subject, indeed, one of the later Stoics, Posidonius, arrived at or accepted conclusions which, although falling far short of the reality, approximated to it in a very remarkable manner, when we consider what imperfect means of measurement the Greek astronomers had at their disposition.24Civil engineering, when spoken of, will be assumed as referring to works that do not involve machine motion, nor the use of power, but deal with static forces, the strength, nature, and disposition of material under constant strains, or under measured strains, the durability and resistance of material, the construction of bridges, factories, roads, docks, canals, dams, and so on; also, levelling and surveying. This corresponds to the most common use of the term civil engineering in America, but differs greatly from its application in Europe, where civil engineering is understood as including machine construction, and where the term engineering is applied to ordinary manufacturing processes.

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THREE:Speculation now leaves its Asiatic cradle and travels with the Greek colonists to new homes in Italy and Sicily, where new modes of thought were fostered by a new environment. A name, round which mythical accretions have gathered so thickly that the original nucleus of fact almost defies definition, first claims our attention. Aristotle, as is well known, avoids mentioning Pythagoras, and always speaks of the Pythagoreans when he is discussing the opinions held by a certain Italian school. Their doctrine, whoever originated it, was that all things are made out of number. Brandis regards Pythagoreanism as an entirely original effort of speculation,11 standing apart from the main current of Hellenic thought, and to be studied without reference to Ionian philosophy. Zeller, with more plausibility, treats it as an outgrowth of Anaximander��s system. In that system the finite and the infinite remained opposed to one another as unreconciled moments of thought. Number, according to the Greek arithmeticians, was a synthesis of the two, and therefore superior to either. To a Pythagorean the finite and the infinite were only one among several antithetical couples, such as odd and even, light and darkness, male and female, and, above all, the one and the many whence every number after unity is formed. The tendency to search for antitheses everywhere, and to manufacture them where they do not exist, became ere long an actual disease of the Greek mind. A Thucydides could no more have dispensed with this cumbrous mechanism than a rope-dancer could get on without his balancing pole; and many a schoolboy has been sorely puzzled by the fantastic contortions which Italiote reflection imposed for a time on Athenian oratory.

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