TWO:Cores expand when heated, and require an allowance in their dimensions the reverse from patterns; this is especially the case when the cores are made upon iron frames. For cylindrical cores less than six inches diameter, or less than two feet long, expansion need not be taken into account by pattern-makers, but for large cores careful calculation is required. The expansion of cores is as the amount of heat imparted to them, and the amount of heat taken up is dependent upon the quantity of metal that may surround the core and its conducting power.The first difficulty that strikes one in connexion with this extraordinary story arises out of the oracle on which it all hinges. Had such a declaration been really made by the Pythia, would not Xenophon have eagerly quoted it as a proof of the high favour in which his hero stood with the113 gods?82 And how could Socrates have acquired so great a reputation before entering on the cross-examining career which alone made him conscious of any superiority over other men, and had alone won the admiration of his fellow-citizens? Our doubts are still further strengthened when we find that the historical Socrates did not by any means profess the sweeping scepticism attributed to him by Plato. So far from believing that ignorance was the common and necessary lot of all mankind, himself included, he held that action should, so far as possible, be entirely guided by knowledge;83 that the man who did not always know what he was about resembled a slave; that the various virtues were only different forms of knowledge; that he himself possessed this knowledge, and was perfectly competent to share it with his friends. We do, indeed, find him very ready to convince ignorant and presumptuous persons of their deficiencies, but only that he may lead them, if well disposed, into the path of right understanding. He also thought that there were certain secrets which would remain for ever inaccessible to the human intellect, facts connected with the structure of the universe which the gods had reserved for their own exclusive cognisance. This, however, was, according to him, a kind of knowledge which, even if it could be obtained, would not be particularly worth having, and the search after which would leave us no leisure for more useful acquisitions. Nor does the Platonic Socrates seem to have been at the trouble of arguing against natural science. The subjects of his elenchus are the professors of such arts as politics, rhetoric, and poetry. Further, we have something stronger than a simple inference from the facts recorded by Xenophon; we have his express testimony to the fact that Socrates did not114 limit himself to confuting people who fancied they knew everything; here we must either have a direct reference to the Apologia, or to a theory identical with that which it embodies.I Some stress has been laid on a phrase quoted by Xenophon himself as having been used by Hippias, which at first sight seems to support Platos view. The Elian Sophist charges Socrates with practising a continual irony, refuting others and not submitting to be questioned himself;84 an accusation which, we may observe in passing, is not borne out by the discussion that subsequently takes place between them. Here, however, we must remember that Socrates used to convey instruction under the form of a series of leading questions, the answers to which showed that his interlocutor understood and assented to the doctrine propounded. Such a method might easily give rise to the misconception that he refused to disclose his own particular opinions, and contented himself with eliciting those held by others. Finally, it is to be noted that the idea of fulfilling a religious mission, or exposing human ignorance ad majorem Dei gloriam, on which Grote lays such stress, has no place in Xenophons conception of his master, although, had such an idea been really present, one can hardly imagine how it could have been passed over by a writer with whom piety amounted to superstition. It is, on the other hand, an idea which would naturally occur to a great religious reformer who proposed to base his reconstruction of society on faith in a supernatural order, and the desire to realise it here below.
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