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THREE:In the theory of reasoning the simple proposition is taken as a starting-point; but instead of deducing the syllogism379 from the synthesis of two premises, Aristotle reaches the premises through the conclusion. He tells us, indeed, that reasoning is a way of discovering from what we know, something that we did not know before. With him, however, it is really a process not of discovery but of proof. He starts with the conclusion, analyses it into predicate and subject or major and minor, and then, by a further analysis, introduces a middle term connecting the two. Thus, we begin with the proposition, ��Caius is mortal,�� and prove it by interpolating the notion humanity between its two extremes. From this point of view the premises are merely a temporary scaffolding for bringing the major and minor into connexion with the middle term; and this is also the reason why Aristotle recognises three syllogistic figures only, instead of the four admitted by later logicians. For, the middle may either be contained in one extreme and contain the other, which gives us the first figure; or it may contain both, which gives the second figure; or be contained in both, which gives the third; and this is an exhaustive enumeration of the possible combinations.274

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THREE: ��His utterances on this subject [the existence of an external world] are perhaps chiefly to be found in the third book of his treatise ��On the Soul,�� beginning with the fourth chapter. On turning to them we see that he never separates existence from knowledge. ��A thing in actual existence,�� he says, ��is identical with the knowledge of that thing.�� Again, ��The possible existence of a thing is identical with the possibility in us of perceiving or knowing it.�� Thus, until a thing is perceived or known, it can only be said to have a potential or possible existence. And from this a doctrine very similar to that of Ferrier might be deduced, that ��nothing exists except plus me,����that is to say, in relation to some mind perceiving it.�� (Aristotle, p. 165.)

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THREE:A milling tool with twenty edges should represent as much wearing capacity as a like number of separate tools, and may be said to equal twenty duplicate tools; hence, in cutting grooves, notches, or similar work, a milling tool is equivalent to a large number of duplicate single tools, which cannot be made or set with the same truth; so that milling secures accuracy and duplication, objects which are in many cases more important than speed.The puzzled and slightly dissatisfied audience poured out of the inquest hall with a feeling that they had been defrauded. There was no chance of a verdict of murder against Bruce after the last two bits of startling and quite unexpected evidence. Two credible witnesses had proved that one of the people who had called Bruce to the corner house had remained after he had left. The case was just as fascinating, and at the same time as puzzling as ever. The real culprit as yet might have to be found, but there was no getting away from these facts about the stolen banknotes. Still, the coroner's jury were not called to try that question, and at the suggestion of Prout the matter was adjourned for a month.

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