ONE:A safe rule will be to assume that machinery mainly used and seen by the skilled should be devoid of ornament, and that machinery seen mainly by the unskilled, or in public, should have some ornament. Steam fire engines, sewing machines, and works of a similar kind, which fall under the inspection of the unskilled, are usually arranged with more or less ornament.The systems of Plato and Aristotle were splendid digressions from the main line of ancient speculation rather than stages in its regular development. The philosophers who came after them went back to an earlier tradition, and the influence of the two greatest Hellenic masters, when it was felt at all, was felt almost entirely as a disturbing or deflecting force. The extraordinary reach of their principles could not, in truth, be appreciated until the organised experience of mankind had accumulated to an extent requiring the application of new rules for its comprehension and utilisation; and to make such an accumulation possible, nothing less was needed than the combined efforts of the whole western world. Such religious, educational, social, and political reforms as those contemplated in Platos Republic, though originally designed for a single city-community, could not be realised, even approximately, within a narrower field than that offered by the mediaeval church and the feudal state. The ideal theory first gained practical significance in connexion with the metaphysics of Christian theology. The place given by Plato to mathematics has only been fully justified by the develop2ment of modern science. So also, Aristotles criticism became of practical importance only when the dreams against which it was directed had embodied themselves in a fabric of oppressive superstition. Only the vast extension of reasoned knowledge has enabled us to disentangle the vitally important elements of Aristotles logic from the mass of useless refinements in which they are imbedded; his fourfold division of causes could not be estimated rightly even by Bacon, Descartes, or Spinoza; while his arrangement of the sciences, his remarks on classification, and his contributions to comparative biology bring us up to the very verge of theories whose first promulgation is still fresh in the memories of men.
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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