FORE:Answering to the first principles of demonstration in logic, if not absolutely identical with them, are what Aristotle calls causes in the nature of things. We have seen what an important part the middle term plays in Aristotle��s theory of the syllogism. It is the vital principle of demonstration, the connecting link by which the two extreme terms are attached to one another. In the theory of applied logic, whose object is to bring the order of thought into complete parallelism with the order of things, the middle term through which a fact is demonstrated answers to the cause through which it exists. According to our notions, only two terms, antecedent and consequent, are involved in the idea of causation; and causation only becomes a matter for reasoning when we perceive that the sequence is repeated in a uniform manner. But Aristotle was very far from having reached, or even suspected, this point of view. A cause is with him not a determining antecedent, but a secret nexus by which the co-existence of two phenomena is explained. Instead of preceding it intercedes; and this is why he finds its subjective counterpart in the middle term of the syllogism. Some of his own examples will make the matter clearer. Why is the moon eclipsed? Because the earth intervenes between her and the sun. Why is the bright side of the moon always turned towards the sun? Because she shines by his reflected light (here light is the middle term). Why is that person talking to the rich man? Because he wants to borrow money of him. Why are those two men friends? Because they have the same enemy.281
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FORE:The characters in Homer are marked by this incredulous disposition in direct proportion to their general wisdom. When Agamemnon relates his dream to the assembled chiefs, Nestor dryly observes that if anyone of less authority had told them such a story they would have immediately rejected it as untrue. Hector��s outspoken contempt for augury is well known; and his indifference to the dying words of Patroclus is equally characteristic. In the Odyssey, Alcinous pointedly distinguishes his guest from the common run of travellers, whose words deserve no credit. That Telemachus should tell who is his father, with the uncomplimentary reservation that he has only his mother��s word for it, is128 evidently meant as a proof of the young man��s precocious shrewdness; and it is with the utmost difficulty that Penelope herself is persuaded of her husband��s identity. So in the Agamemnon of Aeschylus, nothing less than the report of an eye-witness will convince the Chorus of old men that Troy has really fallen.218 Finally, to complete the list of examples afforded independently of philosophical reflection, Herodotus repeatedly expresses disbelief in the stories told him, or, what is more remarkable, holds his judgment in suspense with regard to their veracity.It may be remarked as a general rule that the hardness of cutting tools is "inverse as the hardness of the material to be cut," which seems anomalous, and no doubt is so, if nothing but the cutting properties of edges is considered; but all cutting edges are subjected to transverse strain, and the amount of this strain is generally as the hardness of the material acted upon; hence the degree of temper has of necessity to be such as to guard against breaking the edges. Tools for cutting wood, for example, can be much harder than for cutting iron, or to state it better, tools for cutting wood are harder than those usually employed for cutting iron; for if iron tools were always as carefully formed and as carefully used as those employed in cutting wood, they could be equally hard.
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