The elements of deductive logic

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Clarendon Press, 1873

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Page 178 - Persius. The Satires. With a Translation and Commentary. By John Conington, MA, late Corpus Professor of Latin in the University of Oxford. Edited by H. Nettleship, MA Second Edition.
Page 46 - All definitions are of names, and of names only; but, in some definitions, it is clearly apparent, that nothing is intended except to explain the meaning of the word; while in others, besides explaining the meaning of the word, it is intended to be implied that there exists a thing, corresponding to the word.
Page 129 - The man answered, that storks had never more than one leg. The master, very angry, but determined to strike his servant dumb before he punished him, took him the next day into the fields, where they saw storks standing, each on one leg, as storks do. The servant turned triumphantly to his master, on which the latter shouted, and the birds put down their other legs and flew away."
Page 127 - to allow every man an unbounded freedom of speech must always be, on the whole, advantageous to the State ; for it is highly conducive to the interests of the Community, that each individual should enjoy a liberty perfectly unlimited, of expressing his sentiments.
Page 72 - The predicate of the conclusion is called the major term, and the...
Page 107 - If A is B, C is D ; and if E is F, G is H ; But either C is not D, or G is not H ; Therefore either A is not B, or E is not F.
Page 53 - Thus, for" example, he to whom the geometrical proposition, that the angles of a triangle are together equal to two right angles...
Page 154 - Wood, stones, fire, water, flesh, iron, and the like things, which I name and discourse of, are things that I know. And I should not have known them, but that I perceived them by my senses; and things perceived by the senses are immediately perceived; and things immediately perceived are ideas; and ideas cannot exist without the mind; their existence therefore consists in being perceived; when therefore they are actually perceived, there can be no doubt of their existence.
Page 106 - The conclusion is destructive. If A is B, C is D, and E is F ; But either C is not D, or E is not F ; .*. A is not B.
Page 71 - ... others conjointly, the inferred proposition being virtually contained in the propositions from which it is inferred. This is obviously a definition of a legitimate syllogism. There may (as will appear below) be apparent syllogisms, which do not fulfil the conditions of this definition. We may take as instances of syllogisms : — (1) All B is A, All C is B ; ... All C is A.

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