Logic - Deductive and Inductive by Carveth Read
page 77 of 478 (16%)
page 77 of 478 (16%)
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of it as denial implies its complete absence; and, therefore, to regard
the predicate of an affirmative proposition as distributed would be to go beyond the evidence and to take for granted what had never been alleged. Some Logicians, seeing that the quantity of predicates, though not distinctly expressed, is recognised, and holding that it is the part of Logic "to make explicit in language whatever is implicit in thought," have proposed to exhibit the quantity of predicates by predesignation, thus: 'Some men are _some_ wise (beings)'; 'some men are not _any_ brave (beings)'; etc. This is called the Quantification of the Predicate, and leads to some modifications of Deductive Logic which will be referred to hereafter. (See § 3; chap. vii. § 4, and chap. viii. § 3.) § 2. As to Quality, Propositions are either Affirmative or Negative. An Affirmative Proposition is, formally, one whose copula is affirmative (or, has no negative sign), as _S--is--P, All men--are--partial to themselves_. A Negative Proposition is one whose copula is negative (or, has a negative sign), as _S--is not--P, Some men--are not--proof against flattery_. When, indeed, a Negative Proposition is of Universal Quantity, it is stated thus: _No S is P, No men are proof against flattery_; but, in this case, the detachment of the negative sign from the copula and its association with the subject is merely an accident of our idiom; the proposition is the same as _All men--are not--proof against flattery_. It must be distinguished, therefore, from such an expression as _Not every man is proof against flattery_; for here the negative sign really restricts the subject; so that the meaning is--_Some men at most_ (it may be _none) are proof against flattery_; and thus the proposition is Particular, and is rendered--_Some men--are not--proof against flattery_. |
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