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单词 particular negative
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particular negative
particular negative n. Logic a proposition of the form ‘some X is not Y’; cf. sense A. 1b, particular affirmative n.Symbol O: see O n.1 4.
ΚΠ
1551 T. Wilson Rule of Reason sig. Gvijv I dothe signifie a particular affirmatiue. O. doth signifie a particular negatiue.
1620 T. Granger Syntagma Logicum 262 The Vowels..signifie the qualities, and quantities of the premisses. A. An universall affirmative. E. An universall negative. I. A particular affirmative. O. A particular negative.
1790 W. Pilling Let. to Rev. Joseph Reeves 30 Whoever said, no man is an ass, said just as much as he who said, neither Peter, not Paul, &c. is an ass... For, Sire, a particular negative, is always included in its universal alternant.
1847 A. De Morgan Formal Logic iv. 58 The universal affirmative..and the particular negative..are not necessarily convertible, and are generally called inconvertible.
1910 Encycl. Brit. I. 2/1 The universal negative ‘no x is y’, and the particular negative ‘some x is not y’.
2001 Jrnl. Philos. Logic 30 219 In practice this limits the non-triviality of syllogistic reasoning to arguments that turn on universal affirmatives and particular negatives.
extracted from particularadj.n.adv.
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