| 单词 | modus tollendo tollens |
| 释义 | > as lemmasmodus tollendo tollens The rule of logic which states that if a conditional statement if p then q is accepted, and the consequent does not hold (not-q), then the negation of the antecedent (not-p) can be inferred; an argument using this rule. Also modus tollendo tollens. Cf. modus ponens n. ΘΚΠ the mind > mental capacity > philosophy > logic > logical syllogism > [noun] > mood or mode > types of Bocardo1509 Ferison1509 Camestres1551 Celarent1551 Darapti1551 Datisi1551 Disamis1551 Felapton1551 Ferio1551 Festino?1568 Baroko1581 Cesare1588 Barbara1589 dabitis1599 fapesmo1599 Frisesomorum1599 baralipton1653 Dimaris1827 modus ponendo ponens1838 modus tollens1838 Camenes1851 1838 F. Haywood tr. I. Kant Critick Pure Reason ii. 594 The modus tollens of syllogisms [etc.]. a1856 W. Hamilton Lect. Metaphysics (1860) III. xviii. 344 We can always easily convert an hypothetical syllogism of one form into another,—the modus ponens into the modus tollens. 1881 F. M. Müller tr. I. Kant Critique Pure Reason II. ii. i. 678 The modus tollens of reasoning, from consequences to their grounds, is not only perfectly strict, but also extremely easy. 1916 H. W. B. Joseph Introd. Logic (ed. 2) xv. 337 The modus tollens is of the form [etc.]. 1940 Mind 49 208 An inference in the modus tollendo tollens..yields the contrary of the original contrary hypothesis. 1965 E. J. Lemmon Beginning Logic ii. 61 Modus tollendo tollens is the principle that, if a conditional holds and also the negation of its consequent, then the negation of its antecedent holds. 1988 Mind 97 611 It [sc. the Ur-Argument] goes on to insist that there is no principled way of deciding which of its epistmic liaisons are thus relevant, and thence concludes (by modus tollens) that all of them are. < as lemmas |
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