contrapositiveadj.n.

/ˌkɒntrəˈpɒzɪtɪv/

Etymology: < Latin contrāposit-, participial stem of contrāpōnĕre (see contraposition n.) + -ive suffix.

A. adj.

Of, belonging to, or produced by contraposition.

ΘΚΠ

the mind > mental capacity > philosophy > logic > logical proposition > conversion of a proposition > [adjective] > of or produced by types of conversion

infinitea1856

infinitated1864

contrapositive1870

1870 W. S. Jevons Elem. Lessons Logic (1880) 84 We may also prove the truth of the contrapositive proposition in this way.

1870 W. S. Jevons Elem. Lessons Logic (1880) 85 Contrapositive conversion cannot be applied to the particular propositions I and O at all.

B. n.

Anything characterized by contraposition. In Logic, a contrapositive proposition.

ΘΚΠ

the world > relative properties > relationship > contrariety or contrast > [noun] > the opposite point

halfa885

part1485

counterpoint1599

ranverse1675

counterposition1861

contrapositive1870

countertype1880

antitype1926

the mind > mental capacity > philosophy > logic > logical proposition > [noun] > opposite or contradictory proposition(s)

contradictionc1400

contradictoryc1400

repugnantc1475

contradictory propositions1605

contrary1656

opposite1656

subcontrary1657

contrary propositions1739

principle (or law) of contradiction1850

contrapositive1870

contradictory terms1887

contrary terms1887

antilogism1902

the mind > mental capacity > philosophy > logic > logical proposition > [noun] > condition of being affirmative or negative > a negative proposition

negative1628

negant1653

contrapositive1870

1870 W. S. Jevons Elem. Lessons Logic (1880) 302 Convert and show that the result is the contrapositive of the original.

1876 A. B. W. Kennedy tr. F. Reuleaux Kinematics of Machinery 181 The hydraulic press forms the contra-positive of..the pulley-tackle, the pressure-organ water in the one being replaced by the tension-organ rope in the other.

1884 W. S. Jevons Stud. Deduct. Logic 43 The contrapositive of the proposition ‘all birds are bipeds’ will be ‘all that are not bipeds are not birds’.

Derivatives

contraˈpositively adv.

ΘΚΠ

the world > relative properties > relationship > contrariety or contrast > [adverb]

fromward?c1225

contrariouslyc1380

contrarying to1382

reversinglya1425

contrary1463

clean fro1483

repugnantly?1526

diametrally?1533

contrairly1535

in diameter1543

thwartly1558

oppositely1567

contrarily1570

contrariwise1574

diameter-wise1600

diameterly1603

reciprocallya1628

diametrically1633

counter1643

encounter1660

polarly1670

Antarcticallya1711

contrariantly1796

antithetically1816

tout au contraire1841

antistrophically1842

contrapositively1858

in reverse1869

at cross-corners with1892

1858 A. De Morgan in Trans. Cambr. Philos. Soc. 10 182 H is the rich fool; h any other person; H′ the rich friend; R rich, r not rich; W weak, w not weak; A badly advised, a not so; C unfavourably circumstanced, c not so. H))R[M,W(A,C)]; contrapositively, r, m(w,ac) ))h; or r,mw,mac) )h; but H′)) mac; whence H′))h; or H′)·(H.

1892 Mind I. 244 It means: ‘Every year in which the English harvests are bad is a year in which American corn-dealers gain’; or contrapositively: ‘Every year in which American corn-dealers do not gain is a year in which the English harvests are not bad’.

This entry has not yet been fully updated (first published 1893; most recently modified version published online March 2018).

单词	contrapositive
释义	contrapositiveadj.n. /ˌkɒntrəˈpɒzɪtɪv/ Etymology: < Latin contrāposit-, participial stem of contrāpōnĕre (see contraposition n.) + -ive suffix. A. adj. Of, belonging to, or produced by contraposition. ΘΚΠ the mind > mental capacity > philosophy > logic > logical proposition > conversion of a proposition > [adjective] > of or produced by types of conversion infinitea1856 infinitated1864 contrapositive1870 1870 W. S. Jevons Elem. Lessons Logic (1880) 84 We may also prove the truth of the contrapositive proposition in this way. 1870 W. S. Jevons Elem. Lessons Logic (1880) 85 Contrapositive conversion cannot be applied to the particular propositions I and O at all. B. n. Anything characterized by contraposition. In Logic, a contrapositive proposition. ΘΚΠ the world > relative properties > relationship > contrariety or contrast > [noun] > the opposite point halfa885 part1485 counterpoint1599 ranverse1675 counterposition1861 contrapositive1870 countertype1880 antitype1926 the mind > mental capacity > philosophy > logic > logical proposition > [noun] > opposite or contradictory proposition(s) contradictionc1400 contradictoryc1400 repugnantc1475 contradictory propositions1605 contrary1656 opposite1656 subcontrary1657 contrary propositions1739 principle (or law) of contradiction1850 contrapositive1870 contradictory terms1887 contrary terms1887 antilogism1902 the mind > mental capacity > philosophy > logic > logical proposition > [noun] > condition of being affirmative or negative > a negative proposition negative1628 negant1653 contrapositive1870 1870 W. S. Jevons Elem. Lessons Logic (1880) 302 Convert and show that the result is the contrapositive of the original. 1876 A. B. W. Kennedy tr. F. Reuleaux Kinematics of Machinery 181 The hydraulic press forms the contra-positive of..the pulley-tackle, the pressure-organ water in the one being replaced by the tension-organ rope in the other. 1884 W. S. Jevons Stud. Deduct. Logic 43 The contrapositive of the proposition ‘all birds are bipeds’ will be ‘all that are not bipeds are not birds’. Derivatives contraˈpositively adv. ΘΚΠ the world > relative properties > relationship > contrariety or contrast > [adverb] fromward?c1225 contrariouslyc1380 contrarying to1382 reversinglya1425 contrary1463 clean fro1483 repugnantly?1526 diametrally?1533 contrairly1535 in diameter1543 thwartly1558 oppositely1567 contrarily1570 contrariwise1574 diameter-wise1600 diameterly1603 reciprocallya1628 diametrically1633 counter1643 encounter1660 polarly1670 Antarcticallya1711 contrariantly1796 antithetically1816 tout au contraire1841 antistrophically1842 contrapositively1858 in reverse1869 at cross-corners with1892 1858 A. De Morgan in Trans. Cambr. Philos. Soc. 10 182 H is the rich fool; h any other person; H′ the rich friend; R rich, r not rich; W weak, w not weak; A badly advised, a not so; C unfavourably circumstanced, c not so. H))R[M,W(A,C)]; contrapositively, r, m(w,ac) ))h; or r,mw,mac) )h; but H′)) mac; whence H′))h; or H′)·(H. 1892 Mind I. 244 It means: ‘Every year in which the English harvests are bad is a year in which American corn-dealers gain’; or contrapositively: ‘Every year in which American corn-dealers do not gain is a year in which the English harvests are not bad’. This entry has not yet been fully updated (first published 1893; most recently modified version published online March 2018). < adj.n.1858
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