reductio ad impossibilen.

Brit.

/rᵻˌdʌktɪəʊ ad ɪmpɒˈsiːbᵻleɪ/, U.S.

/rəˈˌdəkʃioʊ æd ˌɪmpəˈsibəleɪ/,

/riˈˌdəkʃioʊ æd ˌɪmpəˈsibəleɪ/,

/rəˈdəktioʊ æd ˌɪmpəˈsibəleɪ/,

/riˈdəktioʊ æd ˌɪmpəˈsibəleɪ/

Forms: 1500s 1800s– reductio ad impossibile, 1900s– reductia ad impossibile (irregular).

Origin: A borrowing from Latin. Etymon: Latin reductio ad impossibile.

Etymology: < post-classical Latin reductio ad impossibile (a1200 in a commentary on Aristotle: see below) < classical Latin reductiō reduction n. + ad to + impossibile the impossible, use as noun of neuter of impossibilis impossible adj., after ancient Greek ἡ εἰς τὸ ἀδύνατον ἀπαγωγή (Aristotle Analytica Priora 29^b5). Compare reductio ad absurdum n.

Chiefly Logic.

= reductio ad absurdum n.

ΘΚΠ

the mind > mental capacity > philosophy > logic > logical syllogism > logical argument > [noun] > types of logical argument > reduction to absurdity

reductio ad impossibile1552

reduction to the absurd (also to absurdity)1712

apagogea1753

apagogy1847

1552 T. Wilson Rule of Reason (rev. ed.) sig. Hviij The other croked waye (called of the Logicians, Reductio ad impossibile) is a reduccion to that, whiche is impossible.

1827 J. Huyshe Treat. Logic iii. vii. 127 This syllogism may thus be reduced to Darii, by employing reductio ad impossibile.

1869 W. S. Jevons Substitution of Similars 44 This indirect or negative method is closely analogous to the indirect proof, or reductio ad absurdum, so frequently used by Euclid and other mathematicians, and a similar method is employed by the old logicians in the treatment of the syllogisms called Baroko and Bokardo, by the reductio ad impossibile.

1884 J. N. Keynes Stud. & Exercises Formal Logic iii. iv. 181 This method of reduction is called Reductio ad impossibile, or Reductio per impossibile, or Deductio ad impossibile, or Deductio ad absurdum.

1930 A. E. Taylor Faith of Moralist iii. 114 From these premises McTaggart develops a reductio ad impossibile.

1974 Jrnl. Biblical Lit. 93 345 Similarly ἐλέγχειν, a word which means ‘to refute logically’, ‘to prove by reductio ad impossibile’.

2004 G. Politzer in K. Manktelow & M. C. Chung Psychol. of Reasoning ix. 234 Not all syllogisms can be proved by conversion, and a complementary method is needed. This second method..applies a reductio ad impossibile.

This entry has been updated (OED Third Edition, September 2009; most recently modified version published online March 2022).

单词	reductio ad impossibile
释义	reductio ad impossibilen. Brit. /rᵻˌdʌktɪəʊ ad ɪmpɒˈsiːbᵻleɪ/, U.S. /rəˈˌdəkʃioʊ æd ˌɪmpəˈsibəleɪ/, /riˈˌdəkʃioʊ æd ˌɪmpəˈsibəleɪ/, /rəˈdəktioʊ æd ˌɪmpəˈsibəleɪ/, /riˈdəktioʊ æd ˌɪmpəˈsibəleɪ/ Forms: 1500s 1800s– reductio ad impossibile, 1900s– reductia ad impossibile (irregular). Origin: A borrowing from Latin. Etymon: Latin reductio ad impossibile. Etymology: < post-classical Latin reductio ad impossibile (a1200 in a commentary on Aristotle: see below) < classical Latin reductiō reduction n. + ad to + impossibile the impossible, use as noun of neuter of impossibilis impossible adj., after ancient Greek ἡ εἰς τὸ ἀδύνατον ἀπαγωγή (Aristotle Analytica Priora 29^b5). Compare reductio ad absurdum n. Chiefly Logic. = reductio ad absurdum n. ΘΚΠ the mind > mental capacity > philosophy > logic > logical syllogism > logical argument > [noun] > types of logical argument > reduction to absurdity reductio ad impossibile1552 reduction to the absurd (also to absurdity)1712 apagogea1753 apagogy1847 1552 T. Wilson Rule of Reason (rev. ed.) sig. Hviij The other croked waye (called of the Logicians, Reductio ad impossibile) is a reduccion to that, whiche is impossible. 1827 J. Huyshe Treat. Logic iii. vii. 127 This syllogism may thus be reduced to Darii, by employing reductio ad impossibile. 1869 W. S. Jevons Substitution of Similars 44 This indirect or negative method is closely analogous to the indirect proof, or reductio ad absurdum, so frequently used by Euclid and other mathematicians, and a similar method is employed by the old logicians in the treatment of the syllogisms called Baroko and Bokardo, by the reductio ad impossibile. 1884 J. N. Keynes Stud. & Exercises Formal Logic iii. iv. 181 This method of reduction is called Reductio ad impossibile, or Reductio per impossibile, or Deductio ad impossibile, or Deductio ad absurdum. 1930 A. E. Taylor Faith of Moralist iii. 114 From these premises McTaggart develops a reductio ad impossibile. 1974 Jrnl. Biblical Lit. 93 345 Similarly ἐλέγχειν, a word which means ‘to refute logically’, ‘to prove by reductio ad impossibile’. 2004 G. Politzer in K. Manktelow & M. C. Chung Psychol. of Reasoning ix. 234 Not all syllogisms can be proved by conversion, and a complementary method is needed. This second method..applies a reductio ad impossibile. This entry has been updated (OED Third Edition, September 2009; most recently modified version published online March 2022). < n.1552
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