proof by contradiction

English

Noun

proof by contradiction (countable and uncountable, plural proofs by contradiction)

(mathematics, logic) The proof of a statement adduced by deriving a contradiction from the statement's negation.

Synonyms

Translations

proof of a statement adduced by deriving a contradiction from the statement's negation

Chinese:
Mandarin: 反證法 / 反证法 (zh) (fǎnzhèngfǎ), 背理法 (zh) (bèilǐfǎ)
Czech: důkaz sporem (cs) m
Dutch: bewijs uit het ongerijmde n
Finnish: ristiriitatodistus
French: preuve par l'absurde f, raisonnement par l'absurde m
German: Widerspruchsbeweis (de) m, Beweis durch Widerspruch m
Greek: εις άτοπον απαγωγή (el) f (eis átopon apagogí)
Icelandic: óbein sönnun f
Japanese: please add this translation if you can
Korean: please add this translation if you can
Latin: reductiō ad absurdum f
Polish: dowód nie wprost m, sprowadzenie do absurdu
Romanian: reducere la absurd (ro) f
Russian: доказа́тельство от проти́вного (ru) n (dokazátelʹstvo ot protívnovo)
Swedish: motsägelsebevis n

Further reading

proof by contradiction on Wikipedia.Wikipedia