What does proof by contradiction mean?
Definitions for proof by contradiction
proof by con·tra·dic·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word proof by contradiction.
Wiktionary
proof by contradictionnoun
Proof of a statement adduced by deriving a contradiction from the statement's negation.
Wikipedia
Proof by contradiction
In logic, proof by contradiction is a form of proof that establishes the truth or the validity of a proposition, by showing that assuming the proposition to be false leads to a contradiction. Although it is quite freely used in mathematical proofs, not every school of mathematical thought accepts this kind of nonconstructive proof as universally valid.
Wikidata
Proof by contradiction
In logic, proof by contradiction is a form of proof that establishes the truth or validity of a proposition by showing that the proposition's being false would imply a contradiction. In other words, to prove by contradiction that P, show that or its equivalent . Then, since implies a contradiction, conclude P. Proof by contradiction is also known as indirect proof, apagogical argument, proof by assuming the opposite, and reductio ad impossibilem. It is a particular kind of the more general form of argument known as reductio ad absurdum.
Numerology
Chaldean Numerology
The numerical value of proof by contradiction in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of proof by contradiction in Pythagorean Numerology is: 8
Translations for proof by contradiction
From our Multilingual Translation Dictionary
- البرهان بالتناقArabic
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"proof by contradiction." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/proof+by+contradiction>.
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