reductio ad absurdum

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Related to Proof by contradiction: Proof by contrapositive
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  • noun

Synonyms for reductio ad absurdum

(reduction to the absurd) a disproof by showing that the consequences of the proposition are absurd

References in periodicals archive ?
Starting from false assumptions a proof by contradiction could not reveal the cause.
More recently, in the 20th century, the intuitionists went further and came to regard proof by contradiction as an invalid method of reasoning.
Economics professors have traditionally shown their students that indifference curves cannot intersect using monotonicity and transitivity in a proof by contradiction (e.
An intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs
An easier example of proof by contradiction is demonstrating Euclid's proof that there are infinitely many prime numbers.
Researches in Mathematics Education about proof by contradiction revealed some difficulties of the students but also that this kind of argumentation comes spontaneously in certain situations.
Ambrose, Randolph Philipp, Jennifer Chauvot, and Lisa Clement); (6) "Sensing": Supporting Student Understanding of Decimal Knowledge (Glenda Anthony); (7) Non-Examples and Proof By Contradiction (Samuele Antonini); (8) Thematization of the Calculus Graphing (Bernadette Baker, Maria Trigueros, and Laurel Cooley); (9) Attention to Mathematical Structure during Participation in a Mathematics Classroom Task By Learners of English as an Additional Language (EAL) (Richard Barwell); (10) Levels of Sophistication in Elementary Students' Reasoning about Length (Michael T.