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Reductio ad absurdum

In logic, reductio ad absurdum (Latin for "reduction to absurdity"), also known as argumentum ad absurdum (Latin for "argument to absurdity"), apagogical argument, or proof by contradiction, is the form of argument that attempts to establish a claim by showing that following the logic of a contrary proposition or argument would lead to absurdity or…

Greek philosophy, Buddhist philosophy & Examples of proofs by contradiction

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Greek philosophy

Greek philosophyXenophanes of ColophonBCEHomerEuclid of Alexandria
19 related topics

Buddhist philosophy

MadhyamakaBuddhist philosophyEssentialistMūlamadhyamakakārikāNāgārjuna
10 related topics

Examples of proofs by contradiction

Euclid's ElementsDavid HilbertNullstellensatzPolynomialsComplex
7 related topics

Examples of refutations by contradiction

√2Lowest termsIntegersEvenIrrational
7 related topics

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Examples

Greek philosophy

Buddhist philosophy

Modern philosophy

Relation to the principle of non-contradiction

Formalization

Justification

Relationship with other proof techniques

Proof by contradiction in intuitionistic logic

Examples of proofs by contradiction

Infinitude of primes

Examples of refutations by contradiction

Notation

Automated theorem proving

Sources

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Reductio ad absurdum

Nodes111
Edges110
Triples80
Avg. degree1.98
Density0.018018
Components1

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Reductio ad absurdum

Top relations

related to Sources · 31
Reductio ad absurdum → An Exercise, Argument Prior, Aristotle, Cornell University, Daigle, Diana, Dominic, Edward, Garfield, Hyde, In Zalta, ISSN, Jan, Jay, Mary, Middle Way, OCLC, Oxford, Oxford University PressPasti, Philosophy
related to Greek philosophy · 13
Reductio ad absurdum → Alexandria, Archimedes, BCE, But, Colophon, Criticizing Homer's, Euclid, Greek, Reductio, Syracuse, The, Therefore, Xenophanes
related to Buddhist philosophy · 12
Reductio ad absurdum → As, Buddhist Abhidharma, Hindu Nyāya, In, Madhyamaka Buddhist, Much, Mūlamadhyamakakārikā, Nagarjuna, Nāgārjuna's, Sanskrit, Vaibhasika, Vaiśeṣika
related to External links · 11
Reductio ad absurdum → Bradley, Dowden, Internet Encyclopedia, ISSN, James, OCLC, Philosophy, Reductio, The, Wiktionary-logo-en-v2, WiktionaryFieser
related to Modern philosophy · 9
Reductio ad absurdum → Contemporary, Holmes, Included, Lewis White Beck, Morality, On War, Robert, Spectator, The Actor
related to Examples · 4
Reductio ad absurdum → Earth, The, The Earth, There

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Important terminology

contradiction proof displaystyle proposition also reductio ad refutation absurdum would even false argument logic negation form used socrates example follows

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Reductio ad absurdumrelated to Buddhist philosophyMuch0.60section
Reductio ad absurdumrelated to Buddhist philosophyMadhyamaka Buddhist0.60section
Reductio ad absurdumrelated to Buddhist philosophySanskrit0.60section
Reductio ad absurdumrelated to Buddhist philosophyIn0.60section
Reductio ad absurdumrelated to Buddhist philosophyMūlamadhyamakakārikā0.60section
Reductio ad absurdumrelated to Buddhist philosophyNāgārjuna's0.60section
Reductio ad absurdumrelated to Buddhist philosophyBuddhist Abhidharma0.60section
Reductio ad absurdumrelated to Buddhist philosophyVaibhasika0.60section
Reductio ad absurdumrelated to Buddhist philosophyHindu Nyāya0.60section
Reductio ad absurdumrelated to Buddhist philosophyVaiśeṣika0.60section
Reductio ad absurdumrelated to Buddhist philosophyNagarjuna0.60section
Reductio ad absurdumrelated to Buddhist philosophyAs0.60section

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