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- Reductio_ad_absurdum abstract "Reductio ad absurdum (Latin: \"reduction to absurdity\"; pl.: reductiones ad absurdum), also known as argumentum ad absurdum (Latin: \"argument to absurdity\", pl.: argumenta ad absurdum), is a common form of argument which seeks to demonstrate that a statement is true by showing that a false, untenable, or absurd result follows from its denial, or in turn to demonstrate that a statement is false by showing that a false, untenable, or absurd result follows from its acceptance.First recognized and studied in classical Greek philosophy (the Latin term derives from the Greek ἐις ἀτοπον ἀπαγωγή or eis atopon apagoge, \"reduction to the impossible\", for example in Aristotle's Prior Analytics), this technique has been used throughout history in both formal mathematical and philosophical reasoning, as well as informal debate.The \"absurd\" conclusion of a reductio ad absurdum argument can take a range of forms: The Earth cannot be flat, otherwise we would find people falling off the edge. There is no smallest positive rational number, because if there were, then it could be divided by two to get a smaller one.The first example above argues that the denial of the assertion would have a ridiculous result; it would go against the evidence of our senses. The second is a mathematical proof by contradiction, arguing that the denial of the premise would result in a logical contradiction (there is a \"smallest\" number and yet there is a number smaller than it).".
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- Reductio_ad_absurdum wikiPageLength "9715".
- Reductio_ad_absurdum wikiPageOutDegree "40".
- Reductio_ad_absurdum wikiPageRevisionID "706532836".
- Reductio_ad_absurdum wikiPageWikiLink Absurdity.
- Reductio_ad_absurdum wikiPageWikiLink Ancient_Greek_philosophy.
- Reductio_ad_absurdum wikiPageWikiLink Argument.
- Reductio_ad_absurdum wikiPageWikiLink Argument_from_fallacy.
- Reductio_ad_absurdum wikiPageWikiLink Aristotle.
- Reductio_ad_absurdum wikiPageWikiLink Category:Arguments.
- Reductio_ad_absurdum wikiPageWikiLink Category:Latin_logical_phrases.
- Reductio_ad_absurdum wikiPageWikiLink Category:Latin_philosophical_phrases.
- Reductio_ad_absurdum wikiPageWikiLink Category:Madhyamaka.
- Reductio_ad_absurdum wikiPageWikiLink Category:Theorems_in_propositional_logic.
- Reductio_ad_absurdum wikiPageWikiLink Contradiction.
- Reductio_ad_absurdum wikiPageWikiLink Contraposition.
- Reductio_ad_absurdum wikiPageWikiLink Dialetheism.
- Reductio_ad_absurdum wikiPageWikiLink Georg_Wilhelm_Friedrich_Hegel.
- Reductio_ad_absurdum wikiPageWikiLink Graham_Priest.
- Reductio_ad_absurdum wikiPageWikiLink Heraclitus.
- Reductio_ad_absurdum wikiPageWikiLink Homer.
- Reductio_ad_absurdum wikiPageWikiLink Latin.
- Reductio_ad_absurdum wikiPageWikiLink Law_of_noncontradiction.
- Reductio_ad_absurdum wikiPageWikiLink Law_school.
- Reductio_ad_absurdum wikiPageWikiLink List_of_Latin_phrases.
- Reductio_ad_absurdum wikiPageWikiLink Logic.
- Reductio_ad_absurdum wikiPageWikiLink Logical_consequence.
- Reductio_ad_absurdum wikiPageWikiLink Mathematical_proof.
- Reductio_ad_absurdum wikiPageWikiLink Newton_da_Costa.
- Reductio_ad_absurdum wikiPageWikiLink Paraconsistent_logic.
- Reductio_ad_absurdum wikiPageWikiLink Plato.
- Reductio_ad_absurdum wikiPageWikiLink Pre-Socratic_philosophy.
- Reductio_ad_absurdum wikiPageWikiLink Principle_of_explosion.
- Reductio_ad_absurdum wikiPageWikiLink Prior_Analytics.
- Reductio_ad_absurdum wikiPageWikiLink Proof_by_contradiction.
- Reductio_ad_absurdum wikiPageWikiLink Rational_number.
- Reductio_ad_absurdum wikiPageWikiLink Russells_paradox.
- Reductio_ad_absurdum wikiPageWikiLink Socrates.
- Reductio_ad_absurdum wikiPageWikiLink Socratic_method.
- Reductio_ad_absurdum wikiPageWikiLink Straw_man.
- Reductio_ad_absurdum wikiPageWikiLink Walter_Carnielli.
- Reductio_ad_absurdum wikiPageWikiLink Xenophanes.
- Reductio_ad_absurdum wikiPageWikiLinkText "''ad absurdum''".
- Reductio_ad_absurdum wikiPageWikiLinkText "Classical reductio ad absurdum".
- Reductio_ad_absurdum wikiPageWikiLinkText "Proof by contradiction".
- Reductio_ad_absurdum wikiPageWikiLinkText "Reductio ad absurdum".
- Reductio_ad_absurdum wikiPageWikiLinkText "absurd consequences".
- Reductio_ad_absurdum wikiPageWikiLinkText "absurd or humorously exaggerated takes".
- Reductio_ad_absurdum wikiPageWikiLinkText "absurd".
- Reductio_ad_absurdum wikiPageWikiLinkText "absurdity".
- Reductio_ad_absurdum wikiPageWikiLinkText "ad absurdum".
- Reductio_ad_absurdum wikiPageWikiLinkText "an absurdity".
- Reductio_ad_absurdum wikiPageWikiLinkText "antithetical".
- Reductio_ad_absurdum wikiPageWikiLinkText "argument by contradiction".
- Reductio_ad_absurdum wikiPageWikiLinkText "assume the contrary".
- Reductio_ad_absurdum wikiPageWikiLinkText "contradiction".
- Reductio_ad_absurdum wikiPageWikiLinkText "contradictions".
- Reductio_ad_absurdum wikiPageWikiLinkText "contradictory".
- Reductio_ad_absurdum wikiPageWikiLinkText "derives a contradiction from that assumption".
- Reductio_ad_absurdum wikiPageWikiLinkText "impossible".
- Reductio_ad_absurdum wikiPageWikiLinkText "logical contradiction".
- Reductio_ad_absurdum wikiPageWikiLinkText "proof by contradiction".
- Reductio_ad_absurdum wikiPageWikiLinkText "proofs by contradiction".
- Reductio_ad_absurdum wikiPageWikiLinkText "prove by contradiction".
- Reductio_ad_absurdum wikiPageWikiLinkText "reasoning".
- Reductio_ad_absurdum wikiPageWikiLinkText "reduce to absurdity".
- Reductio_ad_absurdum wikiPageWikiLinkText "reductio ad absurdum".
- Reductio_ad_absurdum wikiPageWikiLinkText "reductio".
- Reductio_ad_absurdum wikiPageWikiLinkText "reductios".
- Reductio_ad_absurdum wikiPageWikiLinkText "refutation".
- Reductio_ad_absurdum wikiPageWikiLinkText "towards a contradiction".
- Reductio_ad_absurdum wikiPageUsesTemplate Template:Citation_needed.
- Reductio_ad_absurdum wikiPageUsesTemplate Template:IEP.
- Reductio_ad_absurdum wikiPageUsesTemplate Template:Italic_title.
- Reductio_ad_absurdum wikiPageUsesTemplate Template:Main.
- Reductio_ad_absurdum wikiPageUsesTemplate Template:Reflist.
- Reductio_ad_absurdum subject Category:Arguments.
- Reductio_ad_absurdum subject Category:Latin_logical_phrases.
- Reductio_ad_absurdum subject Category:Latin_philosophical_phrases.
- Reductio_ad_absurdum subject Category:Madhyamaka.
- Reductio_ad_absurdum subject Category:Theorems_in_propositional_logic.
- Reductio_ad_absurdum hypernym Form.
- Reductio_ad_absurdum type Concept.
- Reductio_ad_absurdum type Redirect.
- Reductio_ad_absurdum type Theorem.
- Reductio_ad_absurdum comment "Reductio ad absurdum (Latin: \"reduction to absurdity\"; pl.: reductiones ad absurdum), also known as argumentum ad absurdum (Latin: \"argument to absurdity\", pl.: argumenta ad absurdum), is a common form of argument which seeks to demonstrate that a statement is true by showing that a false, untenable, or absurd result follows from its denial, or in turn to demonstrate that a statement is false by showing that a false, untenable, or absurd result follows from its acceptance.First recognized and studied in classical Greek philosophy (the Latin term derives from the Greek ἐις ἀτοπον ἀπαγωγή or eis atopon apagoge, \"reduction to the impossible\", for example in Aristotle's Prior Analytics), this technique has been used throughout history in both formal mathematical and philosophical reasoning, as well as informal debate.The \"absurd\" conclusion of a reductio ad absurdum argument can take a range of forms: The Earth cannot be flat, otherwise we would find people falling off the edge. ".
- Reductio_ad_absurdum label "Reductio ad absurdum".
- Reductio_ad_absurdum sameAs Q14402006.
- Reductio_ad_absurdum sameAs برهان_الخلف.
- Reductio_ad_absurdum sameAs Давядзенне_да_абсурду.
- Reductio_ad_absurdum sameAs Довеждане_до_абсурд.
- Reductio_ad_absurdum sameAs Reductio_ad_absurdum.
- Reductio_ad_absurdum sameAs Reduccixc3xb3_a_labsurd.
- Reductio_ad_absurdum sameAs Absurd_(logik).
- Reductio_ad_absurdum sameAs Reductio_ad_absurdum.
- Reductio_ad_absurdum sameAs Reductio_ad_absurdum.
- Reductio_ad_absurdum sameAs Reductio_ad_absurdum.
- Reductio_ad_absurdum sameAs Reductio_ad_absurdum.
- Reductio_ad_absurdum sameAs Raisonnement_par_labsurde.