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Definitions of reductio:

noun: (reduction to the absurd) a disproof by showing that the consequences of the proposition are absurd; or a proff of a proposition by showing that its negation leads to a contradiction

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Alternative Terms
contradiction latin argue law-of-noncontradiction law-of-excluded-middle greek-language aristotle appeal-to-ridicule informal-fallacy mathematical-proof-2 theorem formal-fallacy prime-number pythagoras-s-constant infinite-regress tautology-logic irrational-number cantor-s-diagonal-argument philosophy-of-mathematics intuitionism luitzen-egbertus-jan-brouwer brouwer-fixed-point-theorem argument-from-ignorance euclid parallel-postulate 19th-century j-nos-bolyai-2 carl-friedrich-gauss nikolai-lobachevsky bernhard-riemann non-euclidean-geometry morris-kline mathematical-logic union-set-theory logical-disjunction logical-conjunction isaac-barrow q-e-d g-h-hardy a-mathematician-s-apology chess gambit reductio-ad-hitlerum indirect-proof absurd sonnet16-poem bhavaviveka principle-of-non-contradiction destructive pr-sa-gika candrak-rti sv-tantrika-madhyamaka georg-cantor the-bald-soprano-play-4 demonstration indirect

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