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Reductio ad absurdumContradictionContrapositiveDemonstrationInfinite descentLaw of double negationCorollaryProofFalsumDisjunctive syllogismPrinciple of explosionMathematical inductionLaw of excluded middleCircleInductionDe morgan's lawTheoremLogicGödel's incompleteness theoremFormal logicLöb's theoremInverseMathematical logicLaw of the excluded middleOppositeGeneralizationConstructive logicPropositionNegativeInequationCountertermPropositional calculusNew mathVerificationNonpositivityHerbrand's theoremQuotientSpecializationConservative extensionConversionIntuitionistic logicDouble countingInverse proportionDiagram chasingDerivationWeakeningLaw of identityCounterformulaMinusHalmosBiconditionalityNot operatorAbscissio infinitiZero-knowledge proofLogicismBase caseEquivalenceGirard's paradoxLogical calculusSequent calculusNot functionDiagonal argumentEuclid's lemmaParabolismReductivityExclusive disjunctionAxiomatic systemMatiyasevich's theoremSubdivergenceConstructivismDiagram chaseAdditive inverseImpredicativitySorites paradoxExhaustionQuasiderivationEquisatisfiabilityUndersimplificationRosser's trickIrrationalityEliminationBanach-tarski paradoxTheoryBayes' theoremCoinductionAbstract nonsensePólya's conjecturePseudofunctionBurali-forti paradoxFermat's last theoremConsequentRussell's paradoxIrredundanceDegreeReductionHorseshoeImplicantPseudomathematicsBinomial seriesSubtraction