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Axiom systemLogical calculusAxiom of infinityZermelo-fraenkel set theoryProofArithmetical setFormal logicZermelo set theoryAxiom of choiceSystemMathematical logicMonadic second-order logicAxiom of pairingSecond-order logicAxiom of extensionalityGödel's incompleteness theoremLogicAxiom of unionIntuitionistic logicAxiom of regularityAxiom of power setLogicismArithmetical hierarchySequent calculusConservative extensionField axiomLöb's theoremExtensionalityPropositional calculusGeneralizationAbsolute geometryNumber systemTernary logicConstructive logicLaw of identitySystem of equationsLinear systemTheorySet theoryPeano arithmeticBoolean logicSchematic variablePrinciple of explosionPresburger arithmeticArmstrong's axiomsPeano axiomClarithmeticField axiomsSetsStructureCorollarySetoidHerbrand's theoremComputability logicZermelo's theoremAlgebraic structureAxiom of countable choiceEigenvariableAkousmaElementary equivalenceMetamathematicsPropositional constantSpecializationValuationQuantum logicFuzzy logicCommon knowledgeTruth tableTotally ordered setStructuralityArithmetic hierarchyTheoremCountable setTableauTruthsetFundamentComputability theoryCompleteness axiomClassInductionRedexMathesisEquivalenceHyperstructureCompletenessCalculusUniversal setType theoryCanonical formalismWell-orderMathematical structureWeakeningForcingTransitivityDemonstrationPattern theoryAnsatzFuzzy mathematicsLinear logicAnholonomy