blanketglossary

Truth value

Definition

In logic and mathematics, a truth value, sometimes called a logical value, is a value indicating the relation of a proposition to truth, which in classical logic has only two possible values. Truth values are used in computing as well as various types of logic.

Related concepts

Abstract logicAckermann set theoryAleph numberAlgebraic logicAlgebraic semantics (mathematical logic)Alphabet (formal languages)ArgumentArityAtomic formulaAtomic model (mathematical logic)Atomic sentenceAutomata theoryAutomated theorem provingAxiomAxiom of choiceAxiom schemaAxiomatic systemAxiomatization of Boolean algebrasBanach–Tarski paradoxBayesian probabilityBijectionBinary operationBoolean algebraBoolean algebra (structure)Boolean algebras canonically definedBoolean data typeBoolean domainBoolean functionBrouwer–Heyting–Kolmogorov interpretationC (programming language)Cantor's diagonal argumentCantor's paradoxCantor's theoremCardinalityCartesian productCategorical theoryCategory (mathematics)Category of setsCategory theoryChurch encodingChurch–Turing thesisCircular reasoningClass (set theory)Classical logicCodomainCompactness theoremComplement (set theory)Complete theoryComputability theoryComputable functionComputable setComputably enumerable setComputingConcrete categoryConservative extensionConsistencyConstructible universeConstruction of the real numbersConstructive set theoryConstructivism (mathematics)Continuum hypothesisContradictionCountable setDe Morgan's lawsDecidability (logic)Decision problemDeductive systemDegree of truthDegrees of truthDiagram (mathematical logic)Domain of a functionDual (mathematics)Edward N. ZaltaElement (mathematics)Elementary diagramElementary equivalenceElementary function arithmeticEmpty setEmpty stringEnumerationEquality (mathematics)EquiconsistencyEquivalence relationEuclid's ElementsEuclidean geometryExistential quantificationExpression (computer science)Expression (mathematics)Extension by definitionsExtension by new constant and function namesExtensionalityFalse (logic)False dilemmaFalsumFinitary relationFinite-valued logicFinite model theoryFinite setFirst-order logicFixed-point logicForcing (mathematics)Formal grammarFormal languageFormal proofFormal semantics (logic)Formal systemFormation ruleFoundations of geometryFoundations of mathematicsFree logicFree variables and bound variablesFunction (mathematics)Functional predicateFuzzy logicFuzzy setGeneral set theoryGrothendieck universeGround expressionGround formulaGödel's completeness theoremGödel's incompleteness theoremsGödel numberingHalting problemHereditary setHeyting algebraHigher-order logicHilbert's axiomsHilbert systemHistory of logicHistory of mathematical logicImage (mathematics)Implicit type conversionInaccessible cardinalIndependence (mathematical logic)InferenceInfinite-valued logicInfinite setInformation theoryInhabited setInjective functionInterpretation (logic)Interpretation (model theory)Interpretation functionIntersection (set theory)Intuitionistic logicIntuitionistic type theoryIsomorphismJavaScriptJavaScript syntaxKolmogorov complexityKripke's theory of truthKripke–Platek set theoryLambda calculusLarge cardinalLemma (mathematics)LexicoLindström's theoremLisp (programming language)List of Hilbert systemsList of axiomsList of first-order theoriesList of formal systemsList of mathematical theoriesList of set identities and relationsList of statements independent of ZFCLogicLogical biconditionalLogical conjunctionLogical connectiveLogical consequenceLogical constantLogical disjunctionLogical equalityLogical equivalenceLogical systemLogical truthLogicismLöwenheim–Skolem theoremMany-valued logicMap (mathematics)Material conditionalMathematical logicMathematical objectMathematicsMetalanguageMinimal axioms for Boolean algebraModel complete theoryModel theoryMonadic predicate calculusMonadic second-order logicMorse–Kelley set theoryMulti-valued logicNP (complexity)NaNNaive set theoryNatural deductionNecessarily trueNegationNew FoundationsNon-Euclidean geometryNon-logical symbolNon-standard modelNon-standard model of arithmeticNull pointerOpen formulaOpen setOperation (mathematics)Ordinal analysisOrdinal numberOxford University PressPHPP (complexity)P versus NP problemParadoxParadoxes of set theoryPartition of a setPeano axiomsPermutationPhilosophy of mathematicsPower setPredicate (mathematical logic)Predicate logicPredicate variablePrime modelPrimitive recursive arithmeticPrimitive recursive functionPrincipia MathematicaProof of impossibilityProof theoryPropositionPropositional calculusPropositional formulaPropositional variableQuantifier (logic)Quantifier rankRealizabilityRecursionRecursive setRelation (mathematics)Relevance logicReverse mathematicsRobinson arithmeticRule of inferenceRussell's paradoxSatisfiabilitySaturated modelSchröder–Bernstein theoremSecond-order arithmeticSecond-order logicSelf-verifying theoriesSemantic theory of truthSemantics of logicSentence (mathematical logic)Sequent calculusSet (mathematics)Set theorySignature (logic)Singleton (mathematics)Skolem arithmeticSlingshot argumentSoundnessSpectrum of a sentenceSpectrum of a theorySquare of oppositionStanford Encyclopedia of PhilosophyStrength (mathematical logic)String (formal languages)Structure (mathematical logic)Subobject classifierSubstitution (logic)Substructure (mathematics)SupertaskSupervaluationismSurjective functionSyllogismSymbol (formal)Syntax (logic)T-schemaTarski's axiomatization of the realsTarski's axiomsTarski's theory of truthTarski's undefinability theoremTarski–Grothendieck set theoryTautology (logic)Term (logic)Term logicTheoremTheories of truthTheory (mathematical logic)Three-valued logicTimeline of mathematical logicToposTotal orderTransfer principleTransitive setTrue and false (disambiguation)True arithmeticTruthTruth-value semanticsTruth functionTruth predicateTruth tableTuring machineTwo-valued logicType (model theory)Type conversionType safetyType theoryUltrafilter (set theory)UltraproductUncountable setUndecidable problemUninterpreted functionUnion (set theory)Uniqueness quantificationUnit intervalUniversal quantificationUniversal setUniverse (mathematics)UrelementValidity (logic)Valuation (logic)Variable (computer science)Variable (mathematics)Venn diagramVerisimilitudeVerumVon Neumann universeVon Neumann–Bernays–Gödel set theoryWell-formed formulaZermelo–Fraenkel set theoryZero−0

141 concepts already in your glossary