Definition
In mathematical logic, Lindström's theorem states that first-order logic is the strongest logic having both the (countable) compactness property and the (downward) Löwenheim–Skolem property.
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Jerome KeislerHalting problemHeinz-Dieter EbbinghausHereditary setHigher-order logicHilbert's axiomsHilbert systemHistory of logicHistory of mathematical logicImage (mathematics)Inaccessible cardinalIndependence (mathematical logic)Index of logic articlesInductive reasoningInferenceInfinite-valued logicInfinite setInformal logicInformation theoryInhabited setInjective functionInstitution (computer science)Interpretation (logic)Interpretation (model theory)Interpretation functionIntersection (set theory)IsomorphismJean-Yves BéziauJohan van Benthem (logician)Jon BarwiseJouko VäänänenKolmogorov complexityKripke's theory of truthKripke–Platek set theoryLambda calculusLarge cardinalLemma (mathematics)Lindström quantifierLinguistic entailmentList of Boolean algebra topicsList of Hilbert systemsList of axiomsList of fallaciesList of first-order theoriesList of formal systemsList of logic symbolsList of logiciansList of mathematical logic topicsList of mathematical theoriesList of paradoxesList of rules of inferenceList of set identities and relationsList of set theory topicsList of statements independent of ZFCLogicLogic in computer scienceLogica UniversalisLogical biconditionalLogical conjunctionLogical connectiveLogical consequenceLogical constantLogical disjunctionLogical equalityLogical equivalenceLogical formLogical truthLogicismLöwenheim–Skolem theoremMany-valued logicMap (mathematics)Material conditionalMathematical logicMathematical objectMetalanguageMetalogicMetamathematicsMinimal axioms for Boolean algebraModal logicModel complete theoryModel theoryMonadic predicate calculusMonadic second-order logicMorse–Kelley set theoryNP (complexity)Naive set theoryNameNatural deductionNecessity and sufficiencyNegationNew FoundationsNon-Euclidean geometryNon-classical logicNon-logical symbolNon-standard modelNon-standard model of arithmeticOpen formulaOperation (mathematics)Ordinal analysisOrdinal numberOutline of logicP (complexity)P versus NP problemParadoxParadoxes of set theoryPartition of a setPeano axiomsPer LindströmPhilosophical logicPhilosophy of logicPhilosophy of mathematicsPower setPredicate (mathematical logic)Predicate logicPredicate variablePremisePrime modelPrimitive recursive arithmeticPrimitive recursive functionPrincipia MathematicaProbabilityProof of impossibilityProof theoryPropositionPropositional calculusPropositional formulaPropositional variableQuantifier (logic)Quantifier rankReasonRecursionRecursive setReferenceRelation (mathematics)Reverse mathematicsRobinson arithmeticRule of inferenceRussell's paradoxSatisfiabilitySaturated modelSchröder–Bernstein theoremSebastian EnqvistSecond-order arithmeticSecond-order logicSelf-verifying theoriesSemantic theory of truthSemantics of logicSentence (mathematical logic)Sequent calculusSet (mathematics)Set theorySignature (logic)Singleton (mathematics)Skolem arithmeticSolomon FefermanSoundnessSpectrum of a sentenceSpectrum of a theorySpringer-VerlagSquare of oppositionStatement (logic)Strength (mathematical logic)String (formal languages)Structure (mathematical logic)Substitution (logic)Substructure (mathematics)SupertaskSurjective 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 logicTheoremTheoria (philosophy journal)Theories of truthTheory (mathematical logic)Three-valued logicTimeline of mathematical logicTransfer principleTransitive setTrue arithmeticTruthTruth predicateTruth tableTruth valueTuring machineType (model theory)Type theoryUltrafilter (set theory)UltraproductUncountable setUndecidable problemUninterpreted functionUnion (set theory)Uniqueness quantificationUniversal quantificationUniversal setUniverse (mathematics)UrelementValidity (logic)Variable (mathematics)Venn diagramVon Neumann universeVon Neumann–Bernays–Gödel set theoryWell-formed formulaZermelo–Fraenkel set theory
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