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Tarski's undefinability theoremAbstract algebraic logicAlgebraic logicSymbolic logicAxiom of extensionalityLog structureTarski's axiomsAlgebraic number theorySecond-order arithmeticFractional idealStructuralityFirst-order logicPeano arithmeticAxiomatic systemSecond-order logicHurewicz theoremCotangent complexOrthogonalityFirst-countable spaceCartan decompositionPicard-lindelöf theoremNatural deductionMathematical logicCategory theoryCanonical mapFree objectNullstellensatzCalculus of constructionsIntensional logicKoszul complexFunctional calculusArithmetical setClifford algebraCauchy's integral formulaLocal quantum field theoryAnalytic number theoryAlgebraic topologyAxiom of infinityHomological algebraArithmetic geometryCommutative algebraPythagorean theoremDistributive propertyAlgebraic fractionEquationSerre dualityLimitQuantum logicArithmetic groupIntegration using euler's formulaGeometric calculusDe morgan algebraAnalytical hierarchyAbstract algebraNew foundationsEquivariant mapZermelo-fraenkel set theoryType theoryArchimedean propertyExterior algebraAlgebraic closureGeometric algebraAxiom of pairingClass field theoryClosed-subgroup theoremLambda calculusQuotientPropositional logicIsomorphism theoremsDifferential formBoolean algebraPythagorean trigonometric identityOperator theoryCantor spaceRelation algebraIncidence algebraEquivalence relationCombinatory logicTheoremPentagonal number theoremModular latticeEuclidean topologySemi-simplicityAxiom of choiceProof systemComposition algebraExtensionalityF-algebraLie algebraMaclaurin's inequalityFibrationIntersection theoryLogicismAlgebra homomorphismPoisson algebraAlgebraic integerType constructorMathematicsAxiom schemaDivision algebra