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Peano arithmeticPeano existence theoremArithmetical setZermelo-fraenkel set theoryAxiom of extensionalityPresburger arithmeticNewton's identitiesAxiomatic systemHilbert's axiomsIsomorphism theoremsAxiom of pairingFirst-order logicLegendre polynomialsAxiom of infinitySecond-order arithmeticTarski's axiomsDedekind numberPell numberNew foundationsCardinal numberAxiomPythagorean trigonometric identityEuclid numberMathematical logicEisenstein integerAxiom of determinacyParallel postulateProbability axiomsSchur polynomialNumber theoryLöb's theoremSupernatural numberDedekind cutPythagorean theoremAleph numberMersenne conjecturesPrime number theoremArithmetic groupHilbert's syzygy theoremMartin's axiomPentagonal number theoremNullstellensatzFundamental theorem of arithmeticArithmetical hierarchyConstructible universeAlgebraic structureTarski's undefinability theoremCantor's diagonal argumentSylow theoremsBinomial coefficientDirichlet's approximation theoremLegendre functionJordan measureFibonacci numberGaussian binomial coefficientIndex setMathematicsAlgebraic number theoryCatalan numberAxiom of choiceDiophantine equationIntuitionistic logicHilbert's nullstellensatzLindemann-weierstrass theoremAxiom schemaPropositional logicPascal's triangleAxiom schema of specificationSet-builder notationPascal's ruleBernoulli polynomialsParis-harrington theoremGeneralizations of pauli matricesAxiom of regularityPolynomialFormal proofAlgebra of setsSymbolic logicTerm logicBoolean algebraTrigonometric functionsJacobi polynomialsEuclidean geometryArchimedean propertyPascal matrixStructuralismAxiom of unionCantor spaceD'alembert's principleMatiyasevich's theoremPartially ordered setMathematical inductionPrime elementExtensionalityBell triangleCategory theoryRoth's theoremDedekind domainPontryagin classCylindric algebra