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Axiom of choiceAxiom of unionAxiom of extensionalityAxiom of infinityAxiom of countable choiceAxiom of pairingAxiom of power setScott's trickWell-orderExtensionalityCantor-bendixson theoremAxiomatic systemRussell's paradoxContinuum hypothesisZermelo set theoryCardinalityPartitionAlgebraCompleteness axiomCantor's theoremZermelo's theoremSperner's theoremOrdinal numberCountable setZorn's lemmaOrder typeAxiom systemNormal spaceSetsOrderTransitive setEmpty setSetoidSet theoryZermelo-fraenkel set theoryGeneralized continuum hypothesisUniversal setConnectionArithmetical setElementary equivalenceπ-systemEquivalence classAbsolute complementLinear orderIdealMatiyasevich's theoremSet-theoretic differenceDiscrete setEquivalence relationTotally ordered setGödel's incompleteness theoremSupersetUncountable setBinary relationCountable additivityGalileo's paradoxTransitive closureGeneralizationEquivalenceLimit ordinalLaw of identityNull setRegular spaceLöwenheim-skolem theoremVenn diagramUnionCorrespondenceNullstellensatzOrdered setBijectionDisjoint setGeneric propertyUrelementRelative complementTotal orderRobinson arithmeticSet operationIntersectionPowerElementPower setPartially ordered setSingletonPeano axiomCompletenessMaximalQuasiorderField axiomField axiomsLimit cardinalSymmetric differencePartial ordering relationCartesian squareQuotient setNonsingularityDiscrete mathDiscrete topologySylow theoremPigeonhole principleCongruence