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Transfinite numberTransfiniteMathematical inductionInductionAxiom of infinityUncountable setTranscendence degreeInfinite seriesAleph-oneContinuum hypothesisExtensionalityTranscendental number theoryOrdinal numberHypercontinuumCardinal numberInfinite descentAleph-nullFinitismLimit ordinalGeneralized continuum hypothesisFiltrationCoinductionTransitivityLimit cardinalLöwenheim-skolem theoremTranscendenceRecursion theoryAleph numberSuperextensionTransitive setInjectivityInaccessibleInfinityLindemann-weierstrass theoremSequent calculusCantor's theoremTransitive closureHypertranscendenceLattice theoryCofinalityEpsilon numberCardinalityArithmetical setAlgebraProfinite groupWell-orderArithmetical hierarchyUltrafinitismLinear orderMatiyasevich's theoremSet theoryP-adic ordinalGrothendieck universeCantor-bendixson theoremGelfond-schneider theoremDiagonal argumentFinite continued fractionPregeometryOrderGrandi's seriesAxiom of extensionalityCountable setComplexificationLong exact sequenceSubshiftTranscendental numberTransseriesCompleteness axiomBijective numerationTranscendental functionTotal orderConservative extensionPowerPrewellorderingTotal ordering relationSuccessorBijectionFilterExtended real number systemGeneralizationHypersequentHigher arithmeticLefschetz fixed-point theoremZermelo's theoremType theoryOrder typeNumbernessAxiom of choiceBurali-forti paradoxSupertransformationσ-finite measurePartial ordering relationInfinite continued fractionDiscrete mathInverse limitGenerating functionSecond-order logicNonstandard analysisAdditive number theoryIndependence number