KnowraAxiom of infinityLinked fromLinked fromThe 7 pages that link to Axiom of infinity, each with the reason it gives.All 7Broader topic 1Related 6Zermelo–Fraenkel set theoryRelated: It ensures the theory contains an infinite set rather than only finite constructions.Axiom of pairingRelated: Pairing helps construct finite sets, while infinity asserts a set beyond all finite stages.Axiom of unionRelated: Its inductive set supports constructions in which union takes limits of increasing sequences of sets.Axiom of FoundationRelated: Infinity builds an unending set of numbers without requiring an infinite descending membership chain.Large cardinalRelated: It guarantees infinite sets, but does not establish the stronger cardinal properties at issue here.Axiom schema of replacementRelated: Infinity supplies an initial infinite set; replacement supports further transfinite set constructions.