KnowraAxiom of choiceLinked fromLinked fromThe 48 pages that link to Axiom of choice, each with the reason it gives.All 48Broader topic 2Related 32Narrower topic 5Compared with 9Axiom of dependent choiceNarrower topic: The full axiom of choice implies dependent choice, but dependent choice does not imply the full axiom.Chain (order theory)Narrower topic: Its equivalence with maximal-chain principles makes infinite chain arguments foundationally sensitive.Axiom of countable choiceNarrower topic: Countable choice is the restriction of this broader principle to countable families.Axiom of global choiceNarrower topic: Restricting the global selector to any set-sized family yields the ordinary axiom of choice.Teichmüller–Tukey lemmaNarrower topic: The lemma is equivalent to this foundational principle, despite its different maximality language.