KnowraOrdinal numberLinked fromLinked fromThe 34 pages that link to Ordinal number, each with the reason it gives.All 34Broader topic 1Related 21Narrower topic 9Compared with 3John von NeumannNarrower topic: His set-based definition of ordinals became a standard way to represent them.Zermelo–Fraenkel set theoryNarrower topic: Ordinals extend the set-theoretic construction of natural numbers to transfinite orders.Transfinite recursionNarrower topic: Ordinals index the stages of the recursion and distinguish successor stages from limits.Axiom of infinityNarrower topic: The natural numbers can be represented as the least infinite ordinal.Ordinal analysisNarrower topic: Transfinite ordinals are the measures at the heart of the method.Transfinite inductionNarrower topic: Transfinite induction ranges over ordinal positions, including infinite stages.Von Neumann universeNarrower topic: Ordinals name the stages at which the cumulative hierarchy grows.Well-orderNarrower topic: Ordinals classify well-orders up to order-preserving bijection.Fodor's lemmaNarrower topic: Regressiveness depends on ordinal order, and the theorem's cardinal domain is itself an ordinal.