KnowraTransfinite recursionLinked fromLinked fromThe 9 pages that link to Transfinite recursion, each with the reason it gives.All 9Broader topic 1Related 7Compared with 1Axiom of choiceRelated: Choice can supply elements at successive stages when a recursive construction offers several options.Ordinal numberRelated: Ordinal stages let definitions continue through limit points as well as successors.Well-ordering theoremRelated: Well-orderings let recursive constructions choose successive elements until a set is exhausted.Cumulative hierarchyRelated: It specifies the hierarchy's levels at every ordinal stage.Von Neumann universeRelated: It specifies the hierarchy at successor and limit ordinals.Axiom schema of replacementRelated: Replacement collects the stages of recursive constructions into sets.Well-orderRelated: The order ensures each stage depends only on values already defined.