Linked from

The 6 pages that link to Transfinite induction, each with the reason it gives.

• Set theoryRelated: It proves statements about ordinals and constructions that continue beyond every finite stage.

• Ordinal numberRelated: Ordinal structure makes induction possible across infinite stages.

• Ordinal analysisRelated: A theory’s available transfinite induction helps determine its ordinal strength.

• Well-orderRelated: A least counterexample would contradict the induction step.