KnowraLarge cardinalLinked fromLinked fromThe 5 pages that link to Large cardinal, each with the reason it gives.All 5Related 3Narrower topic 1Compared with 1Descriptive set theoryNarrower topic: Large-cardinal hypotheses imply determinacy and regularity results for definable sets.Axiom of constructibilityCompared with: V = L is incompatible with many large-cardinal hypotheses, revealing its restrictive set-theoretic universe.Axiom of determinacyRelated: Determinacy for increasingly complex payoffs is connected to large-cardinal strength.Ordinal analysisRelated: Large-cardinal strength tests the limits of established ordinal-analysis techniques.Axiom (mathematics and logic)Related: Large-cardinal principles raise questions about which extensions of foundational axiom systems to adopt.