KnowraMartin's axiomLinked fromLinked fromThe 6 pages that link to Martin's axiom, each with the reason it gives.All 6Related 3Compared with 3Descriptive set theoryRelated: It influences cardinal invariants and regularity questions involving sets of reals.Forcing (mathematics)Related: Forcing constructions establish its consistency with ZFC and explore its consequences.Axiom of constructibilityCompared with: Martin’s axiom is compatible with ¬CH, whereas V = L implies CH.Borel conjectureCompared with: Some versions of this axiom imply every strong measure zero set has size below the continuum, weaker than countability.Diamond principleCompared with: It can coexist with failures of diamond, contrasting forcing-based genericity with prediction.Rasiowa–Sikorski lemmaRelated: It generalizes the existence pattern behind the lemma to larger families of dense sets.