KnowraIndependence (mathematical logic)Linked fromLinked fromThe 10 pages that link to Independence (mathematical logic), each with the reason it gives.All 10Related 10Set theoryRelated: Set theory has prominent independent statements, showing that foundational axioms leave some questions undecided.Continuum hypothesisRelated: The continuum hypothesis is independent of ZFC, assuming ZFC is consistent.ConsistencyRelated: Consistency alone does not decide every sentence expressible in a theory.Axiomatic methodRelated: Independent statements reveal what a chosen set of axioms leaves undecided.Foundations of GeometryRelated: Independence results show whether a geometric postulate adds genuine content to the others.Axiomatic systemRelated: Independent statements mark choices that the existing axioms leave unresolved.Hilbert's axiomsRelated: Independence tests ask whether a Hilbert axiom contributes an assumption not implied by the others.Paris–Harrington theoremRelated: The result is commonly described as independence from Peano arithmetic.Axiom (general principle)Related: Independent statements show that a chosen axiom set may leave claims undecided.Axiom (mathematics and logic)Related: Independence shows that an axiom set may leave some questions undecided.