KnowraFoundations of GeometryLinked fromLinked fromThe 8 pages that link to Foundations of Geometry, each with the reason it gives.All 8Broader topic 2Related 1Narrower topic 5Euclid's ElementsRelated: Modern foundational work examined assumptions that Euclid left implicit.Nikolai LobachevskyNarrower topic: His work raised the question of whether Euclidean axioms uniquely describe geometry.Hilbert's axiomsBroader topic: This book introduced the axioms and investigated their logical relations.BetweennessNarrower topic: Betweenness became a foundational relation in rigorous reconstructions of geometry.Tarski's axiomsNarrower topic: Tarski's work is a distinctive modern approach to this foundational subject.Oswald VeblenBroader topic: The book made Veblen’s rigorous treatment of geometric foundations widely accessible.Cantor–Dedekind axiomNarrower topic: The axiom belongs to the effort to state precisely what a continuous line is.Pasch's theoremNarrower topic: The theorem is one of the principles used to formalize geometric order.