Hilbert's axioms are a set of 20 (originally 21) assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie (tr. The Foundations of Geometry) as the foundation for a modern treatment of Euclidean geometry. Other well-known modern axiomatizations of Euclidean geometry are those of Alfred Tarski and of George Birkhoff.
Read more about Hilbert's Axioms: The Axioms, Hilbert's Discarded Axiom, Editions and Translations of Grundlagen Der Geometrie, Application
Famous quotes containing the word axioms:
““I tell you the solemn truth that the doctrine of the Trinity is not so difficult to accept for a working proposition as any one of the axioms of physics.””
—Henry Brooks Adams (1838–1918)