Back مسلمات هلبرت Arabic Axiomes de Hilbert Catalan Hilberts Axiomensystem der euklidischen Geometrie German Αξιώματα Χίλμπερτ Greek Axiomas de Hilbert Spanish اصول هیلبرت Persian Hilbertin aksioomat Finnish Axiomes de Hilbert French Axiomas de Hilbert Galician מערכת האקסיומות של הילברט HE
Hilbert's axioms are a set of 20 assumptions proposed by David Hilbert in 1899 in his book Grundlagen der Geometrie[1][2][3][4] (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.
- ^ Sommer, Julius (1900). "Review: Grundlagen der Geometrie, Teubner, 1899" (PDF). Bull. Amer. Math. Soc. 6 (7): 287–299. doi:10.1090/s0002-9904-1900-00719-1.
- ^ Poincaré, Henri (1903). "Poincaré's review of Hilbert's "Foundations of Geometry", translated by E. V. Huntington" (PDF). Bull. Amer. Math. Soc. 10: 1–23. doi:10.1090/S0002-9904-1903-01061-1.
- ^ Schweitzer, Arthur Richard (1909). "Review: Grundlagen der Geometrie, Third edition, Teubner, 1909" (PDF). Bull. Amer. Math. Soc. 15 (10): 510–511. doi:10.1090/s0002-9904-1909-01814-2.
- ^ Gronwall, T. H. (1919). "Review: Grundlagen der Geometrie, Fourth edition, Teubner, 1913" (PDF). Bull. Amer. Math. Soc. 20 (6): 325–326. doi:10.1090/S0002-9904-1914-02492-9.