The Axiomatic Method, with Special Reference to Geometry and Physics

TOC: PART I: FOUNDATIONS OF GEOMETRY: 1.) Die Mannigfaltigkeit der Direktiven fur die Gestaltung Geometrischer Axiomensysteme by Paul Bernays -- 2.) What is Elementary Geometry? by Alfred Tarski -- 3.) Some Metamathematical Problems Concerning Elementary Hyperbolic Geometry by Wanda Szmielew -- 4.) Dimension in Elementary Euclidean Geometry by Dana Scott -- 5.) Binary Relations as Primitive Notions in Elementary Geometry by Raphael M. Robinson -- 6.) Remarks on Primitive Notions for Elementary Euclidean and Non-Euclidean Plane Geometry by H.L. Royden -- 7.) Direct Introduction of Weierstrass Homogeneous Coordinates in the Hyperbolic Plane, on the Basis of the Endcalculus of Hilbert by Paul Szasz -- 8.) Axiomatischer Aufbau der Ebenen Absoluten Geometrie by Friedrich Bachmann -- 9.) New Metric Postulates for Elliptic n-Space by Leonard M. Blumenthal -- 10.) Axioms for Geodesics and Their Implications by Herbert Busemann -- 11.) Axioms for Intuitionistic Plane Affine Geometry by A. Heyting -- 12.) Grundlagen der Geometrie Vom Standpunkte der Allgemeinen Topologie Aus by Karol Borsuk -- 13.) Lattice-Theoretic Approach to Projective and Affine Geometry by Bjarni Jonsson -- 14.) Conventionalism in Geometry by Adolf Grunbaum -------------- PART II: FOUNDATIONS OF PHYSICS: 15.) How Much Rigor is Possible in Physics? by P.W. Bridgman -- 16.) La Finitude en Mecanique Classique, Ses Axiomes et Leurs Implications by Alexandre Froda -- 17.) The Foundations of Rigid Body Mechanics and the Derivation of its Laws from Those of Particle Mechanics by Ernest W. Adams -- 18.) The Foundations of Classical Mechanics in the Light of Recent Advances in Continuum Mechanics by Walter Noll -- 19.) Zur Axiomatisierung der Mechanik by Hans Hermes -- 20.) Axioms for Relativistic Kinematics with or without Parity by Patrick Suppes -- . . . .