An essay on the foundations of geometry
Free

An essay on the foundations of geometry

By Bertrand Russell
Free
Book Description
Table of Contents
  • AN ESSAY ON THE FOUNDATIONS OF GEOMETRY
  • PREFACE.
  • TABLE OF CONTENTS.
  • INTRODUCTION. OUR PROBLEM DEFINED BY ITS RELATIONS TO LOGIC, PSYCHOLOGY AND MATHEMATICS.
    • FOOTNOTES:
  • CHAPTER I. A SHORT HISTORY OF METAGEOMETRY.
    • First Period.
    • Second Period.
    • Third Period.
    • FOOTNOTES:
  • CHAPTER II. CRITICAL ACCOUNT OF SOME PREVIOUS PHILOSOPHICAL THEORIES OF GEOMETRY.
    • Kant.
    • Riemann.
    • Helmholtz.
    • Erdmann.
    • Lotze.
    • DelbÅ“uf.
    • FOOTNOTES:
  • CHAPTER III.
    • Section A. THE AXIOMS OF PROJECTIVE GEOMETRY.
    • Section B. THE AXIOMS OF METRICAL GEOMETRY.
      • I. The Axiom of Free Mobility.
      • II. The Axiom of Dimensions[163].
      • III. The Axiom of Distance.
    • FOOTNOTES:
  • CHAPTER IV. PHILOSOPHICAL CONSEQUENCES.
    • Conclusion.
    • FOOTNOTES:
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