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An essay on the foundations of geometry
Bertrand Russell
Before the logic and the fame, Bertrand Russell wrote a dissertation on geometry. His first philosophical book surveys the strange new non Euclidean systems in a short history of metageometry, criticizes earlier theories, and asks what geometry must be true for experience to be possible. Youthful Russell: confident, rigorous, already unmistakable. Watch a great career take its first proof.
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28 chapters
- 1AN ESSAY ON THE FOUNDATIONS OF GEOMETRY
- 2PREFACE.
- 3TABLE OF CONTENTS.
- 4INTRODUCTION. OUR PROBLEM DEFINED BY ITS RELATIONS TO LOGIC, PSYCHOLOGY AND MATHEMATICS.
- 5FOOTNOTES:
- 6CHAPTER I. A SHORT HISTORY OF METAGEOMETRY.
- 7First Period.
- 8Second Period.
- 9Third Period.
- 10FOOTNOTES:
- 11CHAPTER II. CRITICAL ACCOUNT OF SOME PREVIOUS PHILOSOPHICAL THEORIES OF GEOMETRY.
- 12Kant.
- 13Riemann.
- 14Helmholtz.
- 15Erdmann.
- 16Lotze.
- 17Delbœuf.
- 18FOOTNOTES:
+ 10 more. The full contents open with the book.
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