An Essay on the Foundations of Geometry
by Bertrand Russell
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Language: English
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About this eBook
- Author
- Russell, Bertrand, 1872-1970
- Title
- An essay on the foundations of geometry
- Credits
- Produced by Adrian Mastronardi, John Campbell and the Online Distributed Proofreading Team at www.pgdp.net (This file was produced from images generously made available by The Internet Archive)
- Language
- English
- LoC Class
- QA: Science: Mathematics
- Subject
- Geometry -- Foundations
- Category
- Text
- Project Gutenberg
- eBook-No. 52091
- Release Date
- May 17, 2016
- Copyright
- Public domain in the USA.
Contents
- 1.AN ESSAY ON THE FOUNDATIONS OF GEOMETRY — PREFACE. — TABLE OF CONTENTS.
- 2.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.
- 3.Kant.
- 4.Riemann.
- 5.Helmholtz.
- 6.Erdmann.
- 7.Lotze.
- 8.Delbœuf. — FOOTNOTES: — CHAPTER III. — Section A. THE AXIOMS OF PROJECTIVE GEOMETRY.
- 9.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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