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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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