An essay on the foundations of geometry
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English
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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.
Delbœuf.
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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