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Table of Contents

Оглавление

INTRODUCTION. OUR PROBLEM DEFINED BY ITS RELATIONS TO LOGIC, PSYCHOLOGY AND MATHEMATICS.

CHAPTER I. A SHORT HISTORY OF METAGEOMETRY.

First Period.

Second Period.

Third Period.

CHAPTER II. CRITICAL ACCOUNT OF SOME PREVIOUS PHILOSOPHICAL THEORIES OF GEOMETRY.

Kant.

Riemann.

Helmholtz.

Erdmann.

Lotze.

Delbœuf.

CHAPTER III.

Section A. THE AXIOMS OF PROJECTIVE GEOMETRY.

Section B. THE AXIOMS OF METRICAL GEOMETRY.

CHAPTER IV. PHILOSOPHICAL CONSEQUENCES.

An essay on the foundations of geometry

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