CONTENTS
vii
| Chapter XIII.—Electrodynamics | 184 |
| Ampére’s Theory | 184 |
| Closed Currents | 185 |
| Action of a Closed Current on a Portion of Current | 186 |
| Continuous Rotations | 187 |
| Mutual Action of Two Open Currents | 189 |
| Induction | 190 |
| Theory of Helmholtz | 191 |
| Difficulties Raised by these Theories | 193 |
| Maxwell’s Theory | 193 |
| Rowland’s Experiment | 194 |
| The Theory of Lorentz | 196 |
| THE VALUE OF SCIENCE | |
| Translator’s Introduction | 201 |
| Does the Scientist Create Science? | 201 |
| The Mind Dispelling Optical Illusions | 202 |
| Euclid not Necessary | 202 |
| Without Hypotheses, no Science | 203 |
| What Outcome? | 203 |
| Introduction | 205 |
| Part I. The Mathematical Sciences | |
| Chapter I.—Intuition and Logie in Mathematics | 210 |
| Chapter II.—The Measure of Time | 223 |
| Chapter III.—The Notion of Space | 235 |
| Qualitative, Geometry | 238 |
| The Physical Continuum of Several Dimensions | 240 |
| The Notion of Point | 244 |
| The Notion of Displacement | 247 |
| Visual Space | 252 |
| Chapter IV.—Space and its Three Dimensions | 256 |
| The Group of Displacements | 256 |
| Identity of Two Points | 259 |
| Tactile Space | 264 |
| Identity of the Different Spaces | 268 |
| Space and Empiricism | 271 |
| Rôle of the Semicircular Canals | 276 |
| Part II. The Physical Sciences | |
| Chapter V.—Analysis and Physics | 279 |
| Chapter VI.—Astronomy | 289 |
| Chapter VII.—The History of Mathematical Physics | 297 |
| The Physics of Central Forces | 297 |
| The Physics of the Principles | 299 |
| Chapter VIII.—The Present Crisis in Physics | 303 |
| The New Crisis | 303 |
| Carnot’s Principle | 303 |
