viii
CONTENTS
| The Principle of Relativity | 305 |
| Newton’s Principle | 308 |
| Lavoisier’s Principle | 310 |
| Mayer’s Principle | 312 |
| Chapter IX.—The Future of Mathematical Physies | 314 |
| The Principles and Experiment | 314 |
| The Role of the Analyst | 314 |
| Aberration and Astronomy | 315 |
| Electrons and Spectra | 316 |
| Conventions preceding Experiment | 317 |
| Future Mathematical Physics | 319 |
| Part III. The Objective Value of Science | |
| Chapter X.—Is Science Artificial? | 321 |
| The Philosophy of LeRoy | 321 |
| Science, Rule of Action | 323 |
| The Crude Fact and the Scientific Fact | 325 |
| Nominalism and the Universal Invariant | 333 |
| Chapter XI.—Science and Reality | 340 |
| Contingence and Determinism | 340 |
| Objectivity of Science | 347 |
| The Rotation of the Earth | 353 |
| Science for Its Own Sake | 354 |
| SCIENCE AND METHOD | |
| Introduction | 359 |
| Book I. Science and the Scientist | |
| Chapter I.—The Choice of Facts | 362 |
| Chapter II.—The Future of Mathematics | 369 |
| Chapter III.—Mathematical Creation | 383 |
| Chapter IV.—Chance | 395 |
| Book II. Mathematical Reasoning | |
| Chapter I.—The Relativity of Space | 413 |
| Chapter II.—Mathematical Definitions and Teaching | 430 |
| Chapter III.—Mathematics and Logic | 448 |
| Chapter IV.—The New Logics | 460 |
| Chapter V.—The Latest Efforts of the Logisticians | 472 |
| Book III. The New Mechanics | |
| Chapter I.—Mechanics and Radium | 486 |
| Chapter II.—Mechanics and Optics | 496 |
| Chapter III.—The New Mechanics and Astronomy | 515 |
| Book IV. Astronomic Science | |
| Chapter I.—The Milky Way and the Theory of Gases | 522 |
| Chapter I.—French Geodesy | 535 |
| General Conclusions | 544 |
| Index | 547 |
