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 512 BOOK IV. _Astronomic Science_ CHAPTER I.--The Milky Way and the Theory of Gases 523 CHAPTER II.--French Geodesy 535 General Conclusions 544 Index 547 HENRI POINCARÉ SIR GEORGE DARWIN, worthy son of an immortal father, said, referring to what Poincaré was to him and to his work: "He must be regarded as the presiding genius--or, shall I say, my patron saint?"