The Foundations of Science
- Year
- 1913
- Field
- Mathematics
- Translator
- George Bruce Halsted
- Licence
- Public domain (Project Gutenberg, US)
- Source
- gutenberg
- Length
- about 197,852 words in 165 sections
Opening preview
The first paragraphs of "EDITED BY J. MCKEEN CATTELL · VOLUME I--THE FOUNDATIONS OF SCIENCE · UNDER THE SAME EDITORSHIP". Read the full section
SCIENCE AND EDUCATION. A series of volumes for the promotion of scientific research and educational progress.
Volume I. The Foundations of Science. By H. POINCARÉ. Containing the authorised English translation by George Bruce Halsted of "Science and Hypothesis," "The Value of Science," and "Science and Method."
Volume II. Medical Research and Education. By Richard Mills Pearce, William H. Welch, W. H. Howell, Franklin P. Mall, Lewellys F. Barker, Charles S. Minot, W. B. Cannon, W. T. Councilman Theobald Smith, G. N. Stewart, C. M. Jackson, E. P. Lyon, James B. Herrick, John M. Dodson, C. R. Bardeen, W. Ophuls, S. J. Meltzer, James Ewing, W. W. Keen, Henry H. Donaldson, Christian A. Herter, and Henry P. Bowditch.
Contents
- Part 1 · 28 words
- SCIENCE AND EDUCATION · 13 words
- EDITED BY J. MCKEEN CATTELL · VOLUME I--THE FOUNDATIONS OF SCIENCE · UNDER THE SAME EDITORSHIP · 189 words
- THE SCIENCE PRESS · NEW YORK GARRISON, N. Y. · THE FOUNDATIONS OF SCIENCE · SCIENCE AND HYPOTHESIS THE VALUE OF SCIENCE SCIENCE AND METHOD · 3 words
- AUTHORIZED TRANSLATION BY GEORGE BRUCE HALSTED · 14 words
- THE SCIENCE PRESS NEW YORK AND GARRISON, N. Y. 1913 · 6 words
- PRESS OF THE NEW ERA PRINTING COMPANY LANCASTER, PA. · CONTENTS · 10 words
- SCIENCE AND HYPOTHESIS · Introduction by Royce 9 Introduction 27 · PART I. _Number and Magnitude_ · 71 words
- PART II. _Space_ · 128 words
- PART III. _Force_ · 55 words
- PART IV. _Nature_ · 159 words
- THE VALUE OF SCIENCE · 29 words
- PART I. _The Mathematical Sciences_ · CHAPTER I.--Intuition and Logic in Mathematics 210 · CHAPTER II.--The Measure of Time 223 · 65 words
- PART II. _The Physical Sciences_ · CHAPTER V.--Analysis and Physics 279 · CHAPTER VI.--Astronomy 289 · 81 words
- PART III. _The Objective Value of Science_ · 54 words
- 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 · 806 words
- GEORGE BRUCE HALSTED. · 5 words
- SCIENCE AND HYPOTHESIS · 5 words
- AUTHOR'S PREFACE TO THE TRANSLATION · 1,728 words
- INTRODUCTION · BY PROFESSOR JOSIAH ROYCE · HARVARD UNIVERSITY · 108 words
- I · 1,227 words
- II · 1,031 words
- III · 1,342 words
- IV · 1,804 words
- V · 771 words
- SCIENCE AND HYPOTHESIS · INTRODUCTION · 1,285 words
- PART I · NUMBER AND MAGNITUDE · CHAPTER I · ON THE NATURE OF MATHEMATICAL REASONING · I · 511 words
- II · 346 words
- III · 1,050 words
- IV · 223 words
- V · 586 words
- VI · 482 words
- VII · 754 words
- CHAPTER II · MATHEMATICAL MAGNITUDE AND EXPERIENCE · 4,153 words
- PART II · SPACE · CHAPTER III · THE NON-EUCLIDEAN GEOMETRIES · 3,728 words
- CHAPTER IV · SPACE AND GEOMETRY · 5,023 words
- CHAPTER V · EXPERIENCE AND GEOMETRY · 3,029 words
- SUPPLEMENT · 914 words
- ANCESTRAL EXPERIENCE · 103 words
- PART III · FORCE · CHAPTER VI · THE CLASSIC MECHANICS · 5,543 words
- CHAPTER VII · RELATIVE MOTION AND ABSOLUTE MOTION · 2,810 words
- CHAPTER VIII · ENERGY AND THERMODYNAMICS · 3,233 words
- GENERAL CONCLUSIONS ON PART THIRD · 842 words
- PART IV · NATURE · CHAPTER IX · HYPOTHESES IN PHYSICS · 4,900 words
- CHAPTER X · THE THEORIES OF MODERN PHYSICS · 5,517 words
- CHAPTER XI · THE CALCULUS OF PROBABILITIES · 7,180 words
- CHAPTER XII · OPTICS AND ELECTRICITY · 3,344 words
- CHAPTER XIII · ELECTRODYNAMICS · 4,928 words
- THE VALUE OF SCIENCE · 5 words
- TRANSLATOR'S INTRODUCTION · 1,014 words
- GEORGE BRUCE HALSTED. · INTRODUCTION · 1,748 words
- PART I · THE MATHEMATICAL SCIENCES · CHAPTER I · INTUITION AND LOGIC IN MATHEMATICS · I · 960 words
- II · 736 words
- III · 578 words
- IV · 509 words
- V · 814 words
- VI · 980 words
- CHAPTER II · THE MEASURE OF TIME · I · 300 words
- II · 204 words
- III · 375 words
- IV · 397 words
- V · 591 words
- VI · 205 words
- VII · 270 words
- VIII · 118 words
- IX · 266 words
- X · 401 words
- XI · 324 words
- XII · 669 words
- XIII · 181 words
- CHAPTER III · THE NOTION OF SPACE · 7,981 words
- CHAPTER IV · SPACE AND ITS THREE DIMENSIONS · 9,250 words
- PART II · THE PHYSICAL SCIENCES · CHAPTER V · ANALYSIS AND PHYSICS · I · 547 words
- II · 1,312 words
- III · 977 words
- IV · 618 words
- CHAPTER VI · ASTRONOMY · 2,766 words
- CHAPTER VII · THE HISTORY OF MATHEMATICAL PHYSICS · 1,992 words
- CHAPTER VIII · THE PRESENT CRISIS OF MATHEMATICAL PHYSICS · 4,147 words
- CHAPTER IX · THE FUTURE OF MATHEMATICAL PHYSICS · 2,340 words
- PART III · THE OBJECTIVE VALUE OF SCIENCE · CHAPTER X · 7,444 words
- CHAPTER XI · SCIENCE AND REALITY · 6,166 words
- SCIENCE AND METHOD · 5 words
- INTRODUCTION · 884 words
- BOOK I · SCIENCE AND THE SCIENTIST · CHAPTER I · THE CHOICE OF FACTS · 2,580 words
- CHAPTER II · THE FUTURE OF MATHEMATICS · 4,008 words
- ARITHMETIC · 309 words
- ALGEBRA · 110 words
- GEOMETRY · 608 words
- CANTORISM · 246 words
- THE INVESTIGATION OF THE POSTULATES · 143 words
- CHAPTER III · MATHEMATICAL CREATION · 4,643 words
- CHAPTER IV · CHANCE · I · 772 words
- II · 900 words
- III · 390 words
- IV · 843 words
- V · 393 words
- VI · 1,252 words
- VII · 763 words
- VIII · 703 words
- IX · 547 words
- X · 476 words
- BOOK II · MATHEMATICAL REASONING · CHAPTER I · THE RELATIVITY OF SPACE · I · 2,014 words
- II · 1,189 words
- III · 1,300 words
- IV · 1,001 words
- V · 530 words
- VI · 495 words
- CHAPTER II · MATHEMATICAL DEFINITIONS AND TEACHING · 4,286 words
- ARITHMETIC · 479 words
- GEOMETRY · 625 words
- MECHANICS · 1,223 words
- CHAPTER III · MATHEMATICS AND LOGIC · INTRODUCTION · 712 words
- I · 178 words
- II · 687 words
- III · 192 words
- IV · DEFINITIONS AND ASSUMPTIONS · 735 words
- V · 426 words
- VI · 207 words
- VII · PASIGRAPHY · 752 words
- VIII · 205 words
- CHAPTER IV · THE NEW LOGICS · I · 338 words
- II · 235 words
- III · 302 words
- IV · 148 words
- V · 367 words
- VI · 475 words
- VII · 278 words
- VIII · 155 words
- IX · 84 words
- X · 252 words
- XI · 886 words
- XII · 455 words
- XIII · 100 words
- CHAPTER V · THE LATEST EFFORTS OF THE LOGISTICIANS · I · 79 words
- II · 666 words
- III · 687 words
- IV · 474 words
- V · 501 words
- VI · 640 words
- VII · 236 words
- VIII · 272 words
- IX · 119 words
- X · 231 words
- XI · 818 words
- BOOK III · THE NEW MECHANICS · CHAPTER I · MECHANICS AND RADIUM · I · 1,136 words
- II · 993 words
- III · 293 words
- IV · 635 words
- V · 426 words
- CHAPTER II · MECHANICS AND OPTICS · I · 1,018 words
- II · 1,352 words
- III · 1,059 words
- IV · 553 words
- V · 450 words
- VI · 659 words
- VII · 539 words
- CHAPTER III · THE NEW MECHANICS AND ASTRONOMY · I · 1,102 words
- II · 789 words
- III · 1,819 words
- IV · 327 words
- BOOK IV · ASTRONOMIC SCIENCE · CHAPTER I · THE MILKY WAY AND THE THEORY OF GASES · 4,623 words
- CHAPTER II · FRENCH GEODESY · 3,208 words
- GENERAL CONCLUSIONS · 1,045 words
- INDEX · 1,816 words