The Foundations of Science

by Henri Poincaré

Year
1913
Field
Mathematics
Translator
George Bruce Halsted
Licence
Public domain (Project Gutenberg, US)
Source
gutenberg
Length
about 197,852 words in 165 sections

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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

  1. Part 1 · 28 words
  2. SCIENCE AND EDUCATION · 13 words
  3. EDITED BY J. MCKEEN CATTELL · VOLUME I--THE FOUNDATIONS OF SCIENCE · UNDER THE SAME EDITORSHIP · 189 words
  4. THE SCIENCE PRESS · NEW YORK GARRISON, N. Y. · THE FOUNDATIONS OF SCIENCE · SCIENCE AND HYPOTHESIS THE VALUE OF SCIENCE SCIENCE AND METHOD · 3 words
  5. AUTHORIZED TRANSLATION BY GEORGE BRUCE HALSTED · 14 words
  6. THE SCIENCE PRESS NEW YORK AND GARRISON, N. Y. 1913 · 6 words
  7. PRESS OF THE NEW ERA PRINTING COMPANY LANCASTER, PA. · CONTENTS · 10 words
  8. SCIENCE AND HYPOTHESIS · Introduction by Royce 9 Introduction 27 · PART I. _Number and Magnitude_ · 71 words
  9. PART II. _Space_ · 128 words
  10. PART III. _Force_ · 55 words
  11. PART IV. _Nature_ · 159 words
  12. THE VALUE OF SCIENCE · 29 words
  13. PART I. _The Mathematical Sciences_ · CHAPTER I.--Intuition and Logic in Mathematics 210 · CHAPTER II.--The Measure of Time 223 · 65 words
  14. PART II. _The Physical Sciences_ · CHAPTER V.--Analysis and Physics 279 · CHAPTER VI.--Astronomy 289 · 81 words
  15. PART III. _The Objective Value of Science_ · 54 words
  16. 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
  17. GEORGE BRUCE HALSTED. · 5 words
  18. SCIENCE AND HYPOTHESIS · 5 words
  19. AUTHOR'S PREFACE TO THE TRANSLATION · 1,728 words
  20. INTRODUCTION · BY PROFESSOR JOSIAH ROYCE · HARVARD UNIVERSITY · 108 words
  21. I · 1,227 words
  22. II · 1,031 words
  23. III · 1,342 words
  24. IV · 1,804 words
  25. V · 771 words
  26. SCIENCE AND HYPOTHESIS · INTRODUCTION · 1,285 words
  27. PART I · NUMBER AND MAGNITUDE · CHAPTER I · ON THE NATURE OF MATHEMATICAL REASONING · I · 511 words
  28. II · 346 words
  29. III · 1,050 words
  30. IV · 223 words
  31. V · 586 words
  32. VI · 482 words
  33. VII · 754 words
  34. CHAPTER II · MATHEMATICAL MAGNITUDE AND EXPERIENCE · 4,153 words
  35. PART II · SPACE · CHAPTER III · THE NON-EUCLIDEAN GEOMETRIES · 3,728 words
  36. CHAPTER IV · SPACE AND GEOMETRY · 5,023 words
  37. CHAPTER V · EXPERIENCE AND GEOMETRY · 3,029 words
  38. SUPPLEMENT · 914 words
  39. ANCESTRAL EXPERIENCE · 103 words
  40. PART III · FORCE · CHAPTER VI · THE CLASSIC MECHANICS · 5,543 words
  41. CHAPTER VII · RELATIVE MOTION AND ABSOLUTE MOTION · 2,810 words
  42. CHAPTER VIII · ENERGY AND THERMODYNAMICS · 3,233 words
  43. GENERAL CONCLUSIONS ON PART THIRD · 842 words
  44. PART IV · NATURE · CHAPTER IX · HYPOTHESES IN PHYSICS · 4,900 words
  45. CHAPTER X · THE THEORIES OF MODERN PHYSICS · 5,517 words
  46. CHAPTER XI · THE CALCULUS OF PROBABILITIES · 7,180 words
  47. CHAPTER XII · OPTICS AND ELECTRICITY · 3,344 words
  48. CHAPTER XIII · ELECTRODYNAMICS · 4,928 words
  49. THE VALUE OF SCIENCE · 5 words
  50. TRANSLATOR'S INTRODUCTION · 1,014 words
  51. GEORGE BRUCE HALSTED. · INTRODUCTION · 1,748 words
  52. PART I · THE MATHEMATICAL SCIENCES · CHAPTER I · INTUITION AND LOGIC IN MATHEMATICS · I · 960 words
  53. II · 736 words
  54. III · 578 words
  55. IV · 509 words
  56. V · 814 words
  57. VI · 980 words
  58. CHAPTER II · THE MEASURE OF TIME · I · 300 words
  59. II · 204 words
  60. III · 375 words
  61. IV · 397 words
  62. V · 591 words
  63. VI · 205 words
  64. VII · 270 words
  65. VIII · 118 words
  66. IX · 266 words
  67. X · 401 words
  68. XI · 324 words
  69. XII · 669 words
  70. XIII · 181 words
  71. CHAPTER III · THE NOTION OF SPACE · 7,981 words
  72. CHAPTER IV · SPACE AND ITS THREE DIMENSIONS · 9,250 words
  73. PART II · THE PHYSICAL SCIENCES · CHAPTER V · ANALYSIS AND PHYSICS · I · 547 words
  74. II · 1,312 words
  75. III · 977 words
  76. IV · 618 words
  77. CHAPTER VI · ASTRONOMY · 2,766 words
  78. CHAPTER VII · THE HISTORY OF MATHEMATICAL PHYSICS · 1,992 words
  79. CHAPTER VIII · THE PRESENT CRISIS OF MATHEMATICAL PHYSICS · 4,147 words
  80. CHAPTER IX · THE FUTURE OF MATHEMATICAL PHYSICS · 2,340 words
  81. PART III · THE OBJECTIVE VALUE OF SCIENCE · CHAPTER X · 7,444 words
  82. CHAPTER XI · SCIENCE AND REALITY · 6,166 words
  83. SCIENCE AND METHOD · 5 words
  84. INTRODUCTION · 884 words
  85. BOOK I · SCIENCE AND THE SCIENTIST · CHAPTER I · THE CHOICE OF FACTS · 2,580 words
  86. CHAPTER II · THE FUTURE OF MATHEMATICS · 4,008 words
  87. ARITHMETIC · 309 words
  88. ALGEBRA · 110 words
  89. GEOMETRY · 608 words
  90. CANTORISM · 246 words
  91. THE INVESTIGATION OF THE POSTULATES · 143 words
  92. CHAPTER III · MATHEMATICAL CREATION · 4,643 words
  93. CHAPTER IV · CHANCE · I · 772 words
  94. II · 900 words
  95. III · 390 words
  96. IV · 843 words
  97. V · 393 words
  98. VI · 1,252 words
  99. VII · 763 words
  100. VIII · 703 words
  101. IX · 547 words
  102. X · 476 words
  103. BOOK II · MATHEMATICAL REASONING · CHAPTER I · THE RELATIVITY OF SPACE · I · 2,014 words
  104. II · 1,189 words
  105. III · 1,300 words
  106. IV · 1,001 words
  107. V · 530 words
  108. VI · 495 words
  109. CHAPTER II · MATHEMATICAL DEFINITIONS AND TEACHING · 4,286 words
  110. ARITHMETIC · 479 words
  111. GEOMETRY · 625 words
  112. MECHANICS · 1,223 words
  113. CHAPTER III · MATHEMATICS AND LOGIC · INTRODUCTION · 712 words
  114. I · 178 words
  115. II · 687 words
  116. III · 192 words
  117. IV · DEFINITIONS AND ASSUMPTIONS · 735 words
  118. V · 426 words
  119. VI · 207 words
  120. VII · PASIGRAPHY · 752 words
  121. VIII · 205 words
  122. CHAPTER IV · THE NEW LOGICS · I · 338 words
  123. II · 235 words
  124. III · 302 words
  125. IV · 148 words
  126. V · 367 words
  127. VI · 475 words
  128. VII · 278 words
  129. VIII · 155 words
  130. IX · 84 words
  131. X · 252 words
  132. XI · 886 words
  133. XII · 455 words
  134. XIII · 100 words
  135. CHAPTER V · THE LATEST EFFORTS OF THE LOGISTICIANS · I · 79 words
  136. II · 666 words
  137. III · 687 words
  138. IV · 474 words
  139. V · 501 words
  140. VI · 640 words
  141. VII · 236 words
  142. VIII · 272 words
  143. IX · 119 words
  144. X · 231 words
  145. XI · 818 words
  146. BOOK III · THE NEW MECHANICS · CHAPTER I · MECHANICS AND RADIUM · I · 1,136 words
  147. II · 993 words
  148. III · 293 words
  149. IV · 635 words
  150. V · 426 words
  151. CHAPTER II · MECHANICS AND OPTICS · I · 1,018 words
  152. II · 1,352 words
  153. III · 1,059 words
  154. IV · 553 words
  155. V · 450 words
  156. VI · 659 words
  157. VII · 539 words
  158. CHAPTER III · THE NEW MECHANICS AND ASTRONOMY · I · 1,102 words
  159. II · 789 words
  160. III · 1,819 words
  161. IV · 327 words
  162. BOOK IV · ASTRONOMIC SCIENCE · CHAPTER I · THE MILKY WAY AND THE THEORY OF GASES · 4,623 words
  163. CHAPTER II · FRENCH GEODESY · 3,208 words
  164. GENERAL CONCLUSIONS · 1,045 words
  165. INDEX · 1,816 words
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