aberration of light, 315, 496
Abraham, 311, 490-1, 505-7, 509, 515-6
absolute motion, 107
orientation, 83
space, 85, 93, 246, 257, 353
acceleration, 94, 98, 486, 509
accidental constant, 112
errors, 171, 402
accommodation of the eyes, 67-8
action at a distance, 137
addition, 34
aim of mathematics, 280
alchemists, 11
Alfaro, 543
algebra, 379
analogy, 220
analysis, 218-9, 279
analysis situs, 53, 239, 381
analyst, 210, 221
ancestral experience, 91
Andrade, 93, 104, 228
Andrews, 153
angle sum of triangle, 58
Anglo-Saxons, 3
antinomies, 449, 457, 477
Arago, 540-1
Aristotle, 205, 292, 460
arithmetic, 34, 379, 441, 463
associativity, 35
assumptions, 451, 453
astronomy, 81, 289, 315, 512
Atwood, 446
axiom, 60, 63, 65, 215
Bacon, 128
Bartholi, 503
Bassot, 542
beauty, 349, 368
Becquerel, 312
Beltrami, 56, 58
Bergson, 321
Berkeley, 4
Berthaut, 542
Bertrand, 156, 190, 211, 395
Betti, 239
Biot, 540
bodies, solid, 72
Boltzmann, 304
Bolyai, 56, 201, 203
Borel, 482
Bouguer, 537, 542
Bourgeois, 543
Boutroux, 390, 464
Bradley, 496
Briot, 298
Brownian movement, 152, 410
Bucherer, 507
Burali-Forti, 457-9, 477, 481-2
Caen, 387-8
Calinon, 228
canal rays, 491-2
canals, semicircular, 276
Cantor, 11, 448-9, 457, 459, 477
Cantorism, 381, 382, 480, 484
capillarity, 298
Carlyle, 128
Carnot's principle, 143, 151, 300, 303-5, 399
Cassini, 537
cathode rays, 487-92
cells, 217
center of gravity, 103
central forces, 297
Chaldeans, 290
chance, 395, 408
change of position, 70
state, 70
chemistry of the stars, 295
circle-squarers, 11
Clairaut, 537-8
Clausius, 119, 123, 143
color sensation, 252
Columbus, 228
commutativity, 35-6

compensation, 72
complete induction, 40
Comte, 294
Condorcet, 411
contingence, 340
continuity, 173
continuum, 43
amorphous, 238
mathematical, 46
physical, 46, 240
tridimensional, 240
convention, 50, 93, 106, 125, 173, 208, 317, 440, 451
convergence, 67-8
coordinates, 244
Copernicus, 109, 291, 354
Coulomb, 143, 516
Couturat, 450, 453, 456, 460, 462-3, 467, 472-6
creation, mathematical, 383
creed, 1
CrÉmieu, 168-9, 490
crisis, 303
Crookes, 195, 488, 527-8
crude fact, 326, 330
Curie, 312-3, 318
current, 186
curvature, 58-9
curve, 213, 346
curves without tangents, 51
cut, 52, 256
cyclones, 353
d'Alembert, 538
Darwin, 518-9
De Cyon, 276, 427
Dedekind, 44-5
Defforges, 542
definitions, 430, 453
deformation, 73, 415
Delage, 277
Delambre, 539
Delbeuf, 414
Descartes, 127
determinism, 123, 340
dictionary, 59
didymium, 333
dilatation, 76
dimensions, 53, 68, 78, 241, 256, 426
direction, 69
Dirichlet, 213
dispersion, 141
displacement, 73, 77, 247, 256
distance, 59, 292
distributivity, 36
Du Bois-Reymond, 50
earth, rotation of, 326, 353
eclipse, 326
electricity, 174
electrified bodies, 117
electrodynamic attraction, 308
induction, 188
mass, 311
electrodynamics, 184, 282
electromagnetic theory of light, 301
electrons, 316, 492-4, 505-8, 510, 512-4
elephant, 217, 436
ellipse, 215
Emerson, 203
empiricism, 86, 271
Epimenides, 478-9
equation of Laplace, 283
ErdÉly, 203
errors, accidental, 171, 402
law of, 119
systematic, 171, 402
theory of, 402, 406
ether, 145, 351
ethics, 205
Euclid, 62, 86, 202-3, 213
Euclidean geometry, 65, 235-6, 337
Euclid's postulate, 83, 91, 124, 353, 443, 453, 468, 470-1
experience, 90-1
experiment, 127, 317, 336, 446
fact, crude, 326, 330
in the rough, 327
scientific, 326
facts, 362, 371
Fahrenheit, 238
Faraday, 150, 192
Faye, 536
Fechner, 46, 52
Fehr, 383
finite, 57

Fitzgerald, 415-6, 500-1, 505
Fizeau, 146, 149, 309, 498, 504
Flammarion, 400, 406-7
flattening of the earth, 353
force, 72, 98, 444
direction of, 445
-flow, 284
forces, central, 116
theory of gases, 141
Kirchhoff, 98-9, 103-5
Klein, 60, 211, 287
knowledge, 201
KÖnig, 144, 477
Kovalevski, 212, 286
Kronecker, 44
Lacombe, 543
La Condamine, 535, 537-8, 542-3
Lagrange, 98, 151, 179
Laisant, 383
Lallamand, 543
Langevin, 509
Laplace, 298, 398, 514-5, 518, 522, 538
Laplace's equation, 283, 287
Larmor, 145, 150
Lavoisier's principle, 301, 310, 312
law, 207, 291, 395
Leibnitz, 32, 450, 471
Le Roy, 28, 321-6, 332, 335, 337, 347-8, 354, 468
Lesage, 517-21
Liard, 440
Lie, 62-3, 212
light sensations, 252
theory of, 351
velocity of, 232, 312
Lindemann, 508
line, 203, 243
linkages, 144
Lippmann, 196
Lobachevski, 29, 56, 60, 62, 83, 86, 203
Lobachevski's space, 239
local time, 306-7, 499
logic, 214, 435, 448, 460-2, 464
logistic, 457, 472-4
logisticians, 472
Lorentz, 147, 149, 196-7, 306, 308, 311, 315, 415-6, 492, 498-502, 504-9, 512, 514-6, 521
Lotze, 264
luck, 399
Lumen, 407-8
MacCullagh, 150
Mach, 375
Mach-Delage, 276
magnetism, 149
magnitude, 49
Mariotte's law, 120, 132, 157, 342, 524
Maros, 203
mass, 98, 312, 446, 486, 489, 494, 515
mathematical analysis, 218
continuum, 46
creation, 383
induction, 40, 220
physics, 136, 297, 319
mathematics, 369, 448
matter, 492
Maupertuis, 535, 537-8
Maurain, 543
Maxwell, 140, 152, 175, 177, 181, 193, 282-3, 298, 301, 304-5, 351, 503, 524-5
Maxwell-Bartholi, 309, 503-4, 519, 521
Mayer, 119, 123, 300, 312, 318
measurement, 49
MÉchain, 539-40
mechanical explanation, 177
mass, 312
mechanics, 92, 444, 486, 496, 512
anthropomorphic, 103
celestial, 279
statistical, 304
MÉray, 211
metaphysician, 221
meteorology, 398
mice, 277
Michelson, 306, 309, 311, 316, 498, 500-1
milky way, 523-30
Mill, Stuart, 60-1, 453-4
Monist, 4, 89, 464
moons of Jupiter, 233
Morley, 309
motion of liquids, 283
of moon, 28
of planets, 341
relative, 107, 487
without deformation, 236
multiplication, 36
muscular sensations, 69
Nagaoka, 317
nature, 127
navigation, 289
neodymium, 333
neomonics, 283
Neumann, 181
Newton, 85, 96, 98, 109, 153, 291, 370, 486, 516, 536, 538
Newton's argument, 108, 334, 343
law, 111, 118, 132, 136, 149, 157, 233, 282, 292, 512, 514-5, 518, 525
principle, 146, 300, 308-9, 312
no-class theory, 478
nominalism, 28, 125, 321, 333, 335
non-Euclidean geometry, 55, 59, 388
language, 127
space, 55, 235, 237
straight, 236, 470
world, 75
number, 31
big, 88
imaginary, 283
incommensurable, 44
transfinite, 448-9
whole, 44, 469
objectivity, 209, 347, 349, 408

optical illusions, 202
optics, 174, 496
orbit of Saturn, 341
order, 385
orientation, 83
osmotic, 141
Padoa, 463
PanthÉon, 414
parallax, 470
parallels, 56, 443
Paris time, 233
parry, 419-22, 427
partition, 45
pasigraphy, 456-7
Pasteur, 128
Peano, 450, 456-9, 463, 472
Pender, 490
pendulum, 224
Perrier, 541
Perrin, 195
phosphorus, 333, 468, 470-1
physical continuum, 46
physics, 127, 140, 144, 279, 297
physics of central forces, 297
of the principles, 299
Pieri, 11, 203
Plato, 292
PoincarÉ, 473
point, 89, 244
Poncelet, 215
postulates, 382
potential energy, 116
praseodymium, 333
principle, 125, 299
Carnot's, 143, 151, 300, 303-5, 399
Clausius', 119, 123, 143
Hamilton's, 115
Lavoisier's, 300, 310
Mayer's, 119, 121, 123, 300, 312, 318
Newton's, 146, 300, 201
verification, 33
Virchow, 21

visual impressions, 252
space, 67, 252
Volga, 203
Voltaire, 537-8
Weber, 117, 515-6
Weierstrass, 11, 212, 432
Whitehead, 472,

481-2
whole numbers, 44
Wiechert, 145, 488
x-rays, 152, 511, 520
Zeeman effect, 152, 196, 317, 494
Zeno, 382
Zermelo, 477, 482-3
zigzag theory, 478
zodiac, 398, 404