Inductiveness, 190, 195 ff. Inference, 44, 54. Infinite, vi, 64, 133, 149. historically considered, 155 ff. �true,� 179, 180. positive theory of, 185 ff. Infinitesimals, 135. Instants, 116 ff., 129, 151, 216. defined, 118. Instinct v. Reason, 20 ff. Intellect, 22 ff. Intelligence, how displayed by friends, 93. inadequacy of display, 96. Interpretation, 144. James, 4, 10, 13. Jourdain, 165 n. Jowett, 167. Judgment, 58. Kant, 3, 112, 116, 155 ff., 200. Knowledge about, 144. Language, bad, 82, 135. Laplace, 12. Laws of nature, 218 ff. Leibniz, 13, 40, 87, 186, 191. Logic, 201. analytic not constructive, 8. Aristotelian, 5. and fact, 53. inductive, 34, 222. mathematical, vi, 40 ff. mystical, 46. and philosophy, 8, 33 ff., 239. Logical constants, 208, 213. Mach, 123, 224. Macran, 39 n. Mathematics, 40, 57. Matter, 75, 101 ff. permanence of, 102 ff. Measurement, 164. Memory, 230, 234, 236. Method, deductive, 5. logical-analytic, v, 65, 211, 236 ff. Milhaud, 168 n., 169 n. Mill, 34, 200. Montaigne, 28. Motion, 130, 216. continuous, 133, 136. mathematical theory of, 133. perception of, 137 ff. Zeno's arguments on, 168 ff. Mysticism, 19, 46, 63, 95. Newton, 30, 146. Nietzsche, 10, 11. No�l, 169. Number, cardinal, 131, 186 ff. defined, 199 ff. finite, 160, 190 ff. inductive, 197. infinite, 178, 180, 188 ff., 197. reflexive, 190 ff. Occam, 107, 146. One and many, 167, 170. Order, 131. Parmenides, 63, 165 ff., 178. Past and future, 224, 234 ff. Peano, 40. Perspectives, 88 ff., 111. Philoponus, 171 n. Philosophy and ethics, 26 ff. and mathematics, 185 ff. province of, 17, 26, 185, 236. scientific, 11, 16, 18, 29, 236 ff. Physics, 101 ff., 147, 239, 242. descriptive, 224. verifiability of, 81, 110. Place, 86, 90. at and from, 92. Plato, 4, 19, 27, 46, 63, 165 n., 166, 167. Poincar�, 123, 141. Points, 113 ff., 129, 158. definition of, vi, 115. Pragmatism, 11. Prantl, 174. Predictability, 229 ff. Premisses, 211. Probability, 36. Propositions, 52. atomic, 52. general, 55. molecular, 54. Pythagoras, 19, 160 ff., 237. Race-course, Zeno's argument of, 171 ff. Realism, new, 6. Reflexiveness, 190 ff. Relations, 45. asymmetrical, 47. Bradley's reasons against, 6. external, 150. intransitive, 48. multiple, 50. one-one, 203. reality of, 49. symmetrical, 47, 124. transitive, 48, 124. Relativity, 103, 242. Repetitions, 230 ff. Rest, 136. Ritter and Preller, 161 n. Robertson, D. S., 160 n. Rousseau, 20. Royce, 50. Santayana, 46. Scepticism, 66, 67. Seeing double, 86. Self, 73. Sensation, 25, 75, 123. and stimulus, 139. Sense-data, 56, 63, 67, 75, 110, 141, 143, 213. and physics, v, 64, 81, 97, 101 ff., 140. infinitely numerous? 149, 159. Sense-perception, 53. Series, 49. compact, 132, 142, 178. continuous, 131, 132. Sigwart, 187. Simplicius, 170 n. Simultaneity, 116. Space, 73, 88, 103, 112 ff., 130. absolute and relative, 146, 159. antinomies of, 155 ff. perception of, 68. of perspectives, 88 ff. private, 89, 90. of touch and sight, 78, 113. Spencer, 4, 12, 236.