Absolute, 6, 39.

Abstraction, principle of, 42, 124 ff.

Achilles, Zeno's argument of, 173.

Acquaintance, 25, 144.

Activity, 224 ff.

Allman, 161 n.

Analysis, 185, 204, 211, 241.
legitimacy of, 150.

Anaximander, 3.

Antinomies, Kant's, 155 ff.

Aquinas, 10.

Aristotle, 40, 160 n., 161 ff., 240.

Arrow, Zeno's argument of, 173.

Assertion, 52.

Atomism, logical, 4.

Atomists, 160.

Belief, 58.
primitive and derivative, 69 ff.

Bergson, 4, 11, 13, 20 ff., 137, 138, 150, 158, 165, 174, 178, 229 ff.

Berkeley, 63, 64, 102.

Bolzano, 165.

Boole, 40.

Bradley, 6, 39, 165.

Broad, 172 n.

Brochard, 169 n.

Burnet, 19 n., 160 n., 161 n., 170 n., 171 ff.

Calderon, 95.

Cantor, vi, vii, 155, 165, 190, 194, 199.

Categories, 38.

Causal laws, 109, 212 ff.
evidence for, 216 ff.
in psychology, 219.

Causation, 34 ff., 79, 212 ff.
law of, 221.
not a priori, 223, 232.

Cause, 220, 223.

Certainty, degrees of, 67, 68, 212.

Change,
demands analysis, 151.

Cinematograph, 148, 174.

Classes, 202.
non-existence of, 205 ff.

Classical tradition, 3 ff., 58.

Complexity, 145, 157 ff.

Compulsion, 229, 233 ff.

Congruence, 195.

Consecutiveness, 134.

Conservation, 105.

Constituents of facts, 51, 145.

Construction v. inference, iv.

Contemporaries, initial, 119, 120 n.

Continuity, 64, 129 ff., 141 ff., 155 ff.
of change, 106, 108, 130 ff.

Correlation of mental and physical, 233.

Counting, 164, 181, 187 ff., 203.

Couturat, 40 n.

Dante, 10.

Darwin, 4, 11, 23, 30.

Data, 65 ff., 211.
“hard” and “soft,” 70 ff.

Dates, 117.

Definition, 204.

Descartes, 5, 73, 238.

Descriptions, 201, 214.

Desire, 227, 235.

Determinism, 233.

Doubt, 237.

Dreams, 85, 93.

Duration, 146, 149.

Earlier and later, 116.

Effect, 220.

Eleatics, 19.

Empiricism, 37, 222.

Enclosure, 114 ff., 120.

Enumeration, 202.

Euclid, 160, 164.

Evellin, 169.

Evolutionism, 4, 11 ff.

Extension, 146, 149.

External world, knowledge of, 63 ff.

Fact, 51.
atomic, 52.

Finalism, 13.

Form, logical, 42 ff., 185, 208.

Fractions, 132, 179.

Free will, 213, 227 ff.

Frege, 5, 40, 199 ff.

Galileo, 4, 59, 192, 194, 239, 240.

Gaye, 169 n., 175, 177.

Geometry, 5.

Giles, 206 n.

Greater and less, 195.

Harvard, 4.

Hegel, 3, 37 ff., 46, 166.

“Here,” 73, 92.

Hereditary properties, 195.

Hippasos, 163, 237.

Hui Tzŭ, 206.

Hume, 217, 221.

Hypotheses in philosophy, 239.

Illusions, 85.

Incommensurables, 162 ff., 237.

Independence, 73, 74.
causal and logical, 74, 75.

Indiscernibility, 141, 148.

Indivisibles, 160.

Induction, 34, 222.
mathematical, 195 ff.

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.

Noël, 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.

Poincaré, 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.