Absolute,6,39.Abstraction, principle of,42,124ff.Achilles, Zeno's argument of,173.Acquaintance,25,144.Activity,224ff.Allman,161 n.Analysis,185,204,211,241.legitimacy of,150.Anaximander,3.Antinomies, Kant's,155ff.Aquinas,10.Aristotle,40,160 n.,161ff.,240.Arrow, Zeno's argument of,173.Assertion,52.Atomism, logical,4.Atomists,160.
Absolute,6,39.
Abstraction, principle of,42,124ff.
Achilles, Zeno's argument of,173.
Acquaintance,25,144.
Activity,224ff.
Allman,161 n.
Analysis,185,204,211,241.legitimacy of,150.
Anaximander,3.
Antinomies, Kant's,155ff.
Aquinas,10.
Aristotle,40,160 n.,161ff.,240.
Arrow, Zeno's argument of,173.
Assertion,52.
Atomism, logical,4.
Atomists,160.
Belief,58.primitive and derivative,69ff.Bergson,4,11,13,20ff.,137,138,150,158,165,174,178,229ff.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.,171ff.
Belief,58.primitive and derivative,69ff.
Bergson,4,11,13,20ff.,137,138,150,158,165,174,178,229ff.
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.,171ff.
Calderon,95.Cantor,vi,vii,155,165,190,194,199.Categories,38.Causal laws,109,212ff.evidence for,216ff.in psychology,219.Causation,34ff.,79,212ff.law of,221.nota priori,223,232.Cause,220,223.Certainty, degrees of,67,68,212.Change,demands analysis,151.Cinematograph,148,174.Classes,202.non-existence of,205ff.Classical tradition,3ff.,58.Complexity,145,157ff.Compulsion,229,233ff.Congruence,195.Consecutiveness,134.Conservation,105.Constituents of facts,51,145.Constructionv.inference, iv.Contemporaries, initial,119,120 n.Continuity,64,129ff.,141ff.,155ff.of change,106,108,130ff.Correlation of mental and physical,233.Counting,164,181,187ff.,203.Couturat,40 n.
Calderon,95.
Cantor,vi,vii,155,165,190,194,199.
Categories,38.
Causal laws,109,212ff.evidence for,216ff.in psychology,219.
Causation,34ff.,79,212ff.law of,221.nota priori,223,232.
Cause,220,223.
Certainty, degrees of,67,68,212.
Change,demands analysis,151.
Cinematograph,148,174.
Classes,202.non-existence of,205ff.
Classical tradition,3ff.,58.
Complexity,145,157ff.
Compulsion,229,233ff.
Congruence,195.
Consecutiveness,134.
Conservation,105.
Constituents of facts,51,145.
Constructionv.inference, iv.
Contemporaries, initial,119,120 n.
Continuity,64,129ff.,141ff.,155ff.of change,106,108,130ff.
Correlation of mental and physical,233.
Counting,164,181,187ff.,203.
Couturat,40 n.
Dante,10.Darwin,4,11,23,30.Data,65ff.,211.“hard” and “soft,”70ff.Dates,117.Definition,204.Descartes,5,73,238.Descriptions,201,214.Desire,227,235.Determinism,233.Doubt,237.Dreams,85,93.Duration,146,149.
Dante,10.
Darwin,4,11,23,30.
Data,65ff.,211.“hard” and “soft,”70ff.
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,114ff.,120.Enumeration,202.Euclid,160,164.Evellin,169.Evolutionism,4,11ff.Extension,146,149.External world, knowledge of,63ff.
Earlier and later,116.
Effect,220.
Eleatics,19.
Empiricism,37,222.
Enclosure,114ff.,120.
Enumeration,202.
Euclid,160,164.
Evellin,169.
Evolutionism,4,11ff.
Extension,146,149.
External world, knowledge of,63ff.
Fact,51.atomic,52.Finalism,13.Form, logical,42ff.,185,208.Fractions,132,179.Free will,213,227ff.Frege,5,40,199ff.
Fact,51.atomic,52.
Finalism,13.
Form, logical,42ff.,185,208.
Fractions,132,179.
Free will,213,227ff.
Frege,5,40,199ff.
Galileo,4,59,192,194,239,240.Gaye,169 n.,175,177.Geometry,5.Giles,206 n.Greater and less,195.
Galileo,4,59,192,194,239,240.
Gaye,169 n.,175,177.
Geometry,5.
Giles,206 n.
Greater and less,195.
Harvard,4.Hegel,3,37ff.,46,166.“Here,”73,92.Hereditary properties,195.Hippasos,163,237.Hui Tzŭ,206.Hume,217,221.Hypotheses in philosophy,239.
Harvard,4.
Hegel,3,37ff.,46,166.
“Here,”73,92.
Hereditary properties,195.
Hippasos,163,237.
Hui Tzŭ,206.
Hume,217,221.
Hypotheses in philosophy,239.
Illusions,85.Incommensurables,162ff.,237.Independence,73,74.causal and logical,74,75.Indiscernibility,141,148.Indivisibles,160.Induction,34,222.mathematical,195ff.Inductiveness,190,195ff.Inference,44,54.Infinite,vi,64,133,149.historically considered,155ff.“true,”179,180.positive theory of,185ff.Infinitesimals,135.Instants,116ff.,129,151,216.defined,118.Instinctv.Reason,20ff.Intellect,22ff.Intelligence, how displayed by friends,93.inadequacy of display,96.Interpretation,144.
Illusions,85.
Incommensurables,162ff.,237.
Independence,73,74.causal and logical,74,75.
Indiscernibility,141,148.
Indivisibles,160.
Induction,34,222.mathematical,195ff.
Inductiveness,190,195ff.
Inference,44,54.
Infinite,vi,64,133,149.historically considered,155ff.“true,”179,180.positive theory of,185ff.
Infinitesimals,135.
Instants,116ff.,129,151,216.defined,118.
Instinctv.Reason,20ff.
Intellect,22ff.
Intelligence, how displayed by friends,93.inadequacy of display,96.
Interpretation,144.
James,4,10,13.Jourdain,165 n.Jowett,167.Judgment,58.
James,4,10,13.
Jourdain,165 n.
Jowett,167.
Judgment,58.
Kant,3,112,116,155ff.,200.Knowledge about,144.
Kant,3,112,116,155ff.,200.
Knowledge about,144.
Language, bad,82,135.Laplace,12.Laws of nature,218ff.Leibniz,13,40,87,186,191.Logic,201.analytic not constructive,8.Aristotelian,5.and fact,53.inductive,34,222.mathematical,vi,40ff.mystical,46.and philosophy,8,33ff.,239.Logical constants,208,213.
Language, bad,82,135.
Laplace,12.
Laws of nature,218ff.
Leibniz,13,40,87,186,191.
Logic,201.analytic not constructive,8.Aristotelian,5.and fact,53.inductive,34,222.mathematical,vi,40ff.mystical,46.and philosophy,8,33ff.,239.
Logical constants,208,213.
Mach,123,224.Macran,39 n.Mathematics,40,57.Matter,75,101ff.permanence of,102ff.Measurement,164.Memory,230,234,236.Method, deductive,5.logical-analytic,v,65,211,236ff.Milhaud,168 n.,169 n.Mill,34,200.Montaigne,28.Motion,130,216.continuous,133,136.mathematical theory of,133.perception of,137ff.Zeno's arguments on,168ff.Mysticism,19,46,63,95.
Mach,123,224.
Macran,39 n.
Mathematics,40,57.
Matter,75,101ff.permanence of,102ff.
Measurement,164.
Memory,230,234,236.
Method, deductive,5.logical-analytic,v,65,211,236ff.
Milhaud,168 n.,169 n.
Mill,34,200.
Montaigne,28.
Motion,130,216.continuous,133,136.mathematical theory of,133.perception of,137ff.Zeno's arguments on,168ff.
Mysticism,19,46,63,95.
Newton,30,146.Nietzsche,10,11.Noël,169.Number, cardinal,131,186ff.defined,199ff.finite,160,190ff.inductive,197.infinite,178,180,188ff.,197.reflexive,190ff.
Newton,30,146.
Nietzsche,10,11.
Noël,169.
Number, cardinal,131,186ff.defined,199ff.finite,160,190ff.inductive,197.infinite,178,180,188ff.,197.reflexive,190ff.
Occam,107,146.One and many,167,170.Order,131.
Occam,107,146.
One and many,167,170.
Order,131.
Parmenides,63,165ff.,178.Past and future,224,234ff.Peano,40.Perspectives,88ff.,111.Philoponus,171 n.Philosophy and ethics,26ff.and mathematics,185ff.province of,17,26,185,236.scientific,11,16,18,29,236ff.Physics,101ff.,147,239,242.descriptive,224.verifiability of,81,110.Place,86,90.atandfrom,92.Plato,4,19,27,46,63,165 n.,166,167.Poincaré,123,141.Points,113ff.,129,158.definition of,vi,115.Pragmatism,11.Prantl,174.Predictability,229ff.Premisses,211.Probability,36.Propositions,52.atomic,52.general,55.molecular,54.Pythagoras,19,160ff.,237.
Parmenides,63,165ff.,178.
Past and future,224,234ff.
Peano,40.
Perspectives,88ff.,111.
Philoponus,171 n.
Philosophy and ethics,26ff.and mathematics,185ff.province of,17,26,185,236.scientific,11,16,18,29,236ff.
Physics,101ff.,147,239,242.descriptive,224.verifiability of,81,110.
Place,86,90.atandfrom,92.
Plato,4,19,27,46,63,165 n.,166,167.
Poincaré,123,141.
Points,113ff.,129,158.definition of,vi,115.
Pragmatism,11.
Prantl,174.
Predictability,229ff.
Premisses,211.
Probability,36.
Propositions,52.atomic,52.general,55.molecular,54.
Pythagoras,19,160ff.,237.
Race-course, Zeno's argument of,171ff.Realism, new,6.Reflexiveness,190ff.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,230ff.Rest,136.Ritter and Preller,161 n.Robertson, D. S.,160 n.Rousseau,20.Royce,50.
Race-course, Zeno's argument of,171ff.
Realism, new,6.
Reflexiveness,190ff.
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,230ff.
Rest,136.
Ritter and Preller,161 n.
Robertson, D. S.,160 n.
Rousseau,20.
Royce,50.