The Analysis of Matter

A priori and empirical knowledge: 173 Abstract geometry: 76 Acceleration: 231, 368 „ absolute: 18, 67 Accuracy: 99 Action: 36, 341, 379, 394 „ at a distance: 18, 108, 162, 327, 356, 359, 374, 380 Action, principle of least: 19 Adjectives: 242 Æther: 19, 121, 276, 355 Analogy: 399 Analysis: 4 „ logical: 2 Analysis situs: 55, 113, 114, 295, 298, 303, 311, 401 Analytic and synthetic propositions: 169 Ancestor: 373, 378 Apes: 148 Aristotle: 161 Arithmetic: 4, 276 Aspects: 347 Astronomy: 163, 234, 317, 397 Atom: 24, 234 „ Heisenberg's: 42 „ nucleus of: 25 „ Rutherford-Bohr: 24, 27, 42 Atomic number: 234 „ weight: 234 Atomism, spatial: 22 Axioms: 2 Bach: 392 Beauty: 392 Behaviourism: 142 Beliefs: 142, 174, 178 Bergson: 101, 279, 387 Berkeley: 6, 7, 136, 156, 159, 192, 213 Between: 305 Bifurcation of nature: 257 Biography: 212 Black-body radiation: 30 Bohr: 32, 33, 35, 133, 134, 195, 286, 360 Bolyai: 20, 103 Born: 42, 343 Boscovitch: 13 Bradley: 387 Brain: 382 Braithwaite: 167 Broad: 197, 259, 260, 286 Camera: 209, 265 Cantor, Georg: 14 Cantorian continuum: 58, 279 Cartesianism: 160 Category: 238, 243 Causal ancestor: 314 „ chain: 285, 314, 320, 371 „ laws: 107, 121, 168, 191, 200, 214, 245, 285, 340, 355, 366, 381 „ „ extrinsic: 324 „ lines: 313, 401 „ relation: 367 „ route: 379 „ unit: 315 Causality: 313, 367, 381, 398, 399 Causation: 108, 383 „ at a distance: 214 Cause: 150, 159 Cause-and-effect: 346 Change: 281, 362 Chuang-Tze: 180 Clarke: 14 Classes: 116, 387 Collinear: 306 Collinearity: 308 Colour: 288 Colour-similarity: 288 Colours: 253 Common sense: 141, 156 Comparison: 278 Compresent: 294, 336, 349, 356, 372, 374, 376, 378, 383, 385 Conjunctions: 242 Constants: 172, 251 Continuity: 24, 71, 168, 214, 217, 231, 279, 322, 362 „ perceptual: 280 „ qualitative: 81 Continuous, space-time is: 42, 311 Continuum: 401 „ mathematical: 280 Contravariant: 65 Co-ordinates: 56, 57, 60, 63, 71, [Pg 404]110, 334, 337, 397 Co-punctual: 307, 314, 321, 373, 401 „ events: 315 Co-punctuality: 299, 376, 386 Co-regional: 311 Correlation: 188, 204, 205 Correspondence: 239 Co-superficial: 311 Co-variant: 65 „ derivative: 96 Curve of pursuit: 101 Data: 141, 187, 189 De Broglie: 46 Debye: 32 Descartes: 6, 9, 19, 71, 156, 160, 205 Determinism: 390 „ physical: 214 Dictaphone: 209, 265, 400 Differential equations: 231 „ law: 245 „ „ intrinsic: 323 Diffraction: 395 Dimensions: 312, 341 Dirac: 42, 43 Discontinuity: 24, 395 Distance: 166, 303, 350 Diversity: 386 Doppler effect: 165 Dreams: 205, 222 Eddington: 57, 64, 75, 78, 82, 84, 91, 96, 97, 103, 106, 110, 117, 122, 129, 131, 136, 168, 341, 377, 395 Einstein: 13, 32, 42, 52, 75, 77, 129, 161, 187, 233, 323, 395 Electromagnetism: 328 Electrons: 9, 24, 80, 90, 135, 153, 168, 234, 244, 276, 287, 319, 320, 325, 347, 386, 394 Ellis: 123, 125, 126 Emergent: 286 Empirical: 141, 176 Empiricists: 169 Enclosure-series: 291 Energy: 84, 122, 234, 318, 345, 360, 362, 394, 401 „ kinetic: 123 „ radiant: 365 Entities, unperceived: 191, 206 „ unperceivable: 216 Epistemology: 179 Error: 183, 184, 186 Euclid: 61, 70, 71, 103 Euclid's first axiom: 94, 99 Euler's diagrams: 387 Events: 9, 243, 247, 275, 284, 286, 345, 356, 377, 384 Events: group of: 244 „ luminous: 352, 333, 354, 369, 371, 373 „ maximum: 293 „ minimum: 292 „ persistent: 347 „ steady: 355, 356, 363, 368, 402 Evidence, empirical: 6 Existents, unperceived: 213, 226 Expectations: 181, 182, 183, 189 Experience: 173 Facts: 239 Fallacy of simple location: 340 Faraday: 20 Fijians: 102 FitzGerald contraction: 50, 100 Force: 18, 19, 76, 161 Form: 172 Foucault's pendulum: 358 Fowler: 33, 42 Franck: 38 Freewill: 38 Frege: 4, 242 Frequency: 357, 364 Galileo: 6, 13, 101, 161, 395 Gauge-system: 97, 98 Gauss: 58, 59, 113 Geodesics: 55, 62, 69, 72, 313, 327, 371, 372, 379, 396 Geometry: 2, 3, 21, 102, 117, 174, 227 „ abstract: 76 „ affine: 98 „ descriptive: 210 „ Euclidean, 77 „ natural: 76 „ non-Euclidean: 20, 59, 396 „ projective: 103, 109 Gestalt-psychologie: 345 Gramophone: 205, 249 Gravitation: 17, 52, 60, 74, 77, 85, 89, 163, 176, 187, 324, 326, 371 Group, ideal: 212 : 30, 33, 45, 317, 330, 341, 343, 360, 364, 365, 368, 394 Habit: 184, 191 Haldane, J. B.: 233 Hallucinations: 222 Hand-eye co-ordination: 143, 147 185 Hausdorff: 296, 297, 303, 312 Hearing: 316 Hegel: 55, 199 Heisenberg: 24, 27, 42, 43, 45, 246, 283, 321, 322, 326, 332, 343, 338, [Pg 405]360, 361 Helium: 24, 26 Helmholtz: 138 Heraclitus: 62, 176 Hertz: 19, 20, 22 Holt: 10 Hume: 159, 190, 398 Hydrogen: 25 „ spectrum: 32 Hypothesis: 194 Idealism: 7, 28, 215, 382, 387, 388 Idealists: 215 Impenetrable: 385 Implication, strict: 199 Indestructible: 385 Indistinguishability: 282 Individuals: 387 Induction: 153, 154, 167, 175, 194, 230, 233, 398 „ mathematical: 71 Inference: 150, 187, 190 „ physiological: 150, 190 Infinite divisibility: 279 Infinitesimals: 104, 107 Instants: 294 Integers, finite: 3 Interference: 352, 395 Interpenetration, logical: 386 „ spatio-temporal: 386 Interpretation: 4, 88, 137, 141, 188, 225, 288 Interval: 51, 58, 69, 70, 88, 110, 117, 129, 314, 327, 330, 354, 367, 377, 396, 397, 402 „ discontinuous: 367 „ time-like; space-like: 51 Introspection: 173 Invariants: 82, 84 Jeans: 31, 32, 123, 129, 341, 381, 386 Jeremiah: 240 Johnson, Dr.: 136 Jordan, P.: 38, 42, 343 Kant: 14, 20, 55, 78, 157, 159, 160, 169, 171, 174, 175, 279 Keynes: 167, 233, 399 Kinematics: 361 King, L. V.: 47, 129 Kirchoff: 19 Knowledge: 174, 178 „ subjective factor in: 334 Köhler: 148 Kropotkin: 74 Language: 152, 239 Laws, causal: 101 Laws: differential: 101 „ general: 229 „ of contradiction: 171 „ of motion, first: 323 „ simple: 232, 236 „ scientific: 388 „ statistical: 231, 235, 236 Learned reactions: 154 Leibniz: 8, 14, 17, 18, 156, 157, 160, 200, 238, 328 Leonardo: 161 Lewis, G. I.: 199 „ G. N.: 125, 126, 134, 164 Light: 123, 131, 132, 155, 163, 216, 235, 244, 267, 276, 314, 317, 328, 339, 345, 351, 364, 369, 373, 395 „ frequency of: 353 Light-quantum: 124, 268, 316, 318, 395, 401 Light-ray: 70 Limit: 309 Limitation of variety: 233 Limits: 71, 117 Line: 306 „ spectra: 32 „ "straight": 61 Lobatchevsky: 20, 103 Location: 258, 320 Locke: 132, 159, 257, 339 Logic: 2, 9, 171, 239, 247, 250, 387 „ mathematical: 2, 9, 71, 107, 138, 350 „ traditional: 387 Logical property: 251 „ symbols: 289 Lorentz: 124 „ transformation: 49, 54 Mach: 15, 19 Mass: 53, 86, 122, 163, 284, 318, 386 „ gravitational: 341 „ invariant: 122 „ relative: 122 Material energy-tensor: 86 Materialism: 7, 162, 383, 387, 388 Materialists: 215 Mathematics: 174, 176 „ applied: 5 Matrices: 44, 46 Matter: 131, 134, 156, 160, 182, 192, 215, 243, 321, 324, 355, 372, 379, 384, 392, 401 „ atomicity of: 30 „ indestructibility of: 168 „ unperceived: 232 Matters of fact: 176, 178[Pg 406] Maxwell, Clerk: 15, 20, 22 Maxwell's equations: 49, 54, 97, 121, 258, 359 Meaning: 240, 243 Measurement: 90, 97, 99, 107, 109, 337, 377, 397 Memory: 186, 266, 267, 389 Mendelians: 233 Menger, Karl: 312 Mental states: 320, 322 Mercury: 40 Metre: 91 Mill, J. S.: 21, 101, 171 Mind: 156, 160, 192, 336, 382, 387 Minkowski: 15, 135, 395 Mnemic phenomena: 265, 315 Modality: 169 Momentum: 36, 84, 86, 156, 162 Monad: 157 Moore, G. E.: 210 Motion: 244, 246, 278, 317, 326, 355 „ absolute: 356, 358 „ continuous: 380 „ percept of: 279 „ periodic: 344, 348 „ relative: 359, 378 Motor habits: 148 Muscular physics: 160 Naive realism: 155, 218, 262, 398 Names: 152 Napoleon: 186 Necessary and contingent propositions: 169 Neighbourhoods: 295 ff., 303, 312 Neutral monism: 382 „ stuff: 10 Newman, M. H. A.: 290 Newton: 13, 18, 161, 356, 358, 395 Nicod: 167 Nisbet: 167 Nucleus: 347 Numbers: 4 „ ordinal: 250 „ real: 290 Object: 142, 181, 182, 186, 204, 207, 218 Objectivity: 218, 222 Objects, external: 198 Occam: 15, 290 Odour: 133 Ontology: 9 Orbits, elliptical: 38 Order: 109, 231, 242 „ macroscopic: 304 „ microscopic: 305 Overlapping: 294, 356 Paneth: 24 Parallel displacement: 96, 106 Parallelism, psycho-cerebral: 391 Parallelogram: 99, 104, 117, 377 Particulars: 275, 319, 386 Pasch: 210 Peano: 3, 240 Perception: 137, 159, 164, 173, 175, 177, 178, 186, 187, 188, 189, 215, 218, 219, 247, 398 „ causal theory of: 181, 193, 197, 320 „ causes of: 8 „ cognitive efficacy of: 262 Percepts: 218 „ "ideal": 211 „ physical status of: 257 „ structure of: 281 Percipients, "ideal": 210 Periodicity: 343, 363, 365 Periodic process: 267, 343, 348, 208, 216 Perspective: 198, 208, 216, 221, 323, 333, 334, 348 Peters: 324 Phenomenalism: 209, 324, 333, 388, 398, 399 Philosophy: 194 Photo-electric effect: 31, 329, 395 Photographs: 334 Photon: 126 Physical time: 254 Physics, abstractness of: 130 „ and perception: 6 „ and pure mathematics: 1 Physiology: 137 Place: 217 Planck: 30 Planck's constant. See "" Pluralism: 242 Poincaré: 233, 312 Points: 9, 22, 276, 286, 290, 299, 321, 348, 376, 401 „ "connected": 304 „ material: 321 Possibility: 170 Postulates: 167, 249 Predicate: 239, 242 Prepositions: 242 Primitive religion: 149 Principle of identification: 86 Probability: 16, 141, 167, 170, 398 Progression: 4 Proper names: 242 Propositional functions: 170 Propositions, general: 185 Protons: 9, 24, 80, 153, 234, 244, 394[Pg 407] Psychologist's fallacy: 179 Psychology: 137 Pythagoras: 22, 30, 58, 59, 61, 71, 235 Qualitative cycles: 359 „ differences: 346 „ series: 9, 115, 343 „ similarity: 120 Qualities: 345 „ primary, secondary: 132, 385 Quality: 288, 388, 391 „ intrinsic: 264 Quanta: 24, 26, 30, 329 Quantities, extensive: 116 „ intensive: 116 Quantum: 101, 168, 231, 234, 268, 326, 343, 345, 352, 355, 360, 366, 381, 393, 394, 402 „ laws: 331 „ number: 33, 36 „ phenomena: 322 Radiations: 283, 316, 326, 331 Radio-activity: 368, 393 Ramsey, F. P.: 299 Rationalists: 169 Realism, naive: 149 Recognition: 151 Reflexes: 143, 184 Region: 302, 311 Reichenbach: 381 Relation-number: 250 Relations: 238, 249 „ atomic; molecular: 116 Relativity: 337, 395 „ special theory of: 39, 48 „ theory of: 14, 17, 53, 100 Repetition: 346 Reversibility: 381 Rhythms: 347, 355, 356, 359, 363, 368, 374, 378, 402 Riemann: 21, 55, 58, 59 Robb, A. A.: 313 Rotation, absolute: 17, 358 Rutherford: 285, 325 Rydberg's constant: 32, 35, 195 Schrödinger: 46 Semi-similarity: 254, 265, 269 Sensation: 189 Sense organs: 259 Separation: 118, 377 Shakespeare: 392 Shapes: 202 Sheffer, H. M.: 10, 299 Sight: 316 „ physics: 160 Similar: 265 Similarity: 117, 120, 249 Simultaneity: 52, 63, 278 Skeleton, causal: 391 Smell: 165, 316 Solipsism: 8, 28, 158, 325, 398 Sommerfeld: 34, 35, 36, 39, 40, 41, 194, 343, 361 Sound: 133, 165, 209, 253, 261, 267 Space: 131, 143, 198, 286, 347 „ absolute: 321 „ empty: 324 „ Euclidean: 75, 298 „ metrical: 296 „ non-Euclidean: 42 „ perceptual: 252, 335, 338, 386 „ physical: 252, 336, 383, 385 „ tactual; visual: 144, 253 „ topological: 296, 312 Space-time: 49, 132, 244, 286, 338, 340, 341 „ genesis of: 376 „ order: 303 „ physical and perceptual: 333 Space and time, absolute: 14, 22 „ „ common: 207 Spatial relations:348, 359 Specific heat: 32, 195 Specious present: 278 Speech, parts of: 242 Spinoza: 157 Statistical averages: 191, 393 „ fact: 339 Stimulus: 227, 337, 338, 385, 390, 400 Straightness: 307 Structure: 227, 249, 276, 282, 285, 335, 338, 340, 386, 388, 390, 400 Stuff: 244, 388, 401 Subject: 239, 242 Subject-predicate logic: 287 Subjectivity: 223 „ cerebral (or psychological): 225 „ physical: 224 „ physiological (or sensory): 224 Substance: 121, 151, 192, 231, 238, 277, 283, 286, 318, 355, 401 „ indestructible: 238 „ permanent: 239 Suddenness: 347 Surface: 311 Surprise: 185 Symbols: 171[Pg 408] Syntax: 151 Tautologies: 171 Tensor equation: 233 Tensors: 18, 63, 96, 136, 396, 397 Testimony: 193, 203, 206, 399 Theory: 194, 195 Thermodynamics, second law of: 381 Thing, ideal: 213 Thomas, St.: 55 Time: 131, 132, 208, 253, 286, 381 „ perceptual: 338 „ proper: 350, 357 „ psychological: 254 Topography: 177 Touch: 260, 316 „ physics: 160 Transactions: 355, 356, 360, 362, 363, 368, 372, 378, 394, 402 Transitiveness: 251 Truth: 8 Truth-functions: 243 Unconscious: 385 Universals: 152 Urysohn: 297 Vagueness: 220, 223, 224, 280 Variables: 172 Variables, separation of: 36, 393 Velocities, composition of: 53 Velocity: 323, 374 Verbs: 242 Vietoris, L.: 296 Vis viva: 156 Watson, T. B.: 154, 192 Waves, electromagnetic: 20 Weierstrass: 3 Weight: 163 Wells: 226 Weyl: 87, 94, 95, 103, 106, 119, 328, 395, 396 Whitehead: 6, 22, 57, 75, 77, 78, 90, 130, 138, 144, 158, 199, 210, 230, 247, 237, 290, 291, 292, 294, 340, 397 Wilson: 35, 41, 343 Wittgenstein: 16, 171, 239 Words: 151 „ written: 241 World-lines: 135, 244, 253, 317 Writing: 241 Zeeman effect: 35 Zermelo's axiom: 299 Zones: 304 PRINTED IN GREAT BRITAIN BY BILLING AND SONS, LTD., GUILDFORD AND ESHER *** END OF THE PROJECT GUTENBERG EBOOK 77427 ***