Part 3 — INDEX

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,

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,

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

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

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

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

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