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| Weyl H. — Philosophy of mathematics and natural science |
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| Предметный указатель |
Paradox of Achilles and the tortoise 42
Paradox, pseudomenos 228
Part and whole 52
Particle and wave 187 246
Particulate inheritance 297
Partition 238
Pascal, B. 19 195
Pasch, M. 9
Passive past 102
Past and Future 101 194 205 264
Pauli, W., Pauli's exclusion principle 247
Paulus Venetus 220 229
Peirce, B. 62
Perfection 158
Perfection, as heuristic principle 159
permutations 84 240
Perspective 113
Pertinent propositions 7
Phenomenal knowledge 61
Phenomenological characterization of life 276
Phenomenology 134
Phenotype, determined by genotype and environment 244
Philitas of Cos 228
Philosophical and mathematical knowledge 65
photoelectric effect 253
Photon 188 246
Phylogenetics 296
Physical and geometric automorphisms 83
Physical equivalence of spatial magnitudes 103
Plan in evolution 300
Plan in organisms 280
Planck's quantum of action h 185 245
Planck, M. 185 277
Plato 11 43 63 91 110 130 132 150 178 179 227 285 286
Poincare, H. 51 119 127 129 134
Point 41
Point (in genetics) 241
Point and structure mutations 245 249
Polyploidy 297
Positional system 36
Positive and negative electricity 208
Possible; the background of the possible 37 131 234
Postulate of general relativity 88 104
Potentiality and actuality 46 178
Prantl, C. 220
Pre-established harmony 143 174
Presentation = Vorstellung 120
Primary and secondary qualities 111
Principium identitatis indiscernibilium 238
Principium individuationis 131
Principle of indeterminacy 257
Principle of sufficient reason 98 159 see
probability 156 195
Probability and frequency 198
Probability and measure theory 195
Probability, as a primary factor in the description of nature 198 263
Probability, as relative dwelling time 201
Probability, classical definition 195
Probability, objective significance 196
Proclus 133
progress 295 298
Projective geometry 70
proof 58 226
Proper time 103
Proper time and its measurement 103
Pseudomenos 228
Psychological origin of space 125
Psychological origin of spatial intuition 125
Pure numbers in atomic theory 287 289
Pure valence state 270
Purely arithmetical definition of fractions 31
Purposiveness as a regulative principle (Kant) 213
Purposiveness in organisms 211
Pythagoras 227
Pythagorean nature of metric 137
Quantifiers 55
Quantitative measurement 139
Quantity, is it a well-defined category? 62
Quantization of field equations 289
Quantum logic 263
Quantum of action 185 245
Quantum state 257
Quantum theory 187 253
Quaternions 32
Rational numbers 31
Reactions 146
Real numbers 40 53
Realism 65
Realism vs. idealism 123
Reality and reason 163
Reality, of the world, of the I and thou 124
Reality; Hume's and Kant's viewpoints 122
Regularity, bound to simplicity 191
Relations always based on properties? 4 131
Relations, their propositional schemes and their combinations 3 5
Relative dwelling time 201
Relativity and group of automorphisms 75—77
Relativity of motion 96
Relativity of space 89
Relativity; principle of relativity 238
Resonance, in quantum mechanics 272
Richard's paradox 224
Richard, the Richard paradox 224
Riemann, B. 43 67 85 86 103 105
Riemannian geometry 86 see
Right and left see "Left"
Rigid bodies 78
Robertson, H.P. 110
Roemer, O. 152
Roots of the concept of substance 180
Russell's paradox 231
Russell, B. 7 12 49 63 231 233
Russell, B., paradox 231
Russell, B., Russell's axiom of reducibility 50
Russell, B., theory of types 232
Russell, B., vicious circle principle 49
Schelling 66 176 214 216 285
Schlick 28
Schopenhauer 34 210
Schroedinger, E. 187 246 280—282
Schroedinger, E., Schroedinger's equation 261
Schwarzschild 118
Schweitzer, A. 283 295
Secondary and primary qualities 111
Selective sequence 52
Self-duplication 276
Sensations as signs 119
Set 12
Set theory, 46 et seq. 230 et seq.
Set, creative definition and set formation 12
Set, two steps of set concept 48
Sets and classes 231
Sex 249 250
SHAPE 9
Shaw, G.B. 300
| Signature 82
Signs of communication 56
Similar 8 73
Similarity 9 79
Similarity and congruence 79—80
Simple and complicated 191
Simple and composite 147
Simple and probability 156
Simple as sigillum veri 155
Simplicity of the basic laws of nature 147 191
Simultaneity 101
Singular propositions 7
Smoluchowski 204
Solidity 166
SOME see "Existence"
Sommerfeld 185
Space 96
Space as medium of contact and as order of all possible positions 96 97 131
Space as principium individuationis 131
Space as pure non-empirical intuition or as form of our intuition 130 132 135
Space as substance 179
Space of intuition 135
Space-time 95 et seq.
Space-time, splitting of the world into space and time, according to Einstein 116
Space-time, splitting of the world into space and time, according to Newton 95
Spatial field of vision, binocular 128
Spatial field of vision, monocular 125
Spatial signature 107
Spatial, temporal, topological signature 107
Special relativity; principle of special relativity 100
Special theory of relativity 102 104
Species 244
Speiser, A. 65 109
Spemann, H. 283
Spin 267
SPINOZA 131 177
Spontaneous generation 215 299
St. Paul 228
Stanley, W.M. 279
State, individual and effective state 239
Static universe 109
Statistical independence 196 215 251 262
Statistical regularity 199
Statistical thermodynamics 199 250
Stenzel 63
Stevin 154
Structure 25
Structure of aggregates 247;
Structure of mathematics 219 et seq.
Struggle for survival 296
Stumpf 113 129 131
Subject and object 115
Subject of space and time 112 113
Subjective nature of space 112
Subjective time 102
Subjective-absolute vs. objective-relative 116
Subjectivity of sense qualities 110
Substance 174 177
Substantial forms 178
SWIFT 24 224
Switching-over 249
Syllogism 15 58
Syllogism as the practical rule of inference 17
Sylvester, J.J. 273
Symbolic construction 113
Symbolic mathematics 54
Symbolic structures as the core of objectivity 237
symbols 64 75
Symbols and experience 114
Symbols, their hollowness 284
Symbols, their role as representatives of the transcendental 66
Symmetry and equiprobability 197
Symmetry of crystals 290—292
Symmetry; the principle of symmetry 160
Syngamy 241
Synthetic (and analytic) judgments 64
Synthetic knowledge a priori 133
Synthetic principles 146
Teleological concepts 211
Temporal signature 107
Term (in spectroscopy) 267
Tertium non datur see "Law of excluded middle"
The essence of space 130
Their relation to space and time 36
Theoretical construction 61
Theoretical construction, role of its principles 134
Theory as a connected whole 152
Theory of games 237
Theory of special relativity 102 104
Theory: formation of theories 151 et seq.
Thermodynamical equilibrium 199 250 see
Tieferlegung der Fundamente 266
Time 63
Time as form of our intuition 113
Time as fourth dimension 95 104 108
Timofeeff-Ressowsky, N.W. 278
topology 74 89—91
Transcendental idealism 122
Transfinite part of logic 13 58
TREE 248
Treviranus 286
Two-oneness 63
Types 232
typical 286
Ueberweg 81
Unconscious inferences 120
Understanding from within 283
union 240
Unity of all matter 186
Unity of scientific method 214
Universal hypothetical statement 17
Universe 108
Vagueness of data 53 91
Valence 268 et seq.
Valuation of formulas 60
Vector 68
Vicious circle (of set theory) 49
virus 276
Visual impression of motion 127
von Neumann, J. 55 60 231 237
von Uexkuell 214
Wahlfolge see "Selective sequence"
Wave state 256
Weierstrass 47
Whole 214
Whole and part 52
Whole is more than the combination of its parts 262
Willis, J.C. 300
Woehler 212
Woltereck 214 283
World = space-time continuum 95
Wundt 127
X-ray induced mutations 277
Zeno 41
Zygote 241
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