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Weyl H. — Philosophy of mathematics and natural science |
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Предметный указатель |
Factual, closed, numerical formula 56
Faraday, M. 170 176
Fermat 195
Fermi — Dirac statistics 247
Fichte, G. 66 124 127 130 174 214 216
Field theory 170 171
Field theory, field and matter 173
Filling a blank 6
Finite and infinite set 47
Finite logic 13
Finite rule 15 see
Fischer, E. 212
Fluctuations 199
force 148
Force, as source of measurable characteristics of matter 149
Formalization 27
Formalization of mathematics 55
Formally valid propositions 13
Formula 56
Foucault 154
Fractions 30
Fractions, their addition and multiplication 30 31
Fraenkel 231
Frame of reference 75
Free mobility 81
Free variable 56
Free will 208
Frege, G. 11 12 35 230
Friedmann 110
Fries, J.L. 15
fringe 109 175
Future and past see "Past"
Galileo 16 19 43 47 97 100 111 132 136 139 141 145 147 149 151 154 155 157—159 161 165 176 178 189 209
Galois, E., Galois theory 74
Gametes 241
Gassendi 54 165 166
Gauge invariance 136
Gauss 10 47 86 133
Gene 241
Gene as aperiodic crystal 280
Gene, molecular theory 278
Gene, size and weight 279
General propositions 7
General relativity 88
General relativity and gravitation 106
General relativity, and its principle in simplest form 238
General relativity, its postulate 104
General theory of relativity 107
Genetic constitution 240
Genetic explanation of organic evolution 298
Genotype 241
Gentzen, G. 220
Genus proximum 6
Geology 294
Geometrical method 132
Geometry of color qualities 70
Geometry of the four-dimensional world 107 108
Geometry, as deductive science 3
Geometry, defined by its group of automorphisms 77
Geometry, founded in mechanical practice 103 133
Germ plasm 240
Gestalt 190 214 287 291
Gestalt, gestalt-psychology 214
God, as guarantor of truth 112
God, as guarantor, and of reality 125
Goedel, K. 61 219 232 234
Goedel, K., Goedel's first and second theorems 223 230
Goethe, J.W. 99 149 276 286
Goldschmidt, R. 249
Gordan, P. 274
Grammatical structure 56
Grassmann 68
Grating, in classical physics 255
Grating, in quantum physics 256
Gravitation 106
Griggs, R.F. 299
Group 27
Group of automorphisms 73
Group of Euclidean motions 78
Guericke 173
Guiding field 106
Haeckel 296
Haldane 214
hankel 27 43
Haploid 244
Harmony of the universe 98 125 159
Hartmann, M. 214
Hegel 66 132
Heisenberg 187 257
Helmholtz 11 26 35 81 89 103 117 119 120 125 128 133 137 139 140 173 192
Heraclitus 94
Heredity, its essential features 242
Hering 128
Hertz, Heinrich 162
Heterozygous 244
Hierarchy of laws 153
Hierarchy of structures 272
Hilbert, D. 17 19 22 23 35 40 55 59 60 62 64 173 179 219 266
Hjelmslev 143
Hobbes 26 36 112 152 153 208
Holism 214 277
Homopolar bond 269
Horoi, in Euclid's geometry 19
Hume 10 43 112 122 130 132 143 189 192 193
Husserl, E. 18 27 41 52 60 62 112 119—121 134
Huxley, Julian 300
Huyghens 19 32 104 154 157 158 166 168 176 195
Hybrid 244
Hyper-complex numbers 32
Hypothesis, its role in science 157
Hypothetical elements 146
Hypothetical statements 51
Hysteresis 200
Ideal elements 9
Idealism 65
Idealism and realism as methodical principles 116 see
Ideality of space and time 131
Identification 5
impact 167
Implication 14
Implicit definitions 27
Independence of axioms 20
Individual 7
Individual state 239
Indivisibles 44
Induction 163
Inertial structure 101
Inertial structure, acts upon and is reacted upon by, matter 105
Infeld 173
Inference, the classical example 16
infinity 38 41
Infinity, infinite sequence, determined by law or by choice 52
Infinity, infinite set 47
Infinity, infinitely small 43
Inheritance of acquired characters 297 298
Intensive quantities 140
Interpretation vs. theoretical construction 283
Intuitive mathematics 50 et seq.
Intuitivity of non-Euclidean geometry 133
Invariance 9 73 104
Invariants, describing the wave states of molecules 269—272
Irreversibility 203
Irreversibility and probability judgment 204
Irreversibility of time 203 et seq. see
Isomorphic, isomorphism 25
Jeans, J. 294
Johannsen, W. 245
Jordan, P. 279 282
Jurisprudence 28
Kaluza 172
| Kant, I. 18 37 41 42 60 62 64—66 80 97 105 113 122 131 132 164 169 188 192 194 209 210 213 215 295
Kekule, Kekule diagrams 266 272 273
Kennen and erkennen 26
Kepler 132 139 151 155 158 159 214
KIND 238
Klein, F. 21 67 74
Koinai ennoiai, in Euclid's geometry 19
Kronecker, L. 33
Kummer 9
Lagrange 190
Lamarck 286 297
Lambert, J.H. 5 117
Lange, F.A. 174
Language of everyday life and physics 264
Laplace 195 209 294
Lasswitz, K. 216
Lavoisier 177
Law of contradiction 15
Law of Large Numbers 196
Law of linear arrangement 249
Law of the excluded middle 15 51
Left and right 84 107 208
Leibniz 2 4 5 8 11 13 26 40 41 44 45 47 61 68 73 97 101 104 117 121 124 130—132 143 154 160 161 166 173—175 177 178 180 181 191 192 209 213 215 238
Leibniz principle of sufficient reason 98 159
Leibniz, Leibniz's continuity principle 86
Lemaitre 110 207 294
Length, is it relative or absolute? 83
Levels and types 234
Levels of energy see under "Energy"
Levels of properties 48
Lie, S. 26 81 137
Life and quantum-mechanical indeterminacy 279
Life of order 212 281
Life under the aspects of freedom and purposiveness 212
Life, and of plan and idea 300
Life, chemical constitution of the material substrate of life 212 276
Life, criteria of life 215
Light cone 102 115
Light, as electromagnetic field 114
Light, as wave and corpuscle 188 246 253 263
LIMIT 44
Linkage 248
Lobatschewsky 19 67
Locke, J. 97 111 165 166 180
Logic and mathematics 51 62—64
Logic, finite and transfinite logic 57
Logic, its normative character 17
Logic; traditional and mathematical logic 5
Logical axioms 15 57 58 221
Lorentz group 107
Lorentz, H.A. 161
Lorentz, H.A., Lorentz-transformation and -group 107
Lotze 126
Lucretius 285
Mach, E. 104 142 150 157 160 161 163 190 289
Macroscopic and microscopic symmetry of crystals 290—292
Mass and energy 171
Mass and quantity of substance 168 177
Mass, Galileo's definition 139 147
Mass, inertial mass and weight 106
Masses of the elementary particles and of the universe 289
Material constants 162
Mathematical and philosophical knowledge 65 84
Mathematical and physical space 134
Mathematical induction 32
Mathematics and logic 62
Mathematics and natural science 61
Mathematics as a hypothetico-deductive mold of theories 27
Mathematics the science of the infinite 66
Matter and field 173
Matter as agent 174
Matter as substance 165 177
Maxwell, C. 136 144 159 163 170 176
Measurement 30 139
Measurement in quantum physics 258
Mechanical explanation of organic phenomena 214
Mechanical picture of the world 167
Mechanical similarity 141
Meiosis 241
Melville, H. 287
Mendel, G. 245 297
Metamathematics 59
Metaphysical interpretation 124 149
Metempsychosis 210
Methexis 11
Metric field 87
Metric structure determined by inertial and causal structure 103
Meyer, A. 214
Mie, G. 171 288
Mill, J.S. 64 130 192 193
Models (as means for proving consistency) 21
Moebius 74
Momentum 147 see
Monads 41 174 175 178
Monomial aggregate 240
Monomial invariant 270
More, Henry 100
Morgan, T.H. 248 249 296
Morgenstern, O. 237
Morphe see "Gestalt"
Morphology in natural science 190 286
Morphology, geometric 90
Motion, absolute and relative 96
Motion, kinematical and dynamical 104;
Mueller, J. 125
Muller, H.J. 278
Multiplet 267
Mutations 245
n-dimensional geometry 69 85
Natorp 136
Natural numbers 33
Natural selection 296
Nature and nurture 241
Nature and orientation 87 134 291
Negation 5 222 230
Newton, I. 45 74 99 100 133 148 152 154 155 167 168 176 178 190 213
Nietzsche, F. 110
Non-Euclidean geometry 19
Non-Euclidean geometry, its 'intuitivity' 133
Normative character of logic 17
Numbers, fractions 30
Numbers: cardinal and ordinal 10 34
Numerical formula 56 221
Numerical symbols 35 222
Objectification, of sets 48
Objective = invariant 73 123
Objective world 'exists and does not happen' 116
Objective-relative vs. subjective-absolute 116
Objectivity 71
Observable (quantity) 256
Observation in quantum physics 263
Odd see "Even"
One space or distinct sense spaces? 129
Oparin 299
OR 5
Or, in quantum logic 257
Order and disorder, macroscopic and microscopic 281
Order, as a characteristic of life 212
Ordinal number 34
Organic evolution 295
Organic evolution and its genetic explanation 298
Organism 211
Organization not peculiar to living beings 277
Origin of life 215 299
Originary and derived notions 20
Orthogonal group 82
Orthogonal transformations 82
Osborn, H.F. 299
Paleontology 296
Paradox 224
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