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| Weyl H. — Philosophy of mathematics and natural science |
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| Предметный указатель |
(the) transcendent, and its representation by symbols 66
A statistical theory of gravitation? 289
Aberration 115
Absolute constants of nature 287 et seq.
Absolute space 95 99
Absolute space and time 99
Absolute temperature 140
Absolute time 99
Abstraction, originary and mathematical 11
Accuracy of measurements 141
Accuracy of measurements, is a limiting idea 143
Ackermann, W. 60
Active and passive mass 175
Active future 102
Actual and potential infinity 46
Actuality and potentiality 46 see
Additive and intensive quantities 140
Additive quantities 140
Adjustment and perseverance 288
Affine geometry 69 123
Affine, Euclidean, etc., spaces see under "Geometry"
Affinity of all living beings 295
Aggregate 239
Aitemata 19
Alexander Aphrodisiensis 228
Alexejeff, W. 274
ALL 6 14 46 51
Alverdes 214
Ambiguity of truth 153
Ampere 169
Analogy 161 163
Analysis of nature vs. description 145
Analytic geometry 21
Analytic propositions 13 18
Anaxagoras 41
And, in classical logic 5
And, in quantum logic 257
Angelus Politianus 229
Antisymmetry and exclusion principle 262
Apriori character of arithmetics 63
Apriori character of geometry 132 135
Apriori character of the causal law 192
Aprioristic features of space 135
Arbitrariness of initial state 191
Archimedes 19 39 159
Archytas 132
Area 28
Aristotle 54 63 96 129 132 136 149 150 158 177 178 220 285
Arithmetical and combinatorial models 22
Arithmetical axioms 33
Arithmetical models of geometries 32
Arithmetization of theories 227
Ars Combinatoria 27 62 237
Aston 186
Atom, as center of force 169
Atom, atomic energy levels 247
Atom, atomic theory, how it is built up 161
Atom, atomism and its history 166
Atom, the modern conception 184 et seq. especially
Atomic, probability, etc., theory see under "Atomic" "Probability" etc.
Ausdehnungslehre 68
Automorphism 72
Automorphisms of the physical world 82
Avenarius 122
Axiomatic method 18 et seq.
Axioms, axiom of choice 232
Axioms, axiom of parallels 19
Axioms, axiom of reductibility 50
Axioms, categoricity 25
Axioms, completeness 24
Axioms, independence 20
Axioms, special axioms of arithmetic 33
Axioms, special axioms of formalized mathematics 57 et seq. 221
Axioms, special axioms of geometry 19 69
Axioms, special axioms of logic 15 57 58 221
Axioms, their consistency 20
Bacon 132 145
Bain, A. 125 129
Baralipton, Barbara 13
Basic relations 6
Beadle, G.W. 281
Becker, O. 91 129 137
Being and Becoming 46
Bergmann, M. 212
Bergson 212 300
Berkeley 112 129
Bernays, P. 17 60 231
Bernoulli, Jacob 34 195 196
Bernoulli, Johann 44
Bertalanffy 214
Berzelius 169 212
Binocular vision 128
Biogenetic law 296
BLANK 3
Bohr, Niels 119 185 187 188 206 264 282
Boltzmann 203 204 251
Boltzmann, Boltzmann's constant k 208 251
Bolyai 19 67
Bolzano 48 137
Born, M. 173
Boscovich 169
Bose — Einstein statistics 240
Brahe, Tycho 157 158
Brahma 285
Brentano, F. 131
Brouwer, L.E.J. 50—52 61 65 234
Bruno, G. 43 98 108 159
Buechner, G. 112
Buffon 286
Canonic distribution 250
Cantor, G. 34 50 223
Cassirer, E. 149 216
Categoricity 25
Cauchy 32 47 169
Causal connection or structure 101
Causality, causality and finality 213
Causality, causality and quantum physics 253
Causality, causality as a factual component = causal structure 193
Causality, causation and probability 206 213
Causality, causation: basic requirements, relation to classification and dissection, causation and natural law 189
Cause and effect, compared to reason and consequence 17
Cayley, Cayley metric 68
Cervantes 228
Chance 194 et seq. see
Character = quantum state 256
Charge of the elementary particles 186 287
Charge, active and passive 175
Chemical bondage 266
Cherniss, H. 63
Chromosome 248
Chromosome, theory of inheritance 214
Chryrsippus 220
Cicero 228
Clarke 4
Classification 146 286
clock 103
Coarser and finer notions of equivalence 243
Coincidence, spatio-temporal 145
Coincidence, the safest basis for observation 145
Coleridge 295
Collective 12
Combination of relations 5
Combinatorial model (of finite projective space) 22
Combinatorics 237 et seq.
Combinatorics, its significance for modern science 275 see
Commensurability and incommensurability 39
Comparative methods in biology 215
Complementarity 188
Complete induction 33 63
Complete or mathematical induction 33
| Complete quantum state 257
Complete state 245
Completeness, of an axiomatic system 24
Completeness, of the system of real numbers 40
COMPLEX 247
complex numbers 32
Composite vs. simple 147
Concept and presentation 120
Concepts arising by abstraction or construction 149 150
Concordance 121 142 159
Congruence and similarity 79
Congruence, as physical equivalence 82 103
Congruence, defined by rigid bodies 78
Conservation of charge 183
Conservation of energy and momentum 153 167 180
Consistency of axioms 20
Consistency of mathematics 55
Consistency of mathematics, made problematic by Goedel's discovery 219
Constitution and environment 241 292
Construction and description 75
Constructive characteristics 37 147 148
Constructive cognition 37
Continuity of space 40
Continuity principle 86 160
Continuum 38 52 54
Control 192
Conventionalism 134
Coordinate system 75
Copernicus 98 151
Copula 48
Copula, not to be confused with existence or equality 48
Copy 238
Correlations 215
Cosmogonic theories 294
Cosmology 109
Creative definition 8
Creative definition, its general principle 13
Crossing-over 248
Crystallography 290 et seq.
Cusanus, Nicolaus 274
Cut 39
Cytoplasm 250
D'Alembert 45 112 153 190
Dante 109
Darwin, C. 244 298
Darwin, C., a dominant scientific issue 295
Darwin, C., Darwinism 211
Darwin, C., the basic tenets 296
de Broglie 246
de Sitter 109 206
de Vries 277
Dedekind 12 31 40 48 230
Dedekind, Dedekind cut 39
Deductive method 3 60
Definite article 7
Definite field of inquiry 18
Definition 5 19 59
Definition by abstraction 11
Definition, creative definition 8
Definition, definition by abstraction 9
Definition, definitions = horoi in Euclid's geometry 19
Delbrueck, M. 278 280 281
Democritus 43 110 165
Demonstrable formulas 58
Demonstrative act 124
Derived notions (vs. originary ones) 20
Derived relations (vs. basic ones) 6
Derived rules of inference 17
Descartes 25 32 42 47 66 83 96 111 124 130 148 166 174 177 179 180 208 209 215 285
Description and construction 75
Determining power of will 192
Determinism 208
Dewar 272
Diaeresis 53 150
Diagonal process 223
Differentia specifica 6
Dilthey, W. 98 145 161 159
Dimension, as a contingent feature 70
Dimension, general notion 85
Dimension, reason for its special value 136
Dingler 151 155
Diogenes Laertius 228
Dirac, P. 246
Discontinuous and combinatorial structures 275
Discrete vs. continuous 43 291
Divine intellect (confronted with human intellect) 16
Divine predestination 124 208
Division scheme, of n-dimensional continuum 90
Division scheme, of one-dimensional continuum 52
Dobzhanski 244 298
Driesch 214 280
Duality (in projective geometry) 26
Duality of field and matter 173
Dynamical law of quantum mechanics 258
Economy of nature? 155 213
Eddington 172 207 255 282 288
Effective state 239
Egohood 124 215 238
Eigenvalues and eigenvectors 261
Einstein, A. 87 102 106 132 134 153 172 188 206 253 254 288
Elan vital 212
Electric charge see "Charge"
Electric, field 113
Electron 185 247 262 289
Electron, its radius 169
Elementary particles 185
Elementary particles, the problem of their charges and masses 172 287 289
Empedocles 285
empty space 44 130 166 172
Energy 180
Energy and mass 181
Energy and momentum 180
energy levels 247 260
Energy operator in quantum theory 261
Enriques, F. 152
entropy 194 202
Entropy and disorder 203
Epicurus 71
Epigenesis vs. preformation 280
Epistemology, epistemological standpoints: realism, idealism, transcendentalism 65
Epistemology, its scientific implications 116
Equality 57
Equality of inertial mass and weight 106
EQUIVALENCE 9 239
Ergodic hypothesis 202
Ether 176
Eubulides 220 228
Euclid 19 40
Euclid, Euclidean geometry 3 19
Euclid, motions 78
Euclidean geometry 19
Euclidean geometry, far- and near-geometry 86
Euclides (of Megara) 220
Eudoxus 31 39 45
Euler, L. 42 148 167 176
Even and odd 33 38 222
Even and odd permutations 84
evidence 55 61 154
Evidence for organic evolution 296
Evidence of Euclidean geometry? 132 135
Evolution 285
Evolution, evolution creatrice 300
Evolution, is not the key to world understanding 286
Ewige Wiederkunft 110
Exclusion principle 247
Existence and reality 122 see
Existence, its representation in logic and the problem of the infinite 6 14 46 50
Expanding Universe 110
Expanding universe and the arrow of time 206
External circumstances 240
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