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Weyl H. — Philosophy of mathematics and natural science
Weyl H. — Philosophy of mathematics and natural science

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Название: Philosophy of mathematics and natural science

Автор: Weyl H.

Язык: en

Рубрика: Наука/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1949

Количество страниц: 311

Добавлена в каталог: 02.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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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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