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Dawson Jh.W. — Logical Dilemmas: The Life and Work of Kurt Godel |
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Предметный указатель |
"American refugee policy in historical perspective" (Daniels) 143
"Goedel's proof (Nagel and Newman) 215n
"Intellectual Autobiography" (Carnap) 29 62
"Kin Beitag zur Manniglaltigkeitslehre" (Cantor) 44
"On the infinite" (Hilbert) 120.I 18
"Remarks at the Princeton Bicentennial Conference" (Goedel) See Goedel Kurt:
"Russell's mathematical logic" (Goedel) See Goedel Kurt:
"Some facts about Kurt Goedel" (Wang) 250
"The concept of truth in formalized languages" (Tarski) 326
"What is Cantor's continuum problem?" (Goedel) See Goedel Kurt
-calculus 99
-rule 72
A Grammar of Late Modern English (Poutsma) 218n
A Logical Journey: From Godel to Philosophy (Wang) 240—242
Aberglaube und Zauberei 30
Absoluteness 133
Achensee (Austrian resort) 7
Ackermann, Wilhelm 50
Ackermann, Wilhelm, results in logic 73 94 101
Adenauer, Konrad 209
Aflenz, Austria 7 111
Aiken, Howard [470]
Albert, A.Adrian |226]
Aleph notation 45
Alexander, James 96
Alien Registration Act 155
Alt, Franz 122n
American Mathematical Monthly 173 175
Analytic set 127n
Annals of Mathematics 123
Anselm, Saint 39
Anselm, Saint, ontological argument 198 229
Antinomy of the liar 38 65
Antinomy, Burali — Forti's 42
Antinomy, Richard's 42 100
Antinomy, Russell's 42 76
Aristotelian logic 37—38
Aristotle 203
Arithmctization of syntax 63
Arithmetic, consistency of 48
Arithmetices Principia, Nova Methodo Ex-posila (Peano) 15—46
Artin, Emil 124 [332]
Association for Symbolic Logic 202 322
Ativan, Michael 221
Attentate, die Oesterreich erschuetterten (Siegert) 111n
Auernheimer, Raoul 210
Austerlilz, battle of 7
Austria, political and, civil disintegration 90 103 110
Axiom of Choice 109 115 321 326 328
Axiom of Choice, conflict over 75
Axiom of Choice, implied by Axiom of Constructibility 133
Axiom of Choice, independence of 118—119 159—160 222
Axiom of Choice, relative consistency of 108 119 122—123 170—171
Axiom of Choice, statement of 117
Axiom of Constructibility, class formulation 132
Axiom of Constructibility, independence of 160 222—223
Axiom of Constructibility, relative consistency of 133
Axiom of Constructibility, statement of 122
Axiom of Constructibility, truth of 175
Axiom of Elementary Sets 116 119
Axiom of extensionality 116 119
Axiom of foundation 119
Axiom of infinity 98 117 119
Axiom of pairing 119
Axiom of replacement 118—119
Axiom of Restriction 118
Axiom of separation 116—119 121
Axiom of the power set 117 119
Axiom of union 116—117
Axioms of infinity See large cardinal axioms
Aydelotte, Frank 145 148—149 154 158
Bach, Johann Sebastian 201
Bacon, Francis and Roger 24
Bad Elsler, Germany 75 78 119
Bamberger, Edgar 97
Bamberger, Louis 94—95
Bamhi (Disney film) 181
Banach — Tarski paradox 326
Bar Harbor, Maine 157
Bargmann. Valentin 154
Barnes, Mabel Schmeiser [226]
Baumhach, Rudolf 209
Begriffsschrifi (Frege) 41 217 322
Behmann, Heinrich 73n
Bellah, Robert 244—245
Beltrami, Eugenio, Mi Benacerraf, Paul 247
Bergmann, Gustav 91
Berlin, Germany 121
Bernays, Paul 78 84 220
Bernays, Paul, academic career 206 321
Bernays, Paul, article on Hilbert 82
Bernays, Paul, association with Hilbert 72
Bernays, Paul, class formalism for set theory 132 139
Bernays, Paul, contributions to propositional logic 51 54
Bernays, Paul, correspondence with KG 73—74 206—207 226 230—231 239 247
Bernays, Paul, death 252
Bernays, Paul, influence on KG's works 206
Bernays, Paul, shipmate of KG 109
Beurling, Ante 244
Bieberbach, Ludwig 53
Birkhoff, George David 95n
Blackwell, Kenneth 163n
Blaschke, Ernst 24
Blaschke, Wilhelm 53
Bled, Yugoslavia 93
Bleick, Willard E. [226]
Blue Hill, Maine 160
Blumenthal, Leonard M. [226]
Bom, Max 107
Bombieri, Enrico 260
Bonaparte, Napoleon 7
Boole, George 41 88
Boole, George, contributions to logic 39—40
Boolean-valued models for set theory 224
Boone, William 207 215n 238
Borel, Armand 202—203 220 259
Borowieka, Sylvia 111
Braithwaite, R.B. 216
Brauer, Alfred 154
Breaking the Cade (Whitemore) 269
Breitenstein am Semmering, Austria 108
Brno, Moravia 21 22 23 31 32 161n
Brno, Moravia, birthplace of KG 45
Brno, Moravia, Godel villa in 7—8 33 126 146 167 208
Brno, Moravia, schools 9 12—15 17—19 53
Brooklin, Maine 157
Brouwer, Luilzen Egbertus Jan 74 324
Brouwer, Luilzen Egbertus Jan, biographical sketch 321
Brouwer, Luilzen Egbertus Jan, conflict with Menger 27
Brouwer, Luilzen Egbertus Jan, influence on KG 55—56
Brouwer, Luilzen Egbertus Jan, lectures in Vienna 37 52
Brouwer, Luilzen Egbertus Jan, opposition to formalization 49 55 73
Brown, Dorothy See Paris Dorothy
Brown, George W. 132 155 161
Bruenn, Moravia See Brno
Bulletin of the American Mathematical Society 199
Burali-Foni, Cesare 42 115
Burggraf, Georg 18
Bush, Vannevar 197
Calculus ratiocinator (Leibniz) 166
Cameron, Robert H. [226]
Cantor, Georg 120 328
Cantor, Georg, attempts to prove the Continuum Hypothesis 11
Cantor, Georg, biographical sketch 322
Cantor, Georg, concept of set 117
Cantor, Georg, conjectures of 17—18
Cantor, Georg, correspondence with Dedekind 116.
Cantor, Georg, diagonal method 14 44 45 65 73
Cantor, Georg, results on trigonometric series 12—13
Cantor, Georg, theorem on cardinalities of power sets 44 133
| Cantor, Georg, theory of transfinite numbers 13—15
Carnap, Rudolf 53—51 78 86
Carnap, Rudolf, biographical sketch 322
Carnap, Rudolf, conventionalism 200
Carnap, Rudolf, conversations with KG 55 68
Carnap, Rudolf, emigration 124
Carnap, Rudolf, interest in parapsychology 29
Carnap, Rudolf, lecture at Koenigsberg 69
Carnap, Rudolf, member of Vienna Circle 26—27
Carnap, Rudolf, personality 28
Carnap, Rudolf, quoted 59 60 62 73 77
Cech, Eduard 161
Chamberlain, Houston Stewart 18
Chandnisekhar, Subramanyan 181—185
Characteristica universalis (Leibniz) 166
Chern, S.S. 184n
Chihara, Charles 161—165
Choice, axiom of See Axiom of Choice
Church's thesis 112 327
Church's Thesis, KG's skepticism regarding 99
Church's Thesis, statement 99 322
Church, Alonzo 100 101 106 267 324 327
Church, Alonzo, at Princeton Bicentennial Conference 169—170
Church, Alonzo, biographical sketch 322
Church, Alonzo, correspondence with E.L.Post [321]
Church, Alonzo, correspondence with KG 98—99
Church, Alonzo, formulation of Thesis 99
Church, Alonzo, initial contact with KG 92
Church, Alonzo, notion of -defibability 99 102
Church, Alonzo, reaction to incompleteness theorems 99 [157]
Church, Alonzo, system shown inconsistent 99
Church, Alonzo, tribute to P.J.Cohen 221
Church, Alonzo, undecidability and unsolvability theorems 112
Clebsch, Rudolf 53
Co-analytic set 127n
Cohen's method See method of forcing
Cohen, Paul J. [504] [505]
Cohen, Paul J., awarded Fields Medal 221
Cohen, Paul J., correspondence with KG 223—221
Cohen, Paul J., independence results in set theory 171
Compactness Theorem 60 [287]
Compactness theorem, statement 58
Completeness theorem 54 56 58 67—68
Computational complexity theory 108
Constructibility, Axiom of See Axiom of Counstractibility
Constructible hierarchy 122
Constructible order 133
Constructible relativization 133n
Constructivists 19
Continuum Hypothesis 109 321
Continuum Hypothesis, attempts to decide 48 120
Continuum Hypothesis, independence of 156
Continuum Hypothesis, posed as problem by Hilbert 17
Continuum Hypothesis, relative consistency of 123 126
Continuum Hypothesis, truth value of 175 225 261 268
Continuum Hypothesis, variant forms of 11—15 171.
Courant, Richard 172
Critique of Purr Reason (Kant) 39
Cumulative hierarchy 121—122
Curry, Haskell 131
Daniels, Roger 143
Darwin, Charles 265—266
Das Kontinuum (Weyl) 328
Davis, Martin 101 170 216 226
Decision problem (Entscheidungsproblem) 51 112 127
Dedekind, Richard, correspondence with Cantor 116 118n
Dedekind, Richard, theorem on definition by recursion 45
Dedekind, Richard, theory of irrationals 13
Dehn, Max 149n
Der logische Aufhau der Well (Carnap) 322
Der Mann ohne Eigenschaften (Musil) 12n
Descartes, Rene 24
Deutsche Mathematiker-Vereinigung 322
Deutsches Worterbuch (Weigand) 3
Diagonal method 44 45 65 73
Dialectics 203n 206 321
Die Idee der Riemannschen Flache (Weyl) 327—328
Die Irrengesetzgebung in Deutschland 112
Die Kohlenoxydgasvergiftung 112
Die Naturwissenschaftein 212
Die Philosophic des Als Ob (Vaihinger) 165n
Differentialdiagnostik in der Psychiatrie 112
Dirac, Paul 107
Dirichlel, G.P.L. 53
Dollfuss, Engelbert 90 93 103
Dreben, Burton 57
Dukas, Helen [373]
Dulles, John Foster 208
Dyson, Freeman 176 182
Echols, Robert L. [226]
Eddington, Sir Arthur 107
Edlach, Austria 78
Effi Briest (Fontane) 210
Einleitung in die Mengentehre (Fraenkel) 120
Einstein Awards 194—195
Einstein, AIbert 178 184n
Einstein, AIbert, birthday celebration 183
Einstein, AIbert, death 203—204
Einstein, AIbert, determinism 263
Einstein, AIbert, friendship with KG 27 176—177
Einstein, AIbert, Gibbs lecturer 197
Einstein, AIbert, letters to Roosevelt 242—243
Einstein, AIbert, pacifism 191
Einstein, AIbert, professor at IAS 95
Einstein, AIbert, quip about KG 208—209
Einstein, AIbert, witness for KG 179—180
Eisenhower, Dwight D. 209
Elementary Sets, Axiom of 116 119
Elements (Euclid) 25
Ellentuck, Erik 236—237
Emergency Committee in Aid of Displaced Foreign Scholars 154 159/1
Encyclopedia of Philosophy 82
Entscheidungsproblem See decision problem
Epimenides 38
Erdoes, Paul 154 lfiln
Ergebnisse eines mathematischen Kolloquiums 27
Erkenntnis 322
Eubulides 65
Euclid 225—226 245
Euler, Leonhard [98]
Evangelische Privat- Volks- und Burger- schule See Brno Moravia schools
Extensionality, axiom of 116 119
Fatherland Front 93 103
Federal Bureau ol Investigation 190—191
Federici, Adeline 252
Feferman, Anita Burdman [494]
Feferman, Solomon 55 222 261 264
Feigl, Herbert 26 28 31 68
Fermi, Laura 143
Finite Ramsey theorem 267—268
Finsler, Paul 89—90
First-order logic 50 52
Flexner, Abraham 107 141 221
Flexner, Abraham, correspondence with KG 98 103 108—109 128 137
Flexner, Abraham, efforts on KG's behalf 137 139 144
Flexner, Abraham, first IAS director 91 95 145
Flexner, Abraham, role in founding IAS 94—95
Flexner, Simon 95
Fontane, Theodor 210
Forcing See method of forcing
Ford, Lester R. 173 175
Forever Undecided: A Puzzle Guide to Goedel (Smullyan) 269
Formalism 18—49
Forman, Philip 180
Foundation, axiom of 119
Four Quartets (Eliot) 173
Fourier series 12—43
Fourier, Joseph 12
Fraenkel, Abraham 118—119 328
Frank, Philip 26n 123
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