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Hellman H. Ч Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever
Hellman H. Ч Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever

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Ќазвание: Great Feuds in Mathematics: Ten of the Liveliest Disputes Ever

јвтор: Hellman H.

язык: en

–убрика: ћатематика/

—татус предметного указател€: √отов указатель с номерами страниц

ed2k: ed2k stats

√од издани€: 2006

 оличество страниц: 256

ƒобавлена в каталог: 02.05.2008

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
"Classical" mathematics      182
"Dioptrics" (La Dioptrique) (Descartes)      32 35Ч37 39 40 42 46
"Free mathematics"      139
"Intuitionistic Set Theory" (Brouwer)      189
"Kuhnian revolution"      201Ч202
"Mathematical Creation" (Poincare)      206Ч207 209
"Mathematical insanity"      4
"Meteors" (Les Meteores) (Descartes)      32 35
"Mock Recantation, A" (Horace)      48
"Notorious axiom"      4Ч5 145 See
"On Quadrature" (Newton)      63 69
"On Some Difficulties in the Theory of Transfinite Types and Order Types" (Russell)      166
"On the Cube and First Power Equal to the Number" (Ars Magna)      16Ч17
"On the Unreliability of the Logical Principles" (Brouwer)      188
"War of the Frogs and the Mice"      6 193Ч199
2001 A Space Odyssey (movie)      215
Absolutism      200Ч206 209Ч211
Academia, early practices in      9Ч10
Acta Eruditorum, Bernoulli, Jakob      75 85
Acta Eruditorum, Bernoulli, Johann      80
Acta Eruditorum, Leibniz      59 61 62 64
Acta Mathematica      124 130Ч131 134Ч135
Aczel, Amir D.      121
Advances in Mathematics (Hersh)      213
AJAX      48
Aleph-null $(\aleph_{0})$      125Ч126 131 See Georg" "Zermelo Ernst"
Aleph-one $(\aleph_{1})$      131 143
Algebra      See "Cardano Girolamo" "Sylvester James "Tartaglia"
American Journal of Mathematics      114Ч115 175
Analyse des infiniment petits (L'Hospital)      74 79 88
Analysis with Infinite Series (De Analyst) (Newton)      54
Analytic geometry      26 35 38 40 50 See Rene" "Fermat Pierre
Apollonius      33 39
Arithmetica Infinitorum (Wallis)      53
Ars Conjectandi (Art of Conjecture, The) (Jakob Bernoulli)      85Ч87
Ars Magna or The Rules of Algebra (Cardano)      2Ч3 7Ч8 13Ч19
Ashforth, Albert      101Ч102
Autobiography (Russell)      159Ч160
Axiom of Choice      4Ч5 145 149Ч150 153 See Ernst"
Bacon, Francis      135
Baire, Rene      147Ч149 151
Ballistics, Tartaglia on      12 14
Barner, Klaus      44
Barrow, Isaac      53 54
Barrow, John D.      140 203 205Ч206 210
Barton, Catherine      63
Beaugrand, Jean      30 36 38Ч40 45
Beeckman, Isaac      28Ч29
Begriffsschrift (Frege)      161Ч163
Beitrag (Cantor)      128Ч129
Bell, Eric Temple      43 107
Bell, Eric Temple, on "notorious axiom"      145
Bell, Eric Temple, views on Cantor and Kronecker      122 133 139
Bell, Eric Temple, views on Jakob Bernoulli      81Ч82
Bell, Eric Temple, views on Sylvester      105
Bennett, Charles E.      48
Bernays, Paul      205
Bernoulli's principle      92
Bernoulli's theorem      85Ч87
Bernoulli, Daniel (Johann's son)      74 90Ч93
Bernoulli, Jakob      3 72Ч75
Bernoulli, Jakob, brachistochrone solution and      80Ч84
Bernoulli, Jakob, catenary solution and      76Ч78
Bernoulli, Jakob, death of      85Ч87
Bernoulli, Jakob, Fermat and      50
Bernoulli, Jakob, integral calculus      75
Bernoulli, Jakob, Leibniz and      60
Bernoulli, Jakob, on isoperimetric figures      84Ч85
Bernoulli, Jakob, on probability      85Ч87
Bernoulli, Jakob, relationship to father      78Ч79
Bernoulli, Johann      3 72Ч75
Bernoulli, Johann, brachistochrone solution and      80Ч84
Bernoulli, Johann, brother's death and      85Ч87
Bernoulli, Johann, catenary solution and      76Ч78
Bernoulli, Johann, L'Hospital and      87Ч88
Bernoulli, Johann, Leibniz and      60 61 66
Bernoulli, Johann, on isoperimetric figures      84Ч85
Bernoulli, Johann, on velaria      77Ч78
Bernoulli, Johann, relationship to father      78Ч79
Bernoulli, Johann, relationship to son Daniel      74 90Ч93
Bernoulli, Johann, religious criticism of      88Ч89
Bernoulli, Johann, Taylor and      89Ч90
Bernoulli, Nicholas (Johann's son)      74 86 90Ч92
Bibby, Cyril      112
Bieberbach, Ludwig      187 196
Biquadratic algebraic equations      7
Blumenthal, Otto      194Ч197
Bolyai, Janos      185
Boorstin, Daniel      51
Borel, Emile      4Ч5 145Ч149 151 153 See Ernst"
Born, Max      197
Brachistochrone      60Ч61 80Ч81
Bridgman, Percy W.      207
British Association for the Advancement of Science      96 108Ч114
Brougham, Lord      106
Brouwer, L.E.J.      6 141 155 178 186Ч187
Brouwer, L.E.J., as constructivist      201
Brouwer, L.E.J., early intuitionism and      183Ч184
Brouwer, L.E.J., formalism term coined by      182
Brouwer, L.E.J., Hilbert disagreement and      187Ч193
Brouwer, L.E.J., on Mathematische Annalen editorial board      193Ч199
Bulletin de la Societe Mathematique (Zermelo)      147
Bullialdus, Ismael      86
Burali-Forti, Cesare      169
Cajori, Florian      78
Calculus      51Ч52 See Jakob" "Bernoulli Johann" "Leibniz Wilhelm "Newton Isaac"
Calculus of variations      84
Calculus, Continental European vs. English adherents      59Ч69 72
Calculus, Descartes, Fermat on analytic geometry and      50
Calculus, Newton's, Leibniz's simultaneous development of      52Ч59 70Ч72
Calculus, Principia (Newton) and      52Ч56 59 62
Calinger, Ronald      8
Cambridge University Press      165
Candide (Voltaire)      71
Cantor, Georg      4 116Ч118 203 207 216
Cantor, Georg, Beitrag and      128Ч131
Cantor, Georg, biographical information      122Ч124
Cantor, Georg, continuum hypothesis of      131Ч132 142Ч144
Cantor, Georg, Deutsche Mathematiker-Vereinigung and      135Ч137
Cantor, Georg, legacy of      139Ч141
Cantor, Georg, mental illness of      132Ч135
Cantor, Georg, on set theory      124Ч127
Cantor, Georg, on theory of numbers      123Ч124
Cantor, Georg, paradoxes in set theory of      137Ч139 149Ч155
Cantor, Georg, Poincare's views on      170
Cantor, Georg, well-ordering principle      143 145
Caratheodory, Constantin      194Ч196
Cardano, Aldo (son)      23 24
Cardano, Chiara (daughter)      22 24
Cardano, Giambattista (son)      22Ч23
Cardano, Girolamo      12Ч14
Cardano, Girolamo, alleged promise of secrecy to Tartaglia      17Ч18
Cardano, Girolamo, Ars Magna      2Ч3 7Ч8 13Ч19
Cardano, Girolamo, Descartes and      33Ч34
Cardano, Girolamo, Morley's views on      12
Cardano, Girolamo, on cubic equations      16Ч17
Cardano, Girolamo, Practica Arithmeticae Generalis      15
Cardano, Girolamo, Tartaglia's views on      20Ч24
Cartesian coordinate system      26Ч27 33Ч35
Cassirer, Ernst      51
Catenary curve      76Ч78
Catholic Church      28 30 37
Cavalieri, Francisco Bonaventura      64
Cayley, Arthur      106
Charraud, Nathalie      135
Charta Volans (Leibniz)      66
Church of England      104Ч105
Cicero      47
Clarke, Arthur C.      215
Class, defined      157
Clerselier, Claude      45Ч49
Cohen, Paul J.      154Ч155
Collins, John      57 70
Collins, Randall      141
Commercium Epistolicum (Newton)      66 67 69
Compositio Mathematica      198
Comte, Auguste      102
Consistency, of a mathematical theory      150
Constructivism      201 See
Continuum Hypothesis      131Ч132 149Ч150 See Georg" "Zermelo Ernst"
Continuum, The (Weyl)      189
Coolidge, J.L.      33
Copernicus      8 28 30
Courant, Richard      196 198
Couturat, Louis      169 172
Crelle's Journal      119 127Ч130
Crelle, August Leopold      119
Cubic algebraic equations      7Ч9 16Ч17
Cycloid      60
D'Avalos, Alphonso, Marchese del Vasto      14Ч15
da Vinci, Leonardo      12 75
Darwin, Charles      95 100
Dauben, Joseph W.      117 141 154 207
de Morgan, Augustus      67Ч68 104 105
Dedekind, Richard      119 123 125Ч128 140
del Ferro, Scipione      9Ч10 19
della Nave, Annibale      10 18
Depressed cubic equation      9 11 15 19
Desargues, Girard      40
Descartes, Rene      8 27Ч31
Descartes, Rene, "Dioptrics" (La Dioptrique)      32 35Ч37 39 40 42 46
Descartes, Rene, "Geometry"      32Ч36 40 42 44 45 50
Descartes, Rene, "Meteors"      32
Descartes, Rene, Discourse on Method      26 30 31Ч36 39
Descartes, Rene, Fermat's criticism of      36Ч38 41Ч43 45Ч49
Descartes, Rene, legacy of      26Ч27 44Ч45 49Ч50
Descartes, Rene, Principles of Philosophy      37
Descartes, Rene, response to Fermat's criticism      39Ч43
Desmond, Adrian      94 96 112
Detlefsen, Michael      178
Deutsche Mathematiker-Vereinigung (DMV)      135Ч137 143Ч144
Diagonalization method      136
Dialogues Concerning Two Mew Sciences (Galileo)      124Ч125
Differential calculus      7 52Ч54 58 93
Dirichlet, P.G. Lejeune      118
Discourse on Method (Descartes)      26 30Ч36 39
Disquisitiones Arithmeticae (Gauss)      123
Donatus      38
Duillier, J.C. Fatio de      74
Duillier, Nicolas Fatio      61Ч62
Dunham, William      16
Education      211Ч213
Education, mathematics promoted in U.S.      105Ч106 114Ч115
Education, science vs. mathematics, Huxley vs. Sylvester on      94Ч99 108Ч114 214
Edward VI, king of England      13
Edwards, Harold M.      140 141
Einstein, Albert      6 184 194 195 197 198
Emperor's New Mind, The (Penrose)      210Ч211
Encyclopaedia Britannica      78
Ennius      38
Equal-time problem      75
Equiangular spiral      87
Ernest, Paul      201 208Ч209 212Ч214
Euclid      33
Euclid, Hilbert's views on      185
Euclid, on whole as greater than part      116 125
Euclid, parallel postulate      147
Eudoxus of Cnidus      216
Euler, Leonhard      74 83 85 91 92
Evolutionary theory      95 100
Exercitationes Mathematicae (Daniel Bernoulli)      90
Fallibilism      200Ч203 206Ч211
Fellman, E.A.      84
Fermat, Pierre de      27 38Ч39 See Rene"
Fermat, Pierre de, characteristics of      43Ч44
Fermat, Pierre de, criticism of Descartes by      36Ч38 41Ч43 45Ч49
Fermat, Pierre de, Descartes' response to      39Ч43
Fermat, Pierre de, last theorem of      41
Fermat, Pierre de, least time principle      48 50 80
Fermat, Pierre de, legacy of      49Ч50
Fermat, Pierre de, letters to Clerselier from      45Ч49
Fermat, Pierre de, on maxima/minima      52
Ferrari, Ludovico      16 18 20Ч21
Fior, Antonio Maria      10 11 19
Fleckenstein, J.O.      84
FLUENT      54
Fluxional notation      54 59Ч62 64 69 93
Fontana, Niccolo      10Ч11 See
Formalism      6 155 181Ч184 191 198Ч199 See David"
Fortnightly Review      95 102Ч103
Foundations of Geometry (Grundlagen der Geometrie) (Hilbert)      149 180 185
Fraenkel, Abraham Adolph      153
Frege, Gottlob      161Ч163
French Academy of Sciences      63Ч64 107
Friederich, Karl      117
Galileo      30 37 53 80 124Ч125
Galton, Francis      92
Gambling, Cardano on      13
Gassendi, Pierre      30
Gaukroger, Stephen      31
Gauss, Carl Friedrich      110 123 185
Gentzen, Gerhard      191
Geological theory, uniformitarianism in      100Ч102
Geometry      185 See Rene" "Fermat Pierre "Hilbert David"
Geometry (Descartes)      32Ч36 40 42 44 45 50
Geostatics (Beaugrand)      36
Goedel, Kurt      154 198Ч199 202 204 205 208 216
Gregory, James      53 64 90
Groningen      80 88Ч89
Grosholz, Emily R.      35
Grundgesetze der Arithmetik (Frege)      162 163
Grundlagen der Arithmetik (Frege)      162
Grundlagen der Geometrie (Hilbert)      149 180 185
Hadamard, Jacques      147Ч149 151 152 204
Hall, Rupert      64
Halley, Edmund      55
Hamilton, Archbishop John      24
Hardy, G.H.      204
Harriot, Thomas      45
Heine, Eduard      123Ч124 132
Heliocentric theory      28 30
Hermite, Charles      204 209
Hersh, Reuben      6 213
Heyting, Arend      192
Hilbert, David      6 117 140 155 184Ч186 207
Hilbert, David, Brouwer disagreement and      187Ч193
Hilbert, David, early formalism and      181Ч184
Hilbert, David, on axiomization of set theory      149Ч150
Hilbert, David, on continuum hypothesis      142
Hilbert, David, on Mathematische Annalen editorial board      193Ч199
Hirst, Thomas Archer      108
History and Origin of the Differential Calculus (Leibniz)      66
Hobbes, Thomas      38
Hofmann, J.E.      79
Hollingdale, Stuart      83
Hooke, Robert      55 63
Hooker, Joseph Dalton      95
Horace      48
Hulsius, Paulus      89
Husserl, Edmund      144
Huxley, Thomas Henry      3Ч4 182
Huxley, Thomas Henry, at Johns Hopkins University      114
Huxley, Thomas Henry, biographical information      96Ч97
Huxley, Thomas Henry, on evolutionary theory      100
Huxley, Thomas Henry, on importance of science over mathematics      94Ч99
Huxley, Thomas Henry, on Positivist philosophy      102Ч103
Huxley, Thomas Henry, on uniformitarian theory      100Ч102
Huxley, Thomas Henry, Sylvester's speech to British Association speech and      96 108Ч114
Huygens, Christiaan      55 61 75 76 83
Hydraulica (Johann Bernoulli)      92
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