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



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

Àâòîð: Hellman H.

ßçûê: en

Ðóáðèêà: Ìàòåìàòèêà/

Ñòàòóñ ïðåäìåòíîãî óêàçàòåëÿ: Ãîòîâ óêàçàòåëü ñ íîìåðàìè ñòðàíèö

ed2k: ed2k stats

Ãîä èçäàíèÿ: 2006

Êîëè÷åñòâî ñòðàíèö: 256

Äîáàâëåíà â êàòàëîã: 02.05.2008

Îïåðàöèè: Ïîëîæèòü íà ïîëêó | Ñêîïèðîâàòü ññûëêó äëÿ ôîðóìà | Ñêîïèðîâàòü ID
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Ïðåäìåòíûé óêàçàòåëü
Hydrodynamica (Daniel Bernoulli)      91—92
Incompleteness theory      154—155 202 204 208
infinity      4—5 116—118 169 174 See Georg" "Set
Integral calculus      58 59 75
International Congress of Mathematicians, First (1897)      137
International Congress of Mathematicians, Second (1900)      142 164 181
International Congress of Mathematicians, Third (1904)      144 145 181
Introduction to Mathematical Philosophy (Whitehead)      180
Intuitionism      6 155 169 183—184 191—192 198—199 217 See L.E.J." "Kronecker Leopold" "Poincare Jules "Weyl Hermann"
Isochrone      75 83
Jahresbericht (Annual Report) of the DMV      137
Jesus, Cardano's horoscope for      13 22 24
Johns Hopkins University      114—115
Journal for Pure and Applied Mathematics      See "Crelle's Journal"
Journal Literaire de la Haye      66
Journey through Genius (Dunham)      16
Kant, Immanuel      201 206
Kasner, Edward      207
Keill, John      52 64—65
Kelvin, Lord (Thomson, William)      101—103
Klein, Felix      123 193
Kline, Morris      2 216—217
Kline, Morris, on absolutism vs. fallibilism      203—205
Kline, Morris, on Ars Magna (Cardano)      8
Kline, Morris, on axiom of choice      153
Kline, Morris, on Cantor and Kronecker      129 140—141
Kline, Morris, on Jakob Bernoulli      82
Kline, Morris, on Poincare      169
Kline, Morris, on Russell      177
Koenig, Jules      144
Kowalevsky, Sonya      120—121 134
Kronecker, Leopold      4 5 117—119 185—186 See Georg"
Kronecker, Leopold, biographical information      118—121
Kronecker, Leopold, death of      137
Kronecker, Leopold, Deutsche Mathematiker-Vereinigung invitation to      135—137
Kronecker, Leopold, legacy of      139—141
Kronecker, Leopold, on Cantor's set theory      127 128—131 133—134
L'Hospital, Guillaume Francois      74 79 87—88
Lagrange, Joseph-Louis      83 85 109—110
Lakatos, Imre      208
Laplace, Pierre Simon      67
Latham, Marcia L.      26
Law of refraction      32 36—38 48
Lebesgue, H.      147—149 151 152
Lecons sur la theorie des fonctions (Borel)      146
Lectures on Ten British Mathematicians of the Nineteenth Century (MacFarlane)      112
Leibniz, Wilhelm Gottfried      3 51—52 216 See Isaac"
Leibniz, Wilhelm Gottfried, Bernoullis and      73—74 83 87
Leibniz, Wilhelm Gottfried, biographical information      56—58
Leibniz, Wilhelm Gottfried, concept of space and time      67
Leibniz, Wilhelm Gottfried, death of      93
Leibniz, Wilhelm Gottfried, on calculus      58—59
Leibniz, Wilhelm Gottfried, on catenary      76
Lemniscate of Bernoulli      79
Life of Virgil (Donatus)      38
Life, Art and Mysticism (Brouwer)      186
Limitation-of-size theory      166 172
Lindemann, Ferdinand      119—120
Liouville, Joseph      127
Lobachevsky, Nikolai      185
Logicism      5 155 162—164 180 187 See Bertrand "Whitehead Alfred
London Mathematical Society      107 166 169
Macfarlane, Alexander      112
Macmillan's Magazine      95
Maddy, Penelope      151
Mahoney, Michael Sean      27 37 40 43—46
Mannichfaltigkeitslehre (Cantor)      161
Mary, queen of Scots      24
Mathematical theory, defined      150
Mathematician's Apology, A (Hardy)      204
Mathematics      See also individual names of mathematicians
Mathematics Magazine      199
Mathematics The Loss of Certainty (Kline)      2
Mathematics, absolutism in      203—206 209—211
Mathematics, absolutism vs. fallibilism      200—203
Mathematics, education      105—106 108—114 211—213
Mathematics, fallibilism in      206—211
Mathematics, Russell on      1—2
Mathematics, teaching vs. philosophy of      213—214
Mathematische Annalen      137 146 193—199
Mathesis universalis      29
Matrix concept      107
Maxima/minima      37—38 42 43 49 52 84
Mersenne, Marin      30—31 35 37—43 45
Method of Fluxions and Infinite Series (Newton)      69
Methodus Incrementorum (Taylor)      85 89
Minkowski, Hermann      184
Mirabilis scientiae fundamenta      29
Mittag-Leffler, Goesta      123 124 130 132 134 136—137 140
Monde, Le (The World) (Descartes)      30 37
Montmort, Pierre Remond de      76 89
Moore, Gregory H.      149 152
Morley, Henry      11—12
Mydorge, Claude      40
National Council of Teachers of Mathematics (NCTM)      211
New Problems and Inventions (Quesiti et Inventioni Diverse) (Tartaglia)      18 20
Newman, James R.      90 107 167 207
Newton, Isaac      3 51—52 204
Newton, Isaac, biographical information      52—54
Newton, Isaac, concept of space and time      67
Newton, Isaac, death of      93
Newton, Isaac, on fluxion, fluent      53—54
Newton, Isaac, Opticks      55 63 64
Newton, Isaac, Principia (Mathematical Principles of Natural Philosophy)      55—56 59 62
Newton, Isaac, Taylor and      89
Nicholson, J.D.      46
Nightingale, Florence      106
No-classes theory      157—159 166 172—174
Nordmann, Charles      159
Notation, dot      58—59 61 69
Notation, fluxional      54 59—62 64 69 93
Nova Scientia (Tartaglia)      12
Number theory      116 See Georg"
Number theory, Cantor on      123—124
Number theory, Fermat and      50
Number theory, formalism and      191—192
O'Connor, J.J.      82
Oldenberg, Henry      57
On the Foundations of Mathematics (Brouwer)      187
On the Revolutions of the Heavenly Spheres (Copernicus)      8
On the Structure of the Human Body (Vesalius)      8
Opticks (Newton)      55 63 64
Optics      See also "Newton Isaac"
Optics, "Dioptrics" (La Dioptrtque) (Descartes)      32 35—37 39 40 42 46
Optics, Bernoullis and      91
Optics, Fermat on      49 50
Ore, Oystein      10 12—13 15 17
Pacioli, Luca      9
Painleve, Paul      194
Pall Mall Review      101
Pappus      33 35 39
Paradis, James G.      98
Paradoxes      See "Set theory"
Paris Academy of Sciences      85
Parshall, Karen H.      105—107
Pascal, Blaise      30 40 41 45
Peano, Giuseppi      164 172 173 185
Penrose, Roger      210
Pepin, Birgit      213—214
Petit, Pierre      38
Philosophical Magazine      105
Philosophical Transactions of the Royal Society of London      55 65
Philosophy of Mathematics Education      201
Pi in the Sky (Barrow)      140
Planck, Max      144
Plato      203 205
Platonists      205—206 See
Poincare, Jules Henri      5 141 153 182 206—207 209 See Bertrand
Poincare, Jules Henri, biographical information      167—169
Poincare, Jules Henri, Brouwer's views on      187
Poincare, Jules Henri, death of      159 176
Poincare, Jules Henri, Russell criticized by      170—176
Poincare, Jules Henri, Russell's response      173—174
Positivist philosophy      102
Practica Arithmeticae Generalis (Cardano)      15
Principia (Mathematical Principles of Natural Philosophy) (Newton)      55—56 59 62
Principia Mathematica (Principles of Mathematics) (Russell, Whitehead)      152—153 160 163 165—166 176—178 180
Principle of least time      48 50 80
Principle of the excluded middle (PEM)      188—190
Principles of Mathematics (Russell)      160 165—166 176—178
Principles of Philosophy (Descartes)      37
Probability, Jakob Bernoulli on      85—87
Proofs and Refutations (Lakatos)      208
Quarterly Journal of Pure and Applied Mathematics      107
Quesiti et Inventioni Diverse (New Problems and Inventions) (Tartaglia)      18 20
Ramsey, F.P.      157
Rational numbers, defined      126
Real numbers, defined      126
Realism in Mathematics (Maddy)      151
Reid, Constance      184
Religion, Bell on Cantor and Kronecker and      122
Religion, Cantor and      122 135—136
Religion, Cardano's horoscope for Jesus      13 22 24
Religion, Catholic Church      28 30 37
Religion, Church of England      104—105
Religion, Johann Bernoulli and      88—89
Religion, Sylvester and      104—106
Restivo, Sal      141
Revolutionibus, De (Copernicus)      28
Revue de metaphysique et de morale      170 173—174
Riemann, Bernhard      110 185 192 194
Robertson, E.F.      82
Roberval, Gilles Personne de      30 38—41 43 45
Rohault, Jacques      46
Roulet, Geoffrey      214
Rouse Ball, W.W.      43 77
Royal Society      61 63 65 68 106
Royal Society, Cantor and      144
Royal Society, Russell and      165 166 172
Royal Society, Sylvester and      106 107
Rules of Algebra, The (Cardano)      See "Ars Magna or The Rules of Algebra (Cardano)"
Rummer, Ernst Eduard      118 119 121
Russell, Bertrand A.W.      1—2 5 155 209—210 216 See Georg"
Russell, Bertrand A.W., "On Some Difficulties in the Theory of Transfinite Types and Order Types"      166 172
Russell, Bertrand A.W., biographical information      159—162
Russell, Bertrand A.W., logicism and      162—164
Russell, Bertrand A.W., on aleph-null      146—147
Russell, Bertrand A.W., paradox of      138 149 156—159 166
Russell, Bertrand A.W., Poincare's criticism of      167—176
Russell, Bertrand A.W., Principia Mathematica (Principles of Mathematics)      152—153 160 163 165—166 176—178 180
Sabra, A.I.      48—49
Sacco, Bartolomeo      22
Schoenfeld, Alan H.      213
Schwarz, Hermann Amandus      121 123 130 144
Science, mathematics vs      94—99 108—114 214 See Thomas "Sylvester James
Scott, J.F.      38
Set theory      4—5 116—118 See Georg"
Set theory, Cantor on      124—127
Set theory, paradoxes in      137—139
Set theory, Poincare on paradoxes of      166 170—173
Set theory, Russell's paradox of      138 149 156—159 166
Set, defined      124
Shakespeare, William      135
Shea, William R.      38
Short Account of the History of Mathematics, A (Rouse Ball)      43
Sierksma, Gerard      88
Simpson, Stephen G.      186
Sine law      32 48—49 80
Sloane, Hans      65
Smith, David E.      26 82—83
Smith, Henry John Stephen      95
Snapper, Ernst      199 217
Spanish Inquisition      23—24 30 37
Springer, Ferdinand      196
Sylvester, James Joseph      3—4 119 See Thomas
Sylvester, James Joseph, at Johns Hopkins University      114—115
Sylvester, James Joseph, biographical information      103—108
Sylvester, James Joseph, British Association speech by      96 108—114
Symbolism, Descartes and      35
Symbolism, dot notation by Newton      58—59 61 69
Symbolism, Hilbert and      182
Symbolism, Leibniz and      58—59
tangents      40 42 43
Tartaglia (Niccolo Fontana)      10—12
Tartaglia (Niccolo Fontana), Ars Magna (Cardano) and      7 8 14—16
Tartaglia (Niccolo Fontana), Nova Scientia      12
Tartaglia (Niccolo Fontana), on cubic equations      16—17
Tartaglia (Niccolo Fontana), views on Cardano      20—24
Tautochrone      75 83—84
Taylor series      90
Taylor, Brook      85 89—90
Theory of equations      34—35
Theory of invariants      107
Thermodynamics      101
Thiele, Rudiger      78
Thom, Rene      201 214
Thomson, William (Lord Kelvin)      102—103
Toulouse, E.      168
Transcendental numbers      119—120
Transfinite set theory      137 138 207 See Georg"
Tyndall, John      101
Ulysses      48
Uniformitarian theory      100—102
United States, mathematics promoted in      105—106 114—115
University of Basel      73 80 87 91
University of Gottingen      118 119
University of Gottingen, Cantor and      123
University of Gottingen, Hilbert and      184 195
University of Gottingen, Zermelo and      144 145
University of Halle      123—124 129 132 136
University of Virginia      105
van Dalen, Dirk      183—184 186—187 191 194 197 198
Van der Waerden, Bartel L.      189 198
van Schooten, Frans      43 44
Varignon, Pierre      85
Velaria curve      77—78
Vico, Giambattista      209
Viete, Francois      8 34 39 45 50
Virgil      38
Voltaire      71
Wallis, John      45 53 59—62 69
Ward, James      161
Weak law of large numbers      85—87
Weierstrass, Karl Theodor      118—121 123 128 129 140
Well-ordering principle      143 145 150—155 See
Weyl, Hermann      155 184—185 189—192
Whitehead, Alfred North, Introduction to Mathematical Philosophy      180
Whitehead, Alfred North, logicism and      155
Whitehead, Alfred North, Principia Mathematica (Principles of Mathematics)      152—153 157 160 163 165—166 176—178
Wilberforce, Samuel (bishop of Oxford)      100
Works (Wallis)      60—62 69
World of Mathematics, The (Newman)      107
World, The (Le Monde) (Descartes)      37
Wu, H.      211—212
Wykes, Alan      18 20 23
X Club      108
Zermelo's Axiom of Choice (Moore)      149
Zermelo, Ernst Friedrich Ferdinand      4—5 184
Zermelo, Ernst Friedrich Ferdinand, biographical information      144—145
Zermelo, Ernst Friedrich Ferdinand, Borel's criticism of      146—149
Zermelo, Ernst Friedrich Ferdinand, Cantor's well-ordering principle and      142—144
Zermelo, Ernst Friedrich Ferdinand, on axiom of choice      145
Zermelo, Ernst Friedrich Ferdinand, on axiomatization of set theory      149—152
Zermelo, Ernst Friedrich Ferdinand, paradoxes      152—155 See Bertrand
Zero, concept of      16
Zigzag theory      166 171—172
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