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Colyvan M. Ч The Indispensability of Mathematics
Colyvan M. Ч The Indispensability of Mathematics



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Ќазвание: The Indispensability of Mathematics

јвтор: Colyvan M.

јннотаци€:

The Quine-Putnam indispensability argument in the philosophy of mathematics urges us to place mathematical entities on the same ontological footing as other theoretical entities essential to our best scientific theories. Recently, the argument has come under serious scrutiny, with many influential philosophers unconvinced of its cogency. This book not only outlines the indispensability argument in considerable detail but also defends it against various challenges.


язык: en

–убрика: ћатематика/

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

ed2k: ed2k stats

√од издани€: 2001

 оличество страниц: 183

ƒобавлена в каталог: 07.09.2014

ќперации: ѕоложить на полку | —копировать ссылку дл€ форума | —копировать ID
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ѕредметный указатель
Abel      109
Adams      43
Ahlfors      81n
Analytic/synthetic distinction      27Ч28
Anti-matter      6n 83
Anti-realism      see "Nominalism"
Aristotle      27 29
Armstrong      39
Armstrong abstract objects      22 22n
Armstrong Eleatic Principle      45 45Ч46 63 64 64n
Armstrong naturalism      22 32Ч33
Armstrong numbers as universals      142
Arnowitt      48n
Axiom of constructibility      95 112Ч113
Azzouni      58 61Ч62 63n 99n 108n
Balaguer      58 58Ч60 154n
Bartnik      48n
Benacerraf      19
Benacerraf epistemology      1 151Ч154
Benacerraf indeterminacy      1 148Ч150
Benacerraf parsimony      142
Benacerraf reductions      142n
Benacerraf semantics      16
Bigelow      45n
Bigelow causal mathematical entities      4 154n
Bigelow numbers as universals      142
Bigelow problems with indispensability      119Ч122
Boldness of theories      79
Boolos      148
Burgess      87n 154n
Campbell      40
Cantor      95
Cardan      104
Carnap      36
Cartwright      8 53 55Ч57
Casullo      120n
Cauchy      81
Causal relevance      51Ч53
Causation      46 144Ч146
Caused theory of knowledge      43 45 151 151n 152
Chase      121n
Cheyne      124n
Cheyne Eleatic Principle      48Ч45
Cheyne indispensability      143Ч147
Chihara      67 67n 96n
complex numbers      81Ч83 104Ч105
Confirmation theory      78
Conservativeness      70 69Ч72
Constructive mathematics      129n
Continuum Hypothesis      95
Correspondence theory of truth      151
Craig      77 88
Dark matter      8
Darwin      27
Delta function      103 104
Descartes      85n 89n 104
Deser      48n
Design arguments      7
Devlin      95n
Dirac      6n 83Ч84 103 104
Dretske      52
Duhem      34 34n 35 55
Dummett      2Ч3 8 148
Dyson      80n
Eddington      124
Einstein      27 47 48 50 78 85 86n 110
Einstein thought experiments      30Ч31
Eleatic Principle      32 40
Elegance      79
Ellis      39 41 53 54Ч55
Empiricism, constructive      126
Empiricism, contrastive      126Ч127
Empiricism, mathematical      115
Euclid      125
Euclidean rescue      125
Euler      104
Evolutionary theory      7 111n 127
Exclusion principle      84
Explanation      46
Explanation as unification      46n 79 137
Explanation, causal      45Ч46 144 144n
Explanation, inference to the best      8 53Ч57
Explanation, intrinsic      69 88
Explanation, non-causal      47Ч51
Explanatory power      79
Fermat's last theorem      2 2n
Feynman      84n 96n 102
Fictionalism      4Ч5
Field      4 39 41 118
Field, conservativeness      69 70Ч72 122 124
Field, consistency      70 135
Field, contingency      116 135Ч140
Field, critics of      74Ч75
Field, entailment      70
Field, epistemology      152Ч153
Field, fictionalism      5 67Ч68 117
Field, indispensability      1 6 18 67Ч68 94n 141
Field, insularity      139
Field, motivation for nominalism      68Ч69
Field, nominalisation      69 72Ч74 125 143 146
Field, parsimony      149
Field, Platonistic methods      69Ч70
Field, representation theorem      74
Field, virtues of nominalism      88Ч89
Fitzgerald      50Ч52 85 86
Fodor      34
Formalism      9
Forrest      45n 142
Foucault      123
FRAIL      44
Frege      13 15n 115 118 128 148 149
Frege indispensability      8Ч9
Galileo      28Ч30
Galle      43
Gauss      47 104
Gettier      151n
Glymour      78n
Gnomon      119
Goedel      3 13 95 122
Goedel indispensability      9
Gosse      127 129
Hacking      40n 56
Hale      15n 116 135Ч140
Hardy      105
Hart      152
Heisenberg      109
Hellman      129Ч134
Hellman modal structuralism      142
Hempel      78n
hilbert      72Ч74 88 88n
Holism      12 33Ч37
Holism, confirmational      34Ч37
Holism, moderate      see "Holism semantic"
Holism, semantic      33
Horwich      78n
Inaccessible numbers      93 94n
Indispensability argument, general      6
Indispensability argument, pragmatic      13Ч15 101n
Indispensability argument, Quine/Putnam      11
Indispensability argument, scientific      7
Indispensability argument, semantic      15Ч17
Infinitesimals      103 104
Insularity      138
Jackson      29 31 51Ч53 118n
Kant      27 120
Kepler      27
Kitcher      46n 79 137Ч138
Kripke      135n
Lakatos      35Ч36
Lebesgue      95 109
Lepore      34
Leverrier      43
Lewis mereology      142
Lewis modal realism      41n 155Ч156
Lewis non-causal explanation      47n
Lewis rejecting mathematics      33
Lie groups      6
Likelihood principle      126
Linsky      15 16n 129n 154n
Lorentz      50Ч52 85Ч86
Maddy      3
Maddy epistemology      151n 152
Maddy indispensability      94Ч95
Maddy mathematical fictions      92Ч93 101Ч105
Maddy mathematical practice      93Ч96 105Ч111
Maddy naturalism      96Ч98 106Ч107
Maddy problems with indispensability      18 67 90 91-113 141
Maddy scientific fictions      91Ч92 99Ч101
Maddy set theoretic realism      4 5 154n
Maddy, V = L      95 112Ч113
Maxwell      85 86
Meinong      15n
Mendeleeff      44Ч45 57
Mereology      142
Michelson      78 85
Mill      115
Minkowski      48 50Ч51
Misner      48n
Moore's paradox      14
Morley      78 85
Musgrave      63n 116 122Ч126
naturalism      12 21 96Ч98
Naturalism, causal      32Ч33
Naturalism, rubber-stamp      97
Naturalism, set theoretic      112
Newton      27 79 85 104 110 123Ч125 128Ч130
Nominalism      4
Nominalism, contingent      135
Ockham's razor      45 142 149 155
Oddie      32 40 45
Ostwald      92 101
Papineau      21 75n 81
Pargetter      119n
Parsimony      78
Parsons      116Ч119 125
Pauli      84
Peano      122 135
Pettit      51Ч53
Pigden      124n 143Ч147
Plato      32
Platonism      see "Realism mathematical"
Platonism contingent      135
Poincare      86n 92 100Ч101
Popper      122 123
Possible worlds, reality of      see "Realism modal"
Priest      27
Ptolemy      27 125
Putnam      27 31n
Putnam, goals of science      11
Putnam, indispensability      10Ч11 13 55n
Putnam, intellectual dishonesty      10Ч11 99
Putnam, modal structuralism      3 142
Putnam, realism      2Ч3
Putnam, twin earth      29
Pythagoras      27
quantum mechanics      6 6n 47 84 103
Quine      78n 118
Quine a priori      27Ч28 120n
Quine confirmational holism      34Ч37
Quine continuity thesis      24
Quine desert landscapes      142n
Quine epistemology      154n
Quine first philosophy      23
Quine indispensability      1 9Ч13
Quine limit myths      99n
Quine mathematical recreation      107
Quine minimum mutilation      110 112 125Ч126
Quine modality      124
Quine naturalism      12Ч13 18 22 22Ч26 96Ч98 106Ч107
Quine ontic commitments      23 39 64
Quine parsimony      149
Quine quantification      76n
Quine semantic holism      33Ч34
Quine sets      142
Quine unapplied mathematics      93Ч94 107
Quine web of belief      117
Quine, V = L      95n 112Ч113
Quine/Duhem Thesis      see "Holism confirmational"
Realism, mathematical      2Ч4
Realism, metaphysical      2
Realism, modal      41n 155Ч156
Realism, selective      25n 40
Realism, semantic      2
Realism, set theoretic      4 5
Relativity      146
Relativity, general      47 124
Relativity, principle of      86
Relativity, special      30 50 78 84Ч86
Resnik      88n 106n 125
Resnik indispensability      13Ч15 101n
Resnik patterns      142
Resnik scope of theories      110Ч111 112
Resnik structuralism      150n
Riskin      109
Rosen      154 154n
Russell      17 22n 148 149
Schroedinger      84
Schwarzchild      48n
Shapiro      88n 142
simplicity      78
SMART      8n 46n 154n
Sober      67 116 121n 126Ч134 141
Spillane      48n
Steiner      83n 151n
Structuralism      5 88n 142 149 150 150n
Surdon      138
Tarski      16
Theoretic virtues      78Ч79
Thought experiments      26 29Ч31
Truth by convention      36
Uncertainty principle      109
Unification      81 83
Unificatory power      79
van Fraassen      8 23 55 56 126 127
von Neumann      1n 5 150
Wagner      15n 16Ч17
Weinberg      78n
Whittaker      86n
Wigner      6 87
Williams      22n
Winckler      44Ч45
Wolszcan      44
Wright      15n 116 135Ч140 143
Zalta      15n 154n
Zermelo      1n 5 150
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