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| Ïîèñê ïî óêàçàòåëÿì |
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| Colyvan M. — The Indispensability of Mathematics |
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| Ïðåäìåòíûé óêàçàòåëü |
Abel 109
Adams 43
Ahlfors 81n
Analytic/synthetic distinction 27—28
Anti-matter 6n 83
Anti-realism see "Nominalism"
Aristotle 27 29
Armstrong 39
Armstrong abstract objects 22 22n
Armstrong Eleatic Principle 45 45—46 63 64 64n
Armstrong naturalism 22 32—33
Armstrong numbers as universals 142
Arnowitt 48n
Axiom of constructibility 95 112—113
Azzouni 58 61—62 63n 99n 108n
Balaguer 58 58—60 154n
Bartnik 48n
Benacerraf 19
Benacerraf epistemology 1 151—154
Benacerraf indeterminacy 1 148—150
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 119—122
Boldness of theories 79
Boolos 148
Burgess 87n 154n
Campbell 40
Cantor 95
Cardan 104
Carnap 36
Cartwright 8 53 55—57
Casullo 120n
Cauchy 81
Causal relevance 51—53
Causation 46 144—146
Caused theory of knowledge 43 45 151 151n 152
Chase 121n
Cheyne 124n
Cheyne Eleatic Principle 48—45
Cheyne indispensability 143—147
Chihara 67 67n 96n
complex numbers 81—83 104—105
Confirmation theory 78
Conservativeness 70 69—72
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 83—84 103 104
Dretske 52
Duhem 34 34n 35 55
Dummett 2—3 8 148
Dyson 80n
Eddington 124
Einstein 27 47 48 50 78 85 86n 110
Einstein thought experiments 30—31
Eleatic Principle 32 40
Elegance 79
Ellis 39 41 53 54—55
Empiricism, constructive 126
Empiricism, contrastive 126—127
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 45—46 144 144n
Explanation, inference to the best 8 53—57
Explanation, intrinsic 69 88
Explanation, non-causal 47—51
Explanatory power 79
Fermat's last theorem 2 2n
Feynman 84n 96n 102
Fictionalism 4—5
Field 4 39 41 118
Field, conservativeness 69 70—72 122 124
Field, consistency 70 135
Field, contingency 116 135—140
Field, critics of 74—75
Field, entailment 70
Field, epistemology 152—153
Field, fictionalism 5 67—68 117
Field, indispensability 1 6 18 67—68 94n 141
Field, insularity 139
Field, motivation for nominalism 68—69
Field, nominalisation 69 72—74 125 143 146
Field, parsimony 149
Field, Platonistic methods 69—70
Field, representation theorem 74
Field, virtues of nominalism 88—89
Fitzgerald 50—52 85 86
Fodor 34
Formalism 9
Forrest 45n 142
Foucault 123
FRAIL 44
Frege 13 15n 115 118 128 148 149
Frege indispensability 8—9
Galileo 28—30
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 116 135—140
Hardy 105
Hart 152
Heisenberg 109
Hellman 129—134
Hellman modal structuralism 142
Hempel 78n
hilbert 72—74 88 88n
Holism 12 33—37
Holism, confirmational 34—37
Holism, moderate see "Holism semantic"
Holism, semantic 33
Horwich 78n
Inaccessible numbers 93 94n
Indispensability argument, general 6
Indispensability argument, pragmatic 13—15 101n
Indispensability argument, Quine/Putnam 11
Indispensability argument, scientific 7
Indispensability argument, semantic 15—17
Infinitesimals 103 104
| Insularity 138
Jackson 29 31 51—53 118n
Kant 27 120
Kepler 27
Kitcher 46n 79 137—138
Kripke 135n
Lakatos 35—36
Lebesgue 95 109
Lepore 34
Leverrier 43
Lewis mereology 142
Lewis modal realism 41n 155—156
Lewis non-causal explanation 47n
Lewis rejecting mathematics 33
Lie groups 6
Likelihood principle 126
Linsky 15 16n 129n 154n
Lorentz 50—52 85—86
Maddy 3
Maddy epistemology 151n 152
Maddy indispensability 94—95
Maddy mathematical fictions 92—93 101—105
Maddy mathematical practice 93—96 105—111
Maddy naturalism 96—98 106—107
Maddy problems with indispensability 18 67 90 91-113 141
Maddy scientific fictions 91—92 99—101
Maddy set theoretic realism 4 5 154n
Maddy, V = L 95 112—113
Maxwell 85 86
Meinong 15n
Mendeleeff 44—45 57
Mereology 142
Michelson 78 85
Mill 115
Minkowski 48 50—51
Misner 48n
Moore's paradox 14
Morley 78 85
Musgrave 63n 116 122—126
naturalism 12 21 96—98
Naturalism, causal 32—33
Naturalism, rubber-stamp 97
Naturalism, set theoretic 112
Newton 27 79 85 104 110 123—125 128—130
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 116—119 125
Pauli 84
Peano 122 135
Pettit 51—53
Pigden 124n 143—147
Plato 32
Platonism see "Realism mathematical"
Platonism contingent 135
Poincare 86n 92 100—101
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 10—11 13 55n
Putnam, intellectual dishonesty 10—11 99
Putnam, modal structuralism 3 142
Putnam, realism 2—3
Putnam, twin earth 29
Pythagoras 27
quantum mechanics 6 6n 47 84 103
Quine 78n 118
Quine a priori 27—28 120n
Quine confirmational holism 34—37
Quine continuity thesis 24
Quine desert landscapes 142n
Quine epistemology 154n
Quine first philosophy 23
Quine indispensability 1 9—13
Quine limit myths 99n
Quine mathematical recreation 107
Quine minimum mutilation 110 112 125—126
Quine modality 124
Quine naturalism 12—13 18 22 22—26 96—98 106—107
Quine ontic commitments 23 39 64
Quine parsimony 149
Quine quantification 76n
Quine semantic holism 33—34
Quine sets 142
Quine unapplied mathematics 93—94 107
Quine web of belief 117
Quine, V = L 95n 112—113
Quine/Duhem Thesis see "Holism confirmational"
Realism, mathematical 2—4
Realism, metaphysical 2
Realism, modal 41n 155—156
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 84—86
Resnik 88n 106n 125
Resnik indispensability 13—15 101n
Resnik patterns 142
Resnik scope of theories 110—111 112
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 126—134 141
Spillane 48n
Steiner 83n 151n
Structuralism 5 88n 142 149 150 150n
Surdon 138
Tarski 16
Theoretic virtues 78—79
Thought experiments 26 29—31
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 16—17
Weinberg 78n
Whittaker 86n
Wigner 6 87
Williams 22n
Winckler 44—45
Wolszcan 44
Wright 15n 116 135—140 143
Zalta 15n 154n
Zermelo 1n 5 150
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