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| Brown J.R. — Philosophy of Mathematics: An Introduction to a World of Proofs and Pictures |
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| Предметный указатель |
Reference (Fregean) 92—93 147 149;
Reichenbach, H. 22
Reid, C. 194
Relativity 2 56;
Relativity, general relativity 40 56 65 98;
Relativity, special relativity 17 142
Representation 37 40 48 49 51 53 79 88 102 144 152;
Representation vs. description 55—58
Representation, "representational granularity' 88;
Representation, alternative forms of 81 90—91 101 107 112 127;
Representation, distinction between pictorial and symbolic 40 152—153;
Resnik. M. 57 193 194
Revolutions 13 56
Ribenboim. P. 167
Richards, I. see Pour-El. M. and Richards. I.
Riemann, G. 166—167 185;
Riemann, Riemann hypothesis 30 166—167 170—171 188
Rigour xii 97 172—174 181 183 185 187—188
Rigour and pictures 180 190—191;
Rigour and proof 25 172 188 181 197
Robbins, H. see Courant R. H.
Robinson, A. 77—78
Rosen. 16 see
Rule following 132—136
Rule following and agreement 144—145;
Rule following and dispositions 138—139;
Rule following, sceptical paradox about 133 138 144—146 149
Rules 63 131 133 140 146 152;
Rules, grasping of 147—149 152;
Rules, sense and reference of 147 149 151—152
Rules, simple and complex 147—149
Russell, B. xi xii 29 31—32 49 115 170 193 194;
Russell, Russell's paradox 19 22 32 111 173; B.
Sagan, H. 197
Scepticism 102 134—135 137 142
Schroeder 63—64
science 13 23 30 58 66—67 123—124 151 163;
Science wars 181
Science, analogy with mathematics 154—155 168;
Semantic anti-realism 118;
Semantical consequence 54
Semantics 12 91;
Senechal, M. 173
Sense (Fregean) and reference 92—93 147—150;
Sense (Fregean) as a Platonic entity 153;
Sense (Fregean) of a picture 152—153
Sense (Fregean) of a rule 149 151—152;
Serre 197
Set 48 60 68 94 111 122—123 128 147 197
Set theory 19 22 39 54 59—61 65—66 68 94—95 100 122 194
Set theory, axioms of 170—171 180
Set theory, naive 19;
Set theory, paradoxes of 65 173 197
Set theory, primitive concepts of 59 94 97 102 111
Set theory, reduction of mathematics to 102—103 106
Set theory, use of in graph theory 104—107 127
Set, iterative conception of 22—23 111
Set, subset 95
Sextus Empiricus 193
Shakespeare, W. 27 113—114
Shanks, D. 159—160 167 171
Shapiro, S. 54 57—60 193 194
Shaw, CD. see Abraham R.H. C.D.
Shin, S. 194
Simon, H. 51—52 194
Smale 183
Social constructivism 181 198
| Socratic method 8—9
Sokal, A. 181
Space-filling curve 176 197
Special and general cases 33—34 40
Spinoza, B. 91
Steiner, M. 61
Stroud, B. 142—144
Structuralism 59—61 193
structures 57 60 141
Suppes, P 196
Survivability 150—151 153—155 157—158
Swoyer.C 49
symbols 62—63 65 68 79 94 116 147 152—153;
Symbols, pictorial vs. symbolic representation 40 152—153
Synthetic a priori 127
Tait, P.G. 81
Tarski — Banach paradox 32
Taylor series 169
Teller, P. 197
Theorems 102 111 121
Theoretical (speculative) mathematics 187—188
Theoretical entities 53 54 150 157;
Theoretical entities, theoretical statements 66—67 123
Thomae 63
Thomism xii
Thorn, R. 188—189
Thought-experiments 19 24 190 193 198
Thoughts (Fregean) 9 97 101 136
Thurston, W. 186 189
Tiles, M. 53 194 195 196
topology 129 176 197
Trudeau, R.J. 196
Truth 11—13 18 29 32 55 64—67 72 77 80 100 110 118—119 135 150 157 173 182
Turing Machines 195
Tymockzo, T. 154—158 197
Uhlenbeck, K. 189
Unions, Axiom of 102 111
Universals 12 55 193
Unsolvable/undecidable problems 7 180—181 192
Urelemenlen 48
Urquhart, A. 54 106 196
van Fraassen, B. 123
Vector 50 125
Vector space 12 125;
Verbal/symbolic reasoning/proof 34 42 130 173—174 176 178 180—181 192
Verificationism 120 150—151
Vesley, R. 195
Visualization xii 28 192
von Neumann, J. 58 60 70
von Wright, G.H. 132
Wagon, S. 160
Wang, H. 193
Wang, Q. 124
Weierstrass 124 185;
Weil, A. 197
Weyl, H. 125
Whewell 29
Whitehead, A.N. 191;
Whitehead, A.N. and Russell, B. 70 94 102 109
Wigner, E. 46 61
Wiles, A. 156 165—166 187
Will, G. 52
Witten, E. 86 189 194
Wittgenstein, L. xi 37 63 118 130—153
Wright, C. 150 193
Zeno's paradoxes 65 123
Zermelo, E. 58 60 197
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