Theory of SetsThis is a softcover reprint of the English translation of 1968 of N. Bourbaki's, Théorie des Ensembles (1970). |
Contents
IV | 15 |
VI | 18 |
VII | 19 |
VIII | 21 |
IX | 24 |
XI | 25 |
XII | 26 |
XIV | 28 |
CII | 146 |
CIII | 147 |
CIV | 148 |
CV | 151 |
CVI | 152 |
CVII | 154 |
CVIII | 155 |
CIX | 157 |
XVI | 29 |
XVII | 30 |
XVIII | 33 |
XIX | 34 |
XX | 36 |
XXII | 37 |
XXIII | 38 |
XXIV | 41 |
XXV | 44 |
XXVI | 45 |
XXVII | 47 |
XXVIII | 50 |
XXIX | 51 |
XXXI | 53 |
XXXII | 56 |
XXXV | 57 |
XXXVI | 58 |
XXXVII | 59 |
XXXVIII | 60 |
XXXIX | 65 |
XL | 66 |
XLI | 67 |
XLIII | 69 |
XLV | 71 |
XLVI | 72 |
XLVII | 74 |
XLVIII | 75 |
XLIX | 78 |
LI | 81 |
LII | 82 |
LIII | 83 |
LIV | 84 |
LV | 86 |
LVI | 89 |
LVII | 90 |
LIX | 93 |
LX | 94 |
LXI | 96 |
LXIII | 98 |
LXIV | 99 |
LXV | 100 |
LXVI | 101 |
LXVII | 102 |
LXVIII | 103 |
LXIX | 105 |
LXX | 106 |
LXXI | 107 |
LXXII | 111 |
LXXIII | 112 |
LXXIV | 113 |
LXXV | 114 |
LXXVI | 116 |
LXXVII | 117 |
LXXVIII | 118 |
LXXIX | 119 |
LXXXI | 120 |
LXXXII | 121 |
LXXXIII | 123 |
LXXXVI | 124 |
LXXXVII | 125 |
LXXXVIII | 127 |
XC | 131 |
XCII | 133 |
XCIII | 135 |
XCIV | 136 |
XCV | 138 |
XCVI | 139 |
XCVII | 140 |
XCVIII | 141 |
C | 145 |
CXI | 158 |
CXII | 160 |
CXIII | 162 |
CXIV | 163 |
CXV | 164 |
CXVI | 166 |
CXVII | 168 |
CXVIII | 170 |
CXX | 171 |
CXXI | 173 |
CXXII | 174 |
CXXIII | 175 |
CXXV | 176 |
CXXVI | 177 |
CXXVII | 179 |
CXXVIII | 183 |
CXXIX | 184 |
CXXX | 186 |
CXXXI | 188 |
CXXXII | 189 |
CXXXIII | 191 |
CXXXIV | 192 |
CXXXV | 196 |
CXXXVI | 198 |
CXXXVII | 202 |
CXXXVIII | 204 |
CXXXIX | 209 |
CXL | 212 |
CXLI | 221 |
CXLII | 229 |
CXLIII | 230 |
CXLIV | 235 |
CXLV | 241 |
CXLVI | 251 |
CXLVII | 255 |
CXLVIII | 257 |
CXLIX | 259 |
CL | 260 |
CLI | 261 |
CLII | 262 |
CLIII | 264 |
CLIV | 266 |
CLV | 268 |
CLVI | 271 |
CLVII | 273 |
CLVIII | 274 |
CLIX | 276 |
CLX | 280 |
CLXI | 281 |
CLXII | 283 |
CLXIII | 284 |
CLXIV | 286 |
CLXV | 289 |
CLXVI | 290 |
CLXVII | 294 |
CLXVIII | 296 |
CLXIX | 343 |
CLXX | 347 |
CLXXI | 351 |
CLXXII | 357 |
CLXXIII | 363 |
CLXXIV | 370 |
CLXXV | 373 |
CLXXVI | 380 |
CLXXVII | 383 |
| 387 | |
| 392 | |
CLXXX | 414 |
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Common terms and phrases
A₁ abuse of language algebraic assembly bijection called canonical injection canonical mapping Card cardinal Chapter COROLLARY Deduce defined definition denoted direct system equipotent equivalence class equivalence relation example Exercise family of sets faß function graph greatest element hence identity mapping implies index set induction integer intersection inverse system isomorphism lattice least element least upper bound Let f let ƒ Let G logical mapping f mapping ƒ mathematicians mathematics maximal element morphism non-empty notation notion objects one-to-one order relation ordinal ordinal sum preordered proof Proposition prove quotient quotient set real numbers relation Vx relation xe resp satisfies segment sequence set and let set F set of subsets sets relative Show species of structures structure of species Suppose surjective system of sets term theorem theory of sets topology totally ordered set union well-ordered set ΕΙ
Popular passages
Page 9 - truths, nowadays it is known to be possible, logically speaking, to derive practically the whole of known mathematics from a single source, the Theory of Sets.
Page 7 - of faulty reasoning arising from, for example, incorrect use of intuition or argument by analogy. In practice, the mathematician who wishes to satisfy himself of the perfect correctness or "rigour" of a proof or a theory hardly ever has recourse to one or another of the complete formalizations available nowadays,