# The Principles of Mathematics

W. W. Norton & Company, 1996 - Mathematics - 534 pages
Pure Mathematics is the class of all propositions of the form p implies q, where p and q are propositions containing one or more variables, the same in the two propositions, and neither p nor q contains any constants except logical constants. And logical constants are all notions definable in terms of the following: Implication, the relation of a term to a class of which it is a member, the notion of such that, the notion of relation, and such further notions as may be involved in the general notion of propositions of the above form. In addition to these, mathematics uses a notion which is not a constituent of the propositions which it considers, namely the notion of truth.

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#### Review: The Principles of Mathematics

User Review  - Cayden - Goodreads

Bertrand Russell has always given me a bit of a headache. Read full review

#### Review: The Principles of Mathematics

User Review  - Keshav - Goodreads

Despite its title, this is NOT a math book, at least in the conventional definition of the term. It is indeed true that the subject matter of the book is indeed mathematics, but it neither teaches the ... Read full review

### Contents

 III 3 IV 4 V 5 VI 6 VII 7 VIII 8 IX 10 X 11
 CCXVIII 271 CCXIX 272 CCXX 274 CCXXI 276 CCXXII 277 CCXXIII 278 CCXXIV 279 CCXXV 280

 XI 13 XII 14 XIV 15 XV 16 XVI 17 XVII 18 XVIII 19 XIX 20 XX 21 XXI 23 XXIII 24 XXIV 25 XXV 26 XXVII 27 XXVIII 28 XXIX 29 XXX 31 XXXI 32 XXXII 33 XXXIII 34 XXXIV 35 XXXV 36 XXXVI 38 XXXVII 39 XXXVIII 40 XXXIX 42 XL 43 XLI 44 XLII 45 XLIII 46 XLIV 47 XLV 49 XLVI 50 XLVII 53 XLVIII 54 XLIX 55 L 56 LI 58 LII 59 LIII 61 LIV 62 LV 63 LVI 64 LVII 66 LVIII 67 LIX 68 LX 69 LXI 72 LXII 73 LXIII 76 LXIV 77 LXVI 78 LXVII 79 LXVIII 80 LXIX 82 LXX 83 LXXI 84 LXXII 86 LXXIII 88 LXXIV 89 LXXV 91 LXXVII 92 LXXVIII 93 LXXIX 95 LXXX 96 LXXXI 97 LXXXII 98 LXXXIII 99 LXXXIV 101 LXXXV 102 LXXXVII 103 LXXXVIII 104 LXXXIX 105 XC 106 XCI 109 XCII 111 XCIII 112 XCIV 114 XCV 115 XCVI 117 XCVII 118 XCVIII 119 XCIX 121 C 123 CI 124 CII 125 CIV 127 CV 129 CVI 130 CVII 131 CVIII 132 CIX 133 CXI 135 CXII 137 CXIII 138 CXIV 140 CXV 141 CXVI 143 CXVII 144 CXVIII 146 CXX 149 CXXI 150 CXXIII 151 CXXIV 152 CXXV 155 CXXVI 157 CXXVII 158 CXXVIII 159 CXXX 160 CXXXI 162 CXXXII 164 CXXXIII 166 CXXXIV 167 CXXXV 170 CXXXVI 171 CXXXVII 173 CXXXVIII 174 CXXXIX 176 CXL 177 CXLI 178 CXLII 179 CXLIII 181 CXLIV 182 CXLV 184 CXLVIII 185 CXLIX 186 CL 187 CLI 188 CLII 189 CLIII 190 CLIV 192 CLVI 193 CLVII 194 CLVIII 197 CLIX 199 CLX 200 CLXI 203 CLXII 204 CLXIII 205 CLXV 207 CLXVI 208 CLXVII 210 CLXVIII 211 CLXIX 212 CLXX 213 CLXXI 214 CLXXII 215 CLXXIII 216 CLXXIV 218 CLXXV 219 CLXXVI 220 CLXXVII 221 CLXXVIII 222 CLXXX 224 CLXXXI 226 CLXXXII 227 CLXXXIII 228 CLXXXIV 229 CLXXXVI 231 CLXXXVII 232 CLXXXVIII 234 CLXXXIX 236 CXC 237 CXCI 238 CXCII 239 CXCIII 240 CXCIV 242 CXCV 243 CXCVI 244 CXCVII 245 CXCVIII 246 CXCIX 247 CC 248 CCII 249 CCIII 252 CCIV 253 CCV 254 CCVII 255 CCVIII 257 CCIX 259 CCX 260 CCXI 262 CCXIII 263 CCXIV 264 CCXV 267 CCXVI 269 CCXVII 270
 CCXXVI 282 CCXXVII 283 CCXXVIII 285 CCXXIX 287 CCXXX 288 CCXXXI 290 CCXXXII 291 CCXXXIII 293 CCXXXIV 296 CCXXXV 298 CCXXXVI 299 CCXXXVII 300 CCXXXVIII 303 CCXXXIX 304 CCXL 306 CCXLI 307 CCXLII 309 CCXLIII 310 CCXLIV 311 CCXLV 312 CCXLVI 314 CCXLVII 315 CCXLVIII 317 CCXLIX 319 CCL 320 CCLI 321 CCLII 322 CCLIII 323 CCLIV 325 CCLV 326 CCLVI 328 CCLVII 329 CCLVIII 330 CCLIX 331 CCLX 332 CCLXI 334 CCLXII 335 CCLXIII 337 CCLXIV 338 CCLXV 339 CCLXVI 340 CCLXVII 341 CCLXVIII 342 CCLXIX 344 CCLXX 346 CCLXXI 347 CCLXXII 348 CCLXXIV 349 CCLXXV 350 CCLXXVI 351 CCLXXVII 352 CCLXXVIII 353 CCLXXX 355 CCLXXXI 356 CCLXXXII 357 CCLXXXIII 358 CCLXXXIV 359 CCLXXXV 360 CCLXXXVI 361 CCLXXXVII 362 CCLXXXVIII 363 CCLXXXIX 364 CCXC 366 CCXCII 367 CCXCIII 368 CCXCIV 369 CCXCV 371 CCXCVI 372 CCXCVIII 374 CCXCIX 375 CCC 376 CCCI 377 CCCII 378 CCCIII 379 CCCIV 381 CCCV 382 CCCVI 384 CCCVII 385 CCCVIII 386 CCCIX 388 CCCX 389 CCCXI 390 CCCXIII 391 CCCXIV 392 CCCXV 393 CCCXVI 394 CCCXVII 395 CCCXVIII 396 CCCXIX 397 CCCXX 398 CCCXXI 399 CCCXXII 400 CCCXXIII 401 CCCXXIV 402 CCCXXV 403 CCCXXVI 404 CCCXXVII 405 CCCXXVIII 406 CCCXXIX 407 CCCXXX 408 CCCXXXI 409 CCCXXXII 410 CCCXXXIII 411 CCCXXXIV 413 CCCXXXV 414 CCCXXXVI 415 CCCXXXVII 416 CCCXXXVIII 417 CCCXL 419 CCCXLI 420 CCCXLII 421 CCCXLIII 423 CCCXLIV 425 CCCXLV 426 CCCXLVI 427 CCCXLVII 429 CCCXLVIII 430 CCCXLIX 432 CCCL 434 CCCLI 437 CCCLII 438 CCCLIII 440 CCCLIV 441 CCCLV 442 CCCLVI 445 CCCLVII 446 CCCLIX 448 CCCLX 449 CCCLXI 451 CCCLXII 452 CCCLXIII 454 CCCLXV 456 CCCLXVI 457 CCCLXVII 458 CCCLXVIII 461 CCCLXIX 463 CCCLXX 465 CCCLXXI 466 CCCLXXII 467 CCCLXXIII 468 CCCLXXIV 469 CCCLXXV 471 CCCLXXVI 472 CCCLXXVII 473 CCCLXXVIII 474 CCCLXXIX 475 CCCLXXX 476 CCCLXXXI 477 CCCLXXXII 478 CCCLXXXIII 480 CCCLXXXIV 482 CCCLXXXV 483 CCCLXXXVII 485 CCCLXXXVIII 486 CCCLXXXIX 487 CCCXC 488 CCCXCI 489 CCCXCII 490 CCCXCIV 491 CCCXCV 492 CCCXCVI 494 CCCXCVII 495 CCCXCVIII 496 CD 497 CDI 501 CDII 502 CDIV 503 CDV 504 CDVI 505 CDVII 507 CDVIII 508 CDIX 510 CDX 512 CDXI 513 CDXII 514 CDXIII 515 CDXIV 516 CDXV 517 CDXVI 518 CDXVIII 519 CDXIX 520 CDXXI 523 CDXXII 525 CDXXIII 526 CDXXIV 527 CDXXV 529 Copyright

### About the author (1996)

Bertrand Arthur William Russell (1872-1970) was a British philosopher, logician, essayist and social critic. He was best known for his work in mathematical logic and analytic philosophy. Together with G.E. Moore, Russell is generally recognized as one of the main founders of modern analytic philosophy. Together with Kurt Gödel, he is regularly credited with being one of the most important logicians of the twentieth century. Over the course of a long career, Russell also made contributions to a broad range of subjects, including the history of ideas, ethics, political and educational theory, and religious studies. General readers have benefited from his many popular writings on a wide variety of topics. After a life marked by controversy--including dismissals from both Trinity College, Cambridge, and City College, New York--Russell was awarded the Order of Merit in 1949 and the Nobel Prize for Literature in 1950. Noted also for his many spirited anti-nuclear protests and for his campaign against western involvement in the Vietnam War, Russell remained a prominent public figure until his death at the age of 97.