The Principles of Mathematics

Front Cover
W. W. Norton & Company, 1996 - Mathematics - 534 pages
2 Reviews
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.
  

What people are saying - Write a review

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

Common terms and phrases

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.

Bibliographic information