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Russel B. — Principles of Mathematics
Russel B. — Principles of Mathematics



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Название: Principles of Mathematics

Автор: Russel B.

Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 534

Добавлена в каталог: 17.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Referent      24 96 99 263
Regress, endless      50 99 223 348
Regression      291 300 320
Relation      95 107
Relation in itself and as relating      49 100
Relation of a relation to its terms      99
Relation of a term to itself      86 96 97 105
Relation, converse domain of      97 98
Relation, definable as a class of couples?      99 512
Relation, domain of      26 97 98
Relation, field of      97 98
Relation, finite      262
Relation, fundamental      112
Relation, particularized by its terms      51n. 52 211
Relation, peculiar to two terms      25 99 268
Relation, when analyzable      163
Relation-number      see "Number relation"
Relations, as functions of two variables      507 521
Relations, asymmetrical      25 200 203n. 218—226
Relations, converse of      25 95 97 201n.
Relations, difference from numbers      95
Relations, extensional view of      99 523 526
Relations, intensional view of      24 523 526
Relations, intransitive      218
Relations, many-one      114 246n.
Relations, monistic and monadistic theories of      221ff.
Relations, non-repeating      232n.
Relations, not-symmetrical      26 96 218
Relations, not-transitive      218
Relations, one-one      113 130 305
Relations, propositional      510
Relations, reality of?      viii 99 221 224 446ff.
Relations, reflexive      114 159ff. 219 220
Relations, sense of      86 95 99 107 225 227
Relations, serial      242
Relations, symmetrical      26 96 114 203n. 218
Relations, transitive      114 203 218
Relations, triangular      204 211 471 472 see
Relations, types of      8 23 403 436
Relations, with assigned domains      26 268
Relatum      24 96 99 263
Representation, of a system      245
Resemblance, immediate      171
Rest      265
Reye      403n.
Riemanrf      266
Rigidity      405
Rotation, absolute      489ff.
Schroeder      10n. 12n. 13 22 24 26 142 201n. 221n. 232 306n. 320n. 367n.
segments      271 359
Segments and limits      292
Segments in descriptive geometry      394 397
Segments in projective geometry      385ff.
Segments of compact series      299—302
Segments of well-ordered series      314n.
Segments, completed      289 303
Segments, infinitesimal      334 353 368
Semi-continuum      320
Separation      see "Couples"
Series      199
Series and distance      204
Series and triangular relations      204
Series by correlation      262 363
Series, closed      202 204 205 234—238 297 381 387
Series, coherent      274 283 297
Series, cohesive      288
Series, compact      193n. 203 259 271 277 287 289 299—303
Series, complete      269 303
Series, continuous      205 271 287
Series, denumerable      296 298
Series, fundamental      283 297
Series, independent      262
Series, infinite      204 239
Series, perfect      273 288 290 292 297
Series, simple and multiple      372
Series, well-ordered      310 319 322 363
Sheaves      400
Sign, difference of      227—233
Similarity of classes      113 249 261 305 356
Similarity of null-classes      521
Similarity of whole and part      see "Part"
simplification      16
Some, distinguished from a      56n. 59
Space      372 436 442
Space and existence      vii 458 461
Space, a priori?      454
Space, absolute      227 445ff.
Space, an infinite aggregate      143 443 455
Space, continuity of      437—444
Space, empty      446 449 465
Space, finite and infinite      403
Space, subjective?      446
Spaces, Clifford's, defined      434
Spaces, Euclidean, defined      432
Spaces, projective, defined      430
SPINOZA      221 448
Stolz      90 282n. 283n. 334 336 378n. 379
Straight lines and distance      410 492
Straight lines, descriptive      394—398
Straight lines, elliptic      205
Straight lines, ideal      400 402
Straight lines, kinds of      382 391
Straight lines, metrical      410
Straight lines, projective      382ff. 387 391
Straight lines, segments of descriptive      394 397
Straight lines, segments of projective      385
Streintz      491
Stretch      181 182n. 230 254 288 342 353 408ff. 425
Sub-classes, number contained in a given class      366 527
Subject, and predicate      47 54 77 95 211 221 448 451 471
Subject, and predicate, logical, can it be plural?      69 76 132 136 516
Substance      43 471
Substantives      42
Such that      3 11 19 20 28 79 82
Sum, logical      21
Sum, relative      26
Superposition      161 405
Syllogism      10 16 21 30 457
System, singly infinite      245 247
Tautology, law of      23
Terms      43 55n. 152 211 448 471 522
Terms of a proposition      45 95 211
Terms of a whole      143
Terms, cardinal number of      362 366
Terms, combinations of      55 56
Terms, four classes of      465
Terms, principal, in a series      297
Terms, simple and complex      137
Tetrahedra      387 399
Than      100
the      62
Therefore      35 504
Things      44 106 466 505
Things and change      471
Time, an infinite aggregate      144
Time, Kant's theory of      456 458
Time, relational theory of      265
Totality      362 368 528
Transcendental Aesthetic      259
Transcendental Aesthetic, Dialectic      259
Triangles      387 398
Trios      525
Tristram Shandy, paradox of      358
Truth      3 35 48 504
truth-values      502 519
two      135
Two, not mental      451
Types, logical      103 104 107 131 139n. 367 368 521 523—528
Types, logical of infinite order      525
Types, logical, minimum      524 525
Types, logical, mixed      524 526
Types, logical, number of      525
Types, ordinal      261 321
Unequal      160n.
UNIT      136 140
Unit, material      468
Unities      139 442
Unities, infinite      144 223n.
Unities, organic      466
VACUUM      468
Vaihinger      44 64 56
Vailati      205 215 235 393n. 394 395 413
Validity      450
Variable      5 6 19 89—94 107 264
Variable and generality      90
Variable as concept      86
Variable in Arithmetic      90
Variable, apparent and real      13
Variable, conjunctive and disjunctive      92
Variable, does not vary      90 344 351
Variable, independent      263
Variable, individuality of      94
Variable, range of      36 518
Variable, restricted      90
Vectors      432
Velocity      473 482
verbs      20n. 42 47—52 106
Verbs and relations      49 526
Vieta      157
Vivanti      203n. 288 307n. 308
volumes      231 333 417 440 443
Von Staudt      199 216 333 384 385n. 421 427n.
Ward      474 489
Weierstrass      111 157 259 326 347 473
Weierstrass on irrationals      282
Whitehead      vi viii 119 253n. 299n. 307 308 311n. 322 376n. 377 424n. 426
Wholes      77 137
Wholes and enumeration      360
Wholes and logical priority      137 147
Wholes, always either aggregates or unities?      146 440 460
Wholes, collective and distributive      348
Wholes, distinct from all their parts      140 141 225
Wholes, distinct from classes as many      69 132 134n.
Wholes, infinite      143—148 333 349
Wholes, two kinds of      138
Zeno      347ff. 355 358
Zermelo      306n.
Zero      168 195 356
Zero and existence      187
Zero and negation      186 187
Zero as minimum      185
Zero as null-segment      186 273
Zero of distance      186
Zero, Meinong's theory of      184 187
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