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Sierpinski W. — Cardinal and ordinal numbers |
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Предметный указатель |
Alephs 392.
Algebraic number 46.
Axiom of Choice 92
Axiom of choice, Restricted 99.
Basis of Hamel 444.
Cantor-Bernstein theorem 36.
Cardinal numbers 135
Cardinal numbers, Accessible 409
Cardinal numbers, Inaccessible 408.
Cartesian (combinatorical) product 22 77.
Character, Left-side, Right-side 462.
Character, of an element 642
Commutative ordinal numbers 346.
Complement 19.
components 13.
Continuum Hypothesis 86
Continuum hypothesis, generalized 88.
Correspondence 20
Correspondence, m-to-n 129
Correspondence, One-tone 21.
Critical numbers of a function 321.
De Morgan's formulae 19.
Difference, of cardinal numbers 161
Difference, of sets 14.
Disjoint, sets 17
Disjoint, sum 17.
Epsilon number 327.
Families of sets 11.
First class of ordinal numbers 369.
Function 20
Function, characteristic 22
Function, inverse 21
Function, invertible 20.
General principle of choice 98.
inclusion 12.
Inductive sets 434.
Initial numbers 391.
Interior point 41.
interval 41.
Length of an interval 41.
Maximal element 434.
Natural product and natural sum of orrdinal numbers 367.
Normal form 323.
Number, Indecomposable 306
Number, Rationally independent 447.
Ordered sequences 20.
| Postulate of Bertrand 337.
Power, of an ordinal number 369.
Power, of sets 84
Prime factor (indecomposable number) 307.
Principle of first differences 4=4=.
Product, cartesian 22
Product, of sets 15.
Root of an ordinal number 345.
Second class of ordinal numbers 369.
Sets 9
Sets, 466
Sets, Coinitial 462
Sets, Confinal 461
Sets, Denumerable, countable 38
Sets, disjoint 17
Sets, Effectiffectively non-denumerable 48
Sets, Effectively denumerable 38
Sets, Effectively equivalent 29
Sets, empty 10
Sets, Equal 10
Sets, equivalent 26
Sets, Essenssentially different 452
Sets, finite 27 55
Sets, Finite in the sense of Dedeind 54
Sets, Inductive 55 434
Sets, infinite 27
Sets, Infinite in the sense of Dedekind 53
Sets, Non-denumerable 47
Sets, of the power of the continuum 57.
Single-valued function 20.
Subset (part), of a set 11
Subset (part), Proper 12.
Sum, of an infinite series 176
Sum, of sets 13.
Superset 12.
Teichmuller's principle 134.
Theorem, of Cantor-Bernstein 36
Theorem, of Denjoy 41
Theorem, of J.Konig 125
Theorem, of Lindenbaum 45 429
Theorem, of P.Erdos 129
Theorem, of R.Vaught 436
Theorem, on trichotomy 415
Theorem, Well-ordering, of Zermelo 414.
Upper bound 434.
Well-Ordering Theorem of Zermelo 414.
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