The Joy of Sets - Keith Devlin
Fundamentals of Contemporary Set Theory
KORTE INHOUD
Preface
v
Naive Set Theory
1 (28)
What is a Set?
1 (3)
Operations on Sets
4 (2)
Notation for Sets
6 (1)
Sets of Sets
7 (3)
Relations
10 (2)
Functions
12 (4)
Well-Orderings and Ordinals
16 (9)
Problems
25 (4)
The Zermelo-Fraenkel Axioms
29 (37)
The Language of Set Theory
30 (5)
The Cumulative Hierarchy of Sets
35 (5)
The Zermelo-Fraenkel Axioms
40 (6)
Classes
46 (4)
Set Theory as an Axiomatic Theory
50 (1)
The Recursion Principle
51 (5)
The Axiom of Choice
56 (7)
Problems
63 (3)
Ordinal and Cardinal Numbers
66 (35)
Ordinal Numbers
66 (2)
Addition of Ordinals
68 (1)
Multiplication of Ordinals
69 (2)
Sequences of Ordinals
71 (3)
Ordinal Exponentiation
...
v
Naive Set Theory
1 (28)
What is a Set?
1 (3)
Operations on Sets
4 (2)
Notation for Sets
6 (1)
Sets of Sets
7 (3)
Relations
10 (2)
Functions
12 (4)
Well-Orderings and Ordinals
16 (9)
Problems
25 (4)
The Zermelo-Fraenkel Axioms
29 (37)
The Language of Set Theory
30 (5)
The Cumulative Hierarchy of Sets
35 (5)
The Zermelo-Fraenkel Axioms
40 (6)
Classes
46 (4)
Set Theory as an Axiomatic Theory
50 (1)
The Recursion Principle
51 (5)
The Axiom of Choice
56 (7)
Problems
63 (3)
Ordinal and Cardinal Numbers
66 (35)
Ordinal Numbers
66 (2)
Addition of Ordinals
68 (1)
Multiplication of Ordinals
69 (2)
Sequences of Ordinals
71 (3)
Ordinal Exponentiation
...
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