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Book Categories |
Preface | ||
Pt. I | Basics of set theory | 1 |
1 | Axiomatic set theory | 3 |
2 | Relations, functions, and Cartesian product | 12 |
3 | Natural numbers, integers, and real numbers | 25 |
Pt. II | Fundamental tools of set theory | 35 |
4 | Well orderings and transfinite induction | 37 |
5 | Cardinal numbers | 61 |
Pt. III | The power of recursive definitions | 77 |
6 | Subsets of R[superscript n] | 79 |
7 | Strange real functions | 104 |
Pt. IV | When induction is too short | 127 |
8 | Martin's axiom | 129 |
9 | Forcing | 164 |
A | Axioms of set theory | 211 |
B | Comments on the forcing method | 215 |
C: Notation | 220 | |
References | 225 | |
Index | 229 |
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