1 Table of Contents: “... Relations Concerning the Axiom of Choice -- Journal Abbreviations Used in the Bibliography -- Index...”

2 Table of Contents: “... -- The paradoxes -- The axiom of choice -- Zermelo takes over -- Making inconsistent sets respectable...”

3 Table of Contents: “... and the Rank Function -- 10 The Axiom of Choice and Cardinal Numbers -- 11 Cofinality, the Generalized...”

4 “.... Ordinal Numbers 12 3. Cardinal Numbers 22 4. Real Numbers 29 5. The Axiom of Choice 38 6. Cardinal...”

5 Table of Contents: “... Elementary Theory of Real Numbers -- §4 Non-Standard Analysis -- §5 Axiom of Choice and Continuum Hypothesis...”

6 Table of Contents: “... -- On descendingly complete ultrafilters -- XVI. A model for the negation of the axiom of choice -- Filters closed...”

7 Table of Contents: “... -- Weak forms of the axiom of choice and partitions of infinite sets -- A taste of proper forcing...”

8 Table of Contents: “... Inverses and Composites -- 11 Numbers -- 12 The Peano Axioms -- 13 Arithmetic -- 14 Order -- 15 The Axiom...”

9 “... effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem...”

10 “... of Zermelo-Fraenkel set theory together with the axiom of choice. It splits into three parts. Part one, which...”

11 Table of Contents: “... -- The Axiom of Choice and Cardinal Arithmetic -- The Axiom of Regularity -- Filters, Ultrafilters and Boolean...”

12 Table of Contents: “... to recursion on general structures -- Closed models and hulls of theories -- Axioms of choice in Morse-Kelley...”

13 Table of Contents: “... Ordinals -- 9 Natural Numbers -- 10 Equivalents of the Axiom of Choice -- 11 Infinite Sets -- 12 Cardinals...”

14 “... cover the basic facts about "ab­ stract sets," including the Axiom of Choice, transfinite recursion...”

15 “..., of the axiom of choice. Recent developments, however, have given rise to the hope that the distance between...”

16 Table of Contents: “... and Transcendental Numbers -- 1.8 Orderings -- 1.9 The Axiom of Choice -- 1.10 Transfinite Numbers -- 1.11 Paradise...”

17 Table of Contents: “.... Classes. -- 7. Set theory as an axiomatic theory. -- 8. The recursion principle. -- 9. The axiom of choice...”

18 Table of Contents: “... The Recursion Principle -- 2.7 The Axiom of Choice -- 2.8 Problems -- 3 Ordinal and Cardinal Numbers -- 3.1...”

19 Table of Contents: “...1 Cardinal and Ordinal Numbers -- 1.1 Countable Sets -- 1.2 Order of Infinity -- 1.3 The Axiom...”

20 Table of Contents: “... Posets -- 3.7 Functions and Posets -- 3.8 Complete Partial Orders -- 3.9 The Axiom of Choice and Zorn’s...”