1 Table of Contents: “...Origins: Hilbert's First Problem -- Choice Principles: Some Equivalents to the Axiom of Choice...”

2 Table of Contents: “... -- Chapter 3. From dialogical strategies to CTT demonstrations -- Chapter 4. The dialogical take on the Axiom...”

3 Table of Contents: “...Preface -- 1 The Axiom of Choice and Some of Its Equivalents -- 2 Categories -- 3 Topological...”

4 Table of Contents: “... -- Open Sets and Continuity -- Ordinals -- The Axiom of Choice -- Borel Sets -- Measure Theory...”

5 Table of Contents: “... -- Assertion, Proof, and the Axiom of Choice -- Montague’s Modal Completeness Theorem of 1955...”

6 Table of Contents: “..., Induction, and the Axiom of Choice -- 6 Lattices, Closure Operators, and Galois Connections -- 7 Categories...”

7 Table of Contents: “... Induction with Already Well-Ordered Sets -- 6. The Axiom of Choice: Proofs by Transfinite Induction -- 7...”

8 Table of Contents: “... Relations in ZF only -- The Axiom of Choice -- How to Make Two Balls from One -- Models of Set Theory...”

9 Table of Contents: “... Mayer and the Theory of the Second Variation in the Calculus of Variations -- Therrien, The Axiom...”

10 Table of Contents: “... Bell, The Axiom of Choice in the Foundations of Mathematics Jim Lambek and Phil Scott, Reflections on a...”

11 Table of Contents: “... -- Relativization of Real Numbers to a Universe -- 100 Years of Zermelo’s Axiom of Choice: What was the Problem...”

12 Table of Contents: “... and Benacerraf’s Problem; Crispin Wright -- 8 More on Frege and Hilbert; Michael Hallett -- 9 The Axiom of Choice...”

13 Table of Contents: “...-Orders and Ordinals -- 10 Alephs, Cofinality, and the Axiom of Choice -- 11 Posets, Zorn’s Lemma, Ranks...”

14 Table of Contents: “... Framework for Computable Analysis -- Computing with Sequences, Weak Topologies and the Axiom of Choice...”

15 Table of Contents: “... Logic -- Anton Klyachko: Car Crashes -- Bernard Chazelle: Natural Algorithms -- Thomas Jech: The Axiom...”

16 Table of Contents: “... Problem -- The Relative Consistency of the Axiom of Choice — Mechanized Using Isabelle/ZF -- Upper...”

17 Table of Contents: “... Case of Wallis's Attempted Proof of the Parallel Postulate and the Axiom of Choice -- Diagram Design...”

18 “.... Whenever possible the presentation is done without the full axiom of choice. Since the book is intended...”

19 “... theory and the axiom of choice. The revised edition contains new permutation models and recent results...”

20 “... for the first formulation of the axiom of choice.  However, his papers also include pioneering work in applied...”