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

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

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

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

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

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

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

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

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

12 “... and the axiom of choice as used in everyday mathematics. Proceeding at a gentle pace, they go on to present some...”

13 “.... The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological...”

14 “...Ernst Zermelo (1871-1953) is best-known for the statement of the axiom of choice and his...”

15 “.... The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological...”

16 “...-1953). Zermelo is best-known for the statement of the axiom of choice and his axiomatization of set...”

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

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

19 “... on the axiomatic framework, although some aspects are elaborated (axiom of foundation and the axiom of choice...”

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