This monograph is a follow up to the author's classic text Boolean-Valued Models and Independence Proofs in Set Theory, providing an exposition of some of the most important results in set theory obtained in the 20th century--the independence of the continuum hypothesis and the axiom of choice. Aimed at research students and academics in mathematics, mathematical logic, philosophy, and computer science, the text has been extensively updated with expanded introductory material, new chapters, and a new appendix on category theory, and includes recent developments in the field. Numerous exercises, along with the enlarged and entirely updated background material, make this an ideal text for students in logic and set theory.
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Editions-Typ
Illustrationen
numerous line drawings and mathematical examples
Maße
Höhe: 242 mm
Breite: 162 mm
Dicke: 16 mm
Gewicht
ISBN-13
978-0-19-856852-0 (9780198568520)
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Schweitzer Klassifikation
Autor*in
Professor of Philosophy, University of Western Ontario
Foreword; Preface; List of Problems; 0. Boolean and Heyting Algebras: The Essentials; 1. Boolean-Valued Models: First Steps; 2. Forcing and Some Independece Proofs; 3. Group Actions on V(B) and the Independence of the Axiom of Choice; 4. Generic Ultrafilters and Transitive Models of ZFC; 5. Cardinal Collapsing, Boolean Isomorphism and Applications to the Theory of Boolean Algebras; 6. Iterated Boolean Extensions, Martin's Axiom and Souslin's Hypothesis; 7. Boolean-Valued Analysis; 8. Intuitionistic Set Theory and Heyting-Algebra-Valued Models; Appendix. Boolean- and Heyting-Algebra-Valued Models as Categories; Historical Notes; Bibliography; Index of Symbols; Index of Terms
