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Constructible Sets with Applications

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Author(s): A. Mostowski (Eds.)
Series: Studies in Logic and the Foundations of Mathematics 57
Publisher: Elsevier Science
Year: 1969

Language: English
Pages: iii-vi, 1-269

Content:
Edited by
Page iii

Copyright page
Page v

Preface
Pages v-vi
Andrzej Mostowski

Chapter I Axioms and Auxiliary Notions
Pages 1-21

Chapter II General Principles of Construction
Pages 22-34

Chapter III Constructible Sets
Pages 35-49

Chapter IV Functors and Their Definability
Pages 50-68

Chapter V Constructible Sets as Values of a Functor
Pages 69-84

Chapter VI CПЂ(A)(О±) as a Model
Pages 85-98

Chapter VII Consistency of the Axiom of Choice and of the Continuum Hypothesis
Pages 99-119

Chapter VIII Reduction of Models
Pages 120-126

Chapter IX Generic Points and Forcing; General Theory
Pages 127-140

Chapter X Polynomials
Pages 141-152

Chapter XI Explicit Construction of Polynomials for Functions Bmin, BO, BZ
Pages 153-168

Chapter XII Examples of Models and of Independence Proofs
Pages 169-188

Chapter XIII The Continuum Hypothesis
Pages 189-222

Chapter XIV Independence of the Axiom of Choice
Pages 223-247

Chapter XV Problems of Definability
Pages 248-254

Appendix
Pages 255-257

Bibliography
Pages 258-259

List of Important Symbols
Pages 260-265

Author Index
Page 266

Subject Index
Pages 267-269