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Proper And Improper Forcing:  Perspectives In Mathematical Logic Saharon Shelah

Proper And Improper Forcing: Perspectives In Mathematical Logic

Saharon Shelah

Published
ISBN : 9780387517001
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 About the Book 

The book deals with set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. Consequently, the theory of iterated forcing is developed. The author gives a completeMoreThe book deals with set-theoretic independence results (independence from the usual set-theoretic ZFC axioms), in particular for problems on the continuum. Consequently, the theory of iterated forcing is developed. The author gives a complete presentation of the theory of proper forcing and its relatives, starting from the beginning and avoiding the metamathematical considerations. In addition to particular consistency results, the author shows methods which can be used for such independence results. Many of these are presented in an axiomatic framework (a la Martins axiom) for this reason. The main aim of the book is thus to enable a researcher interested in an independence result of the approprate kind, to have much of the work done for him, thus allowing him to quote general results.