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Coding the Universe

Coding the Universe

Paperback

Series: London Mathematical Society Lecture Note, Book 47

FictionGeneral Mathematics

ISBN10: 0521280400
ISBN13: 9780521280402
Publisher: Cambridge University Press
Published: Jan 7 1982
Pages: 360
Weight: 1.16
Height: 0.80 Width: 6.00 Depth: 9.00
Language: English
Axiomatic set theory is the concern of this book. More particularly, the authors prove results about the coding of models M, of Zermelo-Fraenkel set theory together with the Generalized Continuum Hypothesis by using a class 'forcing' construction. By this method they extend M to another model L[a] with the same properties. L[a] is Gödels universe of 'constructible' sets L, together with a set of integers a which code all the cardinality and cofinality structure of M. Some applications are also considered. Graduate students and research workers in set theory and logic will be especially interested by this account.

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General Mathematics