Coding the Universe

Download or read book Coding the Universe written by A. Beller and published by Cambridge University Press. This book was released on 1982-01-07 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.