Coding the Universe

Axiomatic set theory is the concern of this book.

A. Beller (Author), R. Jensen (Author), P. Welch (Author)

9780521280402, Cambridge University Press

Paperback, published 7 January 1982

360 pages
22.9 x 15.2 x 2 cm, 0.53 kg

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.

An introduction
1. The building blocks
2. The conditions
3. Distributivity
4. The denouement
5. Applications
6. The fine-structural lemmas
7. The Cohen-generic sets
8. How to get rid of "¬0 #"
9. Some further applications.

Subject Areas: Mathematical foundations [PBC]