Faithin Omaha eBook Collection

Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, for

Descriptive set theory has been one of the main areas of research in set theory for almost a century. This text presents a largely balanced approach to the subj

Numbers imitate space, which is of such a di?erent nature —Blaise Pascal It is fair to date the study of the foundation of mathematics back to the ancient Gre

This book introduces a new research direction in set theory: the study of models of set theory with respect to their extensional overlap or disagreement. In Par

The main body of this book consists of 106 numbered theorems and a dozen of examples of models of set theory. A large number of additional results is given in t