Constructibility Perspectives in Logic Series

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. In this volume, the sixth publication in the Perspectives in Logic series, Keith J. Devlin gives a comprehensive account of the theory of constructible sets at an advanced level. The book provides complete coverage of the theory itself, rather than the many and diverse applications of constructibility theory, although applications are used to motivate and illustrate the theory. The book is divided into two parts: Part I (Elementary Theory) deals with the classical definition of the L?-hierarchy of constructible sets and may be used as the basis of a graduate course on constructibility theory. and Part II (Advanced Theory) deals with the J?-hierarchy and the Jensen 'fine-structure theory'.

Part I. Elementary Theory: 1. Preliminaries; 2. The constructible universe; 3. ω1-Trees in L; 4. κ+-Trees in L and the fine structure theory; 5. The story of 0#; Part II. Advanced theory: 6. The fine structure theory; 7. Trees and large cardinals in L; 8. Morasses and the cardinal transfer theorem; 9. Silver machines; Remarks and historical notes; Bibliography; Glossary of notation; Index.

Keith J. Devlin works in the Department of Mathematics at the University of Lancaster.