Constructibility (Perspectives in Mathematical Logic)

Devlin K., J.:

ISBN 10: 3540132589 / ISBN 13: 9783540132585

Published by Springer, 1984

About this Item

439 p. Unread book. Very good condition. Minimum traces of storage. 9783540132585 Sprache: Englisch Gewicht in Gramm: 853.

Seller Inventory # 202640

Bibliographic Details

• Title: Constructibility (Perspectives in Mathematical Logic)
• Publisher: Springer
• Publication Date: 1984
• Language: English
• ISBN 10: 3540132589
• ISBN 13: 9783540132585
• Binding: Hardcover
• Edition: 1.
• Seller catalogs:
  • Mathematik

About this title

Synopsis

This book is intended to give a fairly comprehensive account of the theory of constructible sets at an advanced level. The intended reader is a graduate mathe­ matician with some knowledge of mathematical logic. In particular, we assume familiarity with the notions of formal languages, axiomatic theories in formal languages, logical deductions in such theories, and the interpretation oflanguages in structures. Practically any introductory text on mathematical logic will supply the necessary material. We also assume some familiarity with Zermelo-Fraenkel set theory up to the development or ordinal and cardinal numbers. Any number of texts would suffice here, for instance Devlin (1979) or Levy (1979). The book is not intended to provide a complete coverage of the many and diverse applications of the methods of constructibility theory, rather the theory itself. Such applications as are given are there to motivate and to exemplify the theory. The book is divided into two parts. Part A ("Elementary Theory") deals with the classical definition of the La-hierarchy of constructible sets. With some prun­ ing, this part could be used as the basis of a graduate course on constructibility theory. Part B ("Advanced Theory") deals with the fa-hierarchy and the Jensen "fine-structure theory".