Duality and Definability in First Order Logic (Memoirs of the American Mathematical Society)

Michael Makkai

ISBN 10: 0821825658 / ISBN 13: 9780821825655

Published by American Mathematical Society, 1993

About this Item

Type: Book N.B. Small plain label to inside front cover. Corners a little rubbed. (MATHEMATICS).

Seller Inventory # 300394

Bibliographic Details

• Title: Duality and Definability in First Order Logic (Memoirs of the American Mathematical Society)
• Publisher: American Mathematical Society
• Publication Date: 1993
• Language: English
• ISBN 10: 0821825658
• ISBN 13: 9780821825655
• Binding: Paperback
• Condition: Very Good
• Dust Jacket Condition: No d/j as Published
• Weight: 7 ounces
• Seller catalogs:
  • MATHEMATICS

About this title

Synopsis

Using the theory of categories as a framework, this book develops a duality theory for theories in first order logic in which the dual of a theory is the category of its models with suitable additional structure. This duality theory resembles and generalizes M. H. Stone's famous duality theory for Boolean algebras. As an application, Makkai derives a result akin to the well-known definability theorem of E. W. Beth. This new definability theorem is related to theorems of descent in category theory and algebra and can also be stated as a result in pure logic without reference to category theory. Containing novel techniques as well as applications of classical methods, this carefully written book shows attention to both organization and detail and will appeal to mathematicians and philosophers interested in category theory.