Mathematical Logic - An Introduction to Model Theory

Lightstone, A. H.

ISBN 10: 0306308940 / ISBN 13: 9780306308949

Published by Plenum Press, New York & London, 1978

About this Item

23.5 x 16 cm. 338pp. Bibliography, index. Navy cloth in dust jacket. Some toning and mild edgewear to the jacket. Mathematical Concepts and Methods in Science and Engineering Volume 9. Very Good in Very Good dust jacket.

Seller Inventory # 79338

Bibliographic Details

• Title: Mathematical Logic - An Introduction to Model Theory
• Publisher: Plenum Press, New York & London
• Publication Date: 1978
• Language: English
• ISBN 10: 0306308940
• ISBN 13: 9780306308949
• Binding: Hardcover
• Dust Jacket Condition: Dust Jacket Included
• Seller catalogs:
  • Mathematics

About this title

Synopsis

Before his death in March, 1976, A. H. Lightstone delivered the manu­ script for this book to Plenum Press. Because he died before the editorial work on the manuscript was completed, I agreed (in the fall of 1976) to serve as a surrogate author and to see the project through to completion. I have changed the manuscript as little as possible, altering certain passages to correct oversights. But the alterations are minor; this is Lightstone's book. H. B. Enderton vii Preface This is a treatment of the predicate calculus in a form that serves as a foundation for nonstandard analysis. Classically, the predicates and variables of the predicate calculus are kept distinct, inasmuch as no variable is also a predicate; moreover, each predicate is assigned an order, a unique natural number that indicates the length of each tuple to which the predicate can be prefixed. These restrictions are dropped here, in order to develop a flexible, expressive language capable of exploiting the potential of nonstandard analysis. To assist the reader in grasping the basic ideas of logic, we begin in Part I by presenting the propositional calculus and statement systems. This provides a relatively simple setting in which to grapple with the some­ times foreign ideas of mathematical logic. These ideas are repeated in Part II, where the predicate calculus and semantical systems are studied.