Mathematical logic. An introduction to model theory. Ed. by H.B. Enderton.

Lightstone, A.H.

ISBN 10: 0306308940 / ISBN 13: 9780306308949

Verlag: Plenum Press, New York - London, 1978

Beschreibung

Cloth with dustjacket. XIV, 338 pp. . "Mathematical concepts and methods in science and engineering 9". -(dustjacket damaged (tears), bookblock slightly foxeed). ISBN 0306308940.

Bestandsnummer des Verkäufers 68090-A-63649

Bibliografische Details

• Titel: Mathematical logic. An introduction to model theory. Ed. by H.B. Enderton.
• Verlag: Plenum Press, New York - London
• Erscheinungsjahr: 1978
• Sprache: Englisch
• ISBN-10: 0306308940
• ISBN-13: 9780306308949
• Einband: Hardcover
• Zustand des Schutzumschlags: Schutzumschlag

Über diesen Titel

Inhaltsangabe

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.