Research Catalog

Title

A mathematical introduction to logic / Herbert B. Enderton.

Author

Enderton, Herbert B.

Publication

San Diego, Calif. : Academic Press, [2001], ©2001.

Supplementary Content

Publisher description

Items in the Library & Off-site

Details

Description

xii, 317 pages; 24 cm

Summary

This edition offers increased flexibility with topic coverage, allowing for choice in how to utilize the textbook in a course. The author has made this edition more accessible to better meet the needs of today's undergraduate mathematics and philosophy students. It is intended for the reader who has not studied logic previously, but who has some experience in mathematical reasoning. Material is presented on computer science issues such as computational complexity and database queries, with additional coverage of introductory material such as sets.

Subjects

• Logic, Symbolic and mathematical
• Symbolische logica
• Wiskundige logica
• Logique symbolique et mathématique
• Logik
• Mathematik

Bibliography (note)

• Includes bibliographical references (p. 307-308) and index.

Contents

Sentential Logic -- Informal Remarks on Formal Languages -- The Language of Sentential Logic -- Truth Assignments -- A Parsing Algorithm -- Induction and Recursion -- Sentential Connectives -- Switching Circuits -- Compactness and Effectiveness -- First-Order Logic -- First-Order Languages -- Truth and Models -- A Parsing Algorithm -- A Deductive Calculus -- Soundness and Completeness Theorems -- Models of Theories -- Interpretations Between Theories -- Nonstandard Analysis -- Undecidability -- Number Theory -- Natural Numbers with Successor -- Other Reducts of Number Theory -- A Subtheory of Number Theory -- Arithmetization of Syntax -- Incompleteness and Undecidability -- Recursive Functions -- Second Incompleteness Theorem -- Representing Exponentiation -- Second-Order Logic -- Second-Order Languages -- Skolem Functions -- Many-Sorted Logic -- General Structures.

ISBN

• 0122384520 (acid-free paper)
• 9780122384523 (acid-free paper)

LCCN

00110670

OCLC

• ocm45830890
• 45830890
• SCSB-5686364

Owning Institutions

Columbia University Libraries