Research Catalog

A mathematical introduction to logic

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

Filter by

2 Items

StatusFormatAccessCall NumberItem Location
TextRequest in advance QA9 .E54 2001Off-site
TextUse in library Off-site

Holdings

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
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