# Introduction to Mathematical Logic, Fourth Edition

CRC Press, Jun 1, 1997 - Mathematics - 440 pages
The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and an appendix furnishes answers to many of them.
Introduction to Mathematical Logic includes:
• propositional logic
• first-order logic
• first-order number theory and the incompleteness and undecidability theorems of Gödel, Rosser, Church, and Tarski
• axiomatic set theory
• theory of computability
The study of mathematical logic, axiomatic set theory, and computability theory provides an understanding of the fundamental assumptions and proof techniques that form basis of mathematics. Logic and computability theory have also become indispensable tools in theoretical computer science, including artificial intelligence. Introduction to Mathematical Logic covers these topics in a clear, reader-friendly style that will be valued by anyone working in computer science as well as lecturers and researchers in mathematics, philosophy, and related fields.
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#### Review: Introduction to Mathematical Logic

There are more rigorous, professional introductions to the subject—but they are designed for people who already know a good deal about the subject, or are exceptional mathematicians. This is a fast ... Read full review

#### Review: Introduction to Mathematical Logic

User Review  - Chauncey - Goodreads

I can't totally dismiss this book, but I keep setting it aside. I'm trying to read it in concurrence with two others--one also on mathematical logic and another specifically on set theory. I'm finding ... Read full review

### Contents

 Preface The prepositional calculus 11 Quantification theory 50 Formal number theory 154 Axiomatic set theory 225 Computability 305
 Recursively enumerable sets 333 Appendix Secondorder logic 368 Answers to selected exercises 383 Bibliography 412 Notation 424 Copyright

### References from web pages

Mathematical Logic. Introduction. By V.Detlovs and K.Podnieks
100% of a hyper-textbook for students. Extended translation of: V.Detlovs, Elements of Mathematical Logic, Riga, University of Latvia, 1964, 252 pp
www.ltn.lv/ ~podnieks/ mlog/ ml.htm

JSTOR: Introduction to Mathematical Logic.
Introduction to mathematical logic. The University Series in Under- graduate Mathematics, D. Van Nestrand Company, Inc., Princeton, New Jersey, Toronto, ...

Elliott Mendelson “Introduction to Mathematical Logic, Fourth ...
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Introduction to mathematical logic (3rd ed.)
Introduction to mathematical logic (3rd ed.) Purchase this Book · Purchase this Book. Source, Wadsworth And Brooks/Cole Mathematics Series archive ...
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An Introduction to Mathematical Logic and Type Theory: To Truth ...
Introduction to Mathematical Logic . D. Van Nostrand Company Ltd., Princeton, nj, 1964. [Mendelson, 1987] Elliott Mendelson. ...
gtps.math.cmu.edu/ tttp-preface.ps

Review: Elliott Mendelson, Introduction to Mathematical Logic
Elliott Mendelson, Introduction to Mathematical Logic. Full-text: Access via JSTOR (no additional login). Go to this article in JSTOR. Links and Identifiers ...
projecteuclid.org/ handle/ euclid.jsl/ 1183740628

PART II PAPER 07: MATHEMATICAL LOGIC
MENDELSON, E., Introduction to Mathematical Logic. 3rd edn (Pacific Grove, California:. Wadsworth, 1987). [§§ 7, 8, 11, 12, 13] ...

Theory and Practice of Formal Proofs
An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof . Computer Science and Applied Mathematics Series. Academic Press, 1986. ...
www.diku.dk/ undervisning/ 2000e/ e00.202/

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### About the author (1997)

Frank Ayres, Jr., Ph.D. (deceased) was formerly Professor and Head of the Department of Mathematics at Dickinson College, Carlisle, Pennsylvania. He is the coauthor of Schaum's Outline of Calculus, Schaum's Outline of Trigonometry, and Schaum's Outline of Mathematics.Elliott Mendelson (Roslyn, NY) is Professor of Mathematics at Queens College, CUNY. He is the coauthor of Schaum's Outline of Calculus and author of Schaum's Outline of Beginning Calculus.