# 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

User Review  - Kristina - Goodreads

I list this book as "currently reading" even though I've read it before because this is a book that, for better or for worse, you never stop reading. 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