Introduction to Mathematical Logic, Fourth Edition

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CRC Press, Jun 1, 1997 - Mathematics - 440 pages
6 Reviews
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

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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.

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