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 Goedel, 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.
- ISBN10 0412069717
- ISBN13 9780412069710
- Publish Date 1 March 1987
- Publish Status Out of Print
- Out of Print 15 August 2010
- Publisher Taylor & Francis Ltd
- Imprint CRC Press
- Edition 3rd New edition
- Format Hardcover
- Pages 375
- Language English