A First Journey through Logic
- Providence : American Mathematical Society, 2023
- xi, 185 p. ; ill., 22 cm
- Student mathematical library ; v.89 .
Includes bibliographical references and index.
The aim of this book is to present mathematical logic to students who are interested in what this field is but have no intention of specializing in it. The point of view is to treat logic on an equal footing to any other topic in the mathematical curriculum. The book starts with a presentation of naive set theory, the theory of sets that mathematicians use on a daily basis. Each subsequent chapter presents one of the main areas of mathematical logic: first order logic and formal proofs, model theory, recursion theory, Gödel's incompleteness theorem, and, finally, the axiomatic set theory. Each chapter includes several interesting highlights outside of logic when possible either in the main text, or as exercises or appendices. Exercises are an essential component of the book, and a good number of them are designed to provide an opening to additional topics of interest.
9781470452728
Logic Symbolic and mathematical Instructional exposition