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, Godel'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.
General
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