A First Journey through Logic
Sep 2019 · Student Mathematical Library Book 89 · American Mathematical Soc.
Ebook
185
Pages
About this ebook
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.
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...
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About the author
Martin Hils: Westfälische Wilhelms-Universität Münster, Münster, Germany,
François Loeser: Sorbonne Université, Paris, France
Martin Hils: Westfälische Wilhelms-Universität Münster, Münster, Germany,
François Loeser: Sorbonne Université, Paris, France
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