Items related to Set Theory, Logic and their Limitations
Synopsis
In this introduction to set theory and logic, the author discusses first order logic, and gives a rigorous axiomatic presentation of Zermelo-Fraenkel set theory. He includes many methodological remarks and explanations, and demonstrates how the basic concepts of mathematics can be reduced to set theory. He explains concepts and results of recursion theory in intuitive terms, and reaches the limitative results of Skolem, Tarski, Church and Gödel (the celebrated incompleteness theorems). For students of mathematics and philosophy, this book provides an excellent introduction to logic and set theory.
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Book Description
This introduction to set theory and logic discusses first order logic, and provides a rigorous axiomatic presentation of Zermelo-Fraenkel set theory. It includes many methodological remarks and explanations, demonstrating how the basic concepts of mathematics can be reduced to set theory.
Review
"...a concise and polished text..." J.M. Plotkin, Mathematical Reviews
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date1996
- ISBN 10 0521474930
- ISBN 13 9780521474931
- BindingHardcover
- LanguageEnglish
- Number of pages298
- Rating
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