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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
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- PublisherCambridge University Press
- Publication date1996
- ISBN 10 0521479983
- ISBN 13 9780521479981
- BindingPaperback
- LanguageEnglish
- Edition number1
- Number of pages300
- Rating
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Set Theory, Logic and their Limitations
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ISBN 13: 9780521479981
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Set Theory, Logic and their Limitations
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Set Theory, Logic and their Limitations
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Set Theory, Logic and Their Limitations (Paperback)
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Paperback. Condition: new. Paperback. 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 Godel (the celebrated incompleteness theorems). For students of mathematics and philosophy, this book provides an excellent introduction to logic and set theory. 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 Godel (the celebrated incompleteness theorems). For students of mathematics and philosophy, this book provides an excellent introduction to logic and set theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521479981
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Set Theory, Logic and their Limitations
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