Fitting, M.
Incompleteness in the Land of Sets
- ISBN 13:
- 9781904987345
- author:
- Fitting, M.
- format:
- Paperback
- publisher:
- College Publications
- language:
- English
- Publication Year:
- 2007
- Pages:
- 156
- Dimensions:
- 156 mm X 234 mm
- Genre:
- Set theory
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
Incompleteness in the Land of Sets by Melvin Fitting explores a fundamental paradox at the heart of mathematics: Russell's paradox. This thought-provoking work examines how logical formulas define sets, and the implications that arise when certain formulas do not belong to the set they define.
The book delves into the basic incompleteness and undecidability theorems of mathematical logic in the framework of set theory, providing a comprehensive presentation of these key results. The author assumes little technical background from the reader, instead developing and formally proving all necessary concepts from Tarski's Theorem to Gödel's Second Incompleteness Theorem.
With exercises scattered throughout, this book is an ideal resource for those looking to understand the foundations of mathematical logic. Its accessible approach makes it a valuable addition to any mathematics or philosophy library.
Related Products
Related Products
All Incomplete
Harney, Stefano
Incomplete Shakespeare: Macbeth
John Crace , John Sutherland
The Incomplete Framley Examiner
Editors, The
The Incomplete Framley Examiner
Editors, The
An Incomplete Guide to the Future
Willis W. Harman