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The axiomatic theory of sets is a vibrant part of pure mathematics, with its own basic notions, fundamental results, and deep open problems. At the same time, it is often viewed as a foundation of mathematics so that in the most prevalent, current mathematical practice "to make a notion precise" simply means "to define it in set theory." This book tries to do justice to both aspects of the subject: it gives a solid introduction to "pure set theory" through transfinite recursion and the construction of the cumulative hierarchy of sets (including the basic results that have applications to computer science), but it also attempts to explain precisely how mathematical objects can be faithfully modeled within the universe of sets.
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Previews available in: English
Edition | Availability |
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1
Notes on Set Theory (Undergraduate Texts in Mathematics)
Jun 15, 2006, Springer New York
0387316094 9780387316093
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2
Notes on Set Theory (Undergraduate Texts in Mathematics)
December 8, 2005, Springer
in English
038728723X 9780387287232
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3
Notes on Set Theory (Undergraduate Texts in Mathematics)
December 21, 2005, Springer
in English
0387287221 9780387287225
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Book Details
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Includes index.
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Feedback?July 25, 2024 | Edited by MARC Bot | import existing book |
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