Set Theory

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  • Now in a new edition!--the classic presentation of the theory of computable functions in the context of the foundations of mathematics. Part I motivates the study of computability with discussions…
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    Computability: Computable Functions, Logic, and the Foundations of Mathematics

    By Epstein, Richard L. Advanced Reasoning Forum, June 2008 ISBN: 9780981550732 Philosophy, Logic Language:  English
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  • Short Introduction to Intuitionistic Logic

    By Mints, Grigori Springer, October 2000 ISBN: 9780306469756 Philosophy, Logic Language:  English
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  • This text unites the logical and philosophical aspects of set theory in a manner intelligible both to mathematicians without training in formal logic and to logicians without a mathematical…

    Abstract Sets and Finite Ordinals: An Introduction to the Study of Set Theory

    By G. Keene Dover Publications, July 2012 ISBN: 9780486155005 Mathematics, Set Theory Language:  English
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  • Here the authors formulate and explore a new axiom of set theory, CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated Sacks model and…
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    The Covering Property Axiom, CPA

    By Ciesielski, Krzysztof Cambridge University Press, August 2004 ISBN: 9780511208454 Mathematics, Combinatorics Language:  English
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  • Ramsey theory is a fast-growing area of combinatorics with deep connections to other fields of mathematics such as topological dynamics, ergodic theory, mathematical logic, and algebra. The area of…

    Introduction to Ramsey Spaces (AM-174)

    By Todorcevic, Stevo rating of short cover   ( 1 customer rating) Princeton University Press, July 2010 ISBN: 9781400835409 Mathematics, Combinatorics Language:  English
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  • This book makes a significant inroad into the unexpectedly difficult question of existence of Fréchet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the…

    Frechet Differentiability of Lipschitz Functions and Porous Sets in Banach Spaces…

    Annals of Mathematics Studies By David Preiss, Jaroslav Ti?er, Joram… rating of short cover   ( 1 customer rating) Princeton University Press, February 2012 ISBN: 9781400842698 Mathematics, Vector Analysis Language:  English
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  • This clear and well-developed approach to axiomatic set theory is geared toward upper-level undergraduates and graduate students. It examines the basic paradoxes and history of set theory and advanced…

    Axiomatic Set Theory

    By Patrick Suppes Dover Publications, May 2012 ISBN: 9780486136875 Mathematics, Set Theory Language:  English
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    7 7
  • REA’s Essentials provide quick and easy access to critical information in a variety of different fields, ranging from the most basic to the most advanced. As its name implies, these concise…

    Set Theory Essentials

    By Emil Milewski Research & Education Association, May 2012 ISBN: 9780738672069 Mathematics, Set Theory Language:  English
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  • Geared toward upper-level undergraduate and graduate students, this text consists of two parts: the first covers pure set theory, and the second deals with applications and advanced topics (point set…

    Basic Set Theory

    By Azriel Levy Dover Publications, June 2012 ISBN: 9780486150734 Mathematics, Set Theory Language:  English
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  • This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines…

    The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise

    By Mary Tiles Dover Publications, March 2012 ISBN: 9780486138558 Mathematics, Set Theory Language:  English
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