Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
Seller: GreatBookPrices, Columbia, MD, U.S.A.
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Published by College Publications, GB, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
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Published by College Publications, GB, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by Kings College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by College Publications 9/8/2009, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Paperback or Softback. Condition: New. The Foundations of Mathematics. Book.
Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by North Holland December 1983, 1983
ISBN 10: 0444868399 ISBN 13: 9780444868398
Language: English
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Published by North Holland 1983-12-01, 1983
ISBN 10: 0444868399 ISBN 13: 9780444868398
Language: English
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Published by North Holland 1983-12-01, 1983
ISBN 10: 0444868399 ISBN 13: 9780444868398
Language: English
Seller: Chiron Media, Wallingford, United Kingdom
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
Seller: moluna, Greven, Germany
Condition: New. KlappentextrnrnMathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general.nThis book is designed .
Published by College Publications, GB, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by Kings College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by Kings College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Published by College Publications, 2009
ISBN 10: 1904987141 ISBN 13: 9781904987147
Language: English
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general.This book is designed for students who plan to specialize in logic, as well as for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginning graduate-level course. There are three main chapters: Set Theory, Model Theory, and Recursion Theory. The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms. It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals. The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems, elementary submodels, model completeness, and applications to algebra. This chapter also continues the foundational issues begun in the set theory chapter. Mathematics can now be viewed as formal proofs from ZFC. Also, model theory leads to models of set theory. This includes a discussion of absoluteness, and an analysis of models such as H(¿) and R(¿). The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness theorems of Gödel, and Tarski's theorem on the non-definability of truth.