Notes on set theory / Yiannis Moschovakis
Type de document : Livre numériqueCollection : Undergraduate texts in mathematicsLangue : anglais.Éditeur : New York : Springer, 2006ISBN: 9780387316093.ISSN: 2197-5604.Sujet MSC : 03-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematical logic and foundations03E30, Mathematical logic and foundations - Set theory, Axiomatics of classical set theory and its fragments
03E20, Mathematical logic and foundations - Set theory, Other classical set theory
03E15, Mathematical logic and foundations - Set theory, Descriptive set theory
03E25, Mathematical logic and foundations - Set theory, Axiom of choice and related propositionsEn-ligne : Springerlink
From the preface: "Perhaps the most important changes I have made are in small things, which (I hope) will make it easier to teach and learn from this book: simplifying proofs, streamlining notation and terminology, adding a few diagrams, rephrasing results (especially those justifying definition by recursion) to ease their applications, and, most significantly, correcting errors, typographical and other.
"The more substantial changes include:
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A proof of Suslin's theorem in Chapter 10, which has also been significantly massaged.
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A better exposition of ordinal theory in Chapter 12 and the addition of some material, including the basic facts about ordinal arithmetic.
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The last chapter, a compilation of solutions to the exercises in the main part of the book—in response to popular demand. This eliminates the most obvious, easy homework assignments, and so I have added some easy problems.''
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