Models of Peano Arithmetic (Oxford Logic Guides)

Kaye, Richard

Published by Oxford University Press, 1991
ISBN 10: 019853213X / ISBN 13: 9780198532132
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Synopsis: Non-standard models of arithmetic are of interest to mathematicians through the presence of infinite integers and the various properties they inherit from the finite integers. Since their introduction in the 1930s, they have come to play an important role in model theory, and in combinatorics through independence results such as the Paris-Harrington theorem. This book is an introduction to these developments, and stresses the interplay between the first-order theory, recursion-theoretic aspects, and the structural properties of these models. Prerequisites for an understanding of the text have been kept to a minimum, these being a basic grounding in elementary model theory and a familiarity with the notions of recursive, primitive recursive, and r.e. sets. Consequently, the book is suitable for postgraduate students coming to the subject for the first time, and a number of exercises of varying degrees of difficulty will help to further the reader's understanding.

About the Author: Richard Kaye, Junior Research Fellow, Jesus College, Oxford.

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Title: Models of Peano Arithmetic (Oxford Logic ...
Publisher: Oxford University Press
Publication Date: 1991
Binding: Hard Cover
Book Condition: Very Good

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MODELS OF PEANO ARITHMETIC (HARDBACK) -
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Richard Kaye
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Book Description Oxford University Press, United Kingdom, 1991. Hardback. Condition: New. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. Nonstandard models of arithmetic are of interest to mathematicians through the presence of infinite (or nonstandard) integers and the various properties they inherit from the finite integers. Since their introduction in the 1930s (by Skolem and Godel ), they have come to play an important role in model theory, and in combinatorics through independence results such as the Paris-Harrington theorem. This book is an introduction to these developments, and stresses the interplay between the first-order theory, recursion-theoretic aspects, and the structural properties of these models. Prerequisites have been kept to a minimum. A basic grounding in elementary model theory and a familiarity with the notions of recursive, primitive recursive, and r.e. sets will be sufficient. Consequently, the book should be suitable for postgraduate students coming to the subject for the first time and a variety of exercises of varying degrees of difficulty will help to further the reader s understanding. Beginning with Godel s incompleteness theorem, the book covers the prime models, cofinal extensions, end extensions, Gaifman s construction of a definable type, Tennenbaum s theorem, Friedman s theorem and subsequent work on indicators, and culminates in a chapter on recursive saturation and resplendency. Seller Inventory # BTE9780198532132

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Richard Kaye
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Book Description Clarendon Press, 1991. Hardcover. Condition: Good. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. May be ex-library. Shipping & Handling by region. Buy with confidence, excellent customer service!. Seller Inventory # 019853213X

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Richard Kaye
Published by Clarendon Press (1991)
ISBN 10: 019853213X ISBN 13: 9780198532132
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Book Description Clarendon Press, 1991. Hardcover. Condition: New. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. Buy with confidence, excellent customer service!. Seller Inventory # 019853213Xn

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Kaye, Richard
Published by Clarendon Press - Oxford, Fairlawn, New Jersey, U.S.A. (1991)
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Book Description Clarendon Press - Oxford, Fairlawn, New Jersey, U.S.A., 1991. Hard Cover. Condition: Very Good. This is an ex-university library book, but with only a few markings. Otherwise, the book appears lightly used and is very good with shelfwear and lightly bumped corners. There is no dust jacket (I believe it was issued without one). A nice example of a very scarce book. Ex-Library. Seller Inventory # 009408

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