Models of Peano Arithmetic (Oxford Logic Guides)

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New! This book is in the same immaculate condition as when it was published 1.4. Seller Inventory # 353-019853213X-new

About this title:

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.

Bibliographic Details

Title: Models of Peano Arithmetic (Oxford Logic ...
Publisher: Clarendon Press
Publication Date: 1991
Binding: Hardcover
Condition: New