Models of Peano Arithmetic
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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.
Format:Hardcover
Language:English
ISBN:019853213X
ISBN13:9780198532132
Release Date:February 1991
Publisher:Clarendon Press
Length:304 Pages
Weight:1.32 lbs.
Related Subjects
Literary Criticism Literary Criticism & Collections Math Mathematics Science & MathCustomer Reviews
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