Models of Peano Arithmetic

Name: Models of Peano Arithmetic
Brand: Oxford University Press, USA
SKU: 9780198532132
Price: 26356.0 INR
Availability: InStock

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ISBN13: 9780198532132
Binding: Hardcover
Subject: N/A
Publisher: Oxford University Press, USA
Publisher Imprint: Oxford University Press, USA
Publication Date: February 28, 1991
Pages: 304
Original Price: GBP 185.0
Language: English
Edition: N/A
Item Weight: 606 grams
BISAC Subject(s): Arithmetic

About The Book

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.

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