MODELS PEANO ARITH OLG 15 C

Name: MODELS PEANO ARITH OLG 15 C
Brand: Oxford University Press (UK)
Availability: OutOfStock
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Description

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 193s (by Skolem and Gödel ), 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 stressesthe 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 Gödel'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.

Product details

Edition:

1

Number of Pages:

304

Release Date:

1991-03-01

Publication Date:

2012-04-01

Publisher:

Oxford University Press (UK)

Languages:

Original: English

ISBN10:

019853213X

ISBN13:

9780198532132

GPSR Manufacturer Reference:

[email protected]

Weight:

622 g

Height:

161 cm

Width:

240 cm

Thickness:

21 cm

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