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Model theory of the inaccessibility scheme

Model theory of the inaccessibility scheme Suppose L = { < , . . .} is any countable first order language in which < is interpreted as a linear order. Let T be any complete first order theory in the language L such that T has a κ-like model where κ is an inaccessible cardinal. Such T proves the Inaccessibility Scheme. In this paper we study elementary end extensions of models of the inaccessibility scheme. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

Model theory of the inaccessibility scheme

Archive for Mathematical Logic , Volume 50 (8) – Jun 4, 2011

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References (9)

Publisher
Springer Journals
Copyright
Copyright © 2011 by Springer-Verlag
Subject
Mathematics; Algebra; Mathematics, general; Mathematical Logic and Foundations
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/s00153-011-0242-y
Publisher site
See Article on Publisher Site

Abstract

Suppose L = { < , . . .} is any countable first order language in which < is interpreted as a linear order. Let T be any complete first order theory in the language L such that T has a κ-like model where κ is an inaccessible cardinal. Such T proves the Inaccessibility Scheme. In this paper we study elementary end extensions of models of the inaccessibility scheme.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Jun 4, 2011

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