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The theorems of beth and Craig in abstract model theory II. Compact logics

The theorems of beth and Craig in abstract model theory II. Compact logics Various compact logics such as stationary logic, positive logic, logics with various cardinality quantifiers and cofinality quantifiers are studied. Counterexamples to the theorems of Beth and Craig are given. Back and forth arguments are studied for the first two logics, transfer theorems presented for positive logic and a new compactness proof for the confinality quantifiers is given. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

The theorems of beth and Craig in abstract model theory II. Compact logics

Archive for Mathematical Logic , Volume 21 (1) – Jul 14, 2005

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References (23)

Publisher
Springer Journals
Copyright
Copyright © 1981 by Verlag W. Kohlhammer
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/BF02011631
Publisher site
See Article on Publisher Site

Abstract

Various compact logics such as stationary logic, positive logic, logics with various cardinality quantifiers and cofinality quantifiers are studied. Counterexamples to the theorems of Beth and Craig are given. Back and forth arguments are studied for the first two logics, transfer theorems presented for positive logic and a new compactness proof for the confinality quantifiers is given.

Journal

Archive for Mathematical LogicSpringer Journals

Published: Jul 14, 2005

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