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TheL <ω-theory of the class of Archimedian real closed fields

TheL <ω-theory of the class of Archimedian real closed fields For the classA of uncountable Archimedian real closed fields we show that the statement “TheL <ω-theory ofA is complete” is independent of ZFC. In particular we have the following results: http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Archive for Mathematical Logic Springer Journals

TheL <ω-theory of the class of Archimedian real closed fields

Bürger, Gerd
Archive for Mathematical Logic , Volume 28 (3) – Apr 19, 2005
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References (9)

Publisher
Springer Journals
Copyright
Copyright © 1989 by Springer-Verlag
Subject
Mathematics; Mathematical Logic and Foundations; Mathematics, general; Algebra
ISSN
0933-5846
eISSN
1432-0665
DOI
10.1007/BF01622875
Publisher site
See Article on Publisher Site

Abstract

For the classA of uncountable Archimedian real closed fields we show that the statement “TheL <ω-theory ofA is complete” is independent of ZFC. In particular we have the following results:

Journal

Archive for Mathematical Logic – Springer Journals

Published: Apr 19, 2005

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