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Hierarchies of monadic generalized quantifiers

Published online by Cambridge University Press:  12 March 2014

Kerkko Luosto
Kerkko Luosto*
Affiliation:
Department of Mathematics, P.O. Box 4 (Yliopistonkatu 5), Fin-00014, University of Helsinki, Finland E-mail: Kerkko.Luosto@Helsinki.Fi
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Abstract

A combinatorial criterium is given when a monadic quantifier is expressible by means of universe-independent monadic quantifiers of width n. It is proved that the corresponding hierarchy does not collapse. As an application, it is shown that the second resumption (or vectorization) of the Härtig quantifier is not definable by monadic quantifiers. The techniques rely on Ramsey theory.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 65 , Issue 3 , September 2000 , pp. 1241 - 1263
Copyright
Copyright © Association for Symbolic Logic 2000

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