Authors
Jouko A Vaananen
University of Helsinki
Abstract
We study generalized quantifiers on finite structures.With every function : we associate a quantifier Q by letting Q x say there are at least (n) elementsx satisfying , where n is the sizeof the universe. This is the general form ofwhat is known as a monotone quantifier of type .We study so called polyadic liftsof such quantifiers. The particular lifts we considerare Ramseyfication, branching and resumption.In each case we get exact criteria fordefinability of the lift in terms of simpler quantifiers.
Keywords definability   generalized   quantifiers
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Reprint years 2004
DOI 10.1023/A:1008215718090
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References found in this work BETA

On Branching Quantifiers in English.Jon Barwise - 1979 - Journal of Philosophical Logic 8 (1):47 - 80.
Quantifiers in Formal and Natural Languages.Dag Westerståhl - 1989 - In Dov Gabbay & Franz Guenthner (eds.), Handbook of Philosophical Logic. Kluwer Academic Publishers. pp. 1--131.
Monadic Generalized Spectra.Ronald Fagin - 1975 - Mathematical Logic Quarterly 21 (1):89-96.

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Citations of this work BETA

Generalized Quantifiers.Dag Westerståhl - 2008 - Stanford Encyclopedia of Philosophy.
A Remark on Collective Quantification.Juha Kontinen & Jakub Szymanik - 2008 - Journal of Logic, Language and Information 17 (2):131-140.

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