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DECOMPOSING GENERALIZED QUANTIFIERS

Published online by Cambridge University Press:  01 October 2008

DAG WESTERSTÅHL
DAG WESTERSTÅHL*
Affiliation:
Department of Philosophy, University of Gothenburg
*
*DEPARTMENT OF PHILOSOPHY UNIVERSITY OF GOTHENBURG GOTHENBURG 405 30, SWEDEN E-mail:dag.westerstahl@phil.gu.se
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Abstract

This note explains the circumstances under which a type 〈1〉 quantifier can be decomposed into a type 〈1, 1〉 quantifier and a set, by fixing the first argument of the former to the latter. The motivation comes from the semantics of Noun Phrases (also called Determiner Phrases) in natural languages, but in this article, I focus on the logical facts. However, my examples are taken among quantifiers appearing in natural languages, and at the end, I sketch two more principled linguistic applications.

Type
Research Article
Information
The Review of Symbolic Logic , Volume 1 , Issue 3 , October 2008 , pp. 355 - 371
Copyright
Copyright © Association for Symbolic Logic 2008

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References

BIBLIOGRAPHY

Barker, C. (1995). Possessive Descriptions. Stanford, CA: CSLI Publications.Google Scholar
Barwise, J., & Cooper, R. (1981). Generalized quantifiers and natural language. Linguistics and Philosophy, 4, 159–219.CrossRefGoogle Scholar
Dalrymple, M., Kanazawa, M., Kim, Y., Mchombo, S., & Peters, S. (1998). Reciprocal expressions and the concept of reciprocity. Linguistics & Philosophy, 21, 159–210.CrossRefGoogle Scholar
Peters, S., & Westerståhl, D. (2006). Quantifiers in Language and Logic. Oxford, UK: Oxford University Press.Google Scholar
Peters, S., & Westerståhl, D. (in preparation). The semantics of possessive constructions.Google Scholar