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Universal Quantifiers

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Authors
Joh, Yoon-Kyoung
Issue Date
2010
Publisher
서울대학교 언어교육원
Citation
어학연구, Vol.46 No.2, pp. 123-145
Keywords
universal quantifierexistential quantifierdistributivitymaximalitycollectivity
Abstract
This paper refutes the traditional approach that translates all, every, and each uniformly into a universal quantifier and claims that every and each correspond to ∀∃ in logic whereas all simply amounts to ∀. This contrast directly accounts for the grammatical number that the quantifiers are associated with. Furthermore, to address various different properties observed between each and every, I claim that each is necessarily translated into ∀∃ but every is optionally so. In arguing so, I further show that, in the case of each, what has been described as a collective reading has the ∃∀∃-structure while the collective interpretation of every can be expressed as ∃∀.
ISSN
0254-4474
Language
English
URI
http://hdl.handle.net/10371/86455
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Language Education Institute (언어교육원)Language Research (어학연구)Language Research (어학연구) Volume 46 Number 1/2 (2010)
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