S-Space Language Education Institute (언어교육원) Language Research (어학연구) Language Research (어학연구) Volume 46 Number 1/2 (2010)
- Joh, Yoon-Kyoung
- Issue Date
- 서울대학교 언어교육원
- 어학연구, Vol.46 No.2, pp. 123-145
- 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 ∃∀.