Plural Quantification Logic: A Critical Appraisal

TitlePlural Quantification Logic: A Critical Appraisal
Publication TypeJournal Article
AuthorsBen-Yami, H.
Journal titleReview of Symbolic Logic

I first show that most authors who developed Plural Quantification Logic (PQL) argued it could capture various features of natural language better than can other logic systems. I then show that it fails to do so: it radically departs from natural language in two of its essential features; namely, in distinguishing plural from singular quantification and in its use of an ‘is-one-of’ relation. Next, I sketch a different approach that is more adequate than PQL for capturing plural aspects of natural language semantics and logic. I conclude with a criticism of the claim that PQL should replace natural language for specific philosophical or scientific purposes.

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