Plural quantification logic: A critical appraisal

Review of Symbolic Logic 2 (1):208-232 (2009)
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Abstract

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 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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Hanoch Ben-Yami
Central European University

Citations of this work

QUARC and Classical Logic.Jonas Raab - 2026 - Studia Logica 114 (3):741-779.
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References found in this work

Pursuit of truth.Willard Van Orman Quine - 1992 - Cambridge: Harvard University Press.
Material Beings.Peter van Inwagen - 1990 - Ithaca, NY: Cornell University Press.

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