The Logic and Meaning of Plurals. Part I

Journal of Philosophical Logic 34 (5-6):459-506 (2005)
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Abstract

Contemporary accounts of logic and language cannot give proper treatments of plural constructions of natural languages. They assume that plural constructions are redundant devices used to abbreviate singular constructions. This paper and its sequel, "The logic and meaning of plurals, II", aim to develop an account of logic and language that acknowledges limitations of singular constructions and recognizes plural constructions as their peers. To do so, the papers present natural accounts of the logic and meaning of plural constructions that result from the view that plural constructions are, by and large, devices for talking about many things (as such). The account of logic presented in the papers surpasses contemporary Fregean accounts in its scope. This extension of the scope of logic results from extending the range of languages that logic can directly relate to. Underlying the view of language that makes room for this is a perspective on reality that locates in the world what plural constructions can relate to. The papers suggest that reflections on plural constructions point to a broader framework for understanding logic, language, and reality that can replace the contemporary Fregean framework as this has replaced its Aristotelian ancestor

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Byeong-uk Yi
University of Toronto, Mississauga

Citations of this work

Construction area (no hard hat required).Karen Bennett - 2011 - Philosophical Studies 154 (1):79-104.
Reference to numbers in natural language.Friederike Moltmann - 2013 - Philosophical Studies 162 (3):499 - 536.
Plural quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.

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References found in this work

A System of Logic.John Stuart Mill - 1829/2002 - Longman.
Material Beings.Peter Van Inwagen - 1990 - Ithaca, N.Y.: Cornell University Press.
Philosophy of logic.Willard Van Orman Quine - 1986 - Cambridge: Harvard University Press. Edited by Simon Blackburn & Keith Simmons.
Principles of mathematics.Bertrand Russell - 1931 - New York,: W.W. Norton & Company.

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