Dialectica 67 (1):81-102 (2013)

Authors
Hanoch Ben-Yami
Central European University
Abstract
In recent literature on plurals the claim has often been made that the move from singular to plural expressions can be iterated, generating what are occasionally called higher-level plurals or superplurals, often correlated with superplural predicates. I argue that the idea that the singular-to-plural move can be iterated is questionable. I then show that the examples and arguments intended to establish that some expressions of natural language are in some sense higher-level plurals fail. Next, I argue that these and some other expressions should instead be classified as plurals whose reference is articulated, an idea explained and elaborated in the paper. I also show that the related categories of plural and superplural predicates collapse to that of ordinary predicates. In the process we also see that the law of substitutivity salva veritate should be elaborated for cases involving expressions more complex than singular ones
Keywords plural logic  higher-level plurals  salva veritate
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DOI 10.1111/1746-8361.12013
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References found in this work BETA

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
Reference and Generality.P. T. Geach - 1962 - Ithaca: Cornell University Press.
Plural Predication.Thomas McKay - 2006 - Oxford, England: Oxford University Press.
Absolute Generality.Agustín Rayo & Gabriel Uzquiano (eds.) - 2006 - Oxford and New York: Oxford University Press.

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Citations of this work BETA

Plural Quantification.Ø Linnebo - 2008 - Stanford Encyclopedia of Philosophy.
Plurals and Mereology.Salvatore Florio & David Nicolas - 2021 - Journal of Philosophical Logic 50 (3):415-445.
Groups as Pluralities.John Horden & Dan López de Sa - 2020 - Synthese 198 (11):10237-10271.
Plural Logic and Sensitivity to Order.Salvatore Florio & David Nicolas - 2015 - Australasian Journal of Philosophy 93 (3):444-464.

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