Mass Nouns and Plural Logic

Linguistics and Philosophy 31 (2):211 - 244 (2008)
Abstract
A dilemma put forward by Schein (1993, Plurals and events. Cambridge: MIT Press) and Rayo (2002, Nous, 36, 436-464) suggests that, in order to characterize the semantics of plurals, we should not use predicate logic, but plural logic, a formal language whose terms may refer to several things at once. We show that a similar dilemma applies to mass nouns. If we use predicate logic and sets when characterizing their semantics, we arrive at a Russellian paradox. And if we use predicate logic and mereological sums, the semantics turns out to be too weak. We then develop an account where mass nouns are treated as non-singular terms. This semantics is faithful to the intuition that, if there are eight pieces of silverware on a table, the speaker refers to eight things at once when he says: The silverware that is on the table comes from Italy. We show that this account provides a satisfactory semantics for a wide range of sentences
Keywords Mass nouns  Singular terms  Plurals  Plural logic  Mereology
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Brendan S. Gillon (2012). Mass Terms. Philosophy Compass 7 (10):712-730.
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