In linguistics, the dominant approach to the semantics of plurals appeals to mereology. However, this approach has received strong criticisms from philosophical logicians who subscribe to an alternative framework based on plural logic. In the first part of the article, we offer a precise characterization of the mereological approach and the semantic background in which the debate can be meaningfully reconstructed. In the second part, we deal with the criticisms and assess their logical, linguistic, and philosophical significance. We identify four (...) main objections and show how each can be addressed. Finally, we compare the strengths and shortcomings of the mereological approach and plural logic. Our conclusion is that the former remains a viable and well-motivated framework for the analysis of plurals. (shrink)

Intuitively, collective nouns are pseudo-singular: a collection of things (a pair of people, a flock of birds, etc.) just is the things that make ‘it’ up. But certain facts about natural language seem to count against this view. In short, distributive predicates and numerals interact with collective nouns in ways that they seemingly shouldn’t if those nouns are pseudo-singular. We call this set of issues ‘the distribution problem’. To solve it, we propose a modification to cover-based semantics. On this semantics, (...) the interpretation of distributive predicates and numerals depends on a cover, where the choice of cover is strongly semantically constrained by the noun with which they interact. (shrink)

How do plurals and mass nouns refer? What kind of logic should be used in order to account for the truth-conditions of the sentences they appear in? For linguists, first-order predicate logic is adequate, provided it is supplemented by a notion of mereological sum for plurals and for mass nouns. On the contrary, according to some philosophers, new logics must be used, plural logic for plurals and mass logic for mass nouns. We survey these debates in this entry.

In this article, I show that the semantics one adopts for mass terms constrains the metaphysical claims one can make about mixtures. I first expose why mixtures challenge a singularist approach based on mereological sums. After discussing an alternative, non-singularist approach, I take chemistry into account and explain how it changes our perspective on these issues.