Champollion, Lucas. 2015. Stratified reference: The common core of distributivity, aspect, and measurement.
To appear in Theoretical Linguistics.

[Full paper on lingbuzz]

Abstract:  Why can I tell you that I ran for five minutes but not that I *ran to the store for five minutes? Why can we talk about five pounds of books but not about *five pounds of book? What keeps you from saying *sixty degrees of water when you can say sixty inches of water? And what goes wrong when I complain that *all the ants in my kitchen are numerous? The constraints on these constructions involve concepts that are generally studied separately: aspect, plural and mass reference, measurement, distributivity, and collectivity. This paper provides a unified perspective on these domains and gives a single answer to the questions above in the framework of algebraic event semantics.

Keywords:  algebraic semantics, aspect, boundedness, collectivity, distributivity, mass, measurement, mereology, monotonicity, plural, partitives, telicity

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