Stratified reference: The common core of distributivity, aspect, and measurement

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 Celsius 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.