Distributivity, Collectivity and Cumulativity

In the language of plurality introduced in this lecture, we will not yet incorporate a full treatment of verbs. So the language (and the analysis of plurality, in this respect) is poorer than Scha’s. For the moment, we won’t have functional abstraction, and we will have only one-place verbs, which -again for the moment - we will treat in the same way as nouns: as sets. We do have some plurality operators that Scha doesn’t have. In the next lecture, we will combine the present language of plurality with the language of events from lecture Two, to give a full treatment of verbs.