A rate analysis of the binominal each
Linmin Zhang, NYU

Such English sentences as "John should meet three professors" have two readings: (i) the individual reading: there are three people that John should meet; (ii) the cardinal reading: the number of people that John will meet should be three (Szabolcsi 2010). These two readings are also available for adverbial each sentences: John and Mary should each invite two celebrities. However, different from these sentences, binominal each sentences ("John and Mary should invite two celebrities each") have only the cardinal reading. Moreover, apart from apparent semantic similarities between adverbial each sentences and binominal each sentences in most cases, binominal each sentences have many special properties both in syntax and in semantics, and most essentially, binominal each sentences have the counting quantifier requirement. In this paper, I will first show syntactic and semantic differences between binominal each sentences and adverbial each sentences, and then I will argue that the existing distributivity analyses (e.g. Balusu 2005, Champollion 2012) for adverbial each sentences are not applicable for binominal each sentences. Instead, I would like to draw an analogy between "number + NP + each" and "number + km + per hour" and analyze both of these two constructions as a rate expression.