we then obtain four readings, based on the two interpretations of each NP. No readings are ruled out, because both catching and being caught can be individual or collective occurrences. Some theorists would posit additional readings, but if these exist, they could be regarded as derivative from readings in which at least one of the terms is collectively interpreted. But what is uncontroversial is that plurals call for an enrichment in the semantic representation language to allow for collections as arguments. In an expression such as plur(child), both the plur operator, which transforms a predicate into another predicate, and the resulting collective predicate, are of nonstandard types.