Tropes, Intensional Relative Clauses, and the Notion of a Variable Object

NPs with intensional relative clauses such as the impact of the book John needs to write pose a significant challenge for trope theory (the theory of particularized properties), since they seem to refer to tropes that lack an actual bearer. I will propose a novel semantic analysis of such NPs on the basis of the notion of a variable object. This analysis avoids a range of difficulties that an alternative analysis based on the notion of an individual concept would face.