Full Idea
I assume that there are two kinds of reference: reference to individuals and to properties. This means, from the syntactic point of view, that the vehicles of reference are exhaustively singular terms and predicates.
Gist of Idea
We refer to individuals and to properties, and we use singular terms and predicates
Source
Jerry A. Fodor (LOT 2 [2008], Ch.7)
Book Reference
Fodor,Jerry A.: 'LOT 2: the Language of Thought Revisited' [OUP 2008], p.199
A Reaction
The immediate possibility that comes to mind is plural quantification. See George Boolos, who confidently says that he can refer to 'some Cheerios' in his breakfast bowl, and communicate very well. He then looks to formalise such talk.