Full Idea
There is no reason for wanting a sharp distinction between concrete and abstract objects.
Gist of Idea
We don't need a sharp concrete/abstract distinction
Source
Michael Dummett (Frege Philosophy of Language (2nd ed) [1973], Ch.14)
Book Reference
Dummett,Michael: 'Frege Philosophy of Language' [Duckworth 1981], p.494
A Reaction
This rather depends on your ontology. If you are happy for reality to be full of weird non-physical entities, then the blurring won't bother you. If the boundary is blurred but still real, it is a very interesting one.