Full Idea
The problem of vagueness is the problem of what logic is correct for vague concepts, and correspondingly what notions of truth and falsity are applicable to vague statements (does one need a continuum of degrees of truth, for example?).
Gist of Idea
What sort of logic is needed for vague concepts, and what sort of concept of truth?
Source
Timothy Williamson (Interview with Baggini and Stangroom [2001], p.153)
Book Reference
Baggini,J/Stangroom,J: 'New British Philosophy' [Routledge 2002], p.153
A Reaction
This certainly makes vagueness sound like one of the most interesting problems in all of philosophy, though also one of the most difficult. Williamson's solution is that we may be vague, but the world isn't.