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Full Idea
Supervaluationism cannot eliminate higher-order vagueness. It must conduct its business in a vague meta-language. ...[162] All truth is at least disquotational, and supertruth is not.
Gist of Idea
Supervaluationism cannot eliminate higher-order vagueness
Source
Timothy Williamson (Vagueness [1994], 5.6)
Book Ref
Williamson,Timothy: 'Vagueness' [Routledge 1996], p.161
A Reaction
This is Williamson's final verdict on the supervaluation strategy for vagueness. Intuitively, it looks as if merely narrowing down the vagueness (by some sort of consensus) is no solution to the problem of vagueness.