 As Keefe (2000: ch. 7.1) points out, supervaluationism thus understood nonetheless makes true the claim that there is but one (sharply bounded) Mt Everest (thus claiming a solution to the problem of the many, and to the foregoing sorites paradox since it is true that there is a sharp cut-off point to being on Everest) even if there is no one (sharply bounded) mountain of which it is true that it is the thing referred to by ‘Everest’ (and thus no point on the mountain of which we can say that it is truly the cut-off point). There is but one Everest but there is no fact of the matter what it is.