 Consider a sorites paradox using the predicate ‘is on Everest’ using the series of millimetre discriminations along a line from its peak to the valley floor below. The first point (the summit) is clearly on Everest. The last (in the valley) clearly is not. And there is no clear point in between where we would draw the sharp boundary separating the mountain from its surrounds. The vagueness or indeterminacy that underwrites this sorites paradox is, on this approach, not a result of epistemic limitations, nor a result of indeterminacy in Everest itself but, rather, arises as a result of indeterminacy surrounding what to count as the referent of the term. According to the supervaluationist, vagueness is a matter of semantic indecision, as it is frequently put. In the case to hand, there is simply no fact of the matter as to exactly what portion of earth is referred to. There is a range of admissible candidates, all with equal claim to be Everest, amongst which we have simply not decided, nor (to paraphrase Lewis) is anyone stupid enough to try. In such a case, overlapping the problem of the many (see the entry on the problem of the many), the theory commits to a singular term ‘Everest’, though apparently a denoting phrase, lacking any unique determinate referent. This accords with Russell’s much earlier analysis of vagueness as “one-manyness in denotation”.