  However, a difficulty appears with negation (Roeper 1983; Lønning 1987; Higginbotham 1994). Consider a positive sentence of the form The M P and its negation The M not P, where M is a mass noun and P a predicate. For instance: The gold is in the safe and The gold is not in the safe. Imagine that the universe of discourse contains only two bits of gold, a and b, and their sum a∨b. Then under the mixed view, [gold] = {a, b, a∨b}, [the gold] = {a∨b}. Suppose further that only a is in the safe: [in the safe] = {a}. Given what we said in section 4: