“…a subset of) the denotation of the noun (e.g. a fake diamond is not a diamond), privative temporal adjectives, like "former", or "future" etc., modify a noun's meaning by restricting the times at which the modified noun gets the default denotation (a former president was a president in the past; for discussion, see Coulson & Fauconnier, 1999;Del Pinal, 2015;Kamp & Partee, 1995;McNally & Boleda, 2004;Partee, 2009Partee, , 2010. We refer to the first class as "modal" because, in intensional semantics, the meaning of these adjectives is captured in terms of possible worlds, or some other equivalent modal notions: a "fake president" is necessarily not a president, i.e.…”