A familiar strategy of argument to the effect that natural-language predicates are semantically context dependent rests on constructing what I term Travis cases: different contexts for the use of a predicate are imagined in which its semantic (typically, truth-conditional) properties are claimed to differ. I propose an account of the semantic properties of predicates that give rise to Travis cases; I then argue that the account underwrites a genuine alternative to the standard explanations of Travis cases to be found in (...) the literature; I close with a brief sketch of the connections, required by a fuller development of my account, among the semantic notion of a predicate’s content, the metaphysical notion of a property’s instantiation, and the cognitive notion of a language user’s perspective in using a predicate. (shrink)