Recent arguments for relativist semantic theories have centered on the phenomenon of “faultless disagreement.” This paper offers independent motivation for such theories, based on the interpretation of predicates of personal taste in certain attitude contexts and presuppositional constructions. It is argued that the correct interpretation falls out naturally from a relativist theory, but requires special stipulation in a theory which appeals instead to the use of hidden indexicals; and that a hidden indexical analysis presents problems for contemporary syntactic theory.