Inquisitive Semantics: Two Possibilities for Disjunction Jeroen Groenendijk Abstract: We introduce an inquisitive semantics for a language of propositional logic, where the interpretation of disjunction is the source of inquisitiveness. Indicative conditionals and conditional questions are treated on a par both syntactically and semantically. The semantics comes with a new logical-pragmatical notion which judges and compares the compliance of responses to an initiative in inquisitive dialogue. Keywords: semantics; logic