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.