Logic, Rationality, and Interaction

Volume 6953 of the series Lecture Notes in Computer Science pp 233-243

Algebraic Foundations for Inquisitive Semantics

  • Floris RoelofsenAffiliated withInstitute for Logic, Language, and Computation, University of Amsterdam

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Traditionally, meaning is identified with informative content. The central aim of inquisitive semantics [1,2,4,5, a.o.] is to develop a notion of semantic meaning that embodies both informative and inquisitive content. To achieve this, the proposition expressed by a sentence ϕ, [ϕ], is not taken to be a set of possible worlds, but rather a set of possibilities, where each possibility in turn is a set of possible worlds. In uttering a sentence ϕ, a speaker provides the information that the actual world is contained in at least one possibility in [ϕ], and at the same time she requests enough information from other participants to establish for at least one possibility α ∈ [ϕ] that the actual world is contained in α.