Algebraic Foundations for Inquisitive Semantics
- Cite this paper as:
- Roelofsen F. (2011) Algebraic Foundations for Inquisitive Semantics. In: van Ditmarsch H., Lang J., Ju S. (eds) Logic, Rationality, and Interaction. LORI 2011. Lecture Notes in Computer Science, vol 6953. Springer, Berlin, Heidelberg
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.
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