Algebraic Foundations for Inquisitive Semantics
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.
KeywordsActual World Classical Logic Semantic Operator Informative Content Heyting Algebra
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- 1.Ciardelli, I.: Inquisitive semantics and intermediate logics, Master Thesis, ILLC University of Amsterdam (2009)Google Scholar
- 3.Ciardelli, I., Groenendijk, J., Roelofsen, F.: Attention! Might in inquisitive semantics. In: Ito, S., Cormany, E. (eds.) Proceedings of Semantics and Linguistic Theory, SALT XIX (2009)Google Scholar
- 5.Groenendijk, J., Roelofsen, F.: Inquisitive semantics and pragmatics. Presented at the Workshop on Language, Communication, and Rational Agency at Stanford (2009), www.illc.uva.nl/inquisitive-semantics
- 6.Groenendijk, J., Roelofsen, F.: Inquisitive algebra and the disjunctive-indefinite-interrogative affinity. ILLC University of Amsterdam (2011) (manuscript)Google Scholar
- 9.Roelofsen, F.: Algebraic foundations for unrestircted inquisitive semantics: the finite case. ILLC University of Amsterdam (2011) (manuscript)Google Scholar