Algebraic Foundations for Inquisitive Semantics

  • Floris Roelofsen
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6953)

Introduction

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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Ciardelli, I.: Inquisitive semantics and intermediate logics, Master Thesis, ILLC University of Amsterdam (2009)Google Scholar
  2. 2.
    Ciardelli, I.: A first-order inquisitive semantics. In: Aloni, M., Bastiaanse, H., de Jager, T., Schulz, K. (eds.) Logic, Language and Meaning. LNCS, vol. 6042, pp. 234–243. Springer, Heidelberg (2010)CrossRefGoogle Scholar
  3. 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
  4. 4.
    Ciardelli, I., Roelofsen, F.: Inquisitive logic. Journal of Philosophical Logic 40(1), 55–94 (2011)MathSciNetCrossRefMATHGoogle Scholar
  5. 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. 6.
    Groenendijk, J., Roelofsen, F.: Inquisitive algebra and the disjunctive-indefinite-interrogative affinity. ILLC University of Amsterdam (2011) (manuscript)Google Scholar
  7. 7.
    Halmos, P.: Algebraic Logic. Chelsea Publishing Company, New York (1962)MATHGoogle Scholar
  8. 8.
    Henkin, L., Monk, J., Tarski, A.: Cylindric Algebras–Part I. North-Holland, Amsterdam (1971)MATHGoogle Scholar
  9. 9.
    Roelofsen, F.: Algebraic foundations for unrestircted inquisitive semantics: the finite case. ILLC University of Amsterdam (2011) (manuscript)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Floris Roelofsen
    • 1
  1. 1.Institute for Logic, Language, and ComputationUniversity of AmsterdamNetherlands

Personalised recommendations