Skip to main content
Log in

Inquisitive Logic

  • Published:
Journal of Philosophical Logic Aims and scope Submit manuscript

Abstract

This paper investigates a generalized version of inquisitive semantics. A complete axiomatization of the associated logic is established, the connection with intuitionistic logic and several intermediate logics is explored, and the generalized version of inquisitive semantics is argued to have certain advantages over the system that was originally proposed by Groenendijk (2009) and Mascarenhas (2009).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Balogh, K. (2009). Theme with variations: A context-based analysis of focus. Ph.D. thesis, University of Amsterdam.

  2. Chagrov, A., & Zakharyaschev, M. (1997). Modal logic. Oxford University Press.

  3. Ciardelli, I. (2008). A generalized inquisitive semantics. Term paper, University of Amsterdam.

  4. Ciardelli, I. (2009). Inquisitive semantics and intermediate logics. Master thesis, University of Amsterdam.

  5. Epstein, R., Carnielli, W., D’Ottaviano, I., Krajewski, S., & Maddux, R. (1995). The semantic foundations of logic. Propositional logics (Vol. 1). Oxford University Press.

  6. Grice, H. (1989). Studies in the way of words. Harvard University Press.

  7. Groenendijk, J. (1999). The logic of interrogation. In T. Matthews, & D. Strolovitch (Eds.), Semantics and linguistic theory (pp. 109–126).

  8. Groenendijk, J. (2008a). Inquisitive semantics and dialogue management. ESSLLI course notes. www.illc.uva.nl/inquisitive-semantics.

  9. Groenendijk, J. (2008b). Inquisitive semantics: Student version. Lecture notes for a graduate course at the University of Amsterdam. www.illc.uva.nl/inquisitive-semantics.

  10. Groenendijk, J. (2009). Inquisitive semantics: Two possibilities for disjunction. In P. Bosch, D. Gabelaia, & J. Lang (Eds.), Seventh international Tbilisi symposium on language, logic, and computation. Springer.

  11. Groenendijk, J., & Roelofsen, F. (2009). Inquisitive semantics and pragmatics. In J. M. Larrazabal, & L. Zubeldia (Eds.), Meaning, content, and argument: Proceedings of the ILCLI international workshop on semantics, pragmatics, and rhetoric. www.illc.uva.nl/inquisitive-semantics.

  12. Groenendijk, J., Stokhof, M., & Veltman, F. (1996). Coreference and modality. In S. Lappin (Ed.), Handbook of contemporary semantic theory (pp. 179–216). Blackwell, Oxford.

  13. Heyting, A. (1930). Die formalen regeln der intuitionistischen logik. In Sitzungberichte der preussischen akademie der wissenschaften (pp. 42–56).

  14. Kolmogorov, A. (1932). Zur deutung der intuitionistischen logik. Matematische Zeitschrift, 35, 58–65.

    Article  Google Scholar 

  15. Kreisel, G., & Putnam, H. (1957). Eine Unableitbarkeitsbeweismethode für den intuitionistischen Aussagenkalkül. Archiv für Mathematische Logik und Grundlagenforschung, 3, 74–78.

    Article  Google Scholar 

  16. Maksimova, L. (1986). On maximal intermediate logics with the disjunction property. Studia Logica, 45, 69–75.

    Article  Google Scholar 

  17. Maksimova, L., Shetman, V., & Skvorcov, D. (1979). The impossibility of a finite axiomatization of Medvedev’s logic of finitary problems. Soviet Mathematics. Doklady, 20, 394–398.

    Google Scholar 

  18. Mancosu, P. (1998). From Brouwer to Hilbert: The debate on the foundations of mathematics in the 1920s. Oxford University Press.

  19. Mascarenhas, S. (2009). Inquisitive semantics and logic. Master Thesis, University of Amsterdam.

  20. Medvedev, J. T. (1962). Finite problems. Soviet Mathematics. Doklady, 3, 227–230.

    Google Scholar 

  21. Medvedev, J. T. (1966). Interpretation of logical formulas by means of finite problems. Soviet Mathematics. Doklady, 7, 857–860.

    Google Scholar 

  22. Miglioli, P., Moscato, U., Ornaghi, M., Quazza, S., & Usberti, G. (1989). Some results on intermediate constructive logics. Notre Dame Journal of Formal Logic, 30(4), 543–562.

    Article  Google Scholar 

  23. Sano, K. (2009). Sound and complete tree-sequent calculus for inquisitive logic. In Proceedings of the sixteenth workshop on logic, language, information, and computation. Available via www.illc.uva.nl/inquisitive-semantics.

  24. Stalnaker, R. (1978). Assertion. Syntax and Semantics, 9, 315–332.

    Google Scholar 

  25. ten Cate, B., & Shan, K. (2007). Axiomatizing Groenendijk’s logic of interrogation. In M. Aloni, A. Butler, & P. Dekker (Eds.), Questions in dynamic semantics (pp. 63–82). Elsevier.

  26. van Benthem, J. (2009). The information in intuitionistic logic. Synthese, 167(2), 251–270.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Floris Roelofsen.

Additional information

Financial support from the Netherlands Orginization for Scientific Research (NWO) is gratefully acknowledged.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ciardelli, I., Roelofsen, F. Inquisitive Logic. J Philos Logic 40, 55–94 (2011). https://doi.org/10.1007/s10992-010-9142-6

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10992-010-9142-6

Keywords

Navigation