Skip to main content
Log in

The Surprise Examination in Dynamic Epistemic Logic

  • Published:
Synthese Aims and scope Submit manuscript

Abstract

We examine the paradox of the surprise examination using dynamic epistemic logic. This logic contains means of expressing epistemic facts as well as the effects of learning new facts, and is therefore a natural framework for representing the puzzle. We discuss a number of different interpretations of the puzzle in this context, and show how the failure of principle of success, that states that sentences, when learned, remain to be true and come to be believed, plays a central role in understanding the puzzle.

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

  • C. E. Alchourrón P. Gärdenfors D. Makinson (1985) ArticleTitleOn the logic of theory change: partial meet contraction and revision functions Journal of Symbolic Logic 50 510–530 Occurrence Handle10.2307/2274239

    Article  Google Scholar 

  • Baltag, A.: 2003, Logics for communication: reasoning about information flow in dialogue games. Lecture notes for NASSLLI 2003, http://www.indiana.edu/nasslli/program.html .

  • A. Baltag L. S. Moss (2004) ArticleTitleLogics for epistemic programs Synthese 139 IssueID2 165–224 Occurrence Handle10.1023/B:SYNT.0000024912.56773.5e

    Article  Google Scholar 

  • R. Binkley (1969) ArticleTitleThe surprise examination in modal logic Journal of Philosphy 65 127–136 Occurrence Handle10.2307/2024556

    Article  Google Scholar 

  • T. Y. Chow (1998) ArticleTitleThe surprise examination or unexpected hanging paradox American Mathematical Monthly 105 IssueID1 41–51 Occurrence Handle10.2307/2589525

    Article  Google Scholar 

  • Gerbrandy, J.: 1998, Bisimulations on planet Kripke. Ph.D. thesis, Universiteit van Amsterdam. ILLC Dissertation Series DS-1999-01.

  • J. Gerbrandy W. Groeneveld (1997) ArticleTitleReasoning about Information Change Journal of Logic, Language and Information 6 IssueID2 147–169 Occurrence Handle10.1023/A:1008222603071

    Article  Google Scholar 

  • A. S. Gillies (2001) ArticleTitleA new solution to Moore’s paradox Philosophical Studies 105 237–250 Occurrence Handle10.1023/A:1010361708803

    Article  Google Scholar 

  • J. Halpern Y. Moses (1986) ArticleTitleTaken by surprise: the paradox of the surprise test revisited Journal of Phosophical Logic 15 IssueID3 281–304

    Google Scholar 

  • Heim, I.: 1982, On the semantics of definite and indefinite noun phrases. Ph.D. thesis, University of Amherst.

  • Landman, F.: 1986, Towards a theory of information. Ph.D. thesis, Universiteit van Amsterdam. Also appeared as GRASS 6 with Foris Publications, Dordrecht, Holland/Cinnaminson, U.S.A.

  • Montague, R. and R. Kaplan: 1960, A paradox regained. Notre Dame Journal of Formal Logic 3.

  • J. Plaza (1989) Logics of public communications M. Emrich M. Pfeifer M. Hadzikadic Z. Ras (Eds) Proceedings of the 4th International Symposium on Methodologies for Intelligent Systems Academic Press New York 201–216

    Google Scholar 

  • E. Sober (1998) ArticleTitleTo give a surprise exam, use game theory Synthese 115 355–373 Occurrence Handle10.1023/A:1005012607804

    Article  Google Scholar 

  • Sorensen, R.: 1988, Blindspots. Clarendon Press.

  • R. C. Stalnaker (1978) Assertion P. Cole (Eds) Pragmatics (Syntax and Semantics 9) Academic Press New York 315–312

    Google Scholar 

  • J. Benthem Particlevan (1997) ArticleTitleOn what one may come to know Analysis 64 IssueID2 95–105 Occurrence Handle10.1111/j.1467-8284.2004.00467.x

    Article  Google Scholar 

  • H. Ditmarsch Particlevan B. Kooi (2006) ArticleTitleThe secret of my success Synthese 151 IssueID2 201–232 Occurrence Handle10.1007/s11229-005-3384-9

    Article  Google Scholar 

  • P. Emde Boas Particlevan J. Groenendijk M. Stokhof (1984) The Conway paradox: its solution in an epistemic framework J. Groenendijk T. M. V. Janssen M. Stokhof (Eds) Truth, Interpretation and Information: Selected Papers from the Third Amsterdam Colloquium Foris Publications Dordrecht 159–182

    Google Scholar 

  • F. Veltman (1996) ArticleTitleDefaults in update semantics Journal of Philosophical Logic 25 221–261 Occurrence Handle10.1007/BF00248150

    Article  Google Scholar 

  • C. Wright A. Sudbury (1977) ArticleTitleThe paradox of the unexpected examination Australasian Journal of Philosophy 55 41–58 Occurrence Handle10.1080/00048407712341031

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to J. Gerbrandy.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gerbrandy, J. The Surprise Examination in Dynamic Epistemic Logic. Synthese 155, 21–33 (2007). https://doi.org/10.1007/s11229-005-2211-7

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11229-005-2211-7

Keywords

Navigation