Informational Dynamics of ‘Might’ Assertions

  • Peter HawkeEmail author
  • Shane Steinert-Threlkeld
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9394)


We investigate, in a logical setting, the proposal that assertion primarily functions to express and coordinate doxastic states and that ‘might’ fundamentally expresses lack of belief. We provide a formal model of an agent’s doxastic state and precise assertability conditions for an associated formal language. We thereby prove that an arbitrary assertion (including a complex of ‘might’ and ‘factual’ claims) always succeeds in expressing a well-defined doxastic state. We then propose a fully general and intuitive doxastic update operation as a model of an agent coming to accept an arbitrary assertion. We provide reduction axioms for some novel update operations related to this proposal.


Epistemic Modal Doxastic State Conditional Belief Assertability Condition Reduction Axiom 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. [Ciardelli et al.(2009)Ciardelli, Groenendijk, and Roelofsen]
    Ciardelli, I., Groenendijk, J., Roelofsen, F.: Attention! Might in Inquisitive Semantics. In: Proceedings of Semantics and Linguistic Theory (SALT) 19, no. 1, pp. 91–108 (2009)Google Scholar
  2. [Hansson(2014)]
    Hansson, S.O.: Logic of Belief Revision. Stanford Encyclopedia of Philosophy (Winter) (2014),
  3. [Kratzer(1981)]
    Kratzer, A.: The Notional Category of Modality. In: Eikmeyer, H.-J., Rieser, H. (eds.) Words, Worlds, and Context, pp. 38–74. Walter de Gruyter (1981)Google Scholar
  4. [Kratzer(2012)]
    Kratzer, A.: Modals and Conditionals. Oxford University Press (2012)Google Scholar
  5. [van Benthem and Liu(2007)]
    van Benthem, J., Liu, F.: Dynamic logic of preference upgrade. Journal of Applied Non-Classical Logics 17(2), 157–182 (2007), doi:10.3166/jancl.17.157-182MathSciNetCrossRefzbMATHGoogle Scholar
  6. [Lin(2013)]
    Lin, H.: Acceptance-Conditional Semantics & Modality-Disjunction Interaction. In: USC Deontic Modality Workshop (2013)Google Scholar
  7. [Liu(2011)]
    Liu, F.: Reasining About Preference Dynamics. Springer, Dordrecht (2011)CrossRefGoogle Scholar
  8. [MacFarlane(2011a)]
    MacFarlane, J.: Epistemic Modals are Assessment-Sensitive. In: Egan, A., Weatherson, B. (eds.) Epistemic Modality, pp. 144–179. Oxford University Press (2011a)Google Scholar
  9. [MacFarlane(2011b)]
    MacFarlane, J.: What Is Assertion?. In: Brown, J., Cappelen, H. (eds.) Assertion: New Philosophical Essays, pp. 79–97. Oxford University Press (2011b)Google Scholar
  10. [MacFarlane(2014)]
    MacFarlane, J.: Assessment Sensitivity. Oxford University Press (2014), doi:10.1093/acprof:oso/9780199682751.001.0001Google Scholar
  11. [Papafragou(2006)]
    Papafragou, A.: Epistemic modality and truth conditions. Lingua 116(10), 1688–1702 (2006), doi:10.1016/j.lingua.2005.05.009CrossRefGoogle Scholar
  12. [Rott(2009)]
    Rott, H.: Shifting Priorities: Simple Representations for Twenty-seven Iterated Theory Change Operators. In: Makinson, D., Malinkowski, J., Wansing, H. (eds.) Towards Mathematical Philosophy. Trends in Logic, vol. 28, pp. 269–296. Springer, Dordrecht (2009)CrossRefGoogle Scholar
  13. [van Benthem(2011)]
    van Benthem, J.: Logical Dynamics of Information and Interaction. Cambridge University Press, Cambridge (2011)CrossRefzbMATHGoogle Scholar
  14. [von Fintel and Gillies(2011)]
    von Fintel, K., Gillies, A.S.: Might Made Right. In: Egan, A., Weatherson, B. (eds.) Epistemic Modality, pp. 108–130. Oxford University Press, Oxford (2011)CrossRefGoogle Scholar
  15. [Yalcin(2007)]
    Yalcin, S.: Epistemic Modals. Mind 116(464), 983–1026 (2007), doi:10.1093/mind/fzm983Google Scholar
  16. [Yalcin(2011)]
    Yalcin, S.: Nonfactualism About Epistemic Modality. In: Egan, A., Weatherson, B. (eds.) Epistemic Modality, ch.10, pp. 295–332. Oxford University Press, Oxford (2011)Google Scholar
  17. [Zimmermann(2000)]
    Zimmermann, T.E.: Free Choice Disjunction and Epistemic Possibility. Natural Language Semantics 8, 255–290 (2000)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2015

Authors and Affiliations

  1. 1.Department of PhilosophyStanford UniversityStandfordUSA

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