Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
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)
Hansson, S.O.: Logic of Belief Revision. Stanford Encyclopedia of Philosophy (Winter) (2014), http://plato.stanford.edu/archives/win2014/entries/logic-belief-revision/
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)
Kratzer, A.: Modals and Conditionals. Oxford University Press (2012)
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.17.157-182
Lin, H.: Acceptance-Conditional Semantics & Modality-Disjunction Interaction. In: USC Deontic Modality Workshop (2013)
Liu, F.: Reasining About Preference Dynamics. Springer, Dordrecht (2011)
MacFarlane, J.: Epistemic Modals are Assessment-Sensitive. In: Egan, A., Weatherson, B. (eds.) Epistemic Modality, pp. 144–179. Oxford University Press (2011a)
MacFarlane, J.: What Is Assertion?. In: Brown, J., Cappelen, H. (eds.) Assertion: New Philosophical Essays, pp. 79–97. Oxford University Press (2011b)
MacFarlane, J.: Assessment Sensitivity. Oxford University Press (2014), doi:10.1093/acprof:oso/9780199682751.001.0001
Papafragou, A.: Epistemic modality and truth conditions. Lingua 116(10), 1688–1702 (2006), doi:10.1016/j.lingua.2005.05.009
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)
van Benthem, J.: Logical Dynamics of Information and Interaction. Cambridge University Press, Cambridge (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)
Yalcin, S.: Epistemic Modals. Mind 116(464), 983–1026 (2007), doi:10.1093/mind/fzm983
Yalcin, S.: Nonfactualism About Epistemic Modality. In: Egan, A., Weatherson, B. (eds.) Epistemic Modality, ch.10, pp. 295–332. Oxford University Press, Oxford (2011)
Zimmermann, T.E.: Free Choice Disjunction and Epistemic Possibility. Natural Language Semantics 8, 255–290 (2000)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hawke, P., Steinert-Threlkeld, S. (2015). Informational Dynamics of ‘Might’ Assertions. In: van der Hoek, W., Holliday, W., Wang, Wf. (eds) Logic, Rationality, and Interaction. LORI 2015. Lecture Notes in Computer Science(), vol 9394. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-48561-3_12
Download citation
DOI: https://doi.org/10.1007/978-3-662-48561-3_12
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-48560-6
Online ISBN: 978-3-662-48561-3
eBook Packages: Computer ScienceComputer Science (R0)