Informational dynamics of epistemic possibility modals

Peter HAWKE*, Shane STEINERT-THRELKELD

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

2 Citations (Scopus)

Abstract

We investigate, in a logical setting, the expressivist 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 novel 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 (partial) doxastic state, and propose a fully general and intuitive update operation as a model of an agent coming to accept an arbitrary assertion. Leaving a comprehensive philosophical and linguistic defense for elsewhere, we explore technical aspects of our framework, providing, for instance, a complete logic of assertability and reduction axioms for the novel update operations related to our proposal. Finally, we contrast our work with related proposals in the logic literature.

Original languageEnglish
Pages (from-to)4309-4342
Number of pages34
JournalSynthese
Volume195
Issue number10
DOIs
Publication statusPublished - 15 Oct 2018
Externally publishedYes

Bibliographical note

Funding Information:
The authors wish to thank the following people for providing comments that helped in the development of this paper (of course, any remaining errors or other infelicities in the paper remain the authors? sole responsibility): the audience at LORI-V, Rob Bassett, Johan van Benthem, Michael Cohen, Cleo Condoravdi, Sophie Dandelet, Tom Donaldson, Melissa Fusco, Lelia Glass, Dave Gottlieb, Thomas icard, David Israel, Lauri Kartunnen, Dan Lassiter, Meica Magnani, Katy Meadows, Prerna Nadathur and Seth Yalcin. Special thanks to our anonymous referees and Alex Kocurek for very detailed comments. Thanks to the organizers of LORI-V and especially to Wen-fang Wang. This paper was developed at the Logical Dynamics Lab at CSLi, Stanford University. The current paper substantially extends and refines (Hawke and Steinert-Threlkeld 2015a).

Publisher Copyright:
© 2016, Springer Nature B.V.

Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.

Keywords

  • Assertability logic
  • Assertion
  • Doxastic update
  • Epistemic modality
  • Epistemic possibility
  • Information dynamics

Fingerprint

Dive into the research topics of 'Informational dynamics of epistemic possibility modals'. Together they form a unique fingerprint.

Cite this