David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Synthese 147 (2):229-275 (2005)
In ‘belief revision’ a theory is revised with a formula φ resulting in a revised theory . Typically, is in , one has to give up belief in by a process of retraction, and φ is in . We propose to model belief revision in a dynamic epistemic logic. In this setting, we typically have an information state (pointed Kripke model) for the theory wherein the agent believes the negation of the revision formula, i.e., wherein is true. The revision with φ is a program *φ that transforms this information state into a new information state. The transformation is described by a dynamic modal operator [*φ], that is interpreted as a binary relation [ [*φ] ] between information states. The next information state is computed from the current information state and the belief revision formula. If the revision is successful, the agent believes φ in the resulting state, i.e., Bφ is then true. To make this work, as information states we propose ‘doxastic epistemic models’ that represent both knowledge and degrees of belief. These are multi-modal and multi-agent Kripke models. They are constructed from preference relations for agents, and they satisfy various characterizable multi-agent frame properties. Iterated, revocable, and higher-order belief revision are all quite natural in this setting. We present, for an example, five different ways of such dynamic belief revision. One can also see that as a non-deterministic epistemic action with two alternatives, where one is preferred over the other, and there is a natural generalization to general epistemic actions with preferences.
|Keywords||Philosophy Philosophy Epistemology Logic Metaphysics Philosophy of Language|
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
David K. Lewis (1973). Counterfactuals. Blackwell Publishers.
Carlos E. Alchourrón, Peter Gärdenfors & David Makinson (1985). On the Logic of Theory Change: Partial Meet Contraction and Revision Functions. Journal of Symbolic Logic 50 (2):510-530.
Jan Plaza (2007). Logics of Public Communications. Synthese 158 (2):165 - 179.
Citations of this work BETA
Ivano A. Ciardelli & Floris Roelofsen (2015). Inquisitive Dynamic Epistemic Logic. Synthese 192 (6):1643-1687.
Fernando R. Velázquez-Quesada (2014). Dynamic Epistemic Logic for Implicit and Explicit Beliefs. Journal of Logic, Language and Information 23 (2):107-140.
Alexandru Baltag & Sonja Smets (2008). Probabilistic Dynamic Belief Revision. Synthese 165 (2):179 - 202.
Hannes Leitgeb & Krister Segerberg (2007). Dynamic Doxastic Logic: Why, How, and Where To? Synthese 155 (2):167 - 190.
Eduardo Fermé & Sven Ove Hansson (2011). AGM 25 Years: Twenty-Five Years of Research in Belief Change. Journal of Philosophical Logic 40 (2):295 - 331.
Similar books and articles
Abhaya C. Nayak, Paul Nelson & Hanan Polansky (1996). Belief Change as Change in Epistemic Entrenchment. Synthese 109 (2):143 - 174.
Kevin T. Kelly (1999). Iterated Belief Revision, Reliability, and Inductive Amnesia. Erkenntnis 50 (1):11-58.
Gabriella Pigozzi, G. Boella, C. Costa Pereirdaa, A. Tettamanzi & and Leon van der Torre, Choosing Your Beliefs.
Johan van Benthem (2007). Dynamic Logic for Belief Revision. Journal of Applied Non-Classical Logics 17 (2):129-155.
Giacomo Bonanno (2008). Belief Revision in a Temporal Framework. In Krzysztof Apt & Robert van Rooij (eds.), New Perspectives on Games and Interaction. Amsterdam University Press
Hans P. Van Ditmarsch (2005). Prolegomena to Dynamic Logic for Belief Revision. Synthese 147 (2):229 - 275.
Added to index2009-01-28
Total downloads15 ( #175,574 of 1,726,249 )
Recent downloads (6 months)4 ( #183,615 of 1,726,249 )
How can I increase my downloads?