Abstract
Some years ago, we proposed a generalization of the well-known approach to belief revision due to Peter Gärdenfors (cf. Gärdenfors 1988). According to him, for each theory G (i.e., each set of propositions closed under logical consequence) and each proposition A, there is a unique theory, G*A, which would be the result of revising G with A as new piece of information. There is a unique theory which would constitute the revision of G with A. Thus, belief revision is seen as a function. Our proposal was to view belief revision as a relation rather than as a function on theories. The idea was to allow for there being several equally reasonable revisions of a theory with a given proposition. If G and H are theories, and A is a proposition, then GRAH is to be read as: H is an admissible revision of G with A. (Cf. Lind-ström and Rabinowicz, 1989 and 1990.)
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Alchourrón, C.E., Gärdenfors, P., and Makinson, D. (1985): “On the Logic of Theory Change: Partial Meet Contraction and Revision Functions”, Journal of Symbolic Logic 50, pp. 510–30.
Gärdenfors, P. (1988): Knowledge in Flux: Modelling the Dynamics of Epistemic States, Bradford Books, MIT Press.
Grove, A. (1988): “Two Modellings for Theory Change”, Journal of Philosophical Logic 17, pp. 157–70.
Hansson, S.O. (1991): “Belief Contraction without Recovery”, in S.O. Hansson, Belief Base Dynamics, Acta Universitatis Uppsaliensis, Uppsala, pp. 2:1–2:12.
Harper, W.L. (1977): “Rational conceptual change”, in PSA 1976, East Lansing, Mich.: Philosophy of Science Association, vol. 2, pp. 462–94.
Levi, I. (1980): The Enterprise of Knowledge,MIT Press.
Lindström, S., and Rabinowicz, W. (1989): “On Probabilistic Representation of Non-Probabilistic Belief Revision”, Journal of Philosophical Logic 18, pp. 69–101.
Lindström, S., and Rabinowicz, W. (1990): “Belief revision, Epistemic Conditionals and the Ramsey Test”, forthcoming in Synthese.
Lindström, S., and Rabinowicz, W. (1991): “Epistemic Entrenchment with Incomparabili-ties and Relational Belief Revision”, in André Fuhrmann and Michael Morceau (eds.), The Logic of Theory Change, Lecture Notes in Artificial Intelligence no. 465, Springer-Verlag, Berlin Heidelberg, pp. 93–126.
Niederée, R. (1991): “Multiple Contraction. A further case against Gärdenfors’ Principle of Recovery”, in Fuhrmann and Morreau, op. cit., pp. 322–34.
Rott, H. (1989): “Two Methods of Contractions and Revisions of Knowledge Systems”, in Michael Morreau (ed.), Proceedings of the Tübingen Workshop on Semantic Networks and Non-Monotonic Reasoning, vol. 1, SNS-Bericht 89–48, Tübingen, pp. 28–47.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1994 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Rabinowicz, W., Lindström, S. (1994). How to Model Relational Belief Revision. In: Prawitz, D., Westerståhl, D. (eds) Logic and Philosophy of Science in Uppsala. Synthese Library, vol 236. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8311-4_5
Download citation
DOI: https://doi.org/10.1007/978-94-015-8311-4_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4365-8
Online ISBN: 978-94-015-8311-4
eBook Packages: Springer Book Archive