Abstract
The dynamics of (rational) belief has been one of the most expansive subjects in philosophical logic in the last decade. Much of the inspiration for this development was provided by Levi (1980) and by Alchourrón, Gärdenfors, and Makinson (the AGM model, Alchourrón et al. 1985 and Gärdenfors 1988). Following these authors, most workers in this field have employed models in which a state of belief is represented by a set of sentences that is closed under logical consequence.1 However, it was observed by Alchourrón and Makinson (1982, p. 21) that “the intuitive processes [of belief change] themselves, contrary to casual impressions, are never really applied to theories as a whole, but rather to more or less clearly identified bases for them.” (Cf. also Makinson 1987, p. 384.) In the last few years, formal properties of operations on bases have been investigated by Fuhrmann (1991), Hansson (1989, 1991, 1992a–c, 1993a–c), Nebel (1989, 1992), Nayak (1991), and Rott (1993a–b).
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
Alchourrón, Carlos E, and David Makinson (1982) “On the logic of theory change: Contraction functions and their associated revision functions”, Theoria, 48: 14–37.
Alchourrón, Carlos E, Peter Gärdenfors and David Makinson (1985) “On the logic of theory change: Partial meet functions for contraction and revision”, Journal of Symbolic Logic, 50: 510–530.
Cross, CB and RH Thomason (1992) “Conditionals and Knowledge-Base Update”, pp. 247–275 in Peter Gärdenfors (ed.), Belief Revision, Cambridge University Press.
Fuhrmann, A (1991) “Theory contraction through base contraction”, Journal of Philosophical Logic 20: 175–203.
Gärdenfors, Peter (1988) Knowledge in Flux. Modeling the Dynamics of Epistemic States, MIT Press, Cambridge.
Hansson, Sven Ove (1989) “New operators for theory change”, Theoria 55: 114–132.
Hansson, Sven Ove (1991) “Belief Contraction Without Recovery”, Studia Logica 50: 251–260.
Hansson, Sven Ove (1992a) “In defense of base contraction”, Synthese 91: 239–245.
Hansson, Sven Ove (1992b) “A Dyadic Representation of Belief”, pp. 89–121 in Peter Gärdenfors (ed.), Belief Revision, Cambridge University Press.
Hansson, Sven Ove (1992c) “Similarity Semantics and Minimal Changes of Belief’, Erkenntnis 37: 401–429.
Hansson, Sven Ove (1992d) “In Defense of the Ramsey Test”, Journal of Philosophy 89: 522–540.
Hansson, Sven Ove (1993a) “Reversing the Levi Identity”, to be published in the Journal of Philosophical Logic.
Hansson, Sven Ove (1993b) “Theory Contraction and Base Contraction Unified”, to be published in the Journal of Symbolic Logic.
Hansson, Sven Ove (1993c) “Changes on Disjunctively Closed Bases”, to be published in the Journal of Logic, Language and Information.
Levi, Isaac (1980) The Enterprise of Knowledge, Cambridge, Mass., MIT Press.
Levi, Isaac (1988) “Iteration of Conditionals and the Ramsey test”, Synthese 76: 49–81.
Makinson, David (1987) “On the status of the postulate of recovery in the logic of theory change”, Journal of Philosophical Logic, 16: 383–394.
Nayak, AC (1991) “Foundational belief change”, to be published in the Journal of Philosophical Logic.
Nebel, B (1989) “A Knowledge Level Analysis of Belief Revision”, pp. 301–311 in Ronald Brachman, Hector Levesque and Raymond Reiter (eds.) Principles of Knowledge Representation and Reasoning, Proceedings of the 1st International Conference, Morgan Kaufmann, San Mateo, California.
Nebel, B (1992) “Syntax-Based Approaches to Belief Revision”, pp. 52–88 in P. Gärdenfors, ed. (1991) Belief Revision, Cambridge University Press.
Rott, H (1989) “Conditionals and Theory Change: Revision, Expansions and Additions”, Synthese 81: 91–113.
Rott, H (1993a) “Modelings for Belief Change: Prioritization and Entrenchment”, Theoria,in press.
Rott, H (1993b) “Belief Contraction in the Context of the General Theory of Rational Choice”, to be published in the Journal of Symbolic Logic.
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
Hansson, S.O. (1994). Taking Belief Bases Seriously. 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_2
Download citation
DOI: https://doi.org/10.1007/978-94-015-8311-4_2
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-4365-8
Online ISBN: 978-94-015-8311-4
eBook Packages: Springer Book Archive