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In defense of base contraction

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Abstract

In the most common approaches to belief dynamics, states of belief are represented by sets that are closed under logical consequence. In an alternative approach, they are represented by non-closed belief bases. This representation has attractive properties not shared by closed representations. Most importantly, it can account for repeated belief changes that have not yet been satisfactorily accounted for in the closed approach.

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References

  • Alchourrón, C. E., P. Gärdenfors and D. Makinson: 1985, ‘On the Logic of Theory Change: Partial Meet Functions for Contraction and Revision’, Journal of Symbolic Logic 50, 510–30.

    Google Scholar 

  • Alchourrón, C. E. and D. Makinson: 1982, ‘On the Logic of Theory Change: Contraction Functions and their Associated Revision Functions’, Theoria 48, 14–37.

    Google Scholar 

  • Dalal, M.: 1988, ‘Investigations into a Theory of Knowledge Base Revision: Preliminary Report’, Proceedings of the Seventh National Conference on Artificial Intelligence, pp. 475–79.

  • Fuhrmann, A.: 1991, ‘Theory Contraction through Base Contraction’, Journal of Philosophical Logic 20, 175–203.

    Google Scholar 

  • Gärdenfors, P.: 1982, ‘Rules for Rational Changes of Beli[e]f’, in T. Pauli (ed.), 〈320311〉: Philosophical Essays Dedicated to Lennart Åquist on his Fiftieth Birthday, Philosophical Society and Department of Philosophy, Uppsala University, Uppsala, pp. 88–101.

    Google Scholar 

  • Gärdenfors, P.: 1984, ‘Epistemic Importance and Minimal Changes of Belief’, Australasian Journal of Philosophy 62, 136–57.

    Google Scholar 

  • Gärdenfors, P.: 1988, Knowledge in Flux. Modeling the Dynamics of Epistemic States, MIT Press, Cambridge MA.

    Google Scholar 

  • Gärdenfors, P.: 1990, ‘The Dynamics of Belief Systems: Foundations vs. Coherence Theories’, Revue Internationale de Philosophie 44, 24–46.

    Google Scholar 

  • Hansson, S. O.: 1989, ‘New Operators for Theory Change’, Theoria 55, 114–32.

    Google Scholar 

  • Hansson, S. O.: 1992a, ‘A Dyadic Representation of Belief’, in P. Gärdenfors (ed.), Belief Revision, Cambridge University Press, Cambridge.

    Google Scholar 

  • Hansson, S. O.: 1992b, ‘Reversing the Levi Identity’, Journal of Philosophical Logic, in press.

  • Katsuno, H. and A. O. Mendelzon: 1990, ‘A Unified View of Propositional Knowledge Base Updates’, in N. S. Sridharan (ed.), Eleventh Joint Conference on Artificial Intelligence, IJCAII, San Mateo CA, pp. 1413–19.

    Google Scholar 

  • Levi, I.: 1977, ‘Subjunctives, Dispositions and Chances’, Synthese 34, 423–55.

    Google Scholar 

  • Levi, I.: 1980, The Enterprise of Knowledge, MIT Press, Cambridge MA.

    Google Scholar 

  • Makinson, D.: 1987, ‘On the Status of the Postulate of Recovery in the Logic of Theory Change’, Journal of Philosophical Logic 16, 383–94.

    Google Scholar 

  • Spohn, W.: 1987, ‘Ordinal Conditional Functions: A Dynamic Theory of Epistemic States’, in W. L. Harper and B. Skyrms (eds.), Causation in Decision, Belief Change and Statistics, Vol. 2, Kluwer Academic Publishers, Dordrecht, pp. 105–34.

    Google Scholar 

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Hansson, S.O. In defense of base contraction. Synthese 91, 239–245 (1992). https://doi.org/10.1007/BF00413568

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