Studia Logica 50 (2):251 - 260 (1991)

Authors
Sven Ove Hansson
Royal Institute of Technology, Stockholm
Abstract
The postulate of recovery is commonly regarded to be the intuitively least compelling of the six basic Gärdenfors postulates for belief contraction. We replace recovery by the seemingly much weaker postulate of core-retainment, which ensures that if x is excluded from K when p is contracted, then x plays some role for the fact that K implies p. Surprisingly enough, core-retainment together with four of the other Gärdenfors postulates implies recovery for logically closed belief sets. Reasonable contraction operators without recovery do not seem to be possible for such sets. Instead, however, they can be obtained for non-closed belief bases. Some results on partial meet contractions on belief bases are given, including an axiomatic characterization and a non-vacuous extension of the AGM closure condition.
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DOI 10.1007/BF00370186
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References found in this work BETA

Theory Contraction Through Base Contraction.André Fuhrmann - 1991 - Journal of Philosophical Logic 20 (2):175 - 203.
On the Status of the Postulate of Recovery in the Logic of Theory Change.David Makinson - 1987 - Journal of Philosophical Logic 16 (4):383 - 394.

View all 7 references / Add more references

Citations of this work BETA

A Survey of Multiple Contractions.André Fuhrmann & Sven Ove Hansson - 1994 - Journal of Logic, Language and Information 3 (1):39-75.
Theory Contraction and Base Contraction Unified.Sven Ove Hansson - 1993 - Journal of Symbolic Logic 58 (2):602-625.
Reversing the Levi Identity.Sven Ove Hansson - 1993 - Journal of Philosophical Logic 22 (6):637 - 669.
AGM 25 Years: Twenty-Five Years of Research in Belief Change.Eduardo Fermé & Sven Ove Hansson - 2011 - Journal of Philosophical Logic 40 (2):295 - 331.

View all 42 citations / Add more citations

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Theory Contraction and Base Contraction Unified.Sven Ove Hansson - 1993 - Journal of Symbolic Logic 58 (2):602-625.
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Changes of Disjunctively Closed Bases.Sven Ove Hansson - 1993 - Journal of Logic, Language and Information 2 (4):255-284.

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