Specified meet contraction

Erkenntnis 69 (1):31 - 54 (2008)
Specified meet contraction is the operation defined by the identity where ∼ is full meet contraction and f is a sentential selector, a function from sentences to sentences. With suitable conditions on the sentential selector, specified meet contraction coincides with the partial meet contractions that yield a finite-based contraction outcome if the original belief set is finite-based. In terms of cognitive realism, specified meet contraction has an advantage over partial meet contraction in that the selection mechanism operates on sentences rather than on temporary infinite structures (remainders) that are cognitively inaccessible. Specified meet contraction provides a versatile framework in which other types of contraction, such as severe withdrawal and base-generated contraction, can be expressed with suitably chosen properties of the sentential selector.
Keywords Philosophy   Logic   Ethics   Ontology   Epistemology   Philosophy
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Eduardo Fermé & Sven Ove Hansson (2011). AGM 25 Years. Journal of Philosophical Logic 40 (2):295-331.
Sven Ove Hansson (2013). Blockage Contraction. Journal of Philosophical Logic 42 (2):415-442.

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