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Contraction
KTH, School of Architecture and the Built Environment (ABE), Philosophy and History, Philosophy.ORCID iD: 0000-0003-0071-3919
2017 (English)In: Descriptor Revision: Belief Change through Direct Choice, Springer Science and Business Media B.V. , 2017, p. 151-162Chapter in book (Refereed)
Abstract [en]

Contraction differs from revocation (Chapter 9 ) in satisfying the inclusion postulate (K÷ p⊆ K). In spite of the problems connected with that postulate, contraction represents an interesting idealization, namely that in which losses of beliefs are described with an exclusive focus on the beliefs that are lost and a corresponding disregard for the additions to the belief set that push them out. In this chapter, some major ways to construct operations of contraction in the descriptor revision framework are introduced, and the properties of these constructions are investigated. Two impossibility theorems make it clear that contrary to AGM revision, AGM contraction cannot be reconstructed as descriptor revision. Furthermore, three extensions of the descriptor revision framework are introduced in which operations of contraction can deal with ties in ways that are more consonant with how this is done in the AGM framework. Unsurprisingly, these contraction methods all deviate from the simple one-step choice mechanism that is one of the major advantages of the descriptor revision framework. 

Place, publisher, year, edition, pages
Springer Science and Business Media B.V. , 2017. p. 151-162
Keywords [en]
Belief Set, Contraction Method, Descriptor Revision, Maxichoice, Positive Inclusions
National Category
Philosophy
Identifiers
URN: urn:nbn:se:kth:diva-302173DOI: 10.1007/978-3-319-53061-1_10Scopus ID: 2-s2.0-85106030098OAI: oai:DiVA.org:kth-302173DiVA, id: diva2:1597707
Note

QC 20210927

Available from: 2021-09-27 Created: 2021-09-27 Last updated: 2022-06-25Bibliographically approved

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Hansson, Sven Ove

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