Synthese 173 (2):153-177 (2010)

Authors
Sven Ove Hansson
Royal Institute of Technology, Stockholm
Abstract
Multiple contraction (simultaneous contraction by several sentences) and iterated contraction are investigated in the framework of specified meet contraction (s.m.c.) that is extended for this purpose. Multiple contraction is axiomatized, and so is finitely multiple contraction (contraction by a finite set of sentences). Two ways to reduce finitely multiple contraction to contraction by single sentences are introduced. The reduced operations are axiomatically characterized and their properties are investigated. Furthermore, it is shown how iterated contraction can be reduced to single-step, single-sentence contraction. However, in this framework the outcome of iterated contraction depends unavoidably on the order in which the inputs are received. This order-dependence makes it impossible to treat two inputs on an equal footing. Therefore it is often preferable to perform changes involving several pieces of information as multiple rather than iterated change.
Keywords Philosophy   Metaphysics   Philosophy of Language   Logic   Epistemology   Computer Science, general   Philosophy of Science
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11229-009-9688-4
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 59,827
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library

References found in this work BETA

A Survey of Multiple Contractions.André Fuhrmann & Sven Ove Hansson - 1994 - Journal of Logic, Language and Information 3 (1):39-75.

View all 14 references / Add more references

Citations of this work BETA

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.
Logic of Belief Revision.Sven Ove Hansson - 2008 - Stanford Encyclopedia of Philosophy.
Rational Evaluation in Belief Revision.Yongfeng Yuan & Shier Ju - 2015 - Synthese 192 (7):2311-2336.

View all 7 citations / Add more citations

Similar books and articles

A Survey of Multiple Contractions.André Fuhrmann & Sven Ove Hansson - 1994 - Journal of Logic, Language and Information 3 (1):39-75.
Multiple Kernel Contraction.Eduardo Fermé, Karina Saez & Pablo Sanz - 2003 - Studia Logica 73 (2):183 - 195.
Bootstrap Contraction.Sven Ove Hansson - 2013 - Studia Logica 101 (5):1013-1029.
Iterated Contraction Based on Indistinguishability.Konstantinos Georgatos - 2013 - In Sergei Artemov & Anil Nerode (eds.), LFCS 2013. Springer. pp. 194–205.
Maximal and Perimaximal Contraction.Sven Ove Hansson - 2013 - Synthese 190 (16):3325-3348.
Kernel Contraction.Sven Ove Hansson - 1994 - Journal of Symbolic Logic 59 (3):845-859.
Repertoire Contraction.Sven Ove Hansson - 2013 - Journal of Logic, Language and Information 22 (1):1-21.
Blockage Contraction.Sven Ove Hansson - 2013 - Journal of Philosophical Logic 42 (2):415-442.

Analytics

Added to PP index
2009-11-25

Total views
43 ( #241,299 of 2,432,717 )

Recent downloads (6 months)
1 ( #464,418 of 2,432,717 )

How can I increase my downloads?

Downloads

My notes