Bounded Revision: Two-Dimensional Belief Change Between Conservative and Moderate Revision [Book Review]

Journal of Philosophical Logic 41 (1):173-200 (2012)
Abstract
This paper presents the model of ‘bounded revision’ that is based on two-dimensional revision functions taking as arguments pairs consisting of an input sentence and a reference sentence. The key idea is that the input sentence is accepted as far as (and just a little further than) the reference sentence is ‘cotenable’ with it. Bounded revision satisfies the AGM axioms as well as the Same Beliefs Condition (SBC) saying that the set of beliefs accepted after the revision does not depend on the reference sentence (although the posterior belief state does depend on it). Bounded revision satisfies the Darwiche–Pearl (DP) axioms for iterated belief change. If the reference sentence is fixed to be a tautology or a contradiction, two well-known one-dimensional revision operations result. Bounded revision thus naturally fills the space between conservative revision (also known as natural revision) and moderate revision (also known as lexicographic revision). I compare this approach to the two-dimensional model of ‘revision by comparison’ investigated by Fermé and Rott (Artif Intell 157:5–47, 2004 ) that satisfies neither the SBC nor the DP axioms. I conclude that two-dimensional revision operations add substantially to the expressive power of qualitative approaches that do not make use of numbers as measures of degrees of belief.
Keywords Belief revision  Two-dimensional belief change  Revision by comparison  Iterated revision  Sphere semantics  Epistemic entrenchment
Categories (categorize this paper)
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history Request removal from index
 
Download options
PhilPapers Archive


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 11,802
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

View all 17 references

Citations of this work BETA

No citations found.

Similar books and articles
Giacomo Bonanno (2008). Belief Revision in a Temporal Framework. In Krzysztof Apt & Robert van Rooij (eds.), New Perspectives on Games and Interaction. Amsterdam University Press.
Dongmo Zhang & Norman Foo (2001). Infinitary Belief Revision. Journal of Philosophical Logic 30 (6):525-570.
Sven Ove Hansson (1993). Reversing the Levi Identity. Journal of Philosophical Logic 22 (6):637 - 669.
Analytics

Monthly downloads

Added to index

2012-01-21

Total downloads

8 ( #176,468 of 1,099,731 )

Recent downloads (6 months)

3 ( #126,683 of 1,099,731 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.