Reapproaching Ramsey: Conditionals and Iterated Belief Change in the Spirit of AGM [Book Review]

Journal of Philosophical Logic 40 (2):155-191 (2011)
Abstract
According to the Ramsey Test, conditionals reflect changes of beliefs: α > β is accepted in a belief state iff β is accepted in the minimal revision of it that is necessary to accommodate α. Since Gärdenfors’s seminal paper of 1986, a series of impossibility theorems (“triviality theorems”) has seemed to show that the Ramsey test is not a viable analysis of conditionals if it is combined with AGM-type belief revision models. I argue that it is possible to endorse that Ramsey test for conditionals while staying true to the spirit of AGM. A main focus lies on AGM’s condition of Preservation according to which the original belief set should be fully retained after a revision by information that is consistent with it. I use concrete representations of belief states and (iterated) revisions of belief states as semantic models for (nested) conditionals. Among the four most natural qualitative models for iterated belief change, two are identified that indeed allow us to combine the Ramsey test with Preservation in the language containing only flat conditionals of the form α > β. It is shown, however, that Preservation for this simple language enforces a violation of Preservation for nested conditionals of the form α > (β > γ). In such languages, no two belief sets are ordered by strict subset inclusion. I argue that it has been wrong right from the start to expect that Preservation holds in languages containing nested conditionals.
Keywords Ramsey test  conditionals  belief change  iterated revision  impossibility theorem  preservation
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
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 27,636
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
Counterfactuals.David K. Lewis - 1973 - Blackwell.
Gambling with Truth.Isaac Levi - 1967 - Cambridge: MIT Press.

View all 32 references / Add more references

Citations of this work BETA

Add more citations

Similar books and articles
Iterated Revision and Minimal Change of Conditional Beliefs.Craig Boutilier - 1996 - Journal of Philosophical Logic 25 (3):263 - 305.
Transmission Failure, AGM-Style.Jake Chandler - 2013 - Erkenntnis 78 (2):383-398.
A Defence of the Ramsey Test.Richard Bradley - 2007 - Mind 116 (461):1-21.
Belief Revision, Non-Monotonic Reasoning, and the Ramsey Test.Charles B. Cross - 1990 - In Kyburg Henry E., Loui Ronald P. & Carlson Greg N. (eds.), Knowledge Representation and Defeasible Reasoning. Kluwer Academic Publishers. pp. 223--244.
Belief Revision Conditionals: Basic Iterated Systems.Horacio Arló-Costa - 1999 - Annals of Pure and Applied Logic 96 (1-3):3-28.
On the Logic of Iterated Belief Revision.Adnan Darwiche & Judea Pearl - 1997 - Artificial Intelligence 89:1-29.
The Problem of Noncounterfactual Conditionals.David Etlin - 2009 - Philosophy of Science 76 (5):676-688.

Monthly downloads

Added to index

2012-11-14

Total downloads

33 ( #155,599 of 2,169,136 )

Recent downloads (6 months)

1 ( #345,573 of 2,169,136 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums