All roads lead to violations of countable additivity

Philosophical Studies 161 (3):381-390 (2012)
This paper defends the claim that there is a deep tension between the principle of countable additivity and the one-third solution to the Sleeping Beauty problem. The claim that such a tension exists has recently been challenged by Brian Weatherson, who has attempted to provide a countable additivity-friendly argument for the one-third solution. This attempt is shown to be unsuccessful. And it is argued that the failure of this attempt sheds light on the status of the principle of indifference that underlies the tension between countable additivity and the one-third solution.
Keywords Countable additivity  Self-locating belief  Sleeping Beauty problem  Indifference principles  Brian Weatherson
Categories (categorize this paper)
DOI 10.1007/s11098-011-9744-z
 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: 24,470
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 10 references / Add more references

Citations of this work BETA
Brian Weatherson (2013). Ross on Sleeping Beauty. Philosophical Studies 163 (2):503-512.

Add more citations

Similar books and articles
J. Williamson (1999). Countable Additivity and Subjective Probability. British Journal for the Philosophy of Science 50 (3):401-416.
Cory Juhl & Kevin T. Kelly (1994). Realism, Convergence, and Additivity. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:181 - 189.
Brian Weatherson (2013). Ross on Sleeping Beauty. Philosophical Studies 163 (2):503-512.
Colin Howson (2008). De Finetti, Countable Additivity, Consistency and Coherence. British Journal for the Philosophy of Science 59 (1):1-23.
Paul Bartha (2004). Countable Additivity and the de Finetti Lottery. British Journal for the Philosophy of Science 55 (2):301-321.
Ludomir Newelski (1992). A Model and its Subset. Journal of Symbolic Logic 57 (2):644-658.

Monthly downloads

Added to index


Total downloads

61 ( #80,091 of 1,925,550 )

Recent downloads (6 months)

2 ( #308,489 of 1,925,550 )

How can I increase my downloads?

My notes
Sign in to use this feature

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