How Probable Is an Infinite Sequence of Heads?

Analysis 67 (3):173 - 180 (2007)
Abstract
Isn't probability 1 certainty? If the probability is objective, so is the certainty: whatever has chance 1 of occurring is certain to occur. Equivalently, whatever has chance 0 of occurring is certain not to occur . If the probability is subjective, so is the certainty: if you give credence 1 to an event, you are certain that it will occur. Equivalently, if you give credence 0 to an event, you are certain that it will not occur . And so on for other kinds of probability, such as evidential probability. The formal analogue of this picture is the regularity constraint: a probability distribution over sets of possibilities is regular just in case it assigns probability 0 only to the null set, and therefore probability 1 only to the set of all possibilities
Keywords No keywords specified (fix it)
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: 13,970
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
Vann McGee (1994). Learning the Impossible. In Ellery Eells & Brian Skyrms (eds.), Probability and Conditionals: Belief Revision and Rational Decision. Cambridge University Press. 179-199.
Karl R. Popper (1955). Two Autonomous Axiom Systems for the Calculus of Probabilities. British Journal for the Philosophy of Science 6 (21):51-57.
Citations of this work BETA

View all 9 citations

Similar books and articles
Analytics

Monthly downloads

Added to index

2009-01-28

Total downloads

71 ( #29,041 of 1,696,172 )

Recent downloads (6 months)

14 ( #36,745 of 1,696,172 )

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.