A condition for transitivity in high probability

Download Edit this record How to cite View on PhilPapers
Abstract
There are many scientific and everyday cases where each of Pr and Pr is high and it seems that Pr is high. But high probability is not transitive and so it might be in such cases that each of Pr and Pr is high and in fact Pr is not high. There is no issue in the special case where the following condition, which I call “C1”, holds: H 1 entails H 2. This condition is sufficient for transitivity in high probability. But many of the scientific and everyday cases referred to above are cases where it is not the case that H 1 entails H 2. I consider whether there are additional conditions sufficient for transitivity in high probability. I consider three candidate conditions. I call them “C2”, “C3”, and “C2&3”. I argue that C2&3, but neither C2 nor C3, is sufficient for transitivity in high probability. I then set out some further results and relate the discussion to the Bayesian requirement of coherence.
ISBN(s)
PhilPapers/Archive ID
ROCACF
Revision history
Archival date: 2017-03-02
View upload history
References found in this work BETA
Bayesian Epistemology.Talbott, William

View all 13 references / Add more references

Citations of this work BETA

Add more citations

Added to PP index
2017-02-28

Total views
90 ( #29,171 of 43,860 )

Recent downloads (6 months)
15 ( #35,012 of 43,860 )

How can I increase my downloads?

Downloads since first upload
This graph includes both downloads from PhilArchive and clicks to external links.