Triviality Results, Conditional Probability, and Restrictor Conditionals

Download Edit this record How to cite View on PhilPapers
Abstract
Conditional probability is often used to represent the probability of the conditional. However, triviality results suggest that the thesis that the probability of the conditional always equals conditional probability leads to untenable conclusions. In this paper, I offer an interpretation of this thesis in a possible worlds framework, arguing that the triviality results make assumptions at odds with the use of conditional probability. I argue that these assumptions come from a theory called the operator theory and that the rival restrictor theory can avoid these problematic assumptions. In doing so, I argue that recent extensions of the triviality arguments to restrictor conditionals fail, making assumptions which are only justified on the operator theory.
PhilPapers/Archive ID
VANTRC-4
Upload history
Archival date: 2020-10-19
View other versions
Added to PP index
2020-10-19

Total views
101 ( #40,609 of 2,425,823 )

Recent downloads (6 months)
30 ( #26,154 of 2,425,823 )

How can I increase my downloads?

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