Placing probabilities of conditionals in context

Ronnie Hermens*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

In this paper I defend the tenability of the Thesis that the probability of a conditional equals the conditional probability of the consequent given the antecedent. This is done by adopting the view that the interpretation of a conditional may differ from context to context. Several triviality results are (re-)evaluated in this view as providing natural constraints on probabilities for conditionals and admissible changes in the interpretation. The context-sensitive approach is also used to re-interpret some of the intuitive rules for conditionals and probabilities such as Bayes' rule,Import-Export, and Modus Ponens. I will show that, contrary to consensus, the Thesis is in fact compatible with these re-interpreted rules.

Original languageEnglish
Pages (from-to)415-438
Number of pages24
JournalReview of Symbolic Logic
Volume7
Issue number3
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

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