On the logic of nonmonotonic conditionals and conditional probabilities
Journal of Philosophical Logic 25 (2):185-218 (1996)
| Abstract | I will describe the logics of a range of conditionals that behave like conditional probabilities at various levels of probabilistic support. Families of these conditionals will be characterized in terms of the rules that their members obey. I will show that for each conditional, , in a given family, there is a probabilistic support level r and a conditional probability function P such that, for all sentences C and B, C->B holds just in case P[B|C] is greater than or equal to r. Thus, each conditional in a given family behaves like conditional probability above some specific support level. | |||||||||
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Paul Weirich (1983). Conditional Probabilities and Probabilities Given Knowledge of a Condition. Philosophy of Science 50 (1):82-95.
Charles G. Morgan & Edwin D. Mares (1995). Conditionals, Probability, and Non-Triviality. Journal of Philosophical Logic 24 (5):455-467.
Robert C. Stalnaker (1970). Probability and Conditionals. Philosophy of Science 37 (1):64-80.
James Hawthorne (1998). On the Logic of Nonmonotonic Conditionals and Conditional Probabilities: Predicate Logic. Journal of Philosophical Logic 27 (1):1-34.
James Hawthorne (2007). Nonmonotonic Conditionals That Behave Like Conditional Probabilities Above a Threshold. Journal of Applied Logic 5 (4):625-637.
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