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] ≥ r. Thus, each conditional in a given family behaves like conditional probability above some specific support level
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    J. B. Paris & R. Simmonds (2009). O is Not Enough. Review of Symbolic Logic 2 (2):298-309.
    Dov M. Gabbay & Karl Schlechta (2009). Size and Logic. Review of Symbolic Logic 2 (2):396-413.

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