On the logic of nonmonotonic conditionals and conditional probabilities

Journal of Philosophical Logic 25 (2):185-218 (1996)
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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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James Hawthorne
University of Oklahoma

Citations of this work

Between Probability and Certainty: What Justifies Belief.Martin Smith - 2016 - Oxford, GB: Oxford University Press UK.
The logic of epistemic justification.Martin Smith - 2018 - Synthese 195 (9):3857-3875.
Propositional Reasoning that Tracks Probabilistic Reasoning.Hanti Lin & Kevin Kelly - 2012 - Journal of Philosophical Logic 41 (6):957-981.

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References found in this work

A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher (ed.), Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
The Foundations of Statistics.Leonard J. Savage - 1956 - Philosophy of Science 23 (2):166-166.
The Foundations of Statistics.Leonard J. Savage - 1954 - Synthese 11 (1):86-89.
The Logic of Conditionals.Ernest Adams, Ernest W. Adams, Jaakko Hintikka & Patrick Suppes - 1965 - Journal of Symbolic Logic 39 (3):609-611.

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