Probabilities of Counterfactuals are Counterfactual Probabilities

Journal of Philosophy (forthcoming)
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Abstract

Suppose that, yesterday at noon, Maria considered flipping a fair coin, but didn't. What probability do you assign to "If Maria had flipped the coin, the coin would have landed heads"? Now suppose that, contrary to fact, Maria did indeed flip the coin. In that counterfactual scenario, what is the probability of "The coin will land tails"? The two questions sound strikingly similar. I argue that they sound similar because they are equivalent. The chance of a counterfactual "If A, would C" equals the chance of C, in the counterfactual scenario that A (and a similar principle holds for credence). This principle does better than similar principles that have been defended (like Skyrms' Thesis), avoids triviality, and gives us important clues for a semantics for counterfactuals.

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Paolo Santorio
University of Maryland, College Park

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References found in this work

New work for a theory of universals.David K. Lewis - 1983 - Australasian Journal of Philosophy 61 (4):343-377.
A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher, Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
Humean Supervenience Debugged.David Lewis - 1994 - Mind 103 (412):473--490.
Correcting the guide to objective chance.Ned Hall - 1994 - Mind 103 (412):505-518.

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