Probabilities of conditionals in context
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10988_2015_9182_ReferencePDF.pdf
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Author(s)
Khoo, Justin Donald
Date Issued
January 2016
Journal
Linguistics and Philosophy
Publisher
Springer Netherlands
Citation
Khoo, Justin. “Probabilities of Conditionals in Context.” Linguistics and Philosophy 39.1 (2016): 1–43.
Version
Author's final manuscript
Abstract
The Ramseyan thesis that the probability of an indicative conditional is equal to the corresponding conditional probability of its consequent given its antecedent is both widely confirmed and subject to attested counterexamples (e.g., McGee, in Analysis 60(1):107–111, 2000; Kaufmann, in J Philos Logic 33:583–606, 2004). This raises several puzzling questions. For instance, why are there interpretations of conditionals that violate this Ramseyan thesis in certain contexts, and why are they otherwise very rare? In this paper, I raise some challenges to Stefan Kaufmann’s account of why the Ramseyan thesis sometimes fails, and motivate my own theory. On my theory, the proposition expressed by an indicative conditional is partially determined by a background partition, and hence its probability depends on the choice of such a partition. I hold that this background partition is contextually determined, and in certain conditions is set by a salient question under discussion in the context. I argue that the resulting theory offers compelling answers to the puzzling questions raised by failures of the Ramseyan thesis.
MIT Department
Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
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DOI of Published Version
https://doi.org/10.1007/s10988-015-9182-z