Revisiting the Conditional Construal of Conditional Probability
DOI:
https://doi.org/10.12775/LLP.2022.024Keywords
conditional probability, probabilities of conditionals, Lewis’ triviality resultsAbstract
We show how to extend any finite probability space into another finite one which satisfies the conditional construal of conditional probability for the original propositions, given some maximal allowed degree of nesting of the conditional. This mitigates the force of the well-known triviality results.
References
Dorst, K., 2020, “Evidence: A guide for the uncertain”, Philosophy and Phenomenological Research, 100 (3): 586–632. DOI: http://dx.doi.org/10.1111/phpr.12561
Hájek, A, 2015, “On the plurality of Lewis’s triviality results”, pages 425–445 in B. Loewer and J. Schaffer (eds.), A Companion to David Lewis, John Wiley & Sons. DOI: http://dx.doi.org/10.1002/9781118398593.ch27
Hájek, A., and N. Hall, 1994, “The hypothesis of the conditional construal of conditional probability”, pages 75–111 in E. Eells and B. Skyrms (eds.), Probability and Conditionals: Belief Revision and Rational Decision, Cambridge University Press.
Hall, N., 1994, “Back in the CCCP”, pages 141–160 in E. Eells and B. Skyrms (eds.), Probability and Conditionals: Belief Revision and Rational Decision, Cambridge University Press.
Lewis, D., 1976, “Probabilities of conditionals and conditional probabilities”, The Philosophical Review, 85 (3): 297–315. DOI: http://dx.doi.org/10.2307/2184045
Marczyk, M., and L. Wroński, 2014, “Completion of the causal completability problem”, The British Journal for the Philosophy of Science, 66 (2): 307–326. DOI: http://dx.doi.org/10.1093/bjps/axt030
van Fraassen, B. C., 1976, “Probabilities of conditionals”, pages 261–308 in W. L. Harper and C. A. Hooker (eds.), Foundations of Probability Theory, Statistical Inference, and Statistical Theories of Science, Vol. I, D. Reidel Publishing Company, Dordrecht.
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Copyright (c) 2022 Jakub Węgrecki, Leszek Wroński
This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.
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