Expected Accuracy Supports Conditionalization—and Conglomerability and Reflection

Philosophy of Science 80 (1):119-142 (2013)
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Expected accuracy arguments have been used by several authors (Leitgeb and Pettigrew, and Greaves and Wallace) to support the diachronic principle of conditionalization, in updates where there are only finitely many possible propositions to learn. I show that these arguments can be extended to infinite cases, giving an argument not just for conditionalization but also for principles known as ‘conglomerability’ and ‘reflection’. This shows that the expected accuracy approach is stronger than has been realized. I also argue that we should be careful to distinguish diachronic update principles from related synchronic principles for conditional probability.



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Kenny Easwaran
University of California, Irvine

Citations of this work

Lockeans Maximize Expected Accuracy.Kevin Dorst - 2019 - Mind 128 (509):175-211.
Accuracy, Risk, and the Principle of Indifference.Richard Pettigrew - 2016 - Philosophy and Phenomenological Research 92 (1):35-59.
Evidence: A Guide for the Uncertain.Kevin Dorst - 2019 - Philosophy and Phenomenological Research 100 (3):586-632.
Rational endorsement.Will Fleisher - 2018 - Philosophical Studies 175 (10):2649-2675.

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What conditional probability could not be.Alan Hájek - 2003 - Synthese 137 (3):273--323.

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