Uncertainty, learning, and the “Problem” of dilation

Bradley, Seamus; and Steele, Katie Siobhan Uncertainty, learning, and the “Problem” of dilation. Erkenntnis. ISSN 0165-0106
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Imprecise probabilism—which holds that rational belief/credence is permissibly represented by a set of probability functions—apparently suffers from a problem known as dilation. We explore whether this problem can be avoided or mitigated by one of the following strategies: (a) modifying the rule by which the credal state is updated, (b) restricting the domain of reasonable credal states to those that preclude dilation.


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