Uncertainty, Learning, and the “Problem” of Dilation

• DOI: 10.1007/s10670-013-9529-1
• Publication Date: 2013-09-27T19:47:06Z
• Authors: Seamus Bradley; Katie Steele
• Keywords: Credence; Dilation (metric space)

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.