Probability and Symmetric Logic

Sanchez, Michał Gil; Gyenis, Zalán; Wroński, Leszek

doi:10.1007/s10992-022-09669-1

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Axiomatizing Convex Hulls Of Symmetric Logic1

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2022

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“…It is in such cases in which (SL4) is employed. For the gruesome details of this please refer to the technical paper (Gil Sanchez et al 2022).…”

Section: Axiomatizing Convex Hulls Of Symmetric Logicmentioning

confidence: 99%

Nonclassical Probability, Convex Hulls, and Dutch Books

Sanchez

Gyenis²,

Wroński³

2022

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We report a solution to an open problem regarding the axiomatization of the convex hull of a type of nonclassical evaluations. We then investigate the meaning of this result for the larger context of the relation between rational credence functions and nonclassical probability. We claim that the notions of bets and Dutch Books typically employed in formal epistemology are of doubtful use outside the realm of classical logic, eventually proposing two novel ways of understanding Dutch Books in nonclassical settings.

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“…It is in such cases in which (SL4) is employed. For the gruesome details of this please refer to the technical paper (Gil Sanchez et al 2022).…”

Section: Axiomatizing Convex Hulls Of Symmetric Logicmentioning

confidence: 99%