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This paper concerns the extent to which uncertain propositional reasoning can track probabilistic reasoning, and addresses kinematic problems that extend the familiar Lottery paradox. An acceptance rule assigns to each Bayesian credal state p a propositional belief revision method B p , which specifies an initial belief state B p (⊤), that is revised to the… (More)

We defend a set of acceptance rules that avoids the lottery paradox, that is closed under classical entailment, and that accepts uncertain propositions without ad hoc restrictions. We show that the rules we recommend provide a semantics that validates exactly Adams' conditional logic and are exactly the rules that preserve a natural, logical structure over… (More)

- Hanti Lin, Kevin T Kelly
- 2013

Hannes Leitgeb's stability theory of belief provides three synchronic constraints on an ideal-ized agent's degrees of belief and the propositions she believes. The theory requires that, for each instant of time, an idealized agent satisfies the following three synchronic conditions: (P1) The set of one's beliefs is consistent and closed under deduction.… (More)

- Research Showcase, Cmu, Kevin T Kelly, Hanti Lin
- 2011

We defend a set of acceptance rules that avoids the lottery paradox, that is closed under classical entailment, and that accepts uncertain propositions without ad hoc restrictions. We show that the rules we recommend provide a semantics that validates exactly Adams' conditional logic and are exactly the rules that preserve a natural, logical structure over… (More)

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