The quantitative/qualitative watershed for rules of uncertain inference

Studia Logica 86 (2):247-297 (2007)
We chart the ways in which closure properties of consequence relations for uncertain inference take on different forms according to whether the relations are generated in a quantitative or a qualitative manner. Among the main themes are: the identification of watershed conditions between probabilistically and qualitatively sound rules; failsafe and classicality transforms of qualitatively sound rules; non-Horn conditions satisfied by probabilistic consequence; representation and completeness problems; and threshold-sensitive conditions such as ‘preface’ and ‘lottery’ rules.
Keywords Philosophy   Computational Linguistics   Mathematical Logic and Foundations   Logic
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Hannes Leitgeb (2013). Reducing Belief Simpliciter to Degrees of Belief. Annals of Pure and Applied Logic 164 (12):1338-1389.
Hannes Leitgeb (2014). A Lottery Paradox for Counterfactuals Without Agglomeration. Philosophy and Phenomenological Research 89 (3):605-636.

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