The quantitative/qualitative watershed for rules of uncertain inference

Studia Logica 86 (2):247-297 (2007)
Abstract
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.
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Citations of this work BETA
Hannes Leitgeb (2013). A Lottery Paradox for Counterfactuals Without Agglomeration. Philosophy and Phenomenological Research 88 (1):n/a-n/a.
Hannes Leitgeb (2013). Reducing Belief Simpliciter to Degrees of Belief. Annals of Pure and Applied Logic 164 (12):1338-1389.

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