, Volume 86, Issue 2, pp 247-297

The Quantitative/Qualitative Watershed for Rules of Uncertain Inference

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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.

Special Issue Formal Epistemology I. Edited by Branden Fitelson