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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.

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Authors and Affiliations

  1. Department of Philosophy, University of Oklahoma, 605 Dale Hall Tower, Norman, OK, 73019, USA

    James Hawthorne

  2. Department of Philosophy, Logic and Scientific Method London School of Economics, Houghton Street, London, WC2A 2AE, UK

    David Makinson

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  1. James Hawthorne
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  2. David Makinson
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Correspondence to James Hawthorne.

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Special Issue Formal Epistemology I. Edited by Branden Fitelson

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Hawthorne, J., Makinson, D. The Quantitative/Qualitative Watershed for Rules of Uncertain Inference. Stud Logica 86, 247–297 (2007). https://doi.org/10.1007/s11225-007-9061-x

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