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The Quantitative/Qualitative Watershed for Rules of Uncertain Inference |
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| Authors: | James Hawthorne David Makinson |
| Affiliation: | (1) Department of Philosophy, University of Oklahoma, 605 Dale Hall Tower, Norman, OK 73019, USA;(2) Department of Philosophy, Logic and Scientific Method London School of Economics, Houghton Street, London, WC2A 2AE, UK |
| 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 |
| Keywords: | nonmonotonic logic uncertain inference consequence relations Horn rules conditional probabilities probabilistic thresholds |
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