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  1. A logic for default reasoning.Ray Reiter - 1980 - Artificial Intelligence 13 (1-2):81-137.
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  • On the measure of conflicts: Shapley Inconsistency Values.Anthony Hunter & Sébastien Konieczny - 2010 - Artificial Intelligence 174 (14):1007-1026.
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  • Analysing inconsistent first-order knowledgebases.John Grant & Anthony Hunter - 2008 - Artificial Intelligence 172 (8-9):1064-1093.
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  • Audiences in argumentation frameworks.Trevor J. M. Bench-Capon, Sylvie Doutre & Paul E. Dunne - 2007 - Artificial Intelligence 171 (1):42-71.
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  • Conditional logic and the Principle of Entropy.Wilhelm Rödder - 2000 - Artificial Intelligence 117 (1):83-106.
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  • Combining probabilistic logic programming with the power of maximum entropy.Gabriele Kern-Isberner & Thomas Lukasiewicz - 2004 - Artificial Intelligence 157 (1-2):139-202.
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  • Anytime deduction for probabilistic logic.Alan M. Frisch & Peter Haddawy - 1994 - Artificial Intelligence 69 (1-2):93-122.
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  • Measuring inconsistency.Kevin Knight - 2002 - Journal of Philosophical Logic 31 (1):77-98.
    I provide a method of measuring the inconsistency of a set of sentences from 1-consistency, corresponding to complete consistency, to 0-consistency, corresponding to the explicit presence of a contradiction. Using this notion to analyze the lottery paradox, one can see that the set of sentences capturing the paradox has a high degree of consistency (assuming, of course, a sufficiently large lottery). The measure of consistency, however, is not limited to paradoxes. I also provide results for general sets of sentences.
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