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Measuring Inconsistency

Kevin Knight
Journal of Philosophical Logic
Vol. 31, No. 1 (Feb., 2002), pp. 77-98
Published by: Springer
Stable URL: http://www.jstor.org/stable/30226747
Page Count: 22
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Measuring Inconsistency
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Abstract

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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