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The Relevance of a Relevantly Assertable Disjunction for Material Implication

Liza Verhoeven
Journal of Philosophical Logic
Vol. 36, No. 3 (Jun., 2007), pp. 339-366
Published by: Springer
Stable URL: http://www.jstor.org/stable/30226893
Page Count: 28
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The Relevance of a Relevantly Assertable Disjunction for Material Implication
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Abstract

In this paper Grice's requirements for assertability are imposed on the disjunction of Classical Logic. Defining material implication in terms of negation and disjunction supplemented by assertability conditions, results in the disappearance of the most important paradoxes of material implication. The resulting consequence relation displays a very strong resemblance to Schurz's conclusion-relevant consequence relation.

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