The Relevance of a Relevantly Assertable Disjunction for Material Implication

Author: Verhoeven, Liza

Source: Journal of Philosophical Logic, Volume 36, Number 3, June 2007 , pp. 339-366(28)

Publisher: Springer

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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.

Keywords: assertability conditions; Classical Logic; material implication

Document Type: Research article

DOI: http://dx.doi.org/10.1007/s10992-006-9039-6

Affiliations: 1: Email: liza.verhoeven@gmail.com

Publication date: 2007-06-01