Strict conditional: Difference between revisions

Revision as of 02:44, 14 January 2012

Revision as of 06:55, 14 January 2012

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: If 2 + 2 = 5, then Bill Gates graduated in Medicine.

Some logicians view this situation as indicating that the strict conditional is still unsatisfactory. Others have noted that the strict conditional cannot adequately express [[counterfactual conditionals]],<ref>Jens S. Allwood, Lars-Gunnar Andersson, and Östen Dahl, ''Logic in Linguistics'', Cambridge University Press, 1977, ISBN 0521291747, [http://books.google.com/books?id=hXIpFPttDjgC&pg=PA120 p. 120.]</ref> and that it does not satisfy certain logical inference schemesproperties.<ref>Hans Rott and Vítezslav Horák, ''Possibility and Reality: Metaphysics and Logic'', ontos verlag, 2003, ISBN 3937202242, [http://books.google.com/books?id=ov9kN3HyltAC&pg=PA271 p. 271.]</ref>

Some logicians, such as [[Paul Grice]], have used [[conversational implicature]] to argue that, despite apparent difficulties, the material conditional is just fine as a translation for the natural language 'if...then...'. Others still have turned to [[relevance logic]] to supply a connection between the antecedent and consequent of provable conditionals.