In Emiliano Ippoliti, Carlo Cellucci & Emily Grosholz (eds.),
Logic and Knowledge. Newcastle upon Tyne: Cambridge Scholar Publishing. pp. 101-7 (
2011)
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Abstract
Is a rational dispute over the validity of a fundamental logical
law possible? In his lecture ‘Logics and Metalogics’, Timothy Williamson
criticizes Dummett’s approach to this problem and maintains that a
semantic theory does not provide a way of settling disputes over the
validity of fundamental logical laws. I argue that Dummett’s view is
different from the view criticized by Williamson. Dummett does not think
that a semantic theory alone can settle a dispute over the validity of a
fundamental logical law. Such disputes, according to Dummett, should be
settled by the theory of meaning. A semantic theory in the sense that is
usual among logicians is a theory of logical consequence . A meaning
theory is a theory of understanding .