WHAT PRIEST (AMONGST MANY OTHERS) HAS BEEN MISSING

Author: Slater, Hartley

Source: Ratio, Volume 23, Number 2, June 2010 , pp. 184-198(15)

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Abstract:

It is shown that there are categorical differences between sentences and statements, which have the consequence in particular that there are no paradoxical cases of self-reference with the latter as there are with the former. The point corrects an extensive train of thought that Graham Priest has pursued over recent years, but also a much wider tradition in logic and the foundations of mathematics that has been dominant for over a century. That tradition might be broadly characterized as Formalist, or Nominalist, and the improved understanding of statements leads us instead into a more Realist approach and thereby contentful logic and mathematics.

Document Type: Research article

DOI: http://dx.doi.org/10.1111/j.1467-9329.2010.00460.x

Affiliations: 1: University of Western Australia35 Stirling Highway, Crawley,WA 6009, Australia., Email: slaterbh@cyllene.uwa.edu.au

Publication date: 2010-06-01