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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.
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Document Type: Research Article

Affiliations: University of Western Australia35 Stirling Highway, Crawley,WA 6009, Australia., Email: [email protected]

Publication date: 01 June 2010

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