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Russell's Schema, Not Priest's Inclosure

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On investigating a theorem that Russell used in discussing paradoxes of classes, Graham Priest distills a schema and then extends it to form an Inclosure Schema, which he argues is the common structure underlying both class-theoretical paradoxes (such as that of Russell, Cantor, Burali-Forti) and the paradoxes of 'definability' (offered by Richard, Konig-Dixon and Berry). This article shows that Russell's theorem is not Priest's schema and questions the application of Priest's Inclosure Schema to the paradoxes of 'definability'.1

Document Type: Research Article


Affiliations: The University of Iowa, Iowa City, Iowa, USA

Publication date: 2009-05-01

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