Russell´s Early Type Theory and the Paradox of Propositions

The paradox of propositiOns, presented in Appenclix B of Russell's The Principies of Mathernatics (1903), is usually taken as Russell's principal motive, at the time, for moving from a simple to a ramified theory of types. I argue that this view is mistaken. A closer study of Russell'...

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Veröffentlicht in:Principia 2001-12, Vol.5 (1-2), p.19-42
1. Verfasser: Fuhrmann, André
Format: Artikel
Sprache:eng ; spa
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Zusammenfassung:The paradox of propositiOns, presented in Appenclix B of Russell's The Principies of Mathernatics (1903), is usually taken as Russell's principal motive, at the time, for moving from a simple to a ramified theory of types. I argue that this view is mistaken. A closer study of Russell's correspondence with Frege reveals that Russell carne to adopt a very different resolution of the paradox, calling into question not the simplicity of his early type theory but the simplicity of his early theory of propositions.
ISSN:1808-1711
1414-4247
1808-1711
DOI:10.5007/17758