Russell´s Early Type Theory and the Paradox of Propositions


Authors
André Fuhrmann
Goethe University Frankfurt
Abstract
The paradox of propositions, presented in Appendix B of Russell’s The Principles of Mathematics, 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 came 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.
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