Russell's way out of the paradox of propositions

History and Philosophy of Logic 23 (3):197-213 (2002)
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Abstract

In Appendix B of Russell's The Principles of Mathematics occurs a paradox, the paradox of propositions, which a simple theory of types is unable to resolve. This fact is frequently taken to be one of the principal reasons for calling ramification onto the Russellian stage. The paper presents a detaiFled exposition of the paradox and its discussion in the correspondence between Frege and Russell. It is argued that Russell finally adopted a very simple solution to the paradox. This solution had nothing to do with ramified types but marked an important shift in his theory of propositions

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André Fuhrmann
Goethe University Frankfurt

Citations of this work

Why Ramify?Harold T. Hodes - 2015 - Notre Dame Journal of Formal Logic 56 (2):379-415.

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References found in this work

The Principles of Mathematics.Bertrand Russell - 1903 - Cambridge, England: Allen & Unwin.
The Principles of Mathematics.Bertrand Russell - 1903 - Revue de Métaphysique et de Morale 11 (4):11-12.
My philosophical development.Bertrand Russell - 1959 - London,: Allen & Unwin.
Logic and Knowledge.BERTRAND RUSSELL - 1957 - Philosophical Quarterly 7 (29):374.

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