Resolution of some paradoxes of propositions

Analysis 74 (1):26-34 (2014)
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Abstract

Solutions to Russell’s paradox of propositions and to Kaplan’s paradox are proposed based on an extension of von Neumann’s method of avoiding paradox. It is shown that Russell’s ‘anti-Cantorian’ mappings can be preserved using this method, but Kaplan’s mapping cannot. In addition, several versions of the Epimenides paradox are discussed in light of von Neumann’s method.

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10.1093/analys/ant089

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Harry Deutsch
Illinois State University

Citations of this work

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References found in this work

A Problem in Possible Worlds Semantics.David Kaplan - 1995 - In Walter Sinnott-Armstrong, Diana Raffman & Nicholas Asher (eds.), Modality, Morality and Belief: Essays in Honor of Ruth Barcan Marcus. Cambridge University Press. pp. 41-52.
Russell's Theory of Identity of Propositions.Alonzo Church - 1984 - Philosophia Naturalis 21 (2/4):513-522.
A refutation of an unjustified attack on the axiom of reducibility.John Myhill - 1979 - In Bertrand Russell & George Washington Roberts (eds.), Bertrand Russell memorial volume. New York: Humanities Press. pp. 81--90.
Russellian Simple Type Theory.Alonzo Church - 1973 - Proceedings and Addresses of the American Philosophical Association 47:21 - 33.

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