Eliminating Self-Reference from Grelling's and Zwicker's Paradoxes

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Abstract

The goal of this paper is to present Yabloesque versions of Grelling’s and Zwicker’s paradoxes concerning the notions of “heterological” and “hypergame” respectively. We will offer counterparts of these paradoxes that do not seem to involve any kind of self-reference or vicious circularity.

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Jordi Valor Abad
Universitat de Valencia

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Paradox without Self-Reference.Stephen Yablo - 1993 - Analysis 53 (4):251-252.
On some difficulties in the theory of transfinite numbers and order types.Bertrand Russell - 1905 - Proceedings of the London Mathematical Society 4 (14):29-53.
Yablo's paradox.Graham Priest - 1997 - Analysis 57 (4):236-242.

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