omega-Circularity of Yablo's Paradox

Date

2020-09-01

Author

Cevik, Mullet

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In this paper, we strengthen Hardy's [1995] and Ketland's [2005] arguments on the issues surrounding the self-referential nature of Yablo's paradox [1993]. We first begin by observing that Priest's [1997] construction of the binary satisfaction relation in revealing a fixed point relies on impredicative definitions. We then show that Yablo's paradox is 'omega-circular', based on omega-inconsistent theories, by arguing that the paradox is not self-referential in the classical sense but rather admits circularity at the least transfinite countable ordinal. Hence, we both strengthen arguments for the omega-inconsistency of Yablo's paradox and present a compromise solution of the problem emerging from Yablo's and Priest's conflicting theses.

Subject Keywords

Philosophy

URI

https://hdl.handle.net/11511/63577

Journal

LOGIC AND LOGICAL PHILOSOPHY

DOI

https://doi.org/10.12775/llp.2019.032

Collections

Department of Mathematics, Article

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Citation Formats

M. Cevik, “omega-Circularity of Yablo’s Paradox,” LOGIC AND LOGICAL PHILOSOPHY, pp. 325–333, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/63577.