Description

• Title:
  ω-Circularity of Yablo's Paradox
• Creator:
  Çevik, Ahmet
• Description:
  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 ‘ω-circular’, based on ω-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 ω-inconsistency of Yablo’s paradox and present a compromise solution of the problem emerged from Yablo’s and Priest’s conflicting theses.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Logic and Logical Philosophy
• Date:
  2019.08.30
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion
• Language:
  English
• Source:
  Logic and Logical Philosophy; Vol. 29 No. 3 (2020): September; 325-333;
  Logic and Logical Philosophy; Tom 29 Nr 3 (2020): September; 325-333;
  2300-9802;
  1425-3305
• Format:
  application/pdf
• Publisher:
  Uniwersytet Mikołaja Kopernika w Toruniu
• Relation: https://apcz.umk.pl/LLP/article/view/LLP.2019.032/18073
• Subject:
  self-reference;
  Yablo's paradox;
  ω-circularity;
  ω-inconsistent theories;
  impredicativity
• Identifier: https://apcz.umk.pl/LLP/article/view/LLP.2019.032
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  text