Vol. 32 No. 1 (2012)
Symposium

Circularity is Still Scary

Paula Teijeiro
Universidad de Buenos Aires

Published 2012-05-01

Keywords

  • Paradox,
  • Circularity,
  • Yablo’s formalization
  • Paradoja,
  • Circularidad,
  • Formalización de Yablo

Abstract

Cook (forthcoming) presents a paradox which he says is not circular. I see no reasons to doubt the non-circularity claim, but I do have some concerns regarding its paradoxicality. My point will be that his proposal succeeds in offering a formalization, but fails in providing a formal paradox, at least of the same type and strength as the Liar.

References

  1. Cook, R. (2004), “Patterns of paradox”, Journal of Symbolic Logic, 69, p.767-774.
  2. Cook, R. (2006), “There are non-circular paradoxes (but Yablos’ isn’t one of them)”, The Monist, 89 (1), pp. 118-149.
  3. Cook, R. (forthcoming), Yablo’s Paradox: An Essay on Circularity, Oxford, Oxford University Press.
  4. Ketland, J. (2005), “Yablo’s paradox and ω-inconsistency”, Synthese, 145(3), pp. 295-302.
  5. Priest, G. (1997), “Yablo’s paradox”, Analysis, 57, pp. 236-242.
  6. Yablo, S. (1993), “Paradox without self-reference”, Analysis, 53 (4), pp. 251–252.