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1 results

  • INEFFABILITY AND REVENGE

  • CHRIS SCAMBLER
  • Journal:
    The Review of Symbolic Logic / Volume 13 / Issue 4 / December 2020
    Published online by Cambridge University Press:
    27 December 2018, pp. 797-809
    Print publication:
    December 2020

  • In recent work Philip Welch has proven the existence of ‘ineffable liars’ for Hartry Field’s theory of truth. These are offered as liar-like sentences that escape classification in Field’s transfinite hierarchy of determinateness operators. In this article I present a slightly more general characterization of the ineffability phenomenon, and discuss its philosophical significance. I show the ineffable sentences to be less ‘liar-like’ than they appear in Welch’s presentation. I also point to some open technical problems whose resolution would greatly clarify the philosophical issues raised by the ineffability phenomenon.