Free Assumptions and the Liar Paradox

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Abstract

A new solution to the liar paradox is developed using the insight that it is illegitimate to even suppose (let alone assert) that a liar sentence has a truth-status (true or not) on the grounds that supposing this sentence to be true/not-true essentially defeats the telos of supposition in a readily identifiable way. On that basis, the paradox is blocked by restricting the Rule of Assumptions in Gentzen-style presentations of the sequent-calculus. The lesson of the liar is that not all assumptions are for free. One merit of this proposal is that it is free from the revenge problem.
Original languageEnglish
Pages (from-to)115-135
Number of pages21
JournalAmerican Philosophical Quarterly
Volume38
Issue number2
Publication statusPublished - Apr 2001

Keywords

  • TRUTH
  • Liar Paradox
  • Supposition
  • Revenge problem

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