A contextual-hierarchical approach to truth and the liar paradox

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Abstract

This paper presents an approach to truth and the Liar paradox which combines elements of context dependence and hierarchy. This approach is developed formally, using the techniques of model theory in admissible sets. Special attention is paid to showing how starting with some ideas about context drawn from linguistics and philosophy of language, we can see the Liar sentence to be context dependent. Once this context dependence is properly understood, it is argued, a hierarchical structure emerges which is neither ad hoc nor unnatural.

Original languageEnglish (US)
Pages (from-to)27-88
Number of pages62
JournalJournal of Philosophical Logic
Volume33
Issue number1
DOIs
StatePublished - 2004
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Philosophy

Keywords

  • Admissible sets
  • Infinitary logic
  • Liar paradox
  • Truth

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