What is a truth value and how many are there?

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Truth values are, properly understood, merely proxies for the various relations that can hold between language and the world. Once truth values are understood in this way, consideration of the Liar paradox and the revenge problem shows that our language is indefinitely extensible, as is the class of truth values that statements of our language can take - in short, there is a proper class of such truth values. As a result, important and unexpected connections emerge between the semantic paradoxes and the set-theoretic paradoxes.

Original languageEnglish (US)
Pages (from-to)183-201
Number of pages19
JournalStudia Logica
Issue number2
StatePublished - Jul 2009


  • Absolute generality
  • Indefinite extensibility
  • Liar paradox
  • Revenge problem
  • Semantics
  • Set theory
  • Truth value


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