Probability for the Revision Theory of Truth

Catrin Campbell-Moore, Leon Horsten, Hannes Leitgeb

Research output: Contribution to journalArticle (Academic Journal)peer-review

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Abstract

We investigate how to assign probabilities to sentences that contain a type-free truth predicate. These probability values track how often a sentence is satisfied in transfinite revision sequences, following Gupta and Belnap’s revision theory of truth. This answers an open problem by Leitgeb which asks how one might describe transfinite stages of the revision sequence using such probability functions. We offer a general construction, and explore additional constraints that lead to desirable properties of the resulting probability function. One such property is Leitgeb’s Probabilistic Convention T, which says that the probability of φ equals the probability that φ is true.

Original languageEnglish
Pages (from-to)87-112
Number of pages26
JournalJournal of Philosophical Logic
Volume48
Issue number1
Early online date20 Oct 2018
DOIs
Publication statusPublished - 1 Mar 2019

Structured keywords

  • FSB
  • Centre for Science and Philosophy

Keywords

  • Liar paradox
  • Semantic paradox
  • Revision theory of truth
  • Probabilistic convention T

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