Rethinking Revision

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Abstract

We sketch a broadening of the Gupta-Belnap notion of a circular or revision theoretic definition into that of amore generalized formincorporating ideas of Kleene’s generalized or higher type recursion.

This thereby connects the philosophically motivated, and derived, notion of a circular definition with an older form of definition by recursion using functionals, that is functions of functions, as oracles. We note that Gupta and Belnap’s notion of ‘categorical in L’ can be formulated in at least one of these schemes.
Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalJournal of Philosophical Logic
Early online date15 Sep 2018
DOIs
Publication statusE-pub ahead of print - 15 Sep 2018

Keywords

  • revision theory
  • spector class
  • kleene recursion
  • theory of definition

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