Rethinking Revision.

We sketch a broadening of the Gupta-Belnap notion of a circular or revision theoretic definition into that of a more generalized form incorporating ideas of Kleene's generalized or higher type recursion. This thereby connects the philosophically motivated, and derived, notion of a circular definitio...

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Publicado en:Journal of Philosophical Logic Vol. 48; no. 1; pp. 137 - 155
Autor principal: Welch, P. D.
Formato: Artículo
Publicado: Springer Nature Feb2019
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Acceso en línea:Ver este registro en EBSCOhost
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        au: Welch, P. D.
        affil: School of Mathematics, University of Bristol, BS8 1TW, Bristol, England
      su:
        Recursion theory
        Functionals
        Oracles
        Arithmetic
        Predicate (Logic)
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          Recursion theory
          Functionals
          Oracles
          Arithmetic
          Predicate (Logic)
      keyword:
        Kleene recursion
        Revision theory
        Spector class
        Theory of definition
      ab: We sketch a broadening of the Gupta-Belnap notion of a circular or revision theoretic definition into that of a more generalized form incorporating 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.
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    language: English
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