Bayesian Convergence for Computably Bounded Agents.

In this article, we pursue two goals. First, we argue that computable probability theory offers a fitting framework for modeling the credences of computably bounded—and, thus, more realistic—Bayesian reasoners. Second, we develop a Bayesian perspective on algorithmic randomness: a branch of computab...

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Publicado en:Philosophy & Phenomenological Research Vol. 112; no. 1; pp. 307 - 325
Autores principales: Huttegger, Simon M., Walsh, Sean, Zaffora Blando, Francesca
Formato: Artículo
Publicado: Wiley-Blackwell Jan2026
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        10.1111/phpr.70079
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        atl: Bayesian Convergence for Computably Bounded Agents.
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          Huttegger, Simon M.
          Walsh, Sean
          Zaffora Blando, Francesca
        affil:
          Department of Logic and Philosophy of Science, University of California, Irvine California,, USA
          Department of Philosophy, University of California, Los Angeles California,, USA
          Department of Philosophy, Carnegie Mellon University, Pittsburgh Pennsylvania,, USA
      su:
        Bayesian analysis
        Probability theory
        Algorithms
        Theory of knowledge
        Truth
      sug:
        subj:
          Bayesian analysis
          Probability theory
          Algorithms
          Theory of knowledge
          Truth
      ab: In this article, we pursue two goals. First, we argue that computable probability theory offers a fitting framework for modeling the credences of computably bounded—and, thus, more realistic—Bayesian reasoners. Second, we develop a Bayesian perspective on algorithmic randomness: a branch of computability theory that provides a formal account of what it takes for a sequence of observations (a data stream) to be probabilistically typical in an algorithmically specifiable way. In particular, we argue that adopting such a perspective leads to novel insights for one of the pillars of Bayesian epistemology: Bayesian convergence to the truth. In a companion article, we showed that, for Bayesian agents whose credences are given by computable probability measures, the data streams that guarantee convergence to the truth coincide with the algorithmically random ones. Here, we put these results to use to counter various skeptical arguments which target the philosophical significance of Bayesian convergence‐to‐the‐truth theorems.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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