Pride and Probability.

Bayesian agents, argues Belot, are orgulous: they believe in inductive success even when guaranteed to fail on a topologically typical collection of data streams. Here we shed light on how pervasive this phenomenon is. We identify several classes of inductive problems for which Bayesian convergence...

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Published in:Philosophy of Science Vol. 91; no. 3; pp. 634 - 661
Main Author: Zaffora Blando, Francesca
Format: Article
Published: Cambridge University Press Jul2024
Subjects:
Online Access:View this record in EBSCOhost
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        atl: Pride and Probability.
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        au: Zaffora Blando, Francesca
        affil: Department of Philosophy, Carnegie Mellon University, Pittsburgh, PA, USA
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        Acquisition of data
        Probability theory
        Success
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          Acquisition of data
          Probability theory
          Success
      ab: Bayesian agents, argues Belot, are orgulous: they believe in inductive success even when guaranteed to fail on a topologically typical collection of data streams. Here we shed light on how pervasive this phenomenon is. We identify several classes of inductive problems for which Bayesian convergence to the truth is topologically typical. However, we also show that, for all sufficiently complex classes, there are inductive problems for which convergence is topologically atypical. Last, we identify specific topologically typical collections of data streams, observing which guarantees convergence to the truth across all problems from certain natural classes of effective inductive problems.
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