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      Fair infinite lotteries, qualitative probability, and regularity

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      Author(s)
      DiBella, Nicholas
      Date
      2022-02-11
      Source Title
      Philosophy of Science
      Print ISSN
      0031-8248
      Electronic ISSN
      1539-767X
      Publisher
      Cambridge University Press
      Volume
      89
      Issue
      4
      Pages
      824 - 844
      Language
      English
      Type
      Article
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      Abstract
      A number of philosophers have thought that fair lotteries over countably infinite sets of outcomes are conceptually incoherent by virtue of violating countable additivity. In this article, I show that a qualitative analogue of this argument generalizes to an argument against the conceptual coherence of a much wider class of fair infinite lotteries—including continuous uniform distributions. I argue that this result suggests that fair lotteries over countably infinite sets of outcomes are no more conceptually problematic than continuous uniform distributions. Along the way, I provide a novel argument for a weak qualitative, epistemic version of regularity.
      Permalink
      http://hdl.handle.net/11693/111907
      Published Version (Please cite this version)
      10.1017/psa.2022.4
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