An Infinite Lottery Paradox

Axiomathes 32 (1):1-6 (2022)
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Abstract

In a fair, infinite lottery, it is possible to conclude that drawing a number divisible by four is strictly less likely than drawing an even number; and, with apparently equal cogency, that drawing a number divisible by four is equally as likely as drawing an even number.

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Author Profiles

John D. Norton
University of Pittsburgh
Matthew Parker
University of Washington

Citations of this work

The Weirdness of the World.Eric Schwitzgebel - 2024 - Princeton University Press.
Strict dominance and symmetry.Alexander R. Pruss - 2023 - Philosophical Studies 180 (3):1017-1029.

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References found in this work

Regularity and Hyperreal Credences.Kenny Easwaran - 2014 - Philosophical Review 123 (1):1-41.
Infinitesimal Probabilities.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2016 - British Journal for the Philosophy of Science 69 (2):509-552.
Author's responses.John D. Norton - 2021 - Studies in History and Philosophy of Science Part A 85:114-126.

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