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An Infinite Lottery Paradox
Axiomathes 32 (1):1-6 (2022)
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.Author Profiles
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References found in this work
Probability, Induction and Statistics: The Art of Guessing.Bruno De Finetti - 1972 - New York: John Wiley.
Infinitesimal Probabilities.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2016 - British Journal for the Philosophy of Science 69 (2):509-552.
Measuring the Size of Infinite Collections of Natural Numbers: Was Cantor’s Theory of Infinite Number Inevitable?Paolo Mancosu - 2009 - Review of Symbolic Logic 2 (4):612-646.
Author's responses.John D. Norton - 2021 - Studies in History and Philosophy of Science Part A 85:114-126.
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