Norton, John D. and Parker, Matthew W. (2021) An Infinite Lottery Paradox. [Preprint]
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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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Item Type: | Preprint | |||||||||
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Additional Information: | Forthcoming in Axiomathes, Special Issue Epistemologia 2022 | |||||||||
Keywords: | additivity, cardinality, comparative probability, inductive logic, infinite lottery, probability | |||||||||
Subjects: | General Issues > Confirmation/Induction General Issues > Decision Theory Specific Sciences > Probability/Statistics |
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Depositing User: | John Norton | |||||||||
Date Deposited: | 19 Apr 2021 03:05 | |||||||||
Last Modified: | 19 Apr 2021 03:05 | |||||||||
Item ID: | 18923 | |||||||||
Subjects: | General Issues > Confirmation/Induction General Issues > Decision Theory Specific Sciences > Probability/Statistics |
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Date: | 23 March 2021 | |||||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/18923 |
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