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An Infinite Lottery Paradox

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
Creators:
CreatorsEmailORCID
Norton, John D.jdnorton@pitt.edu0000-0003-0936-5308
Parker, Matthew W.m.parker@lse.ac.uk0000-0002-7436-2149
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
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
Date: 23 March 2021
URI: https://philsci-archive.pitt.edu/id/eprint/18923

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