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Probability, Hyperreals, Asymptotic Density, and God’s Lottery

Gwiazda, Jeremy (2010) Probability, Hyperreals, Asymptotic Density, and God’s Lottery. UNSPECIFIED.

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Abstract

Consider a subset, S, of the positive integers. What is the probability of selecting a number in S, assuming that each positive integer has an equal chance of selection? The purpose of this short paper is to provide an answer to this question. I also suggest that the answer allows us to determine the relative sizes of two subsets of the positive integers.


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Item Type: Other
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Gwiazda, Jeremy
Keywords: Probability; Hyperreals; Asymptotic Density; God’s Lottery
Subjects: Specific Sciences > Mathematics
Depositing User: Jeremy Gwiazda
Date Deposited: 01 Sep 2010
Last Modified: 07 Oct 2010 15:20
Item ID: 5527
Subjects: Specific Sciences > Mathematics
Date: 2010
URI: https://philsci-archive.pitt.edu/id/eprint/5527

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