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

- Publication Year:
- 2010

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Learn more- Repository URL:
- http://philsci-archive.pitt.edu/id/eprint/5527

- Author(s):

##### artifact description

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.