Norton, John D. (2019) How NOT to Build an Infinite Lottery Machine. In: UNSPECIFIED.
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Official URL: https://doi.org/10.1016/j.shpsa.2019.07.001
Abstract
The sustained failure of efforts to design an infinite lottery machine using ordinary probabilistic randomizers is traced back to a problem familiar to set theorists: we have no constructive prescriptions for probabilistically non- measurable sets. Yet construction of such sets is required if we are to be able to read the result of an infinite lottery machine that is built from ordinary probabilistic randomizers. All such designs face a dilemma: they can provide an accessible (readable) result with probability zero; or an inaccessible result with probability greater than zero.
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| Item Type: | Conference or Workshop Item (UNSPECIFIED) | ||||||
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| Additional Information: | Published in in Studies in History and Philosophy of Science Part A, Volume 82, 2020, pp. 1-8 | ||||||
| Keywords: | axiom of choice, non-constructible, infinite lottery, probability, | ||||||
| Subjects: | Specific Sciences > Mathematics Specific Sciences > Probability/Statistics |
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| Depositing User: | John Norton | ||||||
| Date Deposited: | 19 Jul 2019 01:46 | ||||||
| Last Modified: | 02 Feb 2021 19:50 | ||||||
| Item ID: | 16236 | ||||||
| Official URL: | https://doi.org/10.1016/j.shpsa.2019.07.001 | ||||||
| Subjects: | Specific Sciences > Mathematics Specific Sciences > Probability/Statistics |
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| Date: | 14 July 2019 | ||||||
| URI: | http://philsci-archive.pitt.edu/id/eprint/16236 |
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