Fair infinite lotteries

Synthese 190 (1):37-61 (2013)
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This article discusses how the concept of a fair finite lottery can best be extended to denumerably infinite lotteries. Techniques and ideas from non-standard analysis are brought to bear on the problem.
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Infinitesimal Chances and the Laws of Nature.Jackson, Frank; Priest, Graham & Elga, Adam

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Surreal Decisions.Chen, Eddy Keming & Rubio, Daniel
Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics.Kanovei, Vladimir; Katz, Mikhail G. & Mormann, Thomas

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