Abstract
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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Acknowledgements
Thanks to Hannes Leitgeb, Vieri Benci, Richard Pettigrew, and Lieven Decock for valuable discussions and comments. The contribution of SW was supported by the Odysseus Grant Formal Epistemology: Foundations and Applications funded by the Research Foundation Flanders (FWO-Vlaanderen). The contribution of LH was in part supported by the AHRC project Foundations of Structuralism (AH/H001670/1).
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Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
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Wenmackers, S., Horsten, L. Fair infinite lotteries. Synthese 190, 37–61 (2013). https://doi.org/10.1007/s11229-010-9836-x
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DOI: https://doi.org/10.1007/s11229-010-9836-x