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Fair infinite lotteries
Synthese 190 (1):37-61 (2013)
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.Author Profiles
DOI
10.1007/s11229-010-9836-x
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Citations of this work
Surreal Decisions.Eddy Keming Chen & Daniel Rubio - 2020 - Philosophy and Phenomenological Research 100 (1):54-74.
Infinitesimal Probabilities.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2016 - British Journal for the Philosophy of Science 69 (2):509-552.
You've Come a Long Way, Bayesians.Jonathan Weisberg - 2015 - Journal of Philosophical Logic 44 (6):817-834.
Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics.Vladimir Kanovei, Mikhail G. Katz & Thomas Mormann - 2013 - Foundations of Science 18 (2):259-296.
Infinitesimals are too small for countably infinite fair lotteries.Alexander R. Pruss - 2014 - Synthese 191 (6):1051-1057.
References found in this work
Causal necessity: a pragmatic investigation of the necessity of laws.Brian Skyrms - 1980 - New Haven: Yale University Press.
Truth and probability.Frank Ramsey - 1926 - In Antony Eagle (ed.), Philosophy of Probability: Contemporary Readings. Routledge. pp. 52-94.
A subjectivist’s guide to objective chance.David K. Lewis - 1980 - In Richard C. Jeffrey (ed.), Studies in Inductive Logic and Probability, Volume II. Berkeley: University of California Press. pp. 263-293.
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