Infinitesimals are too small for countably infinite fair lotteries

Synthese 191 (6):1051-1057 (2014)
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Abstract

We show that infinitesimal probabilities are much too small for modeling the individual outcome of a countably infinite fair lottery

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10.1007/s11229-013-0307-z

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Alexander R. Pruss
Baylor University

Citations of this work

The normative status of logic.Florian Steinberger - 2017 - Stanford Enyclopedia of Philosophy.
Infinitesimal Probabilities.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2016 - British Journal for the Philosophy of Science 69 (2):509-552.
Chance and the Continuum Hypothesis.Daniel Hoek - 2021 - Philosophy and Phenomenological Research 103 (3):639-60.
Why Countable Additivity?Kenny Easwaran - 2013 - Thought: A Journal of Philosophy 2 (1):53-61.

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References found in this work

Fair infinite lotteries.Sylvia Wenmackers & Leon Horsten - 2013 - Synthese 190 (1):37-61.
Infinitesimal chances and the laws of nature.Adam Elga - 2004 - Australasian Journal of Philosophy 82 (1):67 – 76.
Infinite Lotteries, Perfectly Thin Darts and Infinitesimals.Alexander R. Pruss - 2012 - Thought: A Journal of Philosophy 1 (2):81-89.
Every real closed field has an integer part.M. H. Mourgues & J. P. Ressayre - 1993 - Journal of Symbolic Logic 58 (2):641-647.

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