Synthese

, Volume 190, Issue 1, pp 37–61

Fair infinite lotteries

Open AccessArticle

DOI: 10.1007/s11229-010-9836-x

Cite this article as:
Wenmackers, S. & Horsten, L. Synthese (2013) 190: 37. doi:10.1007/s11229-010-9836-x

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.

Keywords

Foundations of probabilityNon-standard analysisCountable additivityInfinity
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Copyright information

© The Author(s) 2010

Authors and Affiliations

  1. 1.Faculty of PhilosophyUniversity of GroningenGroningenThe Netherlands
  2. 2.Department of PhilosophyUniversity of BristolBristolUK