Synthese

, Volume 174, Issue 3, pp 331–340

Probability, rational single-case decisions and the Monty Hall Problem

Open AccessArticle

DOI: 10.1007/s11229-008-9455-y

Cite this article as:
Sprenger, J. Synthese (2010) 174: 331. doi:10.1007/s11229-008-9455-y

Abstract

The application of probabilistic arguments to rational decisions in a single case is a contentious philosophical issue which arises in various contexts. Some authors (e.g. Horgan, Philos Pap 24:209–222, 1995; Levy, Synthese 158:139–151, 2007) affirm the normative force of probabilistic arguments in single cases while others (Baumann, Am Philos Q 42:71–79, 2005; Synthese 162:265–273, 2008) deny it. I demonstrate that both sides do not give convincing arguments for their case and propose a new account of the relationship between probabilistic reasoning and rational decisions. In particular, I elaborate a flaw in Baumann’s reductio of rational single-case decisions in a modified Monty Hall Problem.

Keywords

Probability Decision Theory Rationality Monty Hall Problem 
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Copyright information

© The Author(s) 2008

Authors and Affiliations

  1. 1.Tilburg Center for Logic and Philosophy of Science (TiLPS)Tilburg UniversityTilburgThe Netherlands