Subjective Probability and the Problem of Countable Additivity

Filozofia Nauki 17 (1) (2009)
  Copy   BIBTEX

Abstract

The aim of this paper is to present and analyse Bruno de Finetti's view that the axiom of countable additivity of the probability calculus cannot be justified in terms of the subjective interpretation of probability. After presenting the core of the subjective theory of probability and the main de Finetti's argument against the axiom of countable additivity (the so called de Finetti's infinite lottery) I argue against de Finetti's view. In particular, I claim that de Finetti does not prove the impossibility of using Dutch Book argument for the axiom of countable additivity. Consequently, we can use Dutch Book argument for the justification of the axiom of countable additivity and regard de Finetti's lottery as a special case when the axiom does not hold, or we can justify countable additivity by Dutch Book argument and reject de Finetti's lottery as irrational. The second strategy, represented especially by Jon Williamson, is much more compatible with the idea of subjective interpretation of probability

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 89,311

External links

  • This entry has no external links. Add one.
Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Countable additivity and the de finetti lottery.Paul Bartha - 2004 - British Journal for the Philosophy of Science 55 (2):301-321.
Countable additivity and subjective probability.Jon Williamson - 1999 - British Journal for the Philosophy of Science 50 (3):401-416.
De finetti, countable additivity, consistency and coherence.Colin Howson - 2008 - British Journal for the Philosophy of Science 59 (1):1-23.
All roads lead to violations of countable additivity.Jacob Ross - 2012 - Philosophical Studies 161 (3):381-390.
Non-Archimedean Probability.Vieri Benci, Leon Horsten & Sylvia Wenmackers - 2013 - Milan Journal of Mathematics 81 (1):121-151.
De Finetti was Right: Probability Does Not Exist.Robert F. Nau - 2001 - Theory and Decision 51 (2/4):89-124.
Realism, Convergence, and Additivity.Cory Juhl & Kevin T. Kelly - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:181 - 189.
Probability and the Logic of de Finetti's Trievents.Alberto Mura - 2009 - In Maria Carla Galavotti (ed.), Bruno de Finetti Radical Probabilist. College Publications. pp. 201--242.
Logic with numbers.Colin Howson - 2007 - Synthese 156 (3):491-512.

Analytics

Added to PP
2013-03-14

Downloads
0

6 months
0

Historical graph of downloads

Sorry, there are not enough data points to plot this chart.
How can I increase my downloads?

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references