PhilSci Archive

Beyond Finite Additivity

Howson, Colin (2019) Beyond Finite Additivity. [Preprint]

[img] Text
Beyond finite addivity preprint.docx

Download (45kB)

Abstract

Abstract. There is a Dutch Book argument for the axiom of countable additivity for subjective probability functions, but de Finetti famously rejected the axiom, arguing that it wrongly renders a uniform distribution impermissible over a countably infinite lottery. Dubins however showed that rejecting countable additivity has a strongly paradoxical consequence which a much weaker rule than countable additivity blocks. I argue that this rule, which also prohibits the de Finetti lottery itself, has powerful independent support in a desirable closure principle. I leave it as an open question whether countable additivity itself should be adopted.


Export/Citation: EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL
Social Networking:
Share |

Item Type: Preprint
Creators:
CreatorsEmailORCID
Howson, Colinhowson.colin@gmail.com
Keywords: Countable additivity; de Finetti lottery; probability one; logical consequence.
Subjects: Specific Sciences > Probability/Statistics
Depositing User: Dr. Colin Howson
Date Deposited: 31 Dec 2019 22:57
Last Modified: 31 Dec 2019 22:57
Item ID: 16761
Subjects: Specific Sciences > Probability/Statistics
Date: 30 September 2019
URI: http://philsci-archive.pitt.edu/id/eprint/16761

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item View Item