PL EN


Journal
2009 | 17 | 1 | 123-134
Article title

Subjective Probability and the Problem of Countable Additivity

Content
Title variants
PL
Subiektywne prawdopodobieństwo i problem przeliczalnej addytywności
EN
Subjective Probability and the Problem of Countable Additivity
Languages of publication
PL
Abstracts
PL
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.
Keywords
Journal
Year
Volume
17
Issue
1
Pages
123-134
Physical description
Dates
published
2009-03-01
Contributors
References
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.ojs-issn-2657-5868-year-2009-volume-17-issue-1-article-563
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