Open Access
VOL. 10 | 2013 The Origins of de Finetti’s Critique of Countable Additivity
Eugenio Regazzini

Editor(s) Galin Jones, Xiaotong Shen

Inst. Math. Stat. (IMS) Collect., 2013: 63-82 (2013) DOI: 10.1214/12-IMSCOLL1204


Bruno de Finetti was one of the most convinced advocates of finitely additive probabilities. The present work describes the intellectual process that led him to support that stance and provides a detailed account both of the first paper by de Finetti on the subject and of the ensuing correspondence with Maurice Fréchet. Moreover, the analysis is supplemented by a useful picture of de Finetti’s interactions with the international scientific community at that time, when he elaborated his subjectivistic conception of probability.


Published: 1 January 2013
First available in Project Euclid: 23 September 2013

zbMATH: 1328.60004
MathSciNet: MR3586939

Digital Object Identifier: 10.1214/12-IMSCOLL1204

Primary: 60-03 , 60A05

Keywords: finitely additive probabilities , processes with independent and stationary increments , subjective probabilities

Rights: Copyright © 2013, Institute of Mathematical Statistics

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