| Dubins, L.E. `Finitely additive conditional probabilities, conglomerability, and disintegrations,' Ann. Prob. 3:89-99, 1975. |
....line of argument here is that if one accepts the Dutch book foundations for subjective probability, then one will have to accept that subjective probability is countably additive. See for example [de Finetti 1972] pages 98 Gamma 100, and [Kadane et al. 1986] section 6. Hill Lane 1986] [Dubins 1975], de Finetti 1972] pg. 99. Seidenfeld Schervish 1983] Heath Sudderth 1978] for instance it is required for the proof of the strong law of large numbers. Kolmogorov adopted countable additivity for his influential work on the mathematical theory of probability because of its success: ....
Lester E. Dubins: `Finitely additive conditional probabilities, conglomerability and disintegrations', Annals of Probability 3(1), pages 89-99.
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Dubins, L.E. `Finitely additive conditional probabilities, conglomerability, and disintegrations,' Ann. Prob. 3:89-99, 1975.
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