科研之友
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摘要
Let kappa be an uncountable cardinal. Using the theory of conditional probability associated with de Finetti (1974) and Dubins (1975), subject to several structural assumptions for creating sufficiently many measurable sets, and assuming that. is not a weakly inaccessible cardinal, we show that each probability that is not kappa- additive has conditional probabilities that fail to be conglomerable in a partition of cardinality no greater than kappa. This generalizes a result of Schervish, Seidenfeld, & Kadane (1984), which established that each finite but not countably additive probability has conditional probabilities that fail to be conglomerable in some countable partition.
- 出版日期2017-6
