Non-conglomerability for countably additive measures that are not κ-additive

Review of Symbolic Logic 10 (2):284-300 (2014)
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Abstract

Let κ be an uncountable cardinal. Using the theory of conditional probability associated with de Finetti and Dubins, subject to several structural assumptions for creating sufficiently many measurable sets, and assuming that κ is not a weakly inaccessible cardinal, we show that each probability that is not κ-­additive has conditional probabilities that fail to be conglomerable in a partition of cardinality no greater than κ. This generalizes our result, where we established that each finite but not countably additive probability has conditional probabilities that fail to be conglomerable in some countable partition

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Teddy Seidenfeld
Carnegie Mellon University

Citations of this work

Conditional Probabilities.Kenny Easwaran - 2019 - In Richard Pettigrew & Jonathan Weisberg (eds.), The Open Handbook of Formal Epistemology. PhilPapers Foundation. pp. 131-198.
Precise Credences.Michael Titelbaum - 2019 - In Richard Pettigrew & Jonathan Weisberg (eds.), The Open Handbook of Formal Epistemology. PhilPaper Foundation. pp. 1-55.
Merging of opinions and probability kinematics.Simon M. Huttegger - 2015 - Review of Symbolic Logic 8 (4):611-648.

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Set Theory.Thomas Jech - 1999 - Studia Logica 63 (2):300-300.

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