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Title of Journal: Erkenn

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Abbravation: Erkenntnis

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Springer Netherlands

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10.1007/bf02011381

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1572-8420

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Atomicity and Causal Completeness

Authors: Zalán Gyenis Miklós Rédei
Publish Date: 2013/02/23
Volume: 79, Issue: 3, Pages: 437-451
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Abstract

The role of measure theoretic atomicity in common cause closedness of general probability theories with nondistributive event structures is raised and investigated It is shown that if a general probability space is nonatomic then it is common cause closed Conditions are found that entail that a general probability space containing two atoms is not common cause closed but it is common cause closed if it contains only one atom The results are discussed from the perspective of the Common Cause PrincipleWe thank the audience of the “Causes and Tenses—Formal Perspectives” Workshop Department of Philosophy Jagiellonian University Cracow Poland September 10–11 2011 for discussion related to the topic of this paper Work supported in part by the Hungarian Scientific Research Found OTKA contract number 100715


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