Atomicity and Causal Completeness

Erkenntnis 79 (3):1-15 (2014)
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Abstract

The role of measure theoretic atomicity in common cause closedness of general probability theories with non-distributive event structures is raised and investigated. It is shown that if a general probability space is non-atomic 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 Principle

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Author Profiles

Miklós Rédei
London School of Economics
Zalan Gyenis
Jagiellonian University

References found in this work

The direction of time.Hans Reichenbach - 1956 - Mineola, N.Y.: Dover Publications. Edited by Maria Reichenbach.
A probabilistic theory of causality.Patrick Suppes - 1970 - Amsterdam: North-Holland Pub. Co..
The Direction of Time.Hans Reichenbach - 1956 - Philosophy 34 (128):65-66.

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