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  1.  22
    Completion of the Causal Completability Problem.Michal Marczyk & Leszek Wronski - 2015 - British Journal for the Philosophy of Science 66 (2):307-326.
    We give a few results concerning the notions of causal completability and causal closedness of classical probability spaces . We prove that any classical probability space has a causally closed extension; any finite classical probability space with positive rational probabilities on the atoms of the event algebra can be extended to a causally up-to-three-closed finite space; and any classical probability space can be extended to a space in which all correlations between events that are logically independent modulo measure zero event (...)
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  2.  59
    Exhaustive Classication of Finite Classical Probability Spaces with Regard to the Notion of Causal Up-to-N-Closedness.Michal Marczyk & Leszek Wronski - unknown
    Extending the ideas from (Hofer-Szabó and Rédei [2006]), we introduce the notion of causal up-to-n-closedness of probability spaces. A probability space is said to be causally up-to-n-closed with respect to a relation of independence R_ind iff for any pair of correlated events belonging to R_ind the space provides a common cause or a common cause system of size at most n. We prove that a finite classical probability space is causally up-to-3-closed w.r.t. the relation of logical independence iff its probability (...)
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  3.  37
    Only Countable Common Cause Systems Exist.Michal Marczyk & Leszek Wronski - unknown
    In this paper we give a positive answer to a problem posed by G. Hofer-Szabo and M. Redei regarding the existence of infinite common cause systems. An example of a countably infinite CCS is presented, as well as the proof that no CCSs of greater cardinality exist.
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