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Common cause completability of non-classical probability spaces

Gyenis, Zalán and Rédei, Miklós (2017) Common cause completability of non-classical probability spaces. [Preprint]

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Abstract

We prove that under some technical assumptions on a general, non-classical probability space, the probability space is extendible into a larger probability space that is common cause closed in the sense of containing a common cause of every correlation between elements in the space. It is argued that the philosophical significance of this common cause completability result is that it allows the defence of the Common Cause Principle against certain attempts of falsification. Some open problems concerning possible strengthening of the common cause completability result are formulated.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Gyenis, Zalángyz@renyi.hu
Rédei, MiklósM.Redei@lse.ac.uk
Additional Information: Forthcoming in the Belgrade Philosophical Annual
Keywords: Common Cause Principle, non-classical probability
Subjects: General Issues > Causation
Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr Miklos Redei
Date Deposited: 02 Mar 2017 14:54
Last Modified: 02 Mar 2017 14:54
Item ID: 12866
Subjects: General Issues > Causation
Specific Sciences > Physics
Specific Sciences > Probability/Statistics
Specific Sciences > Physics > Quantum Mechanics
Date: 6 February 2017
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/12866

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