David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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British Journal for the Philosophy of Science 51 (3):445-475 (2000)
The paper extends the framework of outcomes in branching space-time (Kowalski and Placek ) by assigning probabilities to outcomes of events, where these probabilities are interpreted either epistemically or as weighted possibilities. In resulting models I define the notion of common cause of correlated outcomes of a single event, and investigate which setups allow for the introduction of common causes. It turns out that a deterministic common cause can always be introduced, but (surprisingly) only special setups permit the introduction of truly stochastic common causes. I analyse next the Bell-Aspect experiment and derive the Bell-CH inequalities. I observe that we postulate there not a common cause for outcomes of a single event but rather a common common cause that accounts for outcomes of many events, where 'events' mean 'measurements with (different) directions of polarization'. Since the inequalities are violated, I claim that no causal story can be told about the Bell correlations, where causality is subliminal and restricted by screening-off condition. Similarly, given certain intuitive principles, no deterministic story can be told about these correlations
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Citations of this work BETA
Jeremy Butterfield (2007). Stochastic Einstein Locality Revisited. British Journal for the Philosophy of Science 58 (4):805 - 867.
Thomas Müller (2010). Towards a Theory of Limited Indeterminism in Branching Space-Times. Journal of Philosophical Logic 39 (4):395 - 423.
Tomasz Placek & Leszek Wroński (2009). On Infinite Epr-Like Correlations. Synthese 167 (1):1 - 32.
Zalán Gyenis & Miklós Rédei (2013). Atomicity and Causal Completeness. Erkenntnis 79 (S3):1-15.
Nuel Belnap (2007). Propensities and Probabilities. Studies in History and Philosophy of Science Part B 38 (3):593-625.
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