Bell's theorem in an indeterministic universe
Synthese 102 (1):139 - 164 (1995)
| Abstract | A variation of Bell's theorem that deals with the indeterministic case is formulated and proved within the logical framework of Lewis's theory of counterfactuals. The no-faster-than-light-influence condition is expressed in terms of Lewis would counterfactual conditionals. Objections to this procedure raised by certain philosophers of science are examined and answered. The theorem shows that the incompatibility between the predictions of quantum theory and the idea of no faster-than-light influence cannot be ascribed to any auxiliary or tacit assumption of either determinism or the related idea that outcomes of unperformed measurements are determinate within nature. In addition, the theorem provides an example of an application of Lewis's theory of counterfactuals in a rigorous scientific context. | |||||||||
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Tomasz Bigaj (2006). Non-Locality and Possible Worlds. A Counterfactual Perspective on Quantum Entanglement. Ontos Verlag.
Brian Skyrms (1982). Counterfactual Definiteness and Local Causation. Philosophy of Science 49 (1):43-50.
Tomasz Bigaj (2010). How to (Properly) Strengthen Bell's Theorem Using Counterfactuals. Studies in History and Philosophy of Science Part B 41 (1):58-66.
Tomasz Bigaj (2007). Counterfactuals and Non-Locality of Quantum Mechanics: The Bedford–Stapp Version of the GHZ Theorem. Foundations of Science 12 (1).
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