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Journal ArticleDOI

Bell's theorem in an indeterministic universe

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TLDR
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.
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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Citations
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Journal ArticleDOI

Nonlocal character of quantum theory

TL;DR: In this paper, it was shown that this concept of relativistic causality is incompatible with some simple predictions of quantum theory, such as that the truth of a statement that refers only to phenomena confined to an earlier time cannot depend upon which measurement an experimenter will freely choose to perform at a later time.

Modelling and generating complex emergent behaviour

Kirsty Kitto
TL;DR: This work identifies, and proceeds to examine systems at the high end of the complexity scale, those which have not to date been well understood by current modelling methodology, and shows that many such models exhibit what might be termed contextual dependency.
Journal ArticleDOI

Time-Symmetrized Counterfactuals in Quantum Theory

Lev Vaidman
TL;DR: In this paper, the issue of time symmetry of quantum counterfactuals is considered and a novel time-symmetric definition is proposed for analyzing several controversies related to quantum counters.
Posted Content

Defending Time-Symmetrized Quantum Counterfactuals

Lev Vaidman
TL;DR: In this paper, the authors defend the time-symmetrized quantum theory and reply to the criticism of these arguments by Kastner (1999) by arguing that the apparent contradiction is due to a logical error.
Journal ArticleDOI

Space-time counterfactuals

TL;DR: A definition is proposed to give precise meaning to the counterfactual statements that often appear in discussions of the implications of quantum mechanics, which involve events occurring at space-like separated points, which do not have an absolute time ordering.
References
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Journal ArticleDOI

On the Einstein-Podolsky-Rosen paradox

TL;DR: In this article, it was shown that even without such a separability or locality requirement, no hidden variable interpretation of quantum mechanics is possible and that such an interpretation has a grossly nonlocal structure, which is characteristic of any such theory which reproduces exactly the quantum mechanical predictions.
Book

Incompleteness, Nonlocality, and Realism: A Prolegomenon to the Philosophy of Quantum Mechanics

TL;DR: In this paper, the authors provide an introduction to the philosophy of physics and discuss action-at-a-distance, holism, and whether quantum mechanics gives a complete account of microphysical reality.
Journal ArticleDOI

Nonlocal Influences and Possible Worlds—A Stapp in the Wrong Direction

TL;DR: In this paper, the existence of nonlocal influences acting on correlated spin-1/2 particles in the singlet state was shown to be a non-local influence on the nonlocal influence.