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Bell's Theorem: A Guide to the Implications

In James T. Cushing & Ernan McMullin (eds.), Philosophical Consequences of Quantum Theory. University of Notre Dame Press. pp. 60--79 (1989)

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  1. Fine ways to fail to secure local realism.Soazig Le Bihan - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (2):142-150.
    Since he proved his theorem in 1982, Fine has been challenging the traditional interpretation of the experimental violation of the Bell Inequalities. A natural interpretation of Fine's theorem is that it provides us with an alternative set of assumptions on which to place blame for the failure of the BI, and opens to a new interpretation of the violation of the BI. Fine has a stronger interpretation for his theorem. He claims that his result undermines the traditional interpretation in terms (...)
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  • Einstein, bell, and nonseparable realism.Federico Laudisa - 1995 - British Journal for the Philosophy of Science 46 (3):309-329.
    In the context of stochastic hidden variable theories, Howard has argued that the role of separability—spatially separated systems possess distinct real states—has been underestimated. Howard claims that separability is equivalent to Jarrett‘s completeness: this equivalence should imply that the Bell theorem forces us to give up either separability or locality. Howard's claim, however, is shown to be ill founded since it is based on an implausible assumption. The necessity of sharply distinguishing separability and locality is emphasized: a quantitative formulation of (...)
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  • John Stewart Bell and his work—On the occasion of his sixtieth birthday.Max Jammer - 1990 - Foundations of Physics 20 (10):1139-1145.
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  • What conditional probability could not be.Alan Hájek - 2003 - Synthese 137 (3):273--323.
    Kolmogorov''s axiomatization of probability includes the familiarratio formula for conditional probability: 0).$$ " align="middle" border="0">.
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  • For whom the bell arguments toll.James Hawthorne & Michael Silberstein - 1995 - Synthese 102 (1):99-138.
    We will formulate two Bell arguments. Together they show that if the probabilities given by quantum mechanics are approximately correct, then the properties exhibited by certain physical systems must be nontrivially dependent on thetypes of measurements performedand eithernonlocally connected orholistically related to distant events. Although a number of related arguments have appeared since John Bell's original paper (1964), they tend to be either highly technical or to lack full generality. The following arguments depend on the weakest of premises, and the (...)
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  • Minimal Assumption Derivation of a Bell-type Inequality.G. Grasshoff - 2005 - British Journal for the Philosophy of Science 56 (4):663-680.
    John Bell showed that a big class of local hidden-variable models stands in conflict with quantum mechanics and experiment. Recently, there were suggestions that empirically adequate hidden-variable models might exist which presuppose a weaker notion of local causality. We will show that a Bell-type inequality can be derived also from these weaker assumptions. IntroductionThe EPR-Bohm experimentLocal causalityBell's inequality from separate common causes4.1 A weak screening-off principle4.2 Perfect correlation and ‘determinism’4.3 A minimal theory for spins4.4 No conspiracyDiscussion.
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  • Minimal Assumption Derivation of a Bell-Type Inequality.Gerd Graßhoff, Samuel Portmann & Adrian Wüthrich - 2005 - British Journal for the Philosophy of Science 56 (4):663 - 680.
    John Bell showed that a big class of local hidden-variable models stands in conflict with quantum mechanics and experiment. Recently, there were suggestions that empirically adequate hidden-variable models might exist which presuppose a weaker notion of local causality. We will show that a Bell-type inequality can be derived also from these weaker assumptions.
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  • Gonseth and Quine.Michael Esfeld - 2001 - Dialectica 55 (3):199–219.
    This paper compares the four principles of Gonseth’s epistemology with Quine’s “Two Dogmas of Empiricism”. It is shown how Gonseth’s epistemology avoids the main objections to Quine’s holism. On this basis, the relevance of Gonseth’s epistemology for today’s discussion is assessed.
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  • How to (properly) strengthen Bell's theorem using counterfactuals.Tomasz Bigaj - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (1):58-66.
    Bell’s theorem in its standard version demonstrates that the joint assumptions of the hidden-variable hypothesis and the principle of local causation lead to a conflict with quantum-mechanical predictions. In his latest counterfactual strengthening of Bell’s theorem, Stapp attempts to prove that the locality assumption itself contradicts the quantum-mechanical predictions in the Hardy case. His method relies on constructing a complex, non-truth functional formula which consists of statements about measurements and outcomes in some region R, and whose truth value depends on (...)
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  • Nonlocality Without Nonlocality.Steven Weinstein - 2009 - Foundations of Physics 39 (8):921-936.
    Bell’s theorem is purported to demonstrate the impossibility of a local “hidden variable” theory underpinning quantum mechanics. It relies on the well-known assumption of ‘locality’, and also on a little-examined assumption called ‘statistical independence’ (SI). Violations of this assumption have variously been thought to suggest “backward causation”, a “conspiracy” on the part of nature, or the denial of “free will”. It will be shown here that these are spurious worries, and that denial of SI simply implies nonlocal correlation between spacelike (...)
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  • The Scope and Generality of Bell’s Theorem.James Owen Weatherall - 2013 - Foundations of Physics 43 (9):1153-1169.
    I present a local, deterministic model of the EPR-Bohm experiment, inspired by recent work by Joy Christian, that appears at first blush to be in tension with Bell-type theorems. I argue that the model ultimately fails to do what a hidden variable theory needs to do, but that it is interesting nonetheless because the way it fails helps clarify the scope and generality of Bell-type theorems. I formulate and prove a minor proposition that makes explicit how Bell-type theorems rule out (...)
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  • On Healey's holistic interpretation of quantum mechanics.Don Robinson - 1992 - International Studies in the Philosophy of Science 6 (3):227 – 240.
    Abstract Richard Healey has recently defended an interactive and holistic interpretation of quantum mechanics. The present work focuses on the holistic aspects of this interpretation. Healey claims that symmetric causes are responsible for the experimental violations of the Bell inequalities and that relational holism is a metaphysical implication of these violations. Presented in this way, the holistic features of Healey's interpretation appear to provide metaphysical backing to the physical mechanism of symmetric causes. It is argued that relational holism is not (...)
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  • Scientific Realism and Quantum Mechanics: Revisiting a Controversial Relation.Maria Panagiotatou - 2017 - International Studies in the Philosophy of Science 31 (3):243-259.
    ABSTRACT: The article examines the controversial relation of scientific realism with quantum mechanics. To this end, two distinct discussions are invoked: the discussion about ‘realism’ in the context of quantum mechanics and the discussion about ‘scientific realism’ in the context of the general philosophy of science. The aim is to distinguish them in order, first, to argue that the former—revolving around ‘local realism’ and the theorems of Bell and Kochen–Specker—unjustifiably identifies realism with features of a particular worldview, and thereby fosters (...)
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  • Local Causality and Completeness: Bell vs. Jarrett. [REVIEW]Travis Norsen - 2009 - Foundations of Physics 39 (3):273-294.
    J.S. Bell believed that his famous theorem entailed a deep and troubling conflict between the empirically verified predictions of quantum theory and the notion of local causality that is motivated by relativity theory. Yet many physicists continue to accept, usually on the reports of textbook writers and other commentators, that Bell’s own view was wrong, and that, in fact, the theorem only brings out a conflict with determinism or the hidden-variables program or realism or some other such principle that (unlike (...)
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  • A stronger Bell argument for (some kind of) parameter dependence.Paul M. Näger - 2020 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 72:1-28.
    It is widely accepted that the violation of Bell inequalities excludes local theories of the quantum realm. This paper presents a stronger Bell argument which even forbids certain non-local theories. The conclusion of the stronger Bell argument presented here provably is the strongest possible consequence from the violation of Bell inequalities on a qualitative probabilistic level. Since among the excluded non-local theories are those whose only non-local probabilistic connection is a dependence between the space-like separated measurement outcomes of EPR/B experiments, (...)
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  • Evidence for interactive common causes. Resuming the Cartwright-Hausman-Woodward debate.Paul M. Näger - 2021 - European Journal for Philosophy of Science 12 (1):Article number: 2 (pages: 1-33).
    The most serious candidates for common causes that fail to screen off and thus violate the causal Markov condition refer to quantum phenomena. In her seminal debate with Hausman and Woodward, Cartwright early on focussed on unfortunate non-quantum examples. Especially, Hausman and Woodward’s redescriptions of quantum cases saving the CMC remain unchallenged. This paper takes up this lose end of the discussion and aims to resolve the debate in favour of Cartwright’s position. It systematically considers redescriptions of ICC structures, including (...)
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  • The causal problem of entanglement.Paul M. Näger - 2016 - Synthese 193 (4):1127-1155.
    This paper expounds that besides the well-known spatio-temporal problem there is a causal problem of entanglement: even when one neglects spatio-temporal constraints, the peculiar statistics of EPR/B experiment is inconsistent with usual principles of causal explanation as stated by the theory of causal Bayes nets. The conflict amounts to a dilemma that either there are uncaused correlations or there are caused independences . I argue that the central ideas of causal explanations can be saved if one accepts the latter horn (...)
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  • On peaceful coexistence: is the collapse postulate incompatible with relativity?Wayne C. Myrvold - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (3):435-466.
    In this paper, it is argued that the prima facie conflict between special relativity and the quantum-mechanical collapse postulate is only apparent, and that the seemingly incompatible accounts of entangled systems undergoing collapse yielded by different reference frames can be regarded as no more than differing accounts of the same processes and events. Attention to the transformation properties of quantum-mechanical states undergoing unitary, non-collapse evolution points the way to a treatment of collapse evolution consistent with the demands of relativity. r (...)
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  • On some early objections to Bohm's theory.Wayne C. Myrvold - 2003 - International Studies in the Philosophy of Science 17 (1):7 – 24.
    Recent literature on Bohm's alternative to mainstream quantum mechanics may create the misleading impression that, except for perfunctory dismissals, the theory was ignored by the physics community in the years immediately following its proposal. As a matter of fact, Einstein, Pauli, and Heisenberg all published criticisms of Bohm's theory, explaining their reasons for not accepting the theory. These criticisms will be discussed and evaluated in this article.
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  • Against Experimental Metaphysics.Martin R. Jones & Robert K. Clifton - 1993 - Midwest Studies in Philosophy 18 (1):295-316.
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  • Potential, propensity, and categorical realism.Chuang Liu - 1996 - Erkenntnis 45 (1):45 - 68.
    I argue that categorical realism, contrary to what most believe today, holds for quantum (and indeed for all) objects and substances. The main argument consists of two steps: (i) the recent experimental verification of the AB effect gives strong empirical evidence for taking quantum potentials as physically real (or substantival), which suggests a change of the data upon which any viable interpretation of quantum theory must rely, and (ii) quantum potentials may be consistently taken as the categorical properties of quantum (...)
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  • Causal Graphs for EPR Experiments.Paul M. Näger - 2013 - Preprint.
    We examine possible causal structures of experiments with entangled quantum objects. Previously, these structures have been obscured by assuming a misleading probabilistic analysis of quantum non locality as 'Outcome Dependence or Parameter Dependence' and by directly associating these correlations with influences. Here we try to overcome these shortcomings: we proceed from a recent stronger Bell argument, which provides an appropriate probabilistic description, and apply the rigorous methods of causal graph theory. Against the standard view that there is only an influence (...)
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  • A stronger Bell argument for quantum non-locality.Paul M. Näger - unknown
    It is widely accepted that the violation of Bell inequalities excludes local theories of the quantum realm. In this paper I present a stronger Bell argument which even forbids certain non-local theories. The remaining non-local theories, which can violate Bell inequalities, are characterised by the fact that at least one of the outcomes in some sense probabilistically depends both on its distant as well as on its local parameter. While this is not to say that parameter dependence in the usual (...)
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  • Understanding quantum phenomena.Soazig Le Bihan - 2008 - Dissertation, University of Nancy 2 - Henri Poincaré, and University of Bielefeld
    It so happens that classical physical theories can be interpreted as a representation of local interactions between systems with determinate properties. Orthodox quantum mechanics, which is one of our most experimentally well-confirmed theories, is notoriously resistant to being interpreted in terms of the above framework. Bell-type theorems and Bell-type experiments have made such an interpretation impossible. In the early sixties, John Bell demonstrated that any theory that represents its domain in terms of the above framework satisfies a set of inequalities, (...)
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