Bell's Theorem
What it Takes
Bibliographic Data
| ID | 8397121 |
|---|---|
| Authors | Jeremy Butterfield (0000-0002-0215-5802, Bridge University, corresponding author) |
| Year | 1992 |
| Volume | 43 |
| Issue | 1 |
| Pages | 41-83 |
| Publication date | 1992-03-01 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | The British Journal for the Philosophy of Science (JOURNAL) |
| Journal identifiers | ISSN: 0007-0882 • E-ISSN: 1464-3537 |
| Publisher | Oxford University Press (PUBLISHER • GB) |
| DOI | 10.1093/bjps/43.1.41 |
| OpenAlex | W2029791185 |
| Language | EN |
| Citations received | 20 |
| References cited | 27 |
I compare deterministic and stochastic hidden variable models of the Bell experiment, exphasising philosophical distinctions between the various ways of combining conditionals and probabilities. I make four main claims. (1) Under natural assumptions, locality as it occurs in these models is equivalent to causal independence, as analysed (in the spirit of Lewis) in terms of probabilities and conditionals. (2) Stochastic models are indeed more general than deterministic ones. (3) For factorizable stochastic models, relativity's lack of superluminal causation does not favour locality over completeness. (4) If we prohibit all superluminal causation, then the violation of the Bell inequality teaches us a lesson, besides quantum mechanics' familiar ones that quantities can lack precise values and that pairs of quantities can lack joint probabilities: namely, some pairs of events are not screened off by their common past.
Bell's theorem · Calculus (dental) · Causation · Completeness (order theory) · Determinism · Epistemology · Hidden variable theory · Independence (probability theory) · Indeterminism · Kochen–Specker theorem · Locality · Mathematical economics · Natural (archaeology) · Physics · Quantum · Quantum entanglement · Quantum mechanics · Statistics · Superluminal motion · Theoretical physics · Mathematics · Philosophy · Philosophy and History of Science · Philosophy and Theoretical Science · Quantum Mechanics and Applications
Minimal assumption derivation of a weak Clauser–Horne inequality
Formalizing the separability condition in Bell's theorem
Multiple-context event spaces and distributions
What econometrics cannot teach quantum mechanics
Causation, information, and physics
A stronger Bell argument for (some kind of) parameter dependence
An impossibility theorem for parameter independent hidden variable theories
Why quantum mechanics favors adynamical and acausal interpretations such as relational blockworld over backwardly causal and time-symmetric rivals
Bohm, Spin, and the Bell Inequalities
On quantum entanglement, counterfactuals, causality and dispositions
Cramer’s Transactional Interpretation and Causal Loop Problems
Determinism and locality in quantum systems
Stapp's theorem without counterfactual commitments
Are Prohibitions of Superluminal Causation by Stochastic Einstein Locality and by Absence of Lewisian Probabilistic Counterfactual Causality Equivalent
On Becoming, Relativity, and Nonseparability
Quantum Causal Models, Faithfulness, and Retrocausality
Relativity, Quantum Entanglement, Counterfactuals, and Causation
Stochastic Einstein Locality Revisited
Einstein, Bell, and Nonseparable Realism
Outcomes in Branching Space-Time and GHZ-Bell Theorems
A Primer on Determinism
Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
The Direction of Time
A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. I
On the Einstein Podolsky Rosen paradox
The Logic of Scientific Discovery
The Charybdis of realism
Some local models for correlation experiments
Hidden Locality, Conspiracy and Superluminal Signals
Counterfactual Definiteness and Local Causation
Do the Bell Inequalities Require the Existence of Joint Probability Distributions
Nonlocal Influences and Possible Worlds—A Stapp in the Wrong Direction
Probability and the Interpretation of Quantum Mechanics
The scientific image
| Unique citing works | 20 |
|---|---|
| Citations per year | 0,61 |
| Citation span | 1993 - 2020 (28) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 19 |