# Bell’s Theorem and the Issue of Determinism and Indeterminism

@article{Esfeld2015BellsTA, title={Bell’s Theorem and the Issue of Determinism and Indeterminism}, author={Michael Esfeld}, journal={Foundations of Physics}, year={2015}, volume={45}, pages={471-482} }

The paper considers the claim that quantum theories with a deterministic dynamics of objects in ordinary space-time, such as Bohmian mechanics, contradict the assumption that the measurement settings can be freely chosen in the EPR experiment. That assumption is one of the premises of Bell’s theorem. I first argue that only a premise to the effect that what determines the choice of the measurement settings is independent of what determines the past state of the measured system is needed for the… Expand

#### Figures from this paper

#### 15 Citations

M ar 2 02 1 Indeterminism and Undecidability

- 2021

The aim of this paper is to argue that the (alleged) indeterminism of quantum mechanics, claimed by adherents of the Copenhagen interpretation since Born (1926), can be proved from Chaitin’s… Expand

An Operationalist Perspective on Setting Dependence

- Computer Science
- Foundations of Physics
- 2019

It is shown that within this framework Bell’s theorem reduces to the conclusion that no-signaling requires randomness at the epistemic level even if the underlying ontology is taken to be deterministic. Expand

Violation of Bell Inequalities: Mapping the Conceptual Implications

- Physics
- 2021

This short article concentrates on the conceptual aspects of the violation of Bell inequalities, and acts as a map to the 265 cited references. The article outlines (a) relevant characteristics of… Expand

What does the world look like according to superdeterminism?

- Physics
- 2020

The violation of Bell inequalities seems to establish an important fact about the world: that it is non-local. However, this result relies on the assumption of the statistical independence of the… Expand

Randomness? What Randomness?

- Physics, Mathematics
- 2019

This is a review of the issue of randomness in quantum mechanics, with special emphasis on its ambiguity; for example, randomness has different antipodal relationships to determinism, computability,… Expand

Systems of random variables and the Free Will Theorem

- Computer Science
- 2020

This work reformulate and generalize the Free Will Theorem theorem in terms of systems of random variables, and shows that the proof is based on two observations: some compound systems are contextual (non-local), and any deterministic system with spacelike separated components is non-signaling. Expand

3 0 Ju l 2 01 9 Randomness ? What randomness ?

- 2019

This is a review of the issue of randomness in quantum mechanics, with special emphasis on its ambiguity; for example, randomness has different antipodal relationships to determinism, computability,… Expand

The hypothesis of “hidden variables”: a unifying principle, after all?

- 2020

In the debate whether local ‘hidden variables’ could exist underneath quantum probabilities, the ‘no hidden-variables’ position is at present favored. In this article I question this consensus, by… Expand

Understanding quantum mechanics: a review and synthesis in precise language

- Physics, Computer Science
- 2019

This review is broad in scope, and aims to reflect enough of the literature to be representative of the current state of the subject, and to contribute to achieving greater consensus on how to understand quantum mechanics. Expand

3 0 N ov 2 01 9 Randomness ? What randomness ?

- 2019

This is a review of the issue of randomness in quantum mechanics, with special emphasis on its ambiguity; for example, randomness has different antipodal relationships to determinism, computability,… Expand

#### References

SHOWING 1-10 OF 32 REFERENCES

Can the world be shown to be indeterministic after all

- Mathematics
- 2010

This essay considers and evaluates recent results and arguments from classical chaotic systems theory and non-relativistic quantum mechanics that pertain to the question of whether our world is… Expand

Local Causality and Completeness: Bell vs. Jarrett

- Mathematics, Physics
- 2009

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… Expand

John S. Bell’s concept of local causality

- Physics
- 2011

John Stewart Bell’s famous theorem is widely regarded as one of the most important developments in the foundations of physics. Yet even as we approach the 50th anniversary of Bell’s discovery, its… Expand

Bell's theorem

- Computer Science
- Scholarpedia
- 2011

The origins of this topic is a famous paper by Einstein, Rosen and Podolsky (EPR) in 1935; its title was Can Quantum-Mechanical Description of Physical Reality be Considered Complete? They considered… Expand

Quantum non-locality and relativity

- Physics
- 1994

It is sometimes stated that composite quantum systems in entangled states are fundamentally ‘non-local’(i.e. a measurement on one component system can affect a spacelike separated system… Expand

GRW as an ontology of dispositions

- Physics
- 2010

The paper argues that the formulation of quantum mechanics proposed by Ghirardi, Rimini and Weber (GRW) is a serious candidate for being a fundamental physical theory and explores its ontological… Expand

A SUGGESTED INTERPRETATION OF THE QUANTUM THEORY IN TERMS OF "HIDDEN" VARIABLES. II

- Physics
- 1952

In this paper, we shall show how the theory of measurements is to be understood from the point of view of a physical interpretation of the quantum theory in terms of hidden variables developed in a… Expand

Quantum physics without quantum philosophy

- Physics
- 1995

Abstract Quantum philosophy, a peculiar twentieth-century malady, is responsible for most of the conceptual muddle plaguing the foundations of quantum physics. When this philosophy is eschewed, one… Expand

Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy

- Philosophy, Physics
- 2004

List of papers on quantum philosophy by J. S. Bell Preface Acknowledgements Introduction by Alain Aspect 1. On the problem of hidden variables in quantum mechanics 2. On the Einstein-Rosen-Podolsky… Expand

No extension of quantum theory can have improved predictive power

- Physics, Medicine
- Nature communications
- 2011

This work says that no extension of quantum theory can give more information about the outcomes of future measurements than quantum theory itself, under the assumption that measurements can be chosen freely. Expand