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  1. Ralph Abraham & Sisir Roy (2012). The Atomistic Revival. World Futures 68 (1):30 - 39.
    In our recent book (Abraham and Roy 2010) we have repurposed a mathematical model for the quantum vacuum as a model of consciousness. In this model, discrete space and time are derived from a discrete cellular dynamical network. As our model is essentially atomistic, we included in our book a short support chapter on atomism. In this aticle we expand on the few pages of that chapter devoted to the history of atomism, to place the current revival of atomism in (...)
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  2. Prabhakar Adsule (1998). An Introduction to the Science of Psychic Condensate Phase of Patanjali: Patanjali's Thoughts Re-Looked in the Light of Emerging Quantum Science. Sudha Kiran.
  3. Diederik Aerts (1994). Quantum Structures, Separated Physical Entities and Probability. Foundations of Physics 24 (9):1227-1259.
    We prove that if the physical entity S consisting of two separated physical entities S1 and S2 satisfies the axioms of orthodox quantum mechanics, then at least one of the two subentities is a classical physical entity. This theorem implies that separated quantum entities cannot be described by quantum mechanics. We formulate this theorem in an approach where physical entities are described by the set of their states, and the set of their relevant experiments. We also show that the collection (...)
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  4. Diederik Aerts & Thomas Durt (1994). Quantum, Classical and Intermediate: An Illustrative Example. [REVIEW] Foundations of Physics 24 (10):1353-1369.
    We present a model that allows one to build structures that evolve continuously from classical to quantum, and we study the intermediate situations, giving rise to structures that are neither classical nor quantum. We construct the closure structure corresponding to the collection of eigenstate sets of these intermediate situations, and demonstrate how the superposition principle disappears during the transition from quantum to classical. We investigate the validity of the axioms of quantum mechanics for the intermediate situations.
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  5. Diederik Aerts, Liane Gabora & Sandro Sozzo (2013). Concepts and Their Dynamics: A Quantum‐Theoretic Modeling of Human Thought. Topics in Cognitive Science 5 (4):737-772.
    We analyze different aspects of our quantum modeling approach of human concepts and, more specifically, focus on the quantum effects of contextuality, interference, entanglement, and emergence, illustrating how each of them makes its appearance in specific situations of the dynamics of human concepts and their combinations. We point out the relation of our approach, which is based on an ontology of a concept as an entity in a state changing under influence of a context, with the main traditional concept theories, (...)
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  6. Joseph Agassi (1983). The Structure of the Quantum Revolution. Philosophy of the Social Sciences 13 (3):367-381.
  7. Joseph Agassi (1972). The Interface of Philosophy and Physics. [REVIEW] Philosophy of Science 39 (2):263 - 265.
  8. E. Akkermans (ed.) (1995). Physique Quantique Mésoscopique =. Elsevier.
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  9. A. D. Alhaidari (2010). Dirac Equation with Coupling to 1/R Singular Vector Potentials for All Angular Momenta. Foundations of Physics 40 (8):1088-1095.
    We consider the Dirac equation in 3+1 dimensions with spherical symmetry and coupling to 1/r singular vector potential. An approximate analytic solution for all angular momenta is obtained. The approximation is made for the 1/r orbital term in the Dirac equation itself not for the traditional and more singular 1/r 2 term in the resulting second order differential equation. Consequently, the validity of the solution is for a wider energy spectrum. As examples, we consider the Hulthén and Eckart potentials.
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  10. A. Amann & H. Atmanspacher (1998). Fluctuations in the Dynamics of Single Quantum Systems. Studies in History and Philosophy of Science Part B 29 (2):151-182.
    The traditional formalism of quantum mechanics is mainly used to describe ensembles of identical systems (with a density-operator formalism) or single isolated systems, but is not capable of describing single open quantum objects with many degrees of freedom showing pure-state stochastic dynamical behaviour. In particular, stochastic 'line-migration' as in single-molecule spectroscopy of defect molecules in a molecular matrix is not adequately described. Starting with the Bohr scenario of stochastic quantum jumps (between strict energy eigenstates), we try to incorporate more general (...)
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  11. I. Antoniou & Z. Suchanecki (1994). The Logic of Quantum Systems with Diagonal Singularities. Foundations of Physics 24 (10):1439-1457.
    The work of the Brussels-Austin groups on irreversibility over the last years has shown that Quantum Large Poincaré systems with diagonal singularity lead to an extension of the conventional formulation of dynamics at the level of mixtures which is manifestly time asymmetric. States with diagonal singularity acquire meaning as linear fractionals over the involutive Banach algebra of operators with diagonal singularity. We show in this paper that the logic of quantum systems with diagonal singularity is not the conventional logic of (...)
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  12. Jonas Rafael Becker Arenhart (2013). Weak Discernibility in Quantum Mechanics: Does It Save PII? Axiomathes 23 (3):461-484.
    The Weak Principle of the Identity of Indiscernibles (weak PII), states that numerically distinct items must be discernible by a symmetrical and irreflexive relation. Recently, some authors have proposed that weak PII holds in non relativistic quantum mechanics, contradicting a long tradition claiming PII to be simply false in that theory. The question that arises then is: are relations allowed in the scope of PII? In this paper, we propose that quantum mechanics does not help us in deciding matters concerning (...)
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  13. David Atkinson (2007). Losing Energy in Classical, Relativistic and Quantum Mechanics. Studies in History and Philosophy of Science Part B 38 (1):170-180.
    A Zenonian supertask involving an infinite number of colliding balls is considered, under the restriction that the total mass of all the balls is finite. Classical mechanics leads to the conclusion that momentum, but not necessarily energy, must be conserved. Relativistic mechanics, on the other hand, implies that energy and momentum conservation are always violated. Quantum mechanics, however, seems to rule out the Zeno configuration as an inconsistent system.
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  14. Guido Bacciagaluppi & Elise Crull (2009). Heisenberg (and Schrödinger, and Pauli) on Hidden Variables. Studies in History and Philosophy of Science Part B 40 (4):374-382.
    In this paper, we discuss various aspects of Heisenberg’s thought on hidden variables in the period 1927–1935. We also compare Heisenberg’s approach to others current at the time, specifically that embodied by von Neumann’s impossibility proof, but also views expressed mainly in correspondence by Pauli and by Schroedinger. We shall base ourselves mostly on published and unpublished materials that are known but little-studied, among others Heisenberg’s own draft response to the EPR paper. Our aim will be not only to clarify (...)
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  15. G. B. Bagci (2009). Ghirardi-Rimini-Weber Collapse Theory and Whiteheadian Process Philosophy. Process Studies 38 (2):368-393.
    There have been many attempts to undertand the connections between quantum theory and Whiteheadian process philosophy. However, due to the ontological considerations, it is very important to specify which interpretation of quantum theory one embraces before inquiring into the details of Whitehead`s philosophy of organism. In this article, I argue that Ghirardi-Rimini-Weber (GRW) collapse interpretation of quantum theory serves as a suitable point of departure for future endeavors. Comparisons with many-worlds interpretation and decoherence approach have also been provided.
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  16. Fedde Benedictus (2011). Showing Quantum Tolerance. Metascience 20 (1):95-97.
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  17. Robert Bishop (2005). Patching Physics and Chemistry Together. Philosophy of Science 72 (5):710-722.
    The "usual story" regarding molecular chemistry is that it is roughly an application of quantum mechanics. That is to say, quantum mechanics supplies everything necessary and sufficient, both ontologically and epistemologically to reduce molecular chemistry to quantum mechanics. This is a reductive story, to be sure, but a key explanatory element of molecular chemistry, namely molecular structure, is absent from the quantum realm. On the other hand, typical characterizations of emergence, such as the unpredictability or inexplicability of molecular structure based (...)
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  18. Niels Bohr (1987). The Philosophical Writings of Niels Bohr. Ox Bow Press.
    v. 1. Atomic theory and the description of nature -- v. 2. Essays 1932-1957 on atomic physics and human knowledge -- v. 3. Essays 1958-1962 on atomic physics and human knowledge -- v. 4. Causality and complementarity.
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  19. Niels Bohr (1963/1987). Essays 1958-1962 on Atomic Physics and Human Knowledge. Ox Bow Press.
    Quantum physics and philosophy--causality and complementarity -- The unit of human knowledge -- The connection between the sciences -- Light and life revisited -- The Rutherford memorial lecture 1958 -- The genesis of quantum mechanics -- The Solvay meetings and the development of quantum physics.
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  20. Alisa Bokulich, Three Puzzles About Bohr's Correspondence Principle.
    Niels Bohr’s “correspondence principle” is typically believed to be the requirement that in the limit of large quantum numbers (n→∞) there is a statistical agreement between the quantum and classical frequencies. A closer reading of Bohr’s writings on the correspondence principle, however, reveals that this interpretation is mistaken. Specifically, Bohr makes the following three puzzling claims: First, he claims that the correspondence principle applies to small quantum numbers as well as large (while the statistical agreement of frequencies is only for (...)
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  21. John S. Briggs & Jan M. Rost (2001). On the Derivation of the Time-Dependent Equation of Schrödinger. Foundations of Physics 31 (4):693-712.
    Few have done more than Martin Gutzwiller to clarify the connection between classical time-dependent motion and the time-independent states of quantum systems. Hence it seems appropriate to include the following discussion of the origins of the time-dependent Schrödinger equation in this volume dedicated to him.
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  22. Jeremy Butterfield & Chris Isham, A Topos Perspective on the Kochen-Specker Theorem: II. Conceptual Aspects, and Classical Analogues.
    In a previous paper, we have proposed assigning as the value of a physical quantity in quantum theory, a certain kind of set (a sieve) of quantities that are functions of the given quantity. The motivation was in part physical---such a valuation illuminates the Kochen-Specker theorem; and in part mathematical---the valuation arises naturally in the topos theory of presheaves. This paper discusses the conceptual aspects of this proposal. We also undertake two other tasks. First, we explain how the proposed valuations (...)
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  23. Anatolij Dvurečenskij (2011). States on Pseudo Effect Algebras and Integrals. Foundations of Physics 41 (7):1143-1162.
    We show that every state on an interval pseudo effect algebra E satisfying an appropriate version of the Riesz Decomposition Property (RDP for short) is an integral through a regular Borel probability measure defined on the Borel σ-algebra of a Choquet simplex K. In particular, if E satisfies the strongest type of RDP, the representing Borel probability measure can be uniquely chosen to have its support in the set of the extreme points of K.
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  24. Anatolij Dvurečenskij, Tibor Neubrunn & Sylvia Pulmannová (1990). Finitely Additive States and Completeness of Inner Product Spaces. Foundations of Physics 20 (9):1091-1102.
    For any unit vector in an inner product space S, we define a mapping on the system of all ⊥-closed subspaces of S, F(S), whose restriction on the system of all splitting subspaces of S, E(S), is always a finitely additive state. We show that S is complete iff at least one such mapping is a finitely additive state on F(S). Moreover, we give a completeness criterion via the existence of a regular finitely additive state on appropriate systems of subspaces. (...)
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  25. James D. Edmonds Jr (1978). Nine-Vectors, Complex Octonion/Quaternion Hypercomplex Numbers, Lie Groups, and the 'Real' World. Foundations of Physics 8 (3-4):303-311.
    A “mental” multiplication scheme is given for the super hypercomplex numbers, which extend the 16-element Dirac algebra to 32 elements by appending the complex octonions. This extends the 5-vectors of relativity to 9-vectors. The problems with nonassociativity, for the group structures and wave equation covariance, are explored.
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  26. Robert G. Flower, Conference on the Foundations of Quantum Mechanics.
    Enormous and significant progress has been made in the important areas of entanglement, quantum computing and harnessing energy from the vacuum, which includes a sound theoretical basis, using the Einstein-Sachs theories to develop an anti-symmetric general relativity (AGR) approach to a higher topology O(3) electrodynamics. These developments also lead to the application of the Aharonov-Bohm effect and the Yang-Mills theory to the higher topology O(3) electrodynamics, as well as a deeper understanding and appreciation of these effects and their impact on (...)
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  27. D. J. Foulis (2000). MV and Heyting Effect Algebras. Foundations of Physics 30 (10):1687-1706.
    We review the fact that an MV-algebra is the same thing as a lattice-ordered effect algebra in which disjoint elements are orthogonal. An HMV-algebra is an MV-effect algebra that is also a Heyting algebra and in which the Heyting center and the effect-algebra center coincide. We show that every effect algebra with the generalized comparability property is an HMV-algebra. We prove that, for an MV-effect algebra E, the following conditions are mutually equivalent: (i) E is HMV, (ii) E has a (...)
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  28. Han J. F. Geurdes, Field Equations, Quantum Mechanics and Geotropism.
    The biochemistry of geotropism in plants and gravisensing in e.g. cyanobacteria or paramacia is still not well understood today. Perhaps there are more ways than one for organisms to sense gravity. The two best known relatively old explanations for gravity sensing are sensing through the redistribution of cellular starch statoliths and sensing through redistribution of auxin. The starch containing statoliths in a gravity field produce pressure on the endoplasmic reticulum of the cell. This enables the cell to sense direction. Alternatively, (...)
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  29. Peter G. Grove (2002). Can the Past Be Changed? Foundations of Physics 32 (4):567-587.
    The paper shows that the past, “history” in a non-technical sense, can be changed in quantum mechanics. The first part of the paper reviews Deutsch's analysis in his paper of 1991. It is demonstrated that Deutsch assumes the existence of a multiplicity of essentially classical worlds. Such a multiplicity of worlds would allow the past to be changed in classical mechanics. It is argued that the existence of multiple “classical” worlds is not required by quantum mechanics. It is then shown (...)
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  30. Katherine Hawley (1998). Indeterminism and Indeterminacy. Analysis 58 (2):101–106.
    1. E.J. Lowe claims that quantum physics provides examples of ontic indeterminacy, of vagueness in the world. Any such claim must confront the Evans-Salmon argument to the effect that the notion of ontic indeterminacy is simply incoherent (Evans 1978, Salmon 1981: 243-46). Lowe argues that a standard version of the Evans-Salmon argument fails quite generally (Lowe 1994). Harold Noonan (1995) has outlined a non-standard version of the argument, but Lowe argues that this non-standard version fails for specifically quantum mechanical (...)
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  31. Gerard ’T. Hooft (2013). Duality Between a Deterministic Cellular Automaton and a Bosonic Quantum Field Theory in 1+1 Dimensions. Foundations of Physics 43 (5):597-614.
    Methods developed in a previous paper are employed to define an exact correspondence between the states of a deterministic cellular automaton in 1+1 dimensions and those of a bosonic quantum field theory. The result may be used to argue that quantum field theories may be much closer related to deterministic automata than what is usually thought possible.
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  32. N. Huggett & J. Norton (2014). Weak Discernibility for Quanta, the Right Way. British Journal for the Philosophy of Science 65 (1):39-58.
    Muller and Saunders ([2008]) purport to demonstrate that, surprisingly, bosons and fermions are discernible; this article disputes their arguments, then derives a similar conclusion in a more satisfactory fashion. After briefly explicating their proof and indicating how it escapes earlier indiscernibility results, we note that the observables which Muller and Saunders argue discern particles are (i) non-symmetric in the case of bosons and (ii) trivial multiples of the identity in the case of fermions. Both problems undermine the claim that they (...)
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  33. Gregg Jaeger (ed.) (2011). Advances in Quantum Theory: Proceedings of the International Conference on Advances in Quantum Theory, Växjö, Sweden, 14-17 June 2010. [REVIEW] American Institute of Physics.
    Decoherence and entanglement : new concepts and perspectives -- Quantum-like models in cognitive science and economics -- Invited presentations -- Contributed presentations -- Post-conference papers.
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  34. Gregg Jaeger & Sahotra Sarkar (2003). Coherence, Entanglement, and Reductionist Explanation in Quantum Physics," . In A. Ashtekar et al (ed.), Revisiting the foundations of relativistic physics. 523--542.
    The scope and nature of reductionist explanation in quantum physics is analyzed, with special attention being paid to the situation in quantum physics.
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  35. Robert B. Mann & Eduardo Martín-Martínez (2014). Quantum Thermometry. Foundations of Physics 44 (5):492-511.
    We show how Berry phase can be used to construct a precision quantum thermometer. An important advantage of our scheme is that there is no need for the thermometer to acquire thermal equilibrium with the sample. This reduces measurement times and avoids precision limitations. We also discuss how such methods can be used to detect the Unruh effect.
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  36. Arthur Zajonc & Zara Houshmand (eds.) (2004). The New Physics and Cosmology: Dialogues with the Dalai Lama. OUP USA.
    What happens when the Dalai Lama meets with leading physicists and a historian? This book is the carefully edited record of the fascinating discussions at a Mind and Life conference in which five leading physicists and a historian (David Finkelstein, George Greenstein, Piet Hut, Arthur Zajonc, Anton Zeilinger, and Tu Weiming) discussed with the Dalai Lama current thought in theoretical quantum physics, in the context of Buddhist philosophy. A contribution to the science-religion interface, and a useful explanation of our basic (...)
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Quantum Determinism and Indeterminism
  1. J. E. Baggott (2011). The Quantum Story: A History in 40 Moments. Oxford University Press.
    Prologue: Stormclouds : London, April 1900 -- Quantum of action: The most strenuous work of my life : Berlin, December 1900 ; Annus Mirabilis : Bern, March 1905 ; A little bit of reality : Manchester, April 1913 ; la Comédie Française : Paris, September 1923 ; A strangely beautiful interior : Helgoland, June 1925 ; The self-rotating electron : Leiden, November 1925 ; A late erotic outburst : Swiss Alps, Christmas 1925 -- Quantum interpretation: Ghost field : Oxford, August (...)
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  2. J. E. Baggott (2004). Beyond Measure: Modern Physics, Philosophy, and the Meaning of Quantum Theory. Oxford University Press.
    Quantum theory is one the most important and successful theories of modern physical science. It has been estimated that its principles form the basis for about 30 per cent of the world's manufacturing economy. This is all the more remarkable because quantum theory is a theory that nobody understands. The meaning of Quantum Theory introduces science students to the theory's fundamental conceptual and philosophical problems, and the basis of its non-understandability. It does this with the barest minimum of jargon and (...)
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  3. Jeffrey A. Barrett (2001). The Strange World of Quantum Mechanics Daniel F. Styer. [REVIEW] British Journal for the Philosophy of Science 52 (2):393-396.
  4. Robert W. Batterman (1991). Chaos, Quantization, and the Correspondence Principle. Synthese 89 (2):189 - 227.
  5. J. S. Bell (2004). Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy. Cambridge University Press.
    This book comprises all of John Bell's published and unpublished papers in the field of quantum mechanics, including two papers that appeared after the first edition was published. It also contains a preface written for the first edition, and an introduction by Alain Aspect that puts into context Bell's great contribution to the quantum philosophy debate. One of the leading expositors and interpreters of modern quantum theory, John Bell played a major role in the development of our current understanding of (...)
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  6. Henry F. Birkenhauer (1939). Causality and Quantum Physics. Modern Schoolman 16 (2):35-37.
  7. Eftichios Bitsakis (1988). Quantum Statistical Determinism. Foundations of Physics 18 (3):331-355.
    This paper attempts to analyze the concept of quantum statistical determinism. This is done after we have clarified the epistemic difference between causality and determinism and discussed the content of classical forms of determinism—mechanical and dynamical. Quantum statistical determinism transcends the classical forms, for it expresses the multiple potentialities of quantum systems. The whole argument is consistent with a statistical interpretation of quantum mechanics.
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  8. D. I. Blokhint͡sev (1968). The Philosophy of Quantum Mechanics. New York, Humanities.
  9. Aage Bohr, Ben R. Mottelson & Ole Ulfbeck (2004). The Principle Underlying Quantum Mechanics. Foundations of Physics 34 (3):405-417.
  10. H. Brown (2007). A. Elitzur, S. Dolev and N. Kolenda, Editors, Quo Vadis Quantum Mechanics?, Springer, Berlin, Heidelberg, New York (2005) ISBN 3-540-22188-3 (61 Figs., 421pp., $ 59.95, Hardcover). [REVIEW] Studies in History and Philosophy of Science Part B 38 (4):979-982.
  11. Jeffrey Bub (1970). Book Review:The Philosophy of Quantum Mechanics D. I. Blokhintsev. [REVIEW] Philosophy of Science 37 (1):153-.
  12. Grzegorz Bugajak (2011). Causality and Determinism in Modern Physics. In Adam Świeżyński (ed.), Knowledge and Values, Wyd. UKSW, Warszawa. 73–94.
    The paper revisits the old controversy over causality and determinism and argues, in the first place, that non˗deterministic theories of modern science are largely irrelevant to the philosophical issue of the causality principle. As it seems to be the ‘moral’ of the uncertainty principle, the reason why a deterministic theory cannot be applied to the description of certain physical systems is that it is impossible to capture such properties of the system, which are required by a desired theory. These properties (...)
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  13. Ernst Cassirer (1956). Determinism and Indeterminism in Modern Physics. New Haven, Yale University Press.
  14. Eric Cator & Klaas Landsman (2014). Constraints on Determinism: Bell Versus Conway–Kochen. Foundations of Physics 44 (7):781-791.
    Bell’s Theorem from Physics 36:1–28 (1964) and the (Strong) Free Will Theorem of Conway and Kochen from Notices AMS 56:226–232 (2009) both exclude deterministic hidden variable theories (or, in modern parlance, ‘ontological models’) that are compatible with some small fragment of quantum mechanics, admit ‘free’ settings of the archetypal Alice and Bob experiment, and satisfy a locality condition akin to parameter independence. We clarify the relationship between these theorems by giving reformulations of both that exactly pinpoint their resemblance and their (...)
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