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  1. The Quantum Bit Commitment Theorem.Jeffrey Bub - 2001 - Foundations of Physics 31 (5):735-756.
    Unconditionally secure two-party bit commitment based solely on the principles of quantum mechanics (without exploiting special relativistic signalling constraints, or principles of general relativity or thermodynamics) has been shown to be impossible, but the claim is repeatedly challenged. The quantum bit commitment theorem is reviewed here and the central conceptual point, that an “Einstein–Podolsky–Rosen” attack or cheating strategy can always be applied, is clarified. The question of whether following such a cheating strategy can ever be disadvantageous to the cheater is (...)
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  • Everettian Rationality: Defending Deutsch's Approach to Probability in the Everett Interpretation.David Wallace - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):415-439.
    An analysis is made of Deutsch's recent claim to have derived the Born rule from decision-theoretic assumptions. It is argued that Deutsch's proof must be understood in the explicit context of the Everett interpretation, and that in this context, it essentially succeeds. Some comments are made about the criticism of Deutsch's proof by Barnum, Caves, Finkelstein, Fuchs, and Schack; it is argued that the flaw which they point out in the proof does not apply if the Everett interpretation is assumed.
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  • Characterizing Quantum Theory in Terms of Information-Theoretic Constraints.Rob Clifton, Jeffrey Bub & Hans Halvorson - 2002 - Foundations of Physics 33 (11):1561-1591.
    We show that three fundamental information-theoretic constraints -- the impossibility of superluminal information transfer between two physical systems by performing measurements on one of them, the impossibility of broadcasting the information contained in an unknown physical state, and the impossibility of unconditionally secure bit commitment -- suffice to entail that the observables and state space of a physical theory are quantum-mechanical. We demonstrate the converse derivation in part, and consider the implications of alternative answers to a remaining open question about (...)
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  • Naturalism in Mathematics.Penelope Maddy - 1997 - Oxford University Press.
    Naturalism in Mathematics investigates how the most fundamental assumptions of mathematics can be justified. One prevalent philosophical approach to the problem--realism--is examined and rejected in favor of another approach--naturalism. Penelope Maddy defines this naturalism, explains the motivation for it, and shows how it can be successfully applied in set theory. Her clear, original treatment of this fundamental issue is informed by current work in both philosophy and mathematics, and will be accessible and enlightening to readers from both disciplines.
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  • A Note on Information Theoretic Characterizations of Physical Theories.Hans Halvorson - 2003 - Studies in History and Philosophy of Modern Physics 35 (2):277-293.
    Clifton, Bub, and Halvorson (CBH) have recently argued that quantum theory is characterized by its satisfaction of three fundamental information-theoretic constraints. However, it is not difficult to construct apparent counterexamples to the CBH characterization theorem. In this paper, we discuss the limits of the characterization theorem, and we provide some technical tools for checking whether a theory (specified in terms of the convex structure of its state space) falls within these limits.
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  • A Uniqueness Theorem for ‘No Collapse’ Interpretations of Quantum Mechanics.Jeffrey Bub & Rob Clifton - 1996 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 27 (2):181-219.
    We prove a uniqueness theorem showing that, subject to certain natural constraints, all 'no collapse' interpretations of quantum mechanics can be uniquely characterized and reduced to the choice of a particular preferred observable as determine (definite, sharp). We show how certain versions of the modal interpretation, Bohm's 'causal' interpretation, Bohr's complementarity interpretation, and the orthodox (Dirac-von Neumann) interpretation without the projection postulate can be recovered from the theorem. Bohr's complementarity and Einstein's realism appear as two quite different proposals for selecting (...)
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  • Unified Dynamics for Microscopic and Macroscopic Systems.GianCarlo Ghirardi, Alberto Rimini & Tullio Weber - 1986 - Physical Review D 34 (D):470–491.
  • Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?Albert Einstein, Boris Podolsky & Nathan Rosen - 1935 - Physical Review (47):777-780.
  • On the Einstein Podolsky Rosen Paradox.J. S. Bell - 2004 [1964] - In Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press. pp. 14--21.
  • Why Bohm's Theory Solves the Measurement Problem.Tim Maudlin - 1995 - Philosophy of Science 62 (3):479-483.
    Abraham Stone recently has published an argument purporting to show that David Bohm's interpretation of quantum mechanics fails to solve the measurement problem. Stone's analysis is not correct, as he has failed to take account of the conditions under which the theorems he cites are proven. An explicit presentation of a Bohmian measurement illustrates the flaw in his reasoning.
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  • Quantum Mechanics: An Empiricist View.Paul Teller & Bas C. van Fraassen - 1995 - Philosophical Review 104 (3):457.
  • Quantum Mechanics and Experience.David Albert - 1995 - British Journal for the Philosophy of Science 46 (2):253-260.
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  • Beables for Quantum Field Theory.J. S. Bell - 1987 - In Basil J. Hiley & D. Peat (eds.), Quantum Implications: Essays in Honour of David Bohm. Methuen. pp. 227--234.
  • Interpreting the Quantum World.Jeffrey Bub - 1998 - British Journal for the Philosophy of Science 49 (4):637-641.
  • ”Relative State' Formulation of Quantum Mechanics.Hugh Everett - 1957 - Reviews of Modern Physics 29:454--462.
  • The Problem of Hidden Variables in Quantum Mechanics.Simon Kochen & E. P. Specker - 1967 - Journal of Mathematics and Mechanics 17:59--87.
  • Mathematical Foundations of Quantum Mechanics.John von Neumann & R. T. Beyer - 1955 - British Journal for the Philosophy of Science 8 (32):343-347.
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  • Collapse Theories.Giancarlo Ghirardi - 2008 - Stanford Encyclopedia of Philosophy.
    Quantum mechanics, with its revolutionary implications, has posed innumerable problems to philosophers of science. In particular, it has suggested reconsidering basic concepts such as the existence of a world that is, at least to some extent, independent of the observer, the possibility of getting reliable and objective knowledge about it, and the possibility of taking (under appropriate circumstances) certain properties to be objectively possessed by physical systems. It has also raised many others questions which are well known to those involved (...)
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  • Bohmian Mechanics.Sheldon Goldstein - 2008 - Stanford Encyclopedia of Philosophy.
    Bohmian mechanics, which is also called the de Broglie-Bohm theory, the pilot-wave model, and the causal interpretation of quantum mechanics, is a version of quantum theory discovered by Louis de Broglie in 1927 and rediscovered by David Bohm in 1952. It is the simplest example of what is often called a hidden variables interpretation of quantum mechanics. In Bohmian mechanics a system of particles is described in part by its wave function, evolving, as usual, according to Schrödinger's equation. However, the (...)
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  • Against ”Measurement'.J. S. Bell - 2004 - In Speakable and Unspeakable in Quantum Mechanics. Cambridge University Press. pp. 213--231.