Results for 'foundations of quantum mechanics'

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  1.  12
    The Foundations of Quantum Mechanics and the Evolution of the Cartan-Kähler Calculus.Jose G. Vargas - 2008 - Foundations of Physics 38 (7):610-647.
    In 1960–1962, E. Kähler enriched É. Cartan’s exterior calculus, making it suitable for quantum mechanics (QM) and not only classical physics. His “Kähler-Dirac” (KD) equation reproduces the fine structure of the hydrogen atom. Its positron solutions correspond to the same sign of the energy as electrons.The Cartan-Kähler view of some basic concepts of differential geometry is presented, as it explains why the components of Kähler’s tensor-valued differential forms have three series of indices. We demonstrate the power of his (...)
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  2. Review Of: Christopher G. Timpson, Quantum Information Theory and the Foundations of Quantum Mechanics[REVIEW]Michael E. Cuffaro - 2014 - Philosophy of Science 81 (4):681-684,.
  3.  82
    Foundations of Quantum Mechanics: The Connection Between QM and the Central Limit Theorem. [REVIEW]L. S. F. Olavo - 2004 - Foundations of Physics 34 (6):891-935.
    In this paper we unravel the connection between the quantum mechanical formalism and the Central limit theorem (CLT). We proceed to connect the results coming from this theorem with the derivations of the Schrödinger equation from the Liouville equation, presented by ourselves in other papers. In those papers we had used the concept of an infinitesimal parameter δx that raised some controversy. The status of this infinitesimal parameter is then elucidated in the framework of the CLT. Finally, we use (...)
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  4.  29
    The Role of Bounded Memory in the Foundations of Quantum Mechanics.Adán Cabello - 2012 - Foundations of Physics 42 (1):68-79.
    If quantum mechanics is correct and there is a finite upper bound for the speed of causal influences (e.g., the speed of light), then quantum mechanics is complete (i.e., it does not admit a more detailed description in terms of hidden variables). Here I show that the conclusion holds if we replace the assumption of bounded velocity by the assumption that there is a finite upper bound to the memory a finite physical system can store (e.g., (...)
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  5.  7
    Foundations of Mind IV: Quantum Mechanics Meets Neurodynamics.Sean O. Nuallain - 2017 - Cosmos and History 13 (2):1-5.
    This is a description of the aims, agenda and organization of a conference, organized by Foundations of Mind and hosted by the CIIS Centre for Consciousness Studies that took place on 31st January, 2017. Teh proceedings of this conference are published in this special edition. The topic was 'Quantum Mechanics Meets Neurodynamics: An Emerging 21st Century Science of Consciousness'. This the fourth Foundations fo Mind conference. The proceedings of the other three conferences have also been published (...)
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  6.  38
    Quantum Information Theory and the Foundations of Quantum Mechanics.Christopher Gordon Timpson - 2013 - Oxford University Press.
    Christopher G. Timpson provides the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. He argues for an ontologically deflationary account of the nature of quantum information, which is grounded in a revisionary analysis of the concepts of information.
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  7. Q-Spaces and the Foundations of Quantum Mechanics.Graciela Domenech, Federico Holik & Décio Krause - 2008 - Foundations of Physics 38 (11):969-994.
    Our aim in this paper is to take quite seriously Heinz Post’s claim that the non-individuality and the indiscernibility of quantum objects should be introduced right at the start, and not made a posteriori by introducing symmetry conditions. Using a different mathematical framework, namely, quasi-set theory, we avoid working within a label-tensor-product-vector-space-formalism, to use Redhead and Teller’s words, and get a more intuitive way of dealing with the formalism of quantum mechanics, although the underlying logic should be (...)
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  8. Axiomatic Foundations of Quantum Mechanics Revisited: The Case for Systems.S. E. Perez-Bergliaffa, Gustavo E. Romero & H. Vucetich - 1996 - International Journal of Theoretical Phyisics 35:1805-1819.
    We present an axiomatization of non-relativistic Quantum Mechanics for a system with an arbitrary number of components. The interpretation of our system of axioms is realistic and objective. The EPR paradox and its relation with realism is discussed in this framework. It is shown that there is no contradiction between realism and recent experimental results.
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  9. The Foundations of Quantum Mechanics and the Approach to Thermodynamic Equilibrium.David Z. Albert - 1994 - British Journal for the Philosophy of Science 45 (2):669-677.
    It is argued that certain recent advances in the construction of a theory of the collapses of Quantum Mechanical wave functions suggest the possibility of new and improved foundations for statistical mechanics, foundations in which epistemic considerations play no role.
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  10. Quantum Information Theory & the Foundations of Quantum Mechanics.Christopher Gordon Timpson - 2004 - Oxford University Press.
    Quantum Information Theory and the Foundations of Quantum Mechanics is a conceptual analysis of one of the most prominent and exciting new areas of physics, providing the first full-length philosophical treatment of quantum information theory and the questions it raises for our understanding of the quantum world. -/- Beginning from a careful, revisionary, analysis of the concepts of information in the everyday and classical information-theory settings, Christopher G. Timpson argues for an ontologically deflationary account (...)
  11.  5
    The Foundations of Quantum Mechanics, Historical Analysis and Open Questions - Cesena 2004: Cesena, Italy, 4-9 Ocober 2004. [REVIEW]Claudio Garola, Arcangelo Rossi & Sandro Sozzo (eds.) - 2006 - World Scientific.
    This volume provides a unique overview of recent Italian studies on the foundations of quantum mechanics and related historical, philosophical and epistemological topics.
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  12. Implications of Quantum Theory in the Foundations of Statistical Mechanics.David Wallace - manuscript
    An investigation is made into how the foundations of statistical mechanics are affected once we treat classical mechanics as an approximation to quantum mechanics in certain domains rather than as a theory in its own right; this is necessary if we are to understand statistical-mechanical systems in our own world. Relevant structural and dynamical differences are identified between classical and quantum mechanics (partly through analysis of technical work on quantum chaos by other (...)
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  13.  79
    Axiomatic Foundations of Non-Relativistic Quantum Mechanics: A Realistic Approach.S. E. Perez Bergliaffa, Gustavo E. Romero & H. Vucetich - 1993 - International Journal of Theoretical Physics 32 (9):1507-1522.
    A realistic axiomatic formulation of nonrelativistic quantum mechanics for a single microsystem with spin is presented, from which the most important theorems of the theory can be deduced. In comparison with previous formulations, the formal aspect has been improved by the use of certain mathematical theories, such as the theory of equipped spaces, and group theory. The standard formalism is naturally obtained from the latter, starting from a central primitive concept: the Galilei group.
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  14.  17
    Statistical VS Wave Realism in the Foundations of Quantum Mechanics.Claudio Calosi, Vincenzo Fano, Pierluigi Graziani & Gino Tarozzi - unknown
    Different realistic attitudes towards wavefunctions and quantum states are as old as quantum theory itself. Recently Pusey, Barret and Rudolph on the one hand, and Auletta and Tarozzi on the other, have proposed new interesting arguments in favor of a broad realistic interpretation of quantum mechanics that can be considered the modern heir to some views held by the fathers of quantum theory. In this paper we give a new and detailed presentation of such arguments, (...)
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  15.  5
    Foundations of Relational Realism: A Topological Approach to Quantum Mechanics and the Philosophy of Nature.Michael Epperson & Elias Zafiris - 2013 - Lexington Books.
    Foundations of Relational Realism presents an intuitive interpretation of quantum mechanics, based on a revised decoherent histories interpretation, structured within a category theoretic topological formalism. -/- If there is a central conceptual framework that has reliably borne the weight of modern physics as it ascends into the twenty-first century, it is the framework of quantum mechanics. Because of its enduring stability in experimental application, physics has today reached heights that not only inspire wonder, but arguably (...)
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  16.  15
    Epistemic Horizons and the Foundations of Quantum Mechanics.Jochen Szangolies - 2018 - Foundations of Physics 48 (12):1669-1697.
    In-principle restrictions on the amount of information that can be gathered about a system have been proposed as a foundational principle in several recent reconstructions of the formalism of quantum mechanics. However, it seems unclear precisely why one should be thus restricted. We investigate the notion of paradoxical self-reference as a possible origin of such epistemic horizons by means of a fixed-point theorem in Cartesian closed categories due to Lawvere that illuminates and unifies the different perspectives on self-reference.
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  17.  58
    Philosophic Foundations of Quantum Mechanics.Hans Reichenbach - 1944 - Dover Publications.
    Written by an internationally renowned philosopher, this volume offers a three-part philosophical interpretation of quantum physics. The first part reviews the basics of quantum mechanics, outlining their philosophical interpretation and summarizing their results; the second outlines the mathematical methods of quantum mechanics; and the third section blends the philosophical ideas of the first part and the mathematical formulations of the second part to develop a variety of interpretations of quantum mechanics. 1944 edition.
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  18.  86
    Superstrings and the Foundations of Quantum Mechanics.Gerard ’T. Hooft - 2014 - Foundations of Physics 44 (5):463-471.
    It is put forward that modern elementary particle physics cannot be completely unified with the laws of gravity and general relativity without addressing the question of the ontological interpretation of quantum mechanics itself. The position of superstring theory in this general question is emphasized: superstrings may well form exactly the right mathematical system that can explain how quantum mechanics can be linked to a deterministic picture of our world. Deterministic interpretations of quantum mechanics are (...)
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  19.  18
    The Foundations of Quantum Mechanics.P. J. Bussey - 1988 - Foundations of Physics 18 (5):491-528.
    Starting from a set of assumptions mainly of an “operational” or experimentally based nature, a derivation of quantum mechanics is presented, with the aim of clarifying the essential features of the theory and their interpretation. Various properties of quantum mechanics such as the addition of amplitudes, the calculation of probabilities, de Broglie's equations, and energy-momentum conservation are derived from first principles. It is investigated whether quantum amplitudes may be constructed from quantities of higher order than (...)
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  20.  15
    Foundations of Quantum Mechanics: On Rotations by 4pi for Half-Integral Spin Particles.L. S. F. Olavo - 2015 - Foundations of Physics 45 (11):1483-1494.
    Rotations in Quantum Mechanics are a very well-known subject. When one is faced with rotations related to the SO group, for instance, all the underlying operators are well-known and built from their classical counterparts. However, when it comes to represent rotations related to the SU group, it is always argued that there is no classical counterpart from which the expressions for the quantum mechanical operators can be built. The approach is always done using matrix representation. In the (...)
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  21.  13
    Communication Complexity as a Principle of Quantum Mechanics.Adán Cabello - 2006 - Foundations of Physics 36 (4):512-525.
    We introduce a two-party communication complexity problem in which the probability of success by using a particular strategy allows the parties to detect with certainty whether or not some forbidden communication has taken place. We show that theprobability of success is bounded by nature; any conceivable method which gives a probability of success outside these bounds is impossible. Moreover, any conceivable method to solve the problem which gives a probability success within these bounds is possible in nature. This example suggests (...)
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  22.  29
    Quantum Mechanics as an Emergent Property of Ergodic Systems Embedded in the Zero-Point Radiation Field.L. de la Peña, A. Valdés-Hernández & A. M. Cetto - 2009 - Foundations of Physics 39 (11):1240-1272.
    The present paper reveals (non-relativistic) quantum mechanics as an emergent property of otherwise classical ergodic systems embedded in a stochastic vacuum or zero-point radiation field (zpf). This result provides a theoretical basis for understanding recent numerical experiments in which a statistical analysis of an atomic electron interacting with the zpf furnishes the quantum distribution for the ground state of the H atom. The action of the zpf on matter is essential within the present approach, but it is (...)
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  23. The Foundations of Quantum Mechanics in the Philosophy of Nature.Grete Hermann & Dirk Lumma - 1999 - The Harvard Review of Philosophy 7 (1):35-44.
    The following article by Grete Hermann arguably occupies an important place in the history of the philosophical interpretation of of quantum mechanics. The purpose of Hermann's writing on natural philosophy is to examine the revision of the law of causality which quantum mechanics seems to require at a fundamental level of theoretical description in physics. It is Hermann's declared intention to show that quantum mechanics does not disprove the concept of causality, "yet has clarified (...)
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  24.  19
    Time and the Foundations of Quantum Mechanics.Thomas Pashby - unknown
    Quantum mechanics has provided philosophers of science with many counterintuitive insights and interpretive puzzles, but little has been written about the role that time plays in the theory. One reason for this is the celebrated argument of Wolfgang Pauli against the inclusion of time as an observable of the theory, which has been seen as a demonstration that time may only enter the theory as a classical parameter. Against this orthodoxy I argue that there are good reasons to (...)
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  25.  53
    Practical Implementation of a Test of Event-Based Corpuscular Model as an Alternative to Quantum Mechanics.Sergey V. Polyakov, Fabrizio Piacentini, Paolo Traina, Ivo P. Degiovanni, Alan Migdall, Giorgio Brida & Marco Genovese - 2013 - Foundations of Physics 43 (8):913-922.
    We describe in detail the first experimental test that distinguishes between an event-based corpuscular model of the interaction of photons with matter and quantum mechanics. The test looks at the interference that results as a single photon passes through a Mach-Zehnder interferometer. The experimental results, obtained with a low-noise single-photon source, agree with the predictions of standard quantum mechanics.
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  26.  21
    The Tausk Controversy on the Foundations of Quantum Mechanics: Physics, Philosophy, and Politics.Osvaldo Pessoa Jr, Olival Freire Jr & Alexis de Greiff - unknown
    In 1966 the Brazilian physicist Klaus Tausk (b. 1927) circulated a preprint from the International Centre for Theoretical Physics in Trieste, Italy, criticizing Adriana Daneri, Angelo Loinger, and Giovanni Maria Prosperi`s theory of 1962 on the measurement problem in quantum mechanics. A heated controversy ensued between two opposing camps within the orthodox interpretation of quantum theory, represented by Leon Rosenfeld and Eugene P. Wigner. The controversy went well beyond the strictly scientific issues, however, reflecting philosophical and political (...)
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  27.  13
    Constructivism and Operationalism in the Foundations of Quantum Mechanics.G. Cattaneo, M. L. Dalla Chiara & R. Giuntini - 1995 - Vienna Circle Institute Yearbook 3:21-31.
    The debate about constructivism in physics has led to different kinds of questions that can be conventionally framed in two classes. One concerns the mathematics that is considered for the theoretical development of physics. The other is concerned with the experimental parts of physical theories. It is unnecessary to observe that the intersection between our two classes of problems is far from being empty. In this paper we will mainly deal with topics belonging to the second class. However, let us (...)
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  28.  34
    Logical Foundations for Modal Interpretations of Quantum Mechanics.Michael Dickson - 1996 - Philosophy of Science 63 (3):329.
    This paper proposes a logic, motivated by modal interpretations, in which every quantum mechanics propositions has a truth-value. This logic is completely classical, hence violates the conditions of the Kochen-Specker theorem. It is shown how the violation occurs, and it is argued that this violation is a natural and acceptable consequence of modal interpretations. It is shown that despite its classicality, the proposed logic is empirically indistinguishable from quantum logic.
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  29.  2
    Logical Foundations for Modal Interpretations of Quantum Mechanics.Michael Dickson - 1996 - Philosophy of Science 63 (5):S322-S329.
    This paper proposes a logic, motivated by modal interpretations, in which every quantum mechanics propositions has a truth-value. This logic is completely classical, hence violates the conditions of the Kochen-Specker theorem. It is shown how the violation occurs, and it is argued that this violation is a natural and acceptable consequence of modal interpretations. It is shown that despite its classicality, the proposed logic is empirically indistinguishable from quantum logic.
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  30.  63
    The Foundations of Probability and Quantum Mechanics.Peter Milne - 1993 - Journal of Philosophical Logic 22 (2):129 - 168.
    Taking as starting point two familiar interpretations of probability, we develop these in a perhaps unfamiliar way to arrive ultimately at an improbable claim concerning the proper axiomatization of probability theory: the domain of definition of a point-valued probability distribution is an orthomodular partially ordered set. Similar claims have been made in the light of quantum mechanics but here the motivation is intrinsically probabilistic. This being so the main task is to investigate what light, if any, this sheds (...)
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  31. A Phenomenological Solution to the Measurement Problem? Husserl and the Foundations of Quantum Mechanics.Steven French - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 33 (3):467-491.
    The London and Bauer monograph occupies a central place in the debate concerning the quantum measurement problem. Gavroglu has previously noted the influence of Husserlian phenomenology on London's scientific work. However, he has not explored the full extent of this influence in the monograph itself. I begin this paper by outlining the important role played by the monograph in the debate. In effect, it acted as a kind of 'lens' through which the standard, or Copenhagen, 'solution' to the measurement (...)
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  32.  30
    A Constructive Approach to the Foundations of Quantum Mechanics.Hans Kummer - 1987 - Foundations of Physics 17 (1):1-62.
    An axiomatic theory is formulated which describes a class of “yes-no” experiments, involving a fixed basic source, a fixed basic detector, and various filters. It is assumed that all filters considered can be constructed from a setP of primitive filters by composition and stochastic selection. Two physically plausible axioms are formulated which allow us to define the concept of asystem in the present context (cf. Definition2.4). To each system we can attach anorder unit module ( $^\circ \hat V, ^\circ \hat (...)
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  33.  45
    Epistemological and Mathematical Foundations of Quantum Mechanics.Jerzy Rayski - 1977 - Foundations of Physics 7 (3-4):151-164.
    The concepts of measurement and measurable quantity are discussed. A probabilistic interpretation independent of the arrow of time is recommended and a definition of quantizable physical systems is given. The space of states of information about the physical system is Schwarz space rather than Hilbert space.
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  34. Book Review: Foundations of Quantum Mechanics, an Empiricist Approach. By Willem M. De Muynck. Kluwer Academic Publishers, Dordrecht/Boston/London, 2002, Xxiv+680 Pp., $219.00 (Hardcover). ISBN 1-4020-0932-1. [REVIEW]Dennis Dieks - 2003 - Foundations of Physics 33 (6):1003-1006.
  35.  18
    Reflections on Zeilinger–Brukner Information Interpretation of Quantum Mechanics.Andrei Khrennikov - 2016 - Foundations of Physics 46 (7):836-844.
    In this short review I present my personal reflections on Zeilinger–Brukner information interpretation of quantum mechanics.In general, this interpretation is very attractive for me. However, its rigid coupling to the notion of irreducible quantum randomness is a very complicated issue which I plan to address in more detail. This note may be useful for general public interested in quantum foundations, especially because I try to analyze essentials of the information interpretation critically. This review is written (...)
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  36. Conference on the Foundations of Quantum Mechanics.Robert G. Flower - unknown
    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 (...)
     
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  37. 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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  38. Conceptual Foundations of Quantum Mechanics.Bernard D' Espagnat - 1971 - Addison-Wesley, Advanced Book Program.
  39.  33
    The World According to Quantum Mechanics (Or the 18 Errors of Henry P. Stapp).Ulrich Mohrhoff - 2002 - Foundations of Physics 32 (2):217-254.
    Several errors in Stapp's interpretation of quantum mechanics and its application to mental causation (Henry P. Stapp, “Quantum theory and the role of mind in nature,” Foundations of Physics 31, 1465–1499 (2001)) are pointed out. An interpretation of (standard) quantum mechanics that avoids these errors is presented.
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  40.  39
    Book Review: Foundations and Interpretation of Quantum Mechanics. By Gennaro Auletta. World Scientific, Singapore, 2000, Xxxii + 981 Pp., $168,00 (Hardcover). ISBN 981-02-4039-2. [REVIEW]Gianluca Introzzi - 2002 - Foundations of Physics 32 (10):1635-1637.
  41. Metaphysical Problems in the Foundations of Quantum Mechanics.Abner Shimony - 1978 - International Philosophical Quarterly 18 (1):3-17.
  42. Philosophic Foundations of Quantum Mechanics.H. Reichenbach - 1967 - British Journal for the Philosophy of Science 17 (4):326-328.
     
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  43.  94
    Studies in the Foundations of Quantum Mechanics[REVIEW]Allen Stairs - 1982 - Philosophy of Science 49 (3):481-.
  44.  46
    Quantum Information Theory and the Foundations of Quantum Mechanics.Laura Felline - 2014 - International Studies in the Philosophy of Science 28 (3):349-352.
  45.  7
    Philosophic Foundations of Quantum Mechanics.Hans Reichenbach - 1945 - Journal of Philosophy 42 (16):437-444.
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  46.  8
    The Uncertainty Principle and Foundations of Quantum Mechanics: A Fifty Years' Survey.W. Price & S. Chissick - 1979 - Philosophy of Science 46 (2):336-338.
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  47.  20
    Philosophic Foundations of Quantum Mechanics[REVIEW]Ernest Nagel - 1945 - Journal of Philosophy 42 (16):437-444.
  48.  6
    Reviews. Hans Reichenbach. Philosophic Foundations of Quantum Mechanics. University of California Press, Berkeley and Los Angeles 1944, X + 182 Pp. [REVIEW]Carl G. Hempel - 1945 - Journal of Symbolic Logic 10 (3):97-100.
  49.  3
    Philosophic Foundations of Quantum Mechanics.Hans Reichenbach - 1945 - Journal of Symbolic Logic 10 (3):97-100.
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  50.  6
    Studies in the Foundations of Quantum Mechanics.Patrick Suppes - 1982 - Philosophy of Science 49 (3):481-484.
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