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  1. Deanna Abernethy & John R. Klauder (2005). The Distance Between Classical and Quantum Systems. Foundations of Physics 35 (5):881-895.
    In a recent paper, a “distance” function, $\cal D$ , was defined which measures the distance between pure classical and quantum systems. In this work, we present a new definition of a “distance”, D, which measures the distance between either pure or impure classical and quantum states. We also compare the new distance formula with the previous formula, when the latter is applicable. To illustrate these distances, we have used 2 × 2 matrix examples and two-dimensional vectors for simplicity and (...)
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  2. Luigi Accardi (1990). Quantum Probability and the Foundations of Quantum Theory. In Roger Cooke & Domenico Costantini (eds.), Boston Studies in the Philosophy of Science vol. 122: Statistics in Science. Springer Netherlands. 119-147.
    The point of view advocated, in the last ten years, by quantum probability about the foundations of quantum mechanics, is based on the investigation of the mathematical consequences of a deep and elementary idea developed by the founding fathers of quantum mechanics and accepted nowadays as a truism by most physicists, namely: one should be careful when applying the rules derived from the experience of macroscopic physics to experiments which are mutually incompatible in the sense of quantum mechanics.
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  3. Ernest W. Adams (1994). On the Method of Superposition. British Journal for the Philosophy of Science 45 (2):693-708.
  4. M. Adelman, J. V. Corbett & C. A. Hurst (1993). The Geometry of State Space. Foundations of Physics 23 (2):211-223.
    The geometry of the state space of a finite-dimensional quantum mechanical system, with particular reference to four dimensions, is studied. Many novel features, not evident in the two-dimensional space of a single spin, are found. Although the state space is a convex set, it is not a ball, and its boundary contains mixed states in addition to the pure states, which form a low-dimensional submanifold. The appropriate language to describe the role of the observer is that of flag manifolds.
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  5. Guillaume Adenier (ed.) (2007). Quantum Theory, Reconsideration of Foundations 4: Växjö (Sweden), 11-16 June, 2007. American Institute of Physics.
    This conference was devoted to the 80 years of the Copenhagen Interpretation, and to the question of the relevance of the Copenhagen interpretation for the present understanding of quantum mechanics. It is in this framework that fundamental questions raised by quantum mechanics, especially in information theory, were discussed throughout the conference. As has become customary in our series of conference in Växjö, we were glad to welcome a fruitful assembly of theoretical physicists, experimentalists, mathematicians and even philosophers interested in the (...)
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  6. G. Adomian (1987). A New Approach to the Efinger Model for a Nonlinear Quantum Theory for Gravitating Particles. Foundations of Physics 17 (4):419-423.
    A general solution is obtained for a model of a nonlinear quantum theory for gravitating particles proposed by H. Efinger. The solution procedure is easily generalized to space-time or stochastic formulations.
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  7. G. Adomian & R. Rach (1991). Linear and Nonlinear Schrödinger Equations. Foundations of Physics 21 (8):983-991.
    The Schrödinger equation for a point particle in a quartic potential and a nonlinear Schrödinger equation are solved by the decomposition method yielding convergent series for the solutions which converge quite rapidly in physical problems involving bounded inputs and analytic functions. Several examples are given to demonstrate use of the method.
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  8. Diederik Aerts (2000). Editorial: Quantum, Mimesis and the Social Sciences. [REVIEW] Foundations of Science 5 (1):1-2.
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  9. Horst Aichmann & Günter Nimtz (2014). On the Traversal Time of Barriers. Foundations of Physics 44 (6):678-688.
    Fifty years ago Hartman studied the barrier transmission time of wave packets (J Appl Phys 33:3427–3433, 1962). He was inspired by the tunneling experiments across thin insulating layers at that time. For opaque barriers he calculated faster than light propagation and a transmission time independent of barrier length, which is called the Hartman effect. A faster than light (FTL or superluminal) wave packet velocity was deduced in analog tunneling experiments with microwaves and with infrared light thirty years later. Recently, the (...)
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  10. S. M. Anlage (2000). Book Review: Quantum Chaos-An Introduction. [REVIEW] Foundations of Physics 30 (7):1135-1138.
  11. Rollin S. Armour Jr (2004). Spin-1/2 Maxwell Fields. Foundations of Physics 34 (5):815-842.
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  12. J. C. Aron (1979). A Stochastic Basis for Microphysics. Foundations of Physics 9 (3-4):163-191.
    The guiding idea of this work is that classical diffusion theory, being nonrelativistic, should be associated with nonrelativistic quantum mechanics. A study of classical diffusion leads to a generalization which should correspond to the relativistic domain. Actually, with a convenient choice of the basic constants, one sees the relativistic features (Lorentz contraction and covariant diffusion equation) emerge in the generalized process. This leads first to a derivation of the nonrelativistic and relativistic wave equations (and to a model of the Dirac (...)
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  13. Marcus Arvan (2014). A Unified Explanation of Quantum Phenomena? The Case for the Peer‐to‐Peer Simulation Hypothesis as an Interdisciplinary Research Program. Philosophical Forum 45 (4):433-446.
    In my 2013 article, “A New Theory of Free Will”, I argued that several serious hypotheses in philosophy and modern physics jointly entail that our reality is structurally identical to a peer-to-peer (P2P) networked computer simulation. The present paper outlines how quantum phenomena emerge naturally from the computational structure of a P2P simulation. §1 explains the P2P Hypothesis. §2 then sketches how the structure of any P2P simulation realizes quantum superposition and wave-function collapse (§2.1.), quantum indeterminacy (§2.2.), wave-particle duality (§2.3.), (...)
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  14. R. M. Asherova, J. P. Draayer, Yu I. Kharitonov & Yu F. Smirnov (1997). The Biedenharn-Louck-Hecht Resolution of the Outer Multiplicity Problem for theU(3) andU Q (3) Groups. Foundations of Physics 27 (7):1035-1046.
    The solution of the outer multiplicity problem in the tensor product of U(3) irreducible representations (irreps) developed by Biedenharn et al.(1–7) and realized through the well-known Draayer-Akiyama (DA) computer code(8) is extended to the quantum algebra Uq(3). An analytic formula for special stretched Uq(3) Wigner coefficients, $$\left\langle {(\lambda _1 \mu _1 ) H_1 , (\lambda _2 \mu _2 ) \varepsilon _2 \Lambda _2 m_2 \left| { (\lambda _3 \mu _3 ) H_3 } \right.} \right\rangle _{\max }^q $$ is derived using (...)
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  15. Alain Aspect & Robin Kaiser (1990). Linear Momentum Conservation in Coherent Population Trapping: A Case Study for a Quantum Filtering Process. [REVIEW] Foundations of Physics 20 (12):1413-1428.
    We discuss the question of linear momentum conservation when an atom coupled to a laser field enters into a state which is not an eigenstate of the linear momentum. Such a situation happens in the recently demonstrated laser cooling of atoms by velocity selective coherent population trapping. We show that this process can be understood as a filtering of the atomic state by the laser field taken as a classical measuring apparatus. In a different approach, the laser field can be (...)
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  16. Y. Avishai & H. Ekstein (1972). Causal Independence. Foundations of Physics 2 (4):257-270.
    Causal independence of the simultaneous positions and momenta of two distinguishable particles in nonrelativistic physics and causal independence of events in two relatively spacelike regions of space-time in relativity are analyzed and discussed. This review paper formulates causal independence in a general and operational way and summarizes the inferences drawn from it in non-relativistic quantum mechanics, classical relativistic point mechanics, quantum field theory, and classical field theory. Special attention is given to the open question of the relationship between local independence (...)
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  17. V. Bach, J. Fröhlich & I. M. Sigal (1997). Mathematical Theory of Radiation. Foundations of Physics 27 (2):227-237.
    In this paper we present an informal review of our recent work whose goal is to develop a mathematical theory of the physical phenomenon of emission and absorption of radiation by systems of nonrelativistic matter such as atoms and molecules.
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  18. D. Baeriswyl (2000). Variational Scheme for the Mott Transition. Foundations of Physics 30 (12):2033-2048.
    The Hubbard model is studied at half filling, using two complementary variational wave functions, the Gutzwiller ansatz for the metallic phase at small values of the interaction parameter U and its analog for the insulating phase at large values of U. The metallic phase is characterized by the Drude weight, which exhibits a jump at the critical point Uc. In the insulating phase the system behaves as a collection of dipoles which increase both in number and in size as U (...)
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  19. Francis Bailly, Françoise Gaill & Rémy Mosseri (1993). Orgons Andbiolons in Theoretical Biology: Phenomenological Analysis and Quantum Analogies. Acta Biotheoretica 41 (1-2).
    In this paper we define two types of formal biological entities corresponding to biological levels of organization, thebiolons and theorgons, the properties of which are phenomenologically analyzed and discussed.We examine then, in a rather speculative manner, how some characteristics of these entities may suggest analogies between properties of biological systems and some special features of quantum systems.
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  20. M. Banai (1985). Quantization of Space-Time and the Corresponding Quantum Mechanics. Foundations of Physics 15 (12):1203-1245.
    An axiomatic framework for describing general space-time models is presented. Space-time models to which irreducible propositional systems belong as causal logics are quantum (q) theoretically interpretable and their event spaces are Hilbert spaces. Such aq space-time is proposed via a “canonical” quantization. As a basic assumption, the time t and the radial coordinate r of aq particle satisfy the canonical commutation relation [t,r]=±i $h =$ . The two cases will be considered simultaneously. In that case the event space is the (...)
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  21. William Band & James L. Park (1971). A General Method of Empirical State Determination in Quantum Physics: Part II. [REVIEW] Foundations of Physics 1 (4):339-357.
    Here, we offer concrete illustrations of the state determination method developed abstractly in Part I of this work. Quorums are found for finite-dimensional magnetic multipole problems as well as for the harmonic oscillator with an energy cutoff. There is, in addition, a discussion of general procedures for empirically distinguishing pure states from mixed states.
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  22. A. Barchielli, L. Lanz & G. M. Prosperi (1983). Statistics of Continuous Trajectories in Quantum Mechanics: Operation-Valued Stochastic Processes. [REVIEW] Foundations of Physics 13 (8):779-812.
    A formalism developed in previous papers for the description of continual observations of some quantities in the framework of quantum mechanics is reobtained and generalized, starting from a more axiomatic point of view. The statistics of the observations of continuous state trajectories is treated from the beginning as a generalized stochastic process in the sense of Gel'fand. An effect-valued measure and an operation-valued measure on the σ-algebra generated by the cylinder sets in the space of trajectories are introduced. The properties (...)
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  23. 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.
  24. L. Bass (1977). Biological Replication by Quantum Mechanical Interactions. Foundations of Physics 7 (3-4):221-231.
    Wigner's quantum mechanical formulation of the problem of biological replication is examined with special reference to DNA. His necessary condition for replication is that the number of independent equations in his formulation should not exceed the number of unknowns. Explicit hypotheses concerning the relevant collision matrix are proposed without assuming biotonic modifications of quantum mechanics. Schrödinger's description of the gene as a low-temperature solid, combined with the concept of template, is given mathematical expression which fails to satisfy Wigner's necessary condition. (...)
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  25. Gordon Belot & John Earman (1997). Chaos Out of Order: Quantum Mechanics, the Correspondence Principle and Chaos. Studies in History and Philosophy of Science Part B 28 (2):147-182.
  26. Gordon Belot & Lina Jansson (2010). Alisa Bokulich, Reexamining the Quantum-Classical Relation: Beyond Reductionism and Pluralism , Cambridge University Press, Cambridge (2008) ISBN 978-0-521-85720-8 Pp. X+195. [REVIEW] Studies in History and Philosophy of Science Part B 41 (1):81-83.
  27. Darrin W. Belousek (2005). Underdetermination, Realism, and Theory Appraisal: An Epistemological Reflection on Quantum Mechanics. [REVIEW] Foundations of Physics 35 (4):669-695.
    This paper examines the epistemological significance of the present situation of underdetermination in quantum mechanics. After analyzing this underdetermination at three levels---formal, ontological, and methodological---the paper considers implications for a number of variants of the thesis of scientific realism in fundamental physics and reassesses Lakatos‘ characterization of progress in physical theory in light of the present situation. Next, this paper considers the implications of underdetermination for Weinberg’s ‘‘dream of a final theory.’’ Finally, the paper concludes by suggesting how one might (...)
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  28. Hans Van Den Berg, Dick Hoekzema & Hans Radder (1990). Accardi on Quantum Theory and the "Fifth Axiom" of Probability. Philosophy of Science 57 (1):149 - 157.
    In this paper we investigate Accardi's claim that the "quantum paradoxes" have their roots in probability theory and that, in particular, they can be evaded by giving up Bayes' rule, concerning the relation between composite and conditional probabilities. We reach the conclusion that, although it may be possible to give up Bayes' rule and define conditional probabilities differently, this contributes nothing to solving the philosophical problems which surround quantum mechanics.
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  29. K.-F. Berggren & T. Ouchterlony (2001). Chaos in a Quantum Dot with Spin-Orbit Coupling. Foundations of Physics 31 (2):233-242.
    Level statistics and nodal point distribution in a rectangular semiconductor quantum dot are studied for different degrees of spin-orbit coupling. The chaotic features occurring from the spin-orbit coupling have no classical counterpart. Using experimental values for GaSb/InAs/GaSb semiconductor quantum wells we find that level repulsion can lead to the semi-Poisson distribution for nearest level separations. Nodal lines and nodal points are also investigated. Comparison is made with nodal point distributions for fully chaotic states.
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  30. William Berkson (1974). Fields of Force. New York,Wiley.
    This book tells how a series of very remarkable men tried to get a better understanding of the world. These men are Michael Faraday and those he influenced: ...
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  31. Michael Berry (2001). Knotted Zeros in the Quantum States of Hydrogen. Foundations of Physics 31 (4):659-667.
    Complex superpositions of degenerate hydrogen wavefunctions for the n th energy level can possess zero lines (phase singularities) in the form of knots and links. A recipe is given for constructing any torus knot. The simplest cases are constructed explicitly: the elementary link, requiring n≥6, and the trefoil knot, requiring n≥7. The knots are threaded by multistranded twisted chains of zeros. Some speculations about knots in general complex quantum energy eigenfunctions are presented.
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  32. Michel Bitbol (2011). The Quantum Structure of Knowledge. Axiomathes 21 (2):357-371.
    This paper analyzes how conflicts of perspective are resolved in the field of the human sciences. Examples of such conflicts are the duality between the actor and spectator standpoints, or the duality of participancy between a form of social life and a socio-anthropological study of it. This type of duality look irreducible, because the conflicting positions express incompatible interests. Yet, the claim of incommensurability is excessive. There exists a level of mental activity at which dialogue and resolution are possible. Reaching (...)
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  33. R. Blümel, P. M. Koch & L. Sirko (2001). Ray-Splitting Billiards. Foundations of Physics 31 (2):269-281.
    Ray splitting is a universal phenomenon that occurs with appreciable amplitude in all wave systems when the properties of the system change on a scale smaller than the wave length. We study the quantum implications of ray splitting theoretically and experimentally with the help of ray-splitting billiards in one and two dimensions. We show that Gutzwiller's trace formula works even in the context of ray-splitting systems provided reflection and transmission of waves at ray-splitting boundaries is properly included.
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  34. Vittore Boccardi (1983). Quantum spiritaliter intelligi datur L'esegesi di Zenone di Verona. Augustinianum 23 (3):453-485.
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  35. O. Bohigas, P. Lebœuf & M. J. Sánchez (2001). Spectral Spacing Correlations for Chaotic and Disordered Systems. Foundations of Physics 31 (3):489-517.
    New aspects of spectral fluctuations of (quantum) chaotic and diffusive systems are considered, namely autocorrelations of the spacing between consecutive levels or spacing autocovariances. They can be viewed as a discretized two point correlation function. Their behavior results from two different contributions. One corresponds to (universal) random matrix eigenvalue fluctuations, the other to diffusive or chaotic characteristics of the corresponding classical motion. A closed formula expressing spacing autocovariances in terms of classical dynamical zeta functions, including the Perron–Frobenius operator, is derived. (...)
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  36. Niels Bohr (1913). On the Constitution of Atoms and Molecules, Part I. Philosophical Magazine 26:1--25.
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  37. Niels Bohr (1913). On the Constitution of Atoms and Molecules, Part II, Systems Containing Only a Single Nucleus. Philosophical Magazine 26:476--502.
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  38. Niels Bohr (1913). On the Constitution of Atoms and Molecules, Part III, Systems Containing Several Nuclei. Philosophical Magazine 26:857--875.
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  39. Alisa Bokulich (2003). Quantum Measurements and Supertasks. International Studies in the Philosophy of Science 17 (2):127 – 136.
    This article addresses the question whether supertasks are possible within the context of non-relativistic quantum mechanics. The supertask under consideration consists of performing an infinite number of quantum mechanical measurements in a finite amount of time. Recent arguments in the physics literature claim to show that continuous measurements, understood as N discrete measurements in the limit where N goes to infinity, are impossible. I show that there are certain kinds of measurements in quantum mechanics for which these arguments break down. (...)
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  40. Giovanni Boniolo & Francesco Gonella (1991). Quantum Mechanics and Imagery: A Hermeneutical Approach. [REVIEW] Foundations of Physics 21 (7):845-854.
    Classical and quantum descriptions are given of a double slit experiment, showing the conditions under which certain counter-intuitive conceptualizations can arise. The role played by our images of the objects and our images of the experience's results is discussed by means of a hermeneutical analysis.
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  41. Thomas Bonk (1997). Newtonian Gravity, Quantum Discontinuity and the Determination of Theory by Evidence. Synthese 112 (1):53-73.
    A closer examination of scientific practice has cast doubt recently on the thesis that observation necessarily fails to determine theory. In some cases scientists derive fundamental hypotheses from phenomena and general background knowledge by means of demonstrative induction. This note argues that it is wrong to interpret such an argument as providing inductive support for the conclusion, e.g. by eliminating rival hypotheses. The examination of the deduction of the inverse square law of gravitation due to J. Bertrand, and R. Fowler's (...)
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  42. Thomas Boyer, Coexistence of Several Interpretations of Quantum Mechanics and the Fruitfulness of Scientific Works.
    The coexistence of several interpretations of one theory is considered through the example of non-relativistic quantum mechanics. The problem considered is whether physicists manage to work properly in spite of the several interpretations. The criterion adopted is the possibility of re-using others' works for another research: this is called "fruitfulness of works". It is argued that such a fruitfulness is possible between works made in different quantum interpretations.
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  43. Harvey R. Brown & Christopher G. Timpson, Why Special Relativity Should Not Be a Template for a Fundamental Reformulation of Quantum Mechanics.
    In a comparison of the principles of special relativity and of quantum mechanics, the former theory is marked by its relative economy and apparent explanatory simplicity. A number of theorists have thus been led to search for a small number of postulates - essentially information theoretic in nature - that would play the role in quantum mechanics that the relativity principle and the light postulate jointly play in Einstein's 1905 special relativity theory. The purpose of the present paper is to (...)
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  44. A. A. Broyles (1984). Quantum Mechanics of Seeing. Foundations of Physics 14 (6):553-560.
    A human being viewing a defocused television tube with sweep voltages turned off will see point scintillations at sufficiently low intensities. We show that quantum mechanics predicts these scintillations. Furthermore, by assuming a response of the human nervous system of a type not inconsistent with experiment, measurement theory is used to show that these scintillations will be distributed in proportion to the magnitude squared of the electron wave function incident upon the television tube screen. This nervous system response is to (...)
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  45. Jeffrey Bub (1973). Under the Spell of Bohr. [REVIEW] British Journal for the Philosophy of Science 24 (1):78-90.
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  46. Jeffrey Bub (1970). Book Review:Quantum Physics and the Philosophical Tradition Aage Petersen. [REVIEW] Philosophy of Science 37 (1):156-.
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  47. Jeffrey Bub & William Demopoulos (1976). Paradigms and Paradoxes: The Philosophical Challenge of the Quantum Domain. Philosophia 6 (2):333-344.
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  48. Agung Budiyono (2010). On Quantum-Classical Transition of a Single Particle. Foundations of Physics 40 (8):1117-1133.
    We discuss the issue of quantum-classical transition in a system of a single particle with and without external potential. This is done by elaborating the notion of self-trapped wave function recently developed by the author. For a free particle, we show that there is a subset of self-trapped wave functions which is particle-like. Namely, the spatially localized wave packet is moving uniformly with undistorted shape as if the whole wave packet is indeed a classical free particle. The length of the (...)
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  49. Otávio Bueno (2003). Is It Possible to Nominalize Quantum Mechanics? Philosophy of Science 70 (5):1424-1436.
    Hartry Field (1980) has developed an interesting nominalization strategy for Newtonian gravitation theory—a strategy that reformulates the theory without quantification over abstract entities. According to David Malament (1982), Field's strategy cannot be extended to quantum mechanics (QM), and so it only has a limited scope. In a recent work, Mark Balaguer has responded to Malament's challenge by indicating how QM can be nominalized, and by “doing much of the work needed to provide the nominalization” (Balaguer 1998, 114). In this paper, (...)
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  50. Otavio Bueno, Weyl and Von Neumann: Symmetry, Group Theory, and Quantum Mechanics.
    In this paper, I shall discuss the heuristic role of symmetry in the mathematical formulation of quantum mechanics. I shall first set out the scene in terms of Bas van Fraassen’s elegant presentation of how symmetry principles can be used as problem-solving devices (see van Fraassen [1989] and [1991]). I will then examine in what ways Hermann Weyl and John von Neumann have used symmetry principles in their work as a crucial problem-solving tool. Finally, I shall explore one consequence of (...)
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