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Philosophic foundations of quantum mechanics

Mineola, N.Y.: Dover Publications (1944)

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  1. Rules of probability in quantum mechanics.Leon Cohen - 1988 - Foundations of Physics 18 (10):983-998.
    We show that the quantum mechanical rules for manipulating probabilities follow naturally from standard probability theory. We do this by generalizing a result of Khinchin regarding characteristic functions. From standard probability theory we obtain the methods usually associated with quantum theory; that is, the operator method, eigenvalues, the Born rule, and the fact that only the eigenvalues of the operator have nonzero probability. We discuss the general question as to why quantum mechanics seemingly necessitates different methods than standard probability theory (...)
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  • Some questions regarding the rationality of a demonstration of human rationality.Robert J. Sternberg - 1981 - Behavioral and Brain Sciences 4 (3):352-353.
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  • Reichenbach's concept of prediction.Wenceslao J. González - 1995 - International Studies in the Philosophy of Science 9 (1):37-58.
    Reichenbach emphasizes the central importance of prediction, which is—for him—the principal aim of science. This paper offers a critical reconstruction of his concept of prediction, taking into account the different periods of his thought. First, prediction is studied as a key factor in rejecting the positivism of the Vienna Circle. This part of the discussion concentres on the general features of prediction before Experience and Prediction (EP) (section 1). Second, prediction is considered in the context of Reichenbach's disagreements with his (...)
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  • What could be caused must actually be caused.Christopher Gregory Weaver - 2012 - Synthese 184 (3):299-317.
    I give two arguments for the claim that all events which occur at the actual world and are such that they could be caused, are also such that they must actually be caused. The first argument is an improvement of a similar argument advanced by Alexander Pruss, which I show to be invalid. It uses Pruss’s Brouwer Analog for counterfactual logic, and, as a consequence, implies inconsistency with Lewis’s semantics for counterfactuals. While (I suggest) this consequence may not be objectionable, (...)
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  • Kuhn’s Way.Joseph Agassi - 2002 - Philosophy of the Social Sciences 32 (3):394-430.
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  • The absolutist theory of omnipotence.Nick Trakakis - 1997 - Sophia 36 (2):55-78.
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  • (1 other version)Studies in the logic of explanation.Carl Gustav Hempel & Paul Oppenheim - 1948 - Philosophy of Science 15 (2):135-175.
    To explain the phenomena in the world of our experience, to answer the question “why?” rather than only the question “what?”, is one of the foremost objectives of all rational inquiry; and especially, scientific research in its various branches strives to go beyond a mere description of its subject matter by providing an explanation of the phenomena it investigates. While there is rather general agreement about this chief objective of science, there exists considerable difference of opinion as to the function (...)
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  • Can human irrationality be experimentally demonstrated?L. Jonathan Cohen - 1981 - Behavioral and Brain Sciences 4 (3):317-370.
    The object of this paper is to show why recent research in the psychology of deductive and probabilistic reasoning does not have.
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  • Rethinking Logic: An Empirical Perspective on its Origins and Limitations.Gabriel Merlo-Flores - manuscript
    This essay undertakes an examination of the foundational status of logic, rethinking its origins and limitations from an empirical perspective. Drawing upon the original concepts of Conceptual Quarks (CQs)—defined as the fundamental units of knowledge—and the Programmed Conceptual Deconstruction (PCD) algorithm, which I created for this study, I present methodologies to systematically analyze and deconstruct the principles of logic, exposing their empirical roots. Utilizing a custom-built artificial intelligence model, the study proposes that classical logical principles, such as identity and non-contradiction, (...)
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  • A Sound and Complete Tableaux Calculus for Reichenbach’s Quantum Mechanics Logic.Pablo Caballero & Pablo Valencia - 2024 - Journal of Philosophical Logic 53 (1):223-245.
    In 1944 Hans Reichenbach developed a three-valued propositional logic (RQML) in order to account for certain causal anomalies in quantum mechanics. In this logic, the truth-value _indeterminate_ is assigned to those statements describing physical phenomena that cannot be understood in causal terms. However, Reichenbach did not develop a deductive calculus for this logic. The aim of this paper is to develop such a calculus by means of First Degree Entailment logic (FDE) and to prove it sound and complete with respect (...)
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  • CRITIQUE OF IMPURE REASON: Horizons of Possibility and Meaning.Steven James Bartlett - 2021 - Salem, USA: Studies in Theory and Behavior.
    PLEASE NOTE: This is the corrected 2nd eBook edition, 2021. ●●●●● _Critique of Impure Reason_ has now also been published in a printed edition. To reduce the otherwise high price of this scholarly, technical book of nearly 900 pages and make it more widely available beyond university libraries to individual readers, the non-profit publisher and the author have agreed to issue the printed edition at cost. ●●●●● The printed edition was released on September 1, 2021 and is now available through (...)
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  • Nonlocal Quantum Information Transfer Without Superluminal Signalling and Communication.Jan Walleczek & Gerhard Grössing - 2016 - Foundations of Physics 46 (9):1208-1228.
    It is a frequent assumption that—via superluminal information transfers—superluminal signals capable of enabling communication are necessarily exchanged in any quantum theory that posits hidden superluminal influences. However, does the presence of hidden superluminal influences automatically imply superluminal signalling and communication? The non-signalling theorem mediates the apparent conflict between quantum mechanics and the theory of special relativity. However, as a ‘no-go’ theorem there exist two opposing interpretations of the non-signalling constraint: foundational and operational. Concerning Bell’s theorem, we argue that Bell employed (...)
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  • “Is” and “ought” in cognitive science.William G. Lycan - 1981 - Behavioral and Brain Sciences 4 (3):344-345.
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  • A critique of the disturbance theory of indeterminacy in quantum mechanics.Harvey R. Brown & Michael L. G. Redhead - 1981 - Foundations of Physics 11 (1-2):1-20.
    Heisenberg'sgendanken experiments in quantum mechanics have given rise to a widespread belief that the indeterminacy relations holding for the variables of a quantal system can be explained quasiclassically in terms of a disturbance suffered by the system in interaction with a quantal measurement, or state preparation, agent. There are a number of criticisms of this doctrine in the literature, which are critically examined in this article and found to be ininconclusive, the chief error being the conflation of this disturbance with (...)
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  • Who shall be the arbiter of our intuitions?Daniel Kahneman - 1981 - Behavioral and Brain Sciences 4 (3):339-340.
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  • Non-separability Does Not Relieve the Problem of Bell’s Theorem.Joe Henson - 2013 - Foundations of Physics 43 (8):1008-1038.
    This paper addresses arguments that “separability” is an assumption of Bell’s theorem, and that abandoning this assumption in our interpretation of quantum mechanics (a position sometimes referred to as “holism”) will allow us to restore a satisfying locality principle. Separability here means that all events associated to the union of some set of disjoint regions are combinations of events associated to each region taken separately.In this article, it is shown that: (a) localised events can be consistently defined without implying separability; (...)
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  • Quantum mechanics and classical probability theory.Joseph D. Sneed - 1970 - Synthese 21 (1):34 - 64.
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  • Realism Without Interphenomena: Reichenbach’s Cube, Sober’s Evidential Realism, and Quantum.Florian J. Boge - 2020 - International Studies in the Philosophy of Science 33 (4):231-246.
    In ‘Reichenbach's cubical universe and the problem of the external world’, Elliott Sober attempts a refutation of solipsism à la Reichenbach. I here contrast Sober's line of argument with observati...
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  • Propensity, evidence, and diagnosis.J. L. Mackie - 1981 - Behavioral and Brain Sciences 4 (3):345-346.
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  • On the Complementarity of the Quadrature Observables.Pekka Lahti & Juha-Pekka Pellonpää - 2010 - Foundations of Physics 40 (9-10):1419-1428.
    In this paper we investigate the coupling properties of pairs of quadrature observables, showing that, apart from the Weyl relation, they share the same coupling properties as the position-momentum pair. In particular, they are complementary. We determine the marginal observables of a covariant phase space observable with respect to an arbitrary rotated reference frame, and observe that these marginal observables are unsharp quadrature observables. The related distributions constitute the Radon transform of a phase space distribution of the covariant phase space (...)
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  • Status of the rationality assumption in psychology.Marvin S. Cohen - 1981 - Behavioral and Brain Sciences 4 (3):332-333.
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  • "Coordinative definition" and Reichenbach's semantic framework: A reassessment.Lionel Stefan Shapiro - 1994 - Erkenntnis 41 (3):287 - 323.
    Reichenbach's Philosophy of Space and Time (1928) avoids most of the logical positivist pitfalls it is generally held to exemplify, notably both conventionalism and verificationism. To see why, we must appreciate that Reichenbach's interest lies in how mathematical structures can be used to describe reality, not in how words like 'distance' acquire meaning. Examination of his proposed "coordinative definition" of congruence shows that Reichenbach advocates a reductionist analysis of the relations figuring in physical geometry (contrary to common readings that attribute (...)
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  • Why the principle of the identity of indiscernibles is not contingently true either.Steven French - 1989 - Synthese 78 (2):141 - 166.
    Faced with strong arguments to the effect that Leibniz''sPrinciple of the Identity of Indiscernibles (PII) is not a necessary truth, many supporters of the Principle have staged a strategic retreat to the claim that it is contingently true in this, the actual, world. The purpose of this paper is to examine the status of the various forms of PII in both classical and quantum physics, and it is concluded that this latter view is at best doubtful, at worst, simply wrong.
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  • Rational animal?Simon Blackburn - 1981 - Behavioral and Brain Sciences 4 (3):331-332.
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  • Another vote for rationality.Mary Henle - 1981 - Behavioral and Brain Sciences 4 (3):339-339.
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  • Unphilosophical probability.Sandy L. Zabell - 1981 - Behavioral and Brain Sciences 4 (3):358-359.
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  • Russell and his sources for non-classical logics.Irving H. Anellis - 2009 - Logica Universalis 3 (2):153-218.
    My purpose here is purely historical. It is not an attempt to resolve the question as to whether Russell did or did not countenance nonclassical logics, and if so, which nonclassical logics, and still less to demonstrate whether he himself contributed, in any manner, to the development of nonclassical logic. Rather, I want merely to explore and insofar as possible document, whether, and to what extent, if any, Russell interacted with the various, either the various candidates or their, ideas that (...)
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  • Report on recent developments in the philosophy of quantum mechanics.Henry Margenau & John Compton - 1949 - Synthese 8 (1):260 - 271.
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  • Probability and objectivity in deterministic and indeterministic situations.James H. Fetzer - 1983 - Synthese 57 (3):367--86.
    This paper pursues the question, To what extent does the propensity approach to probability contribute to plausible solutions to various anomalies which occur in quantum mechanics? The position I shall defend is that of the three interpretations — the frequency, the subjective, and the propensity — only the third accommodates the possibility, in principle, of providing a realistic interpretation of ontic indeterminism. If these considerations are correct, then they lend support to Popper's contention that the propensity construction tends to remove (...)
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  • Measurement as transcendental–empirical écart: Merleau-Ponty on deep temporality.David Morris - 2016 - Continental Philosophy Review 50 (1):49-64.
    Merleau-Ponty’s radical reflection conceptualizes the transcendental and the empirical as intertwined, emerging only via an écart. I advance this concept of transcendental empirical écart by studying the problem of measurement in science, in both general and quantum mechanical contexts. Section one analyses scientific problems of measurement, focusing on issues of temporality, to show how measurement entails a transcendental that diverges with the empirical. Section two briefly interprets this result via Merleau-Ponty’s concept of depth, to indicate how measurement reveals a temporality (...)
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  • Physics, inconsistency, and quasi-truth.Newton C. A. Da Costa & Décio Krause - 2014 - Synthese 191 (13):3041-3055.
    In this work, the first of a series, we study the nature of informal inconsistency in physics, focusing mainly on the foundations of quantum theory, and appealing to the concept of quasi-truth. We defend a pluralistic view of the philosophy of science, grounded on the existence of inconsistencies and on quasi-truth. Here, we treat only the ‘classical aspects’ of the subject, leaving for a forthcoming paper the ‘non-classical’ part.
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  • Can children's irrationality be experimentally demonstrated?Sam Glucksberg - 1981 - Behavioral and Brain Sciences 4 (3):337-338.
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  • Performing competently.Lola L. Lopes - 1981 - Behavioral and Brain Sciences 4 (3):343-344.
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  • L. J. Cohen versus Bayesianism.Ilkka Niiniluoto - 1981 - Behavioral and Brain Sciences 4 (3):349-349.
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  • O logicznym determinizmie.Zbigniew Jordan - 1963 - Studia Logica 14 (1):59 - 98.
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  • Inferential competence: right you are, if you think you are.Stephen P. Stich - 1981 - Behavioral and Brain Sciences 4 (3):353-354.
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  • Cohen on contraposition.N. E. Wetherick - 1981 - Behavioral and Brain Sciences 4 (3):358-358.
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  • Relative compatibility in conventional quantum mechanics.Gary M. Hardegree - 1977 - Foundations of Physics 7 (7-8):495-510.
    The notion of relative compability is introduced, according to which compatibility is construed as relative to individual quantum states. The compatibility domain of two observablesA, B is defined to be the set com(A, B) of states relative to whichA andB are compatible. Three basic categories of relative compatibility are then defined according to the character of com(A, B): absolute compatibility (ordinary compatibility), absolute incompatibility, and partial compatibility. Then com(A, B) is seen to be a subspace of Hilbert space invariant underA (...)
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  • The importance of cognitive illusions.Peter Wason - 1981 - Behavioral and Brain Sciences 4 (3):356-356.
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  • L'argument probabiliste pour une logique non classique de la mécanique quantique.Patrick Suppes - 1966 - Synthese 16 (1):74 - 85.
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  • How Reichenbach solved the quantum measurement problem.Thomas Bonk - 2001 - Dialectica 55 (4):291–314.
    Reichenbach's interpretation of quantum mechanics has been narrowly reduced to the advocacy of a three‐valued logic. His interpretation rests, though, on the same rich epistemological framework that shapes his influential analysis of space‐time theories. Different interpretations of the quantum formalism, with their conflicting ontologies and causes, emerge in this view as “equivalent descriptions”. One casualty of the conventionalist approach is the measurement problem. I give reasons for why Reichenbach's view on the nature of interpretations of quantum theory cannot be defended.
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  • On the Identification of the Parts of Compound Quantum Objects.Gregg Jaeger - 2014 - Foundations of Physics 44 (7):709-724.
    A view of the constitution of quantum objects as reducible, in the sense of being decomposable to elementary particles, is outlined. On this view, parts of composite quantum systems are considered to be identified according to a recently introduced, specifically quantum notion of individuation (Jaeger, Found Phys 40:1396 2010). These parts can typically also be considered particles according to Wigner’s symmetry-based notion. Particles are considered elementary when they satisfy a condition of elementarity, newly introduced here, that improves on that provided (...)
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  • Conditional probability, taxicabs, and martingales.Brian Skyrms - 1981 - Behavioral and Brain Sciences 4 (3):351-352.
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  • (1 other version)Complementarity in quantum mechanics: A logical analysis.Hugo Bedau & Paul Oppenheim - 1961 - Synthese 13 (3):201 - 232.
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  • The irrational, the unreasonable, and the wrong.Avishai Margalit & Maya Bar-Hillel - 1981 - Behavioral and Brain Sciences 4 (3):346-349.
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  • Lay arbitration of rules of inference.Richard E. Nisbett - 1981 - Behavioral and Brain Sciences 4 (3):349-350.
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  • Effects and Propositions.William Demopoulos - 2010 - Foundations of Physics 40 (4):368-389.
    The quantum logical and quantum information-theoretic traditions have exerted an especially powerful influence on Bub’s thinking about the conceptual foundations of quantum mechanics. This paper discusses both the quantum logical and information-theoretic traditions from the point of view of their representational frameworks. I argue that it is at this level—at the level of its framework—that the quantum logical tradition has retained its centrality to Bub’s thought. It is further argued that there is implicit in the quantum information-theoretic tradition a set (...)
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  • Interpreting Quantum Mechanics according to a Pragmatist Approach.Manuel Bächtold - 2008 - Foundations of Physics 38 (9):843-868.
    The aim of this paper is to show that quantum mechanics can be interpreted according to a pragmatist approach. The latter consists, first, in giving a pragmatic definition to each term used in microphysics, second, in making explicit the functions any theory must fulfil so as to ensure the success of the research activity in microphysics, and third, in showing that quantum mechanics is the only theory which fulfils exactly these functions.
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  • L. J. Cohen, again: On the evaluation of inductive intuitions.Amos Tversky - 1981 - Behavioral and Brain Sciences 4 (3):354-356.
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  • Putnam on realism, reference and truth: The problem with quantum mechanics.Christopher Norris - 2001 - International Studies in the Philosophy of Science 15 (1):65 – 91.
    In this essay, I offer a critical evaluation of Hilary Putnam's writings on epistemology and philosophy of science, in particular his engagement with interpretative problems in quantum mechanics. I trace the development of his thinking from the late 1960s when he adopted a strong causal-realist position on issues of meaning, reference, and truth, via the "internal realist" approach of his middle-period writings, to the various forms of pragmatist, naturalized, or "commonsense" epistemology proposed in his latest books. My contention is that (...)
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