Results for 'Mikl��s Redei'

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  1. Decidability in the Constructive Theory of Reals as an Ordered?? Vectorspace.Mikl S. Erd lyi-Szab - 1997 - Mathematical Logic Quarterly 43 (3):343-354.
     
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  2.  48
    Reichenbach's Common Cause Principle and Quantum Field Theory.Miklós Rédei - 1997 - Foundations of Physics 27 (10):1309-1321.
    Reichenbach's principles of a probabilistic common cause of probabilistic correlations is formulated in terms of relativistic quantum field theory, and the problem is raised whether correlations in relativistic quantum field theory between events represented by projections in local observable algebrasA andA pertaining to spacelike separated spacetime regions V1 and V2 can be explained by finding a probabilistic common cause of the correlation in Reichenbach's sense. While this problem remains open, it is shown that if all superluminal correlations predicted by the (...)
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  3.  28
    Reichenbach’s Common Cause Principle and Quantum Correlations.Miklós Rédei - 2002 - In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer Academic Publishers. pp. 259--270.
    Reichenbach’s Common Cause Principle is the claim that if two events are correlated, then either there is a causal connection between the correlated events that is responsible for the correlation or there is a third event, a so called common cause, which brings about the correlation. The paper reviews some results concerning Reichenbach’s notion of common cause, results that are directly relevant to the problem of how one can falsify Reichenbach’s Common Cause Principle. Special emphasis will be put on the (...)
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  4.  42
    Hilbert's 6th Problem and Axiomatic Quantum Field Theory.Miklós Rédei - 2014 - Perspectives on Science 22 (1):80-97.
    This paper has two parts, a historical and a systematic. In the historical part it is argued that the two major axiomatic approaches to relativistic quantum field theory, the Wightman and Haag-Kastler axiomatizations, are realizations of the program of axiomatization of physical theories announced by Hilbert in his 6th of the 23 problems discussed in his famous 1900 Paris lecture on open problems in mathematics, if axiomatizing physical theories is interpreted in a soft and opportunistic sense suggested in 1927 by (...)
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  5.  84
    Defusing Bertrand’s Paradox.Zalán Gyenis & Miklós Rédei - 2015 - British Journal for the Philosophy of Science 66 (2):349-373.
    The classical interpretation of probability together with the principle of indifference is formulated in terms of probability measure spaces in which the probability is given by the Haar measure. A notion called labelling invariance is defined in the category of Haar probability spaces; it is shown that labelling invariance is violated, and Bertrand’s paradox is interpreted as the proof of violation of labelling invariance. It is shown that Bangu’s attempt to block the emergence of Bertrand’s paradox by requiring the re-labelling (...)
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  6. Bell's Inequalities, Relativistic Quantum Field Theory and the Problem of Hidden Variables.Miklos Redei - 1991 - Philosophy of Science 58 (4):628-638.
    Based partly on proving that algebraic relativistic quantum field theory (ARQFT) is a stochastic Einstein local (SEL) theory in the sense of SEL which was introduced by Hellman (1982b) and which is adapted in this paper to ARQFT, the recently proved maximal and typical violation of Bell's inequalities in ARQFT (Summers and Werner 1987a-c) is interpreted in this paper as showing that Bell's inequalities are, in a sense, irrelevant for the problem of Einstein local stochastic hidden variables, especially if this (...)
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  7.  36
    Von Neumann’s Concept of Quantum Logic and Quantum Probability.Miklós Rédei - 2001 - Vienna Circle Institute Yearbook 8:153-172.
    The idea of quantum logic first appears explicitly in the short Section 5 of Chapter III. in von Neumann’s 1932 book on the mathematical foundations of quantum mechanics [31]; however, the real birthplace of quantum logic is commonly identified with the 1936 seminal paper co-authored by G. Birkhoff and J. von Neumann [5]. The aim of this review is to recall the main idea of the Birkhoff-von Neumann concept1 of quantum logic as this was put forward in the 1936 paper. (...)
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  8.  70
    Einstein's Dissatisfaction with Nonrelativistic Quantum Mechanics and Relativistic Quantum Field Theory.Miklós Rédei - 2010 - Philosophy of Science 77 (5):1042-1057.
    It is argued that in his critique of standard nonrelativistic quantum mechanics Einstein formulated three requirements as necessary for a physical theory to be compatible with the field-theorectical paradigm, and it is shown that local, relativistic, algebraic quantum field theory typically satisfies those criteria-although, there are still open questions concerning the status of operational separability of quantum systems localized in space like separated space-time regions. It is concluded that local algebraic quantum field theory can be viewed as a research program (...)
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  9.  56
    Defusing Bertrand’s Paradox.Zalán Gyenis & Rédei Miklós - 2015 - British Journal for the Philosophy of Science 66 (2):349-373.
    The classical interpretation of probability together with the principle of indifference is formulated in terms of probability measure spaces in which the probability is given by the Haar measure. A notion called labelling invariance is defined in the category of Haar probability spaces; it is shown that labelling invariance is violated, and Bertrand’s paradox is interpreted as the proof of violation of labelling invariance. It is shown that Bangu’s attempt to block the emergence of Bertrand’s paradox by requiring the re-labelling (...)
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  10.  6
    Germaine de Staël’s Réflexions Sur le Procès de la Reine: An Act of Compassion?Anna Cabak Rédei - 2020 - Semiotica 2020 (232):41-52.
    In the foreword to the Mercure de France edition of de Staël., Chantal Thomas, French historian and writer, writes that this apology in favor of Marie-Antoinette did not help the queen nor the author herself; on the contrary it only made the latter more unpopular. So why did Germaine de Staël write it? Mme de Staël and Marie-Antoinette did not share many interests; however, at the moment of The Women’s March on Versailles in October 1789, the situation had changed. It (...)
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  11.  32
    Why Bertrand's Paradox is Not Paradoxical but is Felt So.Z. Gyenis & Miklós Rédei - unknown
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  12.  4
    The Modal Logic of Bayesian Belief Revision.William Brown, Zalán Gyenis & Miklós Rédei - 2019 - Journal of Philosophical Logic 48 (5):809-824.
    In Bayesian belief revision a Bayesian agent revises his prior belief by conditionalizing the prior on some evidence using Bayes’ rule. We define a hierarchy of modal logics that capture the logical features of Bayesian belief revision. Elements in the hierarchy are distinguished by the cardinality of the set of elementary propositions on which the agent’s prior is defined. Inclusions among the modal logics in the hierarchy are determined. By linking the modal logics in the hierarchy to the strongest modal (...)
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  13.  15
    On Reichenbach's Common Cause Principle and Reichenbach's Notion of Common Cause* G Pabor Hofer-Szab Po Department of Philosophy Technical University of Budapest.Mikl Pos R. Pedei & L. Paszl Po E. Szab Po - 1999 - British Journal for the Philosophy of Science 50:377-399.
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  14.  29
    Soft Axiomatisation: John von Neumann on Method and von Neumann's Method in the Physical Sciences.Miklós Rédei & Michael Stöltzner - 2006 - In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer. pp. 235--249.
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  15.  36
    'Unsolved Problems of Mathematics' J von Neumann's Address to the International Congress of Mathematicians, Amsterdam, September 2-9, 1954.Miklos Redei - 1999 - The Mathematical Intelligencer 21:7-12.
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  16.  55
    Changing the Subject: Redei on Causal Dependence and Screening Off in Relativistic Quantum Field Theory.Rob Clifton & Laura Ruetsche - 1999 - Philosophy of Science 66 (3):169.
    In a pair of articles (1996, 1997) and in his recent book (1998), Miklos Redei has taken enormous strides toward characterizing the conditions under which relativistic quantum field theory is a safe setting for the deployment of causal talk. Here, we challenge the adequacy of the accounts of causal dependence and screening off on which rests the relevance of Redei's theorems to the question of causal good behavior in the theory.
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  17.  68
    Local Primitive Causality and the Common Cause Principle in Quantum Field Theory.Miklos Redei & Stephen J. Summers - 2001 - Foundations of Physics 32 (3):335-355.
    If $\mathcal{A}$ (V) is a net of local von Neumann algebras satisfying standard axioms of algebraic relativistic quantum field theory and V 1 and V 2 are spacelike separated spacetime regions, then the system ( $\mathcal{A}$ (V 1 ), $\mathcal{A}$ (V 2 ), φ) is said to satisfy the Weak Reichenbach's Common Cause Principle iff for every pair of projections A∈ $\mathcal{A}$ (V 1 ), B∈ $\mathcal{A}$ (V 2 ) correlated in the normal state φ there exists a projection C (...)
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  18.  51
    The Modal Logic of Bayesian Belief Revision.Zalán Gyenis, Miklós Rédei & William Brown - 2019 - Journal of Philosophical Logic 48 (5):809-824.
    In Bayesian belief revision a Bayesian agent revises his prior belief by conditionalizing the prior on some evidence using Bayes’ rule. We define a hierarchy of modal logics that capture the logical features of Bayesian belief revision. Elements in the hierarchy are distinguished by the cardinality of the set of elementary propositions on which the agent’s prior is defined. Inclusions among the modal logics in the hierarchy are determined. By linking the modal logics in the hierarchy to the strongest modal (...)
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  19. Common‐Causes Are Not Common Common‐Causes.Gábor Hofer-Szabó, Miklos Redei & Laszlo E. Szabo - 2002 - Philosophy of Science 69 (4):623-636.
    A condition is formulated in terms of the probabilities of two pairs of correlated events in a classical probability space which is necessary for the two correlations to have a single (Reichenbachian) common-cause and it is shown that there exists pairs of correlated events probabilities of which violate the necessary condition. It is concluded that different correlations do not in general have a common common-cause. It is also shown that this conclusion remains valid even if one weakens slightly Reichenbach's definition (...)
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  20.  96
    Characterizing Common Cause Closed Probability Spaces.Zalán Gyenis & Miklós Rédei - 2011 - Philosophy of Science 78 (3):393-409.
    A classical probability measure space was defined in earlier papers \cite{Hofer-Redei-Szabo1999}, \cite{Gyenis-Redei2004} to be common cause closed if it contains a Reichenbachian common cause of every correlation in it, and common cause incomplete otherwise. It is shown that a classical probability measure space is common cause incomplete if and only if it contains more than one atom. Furthermore, it is shown that every probability space can be embedded into a common cause closed one; which entails that every classical probability (...)
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  21. Reichenbach’s Common Cause Principle and Quantum Correlations.Miklós Rédei - 2002 - In T. Placek & Jeremy Butterfield (eds.), Non-Locality and Modality: Proceedings of the Nato Advanced Research Workshop on Modality, Probability, and Bell's Theorems, Cra. pp. 259-270.
    Reichenbach’s Common Cause Principle is the claim that if two events are correlated, then either there is a causal connection between the correlated events that is responsible for the correlation or there is a third event, a so called common cause, which brings about the correlation. The paper reviews some results concerning Reichenbach’s notion of common cause, results that are directly relevant to the problem of how one can falsify Reichenbach’s Common Cause Principle. Special emphasis will be put on the (...)
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  22. Review of Rédei, Miklós & Werndl, Charlotte: On the History of the Isomorphism Problem of Dynamical Systems with Special Regard to von Neumann's Contribution. [REVIEW]Bernd Buldt - unknown
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  23. Krylov's Proof That Statistical Mechanics Cannot Be Founded on Classical Mechanics and Interpretation of Classical Statistical Mechanical Probabilities.Miklós Rédei - 1992 - Philosophia Naturalis 29 (2):268-284.
  24. Krylov's Proof That Statistical Mechanics Cannot Be Founded on Classical Mechan..Miklós Rédei - 1992 - Philosophia Naturalis 29:268-284.
  25. When Can Statistical Theories Be Causally Closed?Balazs Gyenis & Miklos Redei - 2002 - Foundations of Physics 34 (9):1285-1303.
    The notion of common cause closedness of a classical, Kolmogorovian probability space with respect to a causal independence relation between the random events is defined, and propositions are presented that characterize common cause closedness for specific probability spaces. It is proved in particular that no probability space with a finite number of random events can contain common causes of all the correlations it predicts; however, it is demonstrated that probability spaces even with a finite number of random events can be (...)
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  26. On Reichenbach's Common Cause Principle (Vol 50, Pg 388, 1999).G. Hofer-Szabo, M. Redei & L. E. Szabo - 1999 - British Journal for the Philosophy of Science 50 (4):791-791.
     
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  27.  85
    On the History of the Isomorphism Problem of Dynamical Systems with Special Regard to von Neumann’s Contribution.Miklos Redei & Charlotte Werndl - 2012 - Archive for History of Exact Sciences 66 (1):71-93.
    This paper reviews some major episodes in the history of the spatial isomorphism problem of dynamical systems theory. In particular, by analysing, both systematically and in historical context, a hitherto unpublished letter written in 1941 by John von Neumann to Stanislaw Ulam, this paper clarifies von Neumann's contribution to discovering the relationship between spatial isomorphism and spectral isomorphism. The main message of the paper is that von Neumann's argument described in his letter to Ulam is the very first proof that (...)
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  28.  69
    Are Prohibitions of Superluminal Causation by Stochastic Einstein Locality and by Absence of Lewisian Probabilistic Counterfactual Causality Equivalent?Miklos Redei - 1993 - Philosophy of Science 60 (4):608-618.
    Butterfield's (1992a,b,c) claim of the equivalence of absence of Lewisian probabilistic counterfactual causality (LC) to Hellman's stochastic Einstein locality (SEL) is questioned. Butterfield's assumption on which the proof of his claim is based would suffice to prove that SEL implies absence of LC also for appropriately given versions of these notions in algebraic quantum field theory, but the assumption is not an admissible one. The conclusion must be that the relation of SEL and absence of LC is open, and that (...)
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  29.  14
    Editors’ Notes.Miklós Rédei & Michael Stöltzner - 2001 - Vienna Circle Institute Yearbook 8 (4):221-224.
    The documents selected for publication in this book have never been published before. All are deposited in the von Neumann Archive of the Manuscript Division of the Library of Congress . The rich von Neumann Archive contains numerous documents that have never been published in any form. The documents included in this volume have been selected on the basis of their direct relevance to von Neumann’s work on the foundations of quantum physics, the main topic of this volume. Three kinds (...)
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  30.  14
    Introduction.Miklós Rédei & Michael Stöltzner - 2001 - Vienna Circle Institute Yearbook 8:1-4.
    John von Neumann was, undoubtedly, one of the true scientific geniuses of the 20th century. The main fields to which he contributed include different disciplines of pure and applied mathematics, mathematical and theoretical physics, logic, theoretical computer science and computer design. Von Neumann was also actively involved in politics, science management, served on a number of commissions and advisory committees and had a major impact on U.S. government decisions during, and especially after, the Second World War.
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  31.  21
    Mathematical Physics and Philosophy of Physics.Miklós Rédei - 2002 - Vienna Circle Institute Yearbook 9:239-243.
    The main claim of this talk is that mathematical physics and philosophy of physics are not different. This claim, so formulated, is obviously false because it is overstated; however, since no non-tautological statement is likely to be completely true, it is a meaningful question whether the overstated claim expresses some truth. I hope it does, or so I’ll argue. The argument consists of two parts: First I’ll recall some characteristic features of von Neumann’s work on mathematical foundations of quantum mechanics (...)
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  32.  11
    Mathematical Physics and Philosophy of Physics.Miklós Rédei - 2002 - In Michael Heidelberger & Friedrich Stadler (eds.), History of Philosophy of Science: New Trends and Perspectives. Vienna Circle Institute yearbook (9). Springer. pp. 239-243.
    The main claim of this talk is that mathematical physics and philosophy of physics are not different. This claim, so formulated, is obviously false because it is overstated; however, since no non-tautological statement is likely to be completely true, it is a meaningful question whether the overstated claim expresses some truth. I hope it does, or so I’ll argue. The argument consists of two parts: First I’ll recall some characteristic features of von Neumann’s work on mathematical foundations of quantum mechanics (...)
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  33.  1
    Mathematical Physics and Philosophy of Physics.Miklós Rédei - 2002 - In Michael Heidelberger & Friedrich Stadler (eds.), History of Philosophy of Science: New Trends and Perspectives. pp. 239-243.
    The main claim of this talk is that mathematical physics and philosophy of physics are not different. This claim, so formulated, is obviously false because it is overstated; however, since no non-tautological statement is likely to be completely true, it is a meaningful question whether the overstated claim expresses some truth. I hope it does, or so I’ll argue. The argument consists of two parts: First I’ll recall some characteristic features of von Neumann’s work on mathematical foundations of quantum mechanics (...)
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  34.  4
    The Maxim of Probabilism, with special regard to Reichenbach.Miklós Rédei & Zalán Gyenis - forthcoming - Synthese:1-18.
    It is shown that by realizing the isomorphism features of the frequency and geometric interpretations of probability, Reichenbach comes very close to the idea of identifying mathematical probability theory with measure theory in his 1949 work on foundations of probability. Some general features of Reichenbach’s axiomatization of probability theory are pointed out as likely obstacles that prevented him making this conceptual move. The role of isomorphisms of Kolmogorovian probability measure spaces is specified in what we call the “Maxim of Probabilism”, (...)
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  35.  57
    Founded on Classical Mechanics and Interpretation of Classical Staistical Mechanical Probabilities.Miklos Redei - unknown
    The problem of relation between statistical mechanics (SM) and classical mechanics (CM), especially the question whether SM can be founded on CM, has been a subject of controversies since the rise of classical statistical mechanics (CSM) at the end of 19th century. The first views rejecting explicitly the possibility of laying the foundations of CSM in CM were triggered by the "Wiederkehr-" and "Umkehreinwand" arguments. These arguments played an important role in the debate about Boltzmann's original H-theorem and led to (...)
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  36.  37
    On the Formal Consistency of the Principal Principle.Gergei Bana - 2016 - Philosophy of Science 83 (5):988-1001.
    Rédei and Gyenis suggest that Lewis’s Principal Principle is meaningful only if it satisfies certain consistency conditions: starting from any assignment of subjective probabilities to some algebra of events, we should always be able to extend our algebra with events of the form “the value of the objective probability of event E is p” and assign subjective probabilities to such events in a consistent manner. We show that this extension is indeed possible in most cases. However, we also argue that (...)
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  37.  22
    Reichenbachian Common Cause Systems Revisited.Claudio Mazzola - 2012 - Foundations of Physics 42 (4):512-523.
    According to Reichenbach’s principle of common cause, positive statistical correlations for which no straightforward causal explanation is available should be explained by invoking the action of a hidden conjunctive common cause. Hofer-Szabó and Rédei’s notion of a Reichenbachian common cause system is meant to generalize Reichenbach’s conjunctive fork model to fit those cases in which two or more common causes cooperate in order to produce a positive statistical correlation. Such a generalization is proved to be unsatisfactory in the light of (...)
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  38. Epsilon-Ergodicity and the Success of Equilibrium Statistical Mechanics.Peter B. M. Vranas - 1998 - Philosophy of Science 65 (4):688-708.
    Why does classical equilibrium statistical mechanics work? Malament and Zabell (1980) noticed that, for ergodic dynamical systems, the unique absolutely continuous invariant probability measure is the microcanonical. Earman and Rédei (1996) replied that systems of interest are very probably not ergodic, so that absolutely continuous invariant probability measures very distant from the microcanonical exist. In response I define the generalized properties of epsilon-ergodicity and epsilon-continuity, I review computational evidence indicating that systems of interest are epsilon-ergodic, I adapt Malament and Zabell’s (...)
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  39.  20
    Explaining Correlations by Partitions.Chrysovalantis Stergiou - 2015 - Foundations of Physics 45 (12):1599-1612.
    In this paper two accounts of Reichenbachian common cause systems are compared. Examples are provided which show that Hofer-Szabó and Rédei account and Hofer-Szabó et al. account is compatible, with but not equivalent, to Mazzola’s. Moreover, the difference of the two accounts with respect to their explanatory adequacy is discussed, in the light of Salmon’s statistical-relevance approach to statistical explanation.
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  40.  33
    A New Notion of Causal Closedness.Leszek Wroński & Michał Marczyk - 2014 - Erkenntnis 79 (S3):1-26.
    In recent years part of the literature on probabilistic causality concerned notions stemming from Reichenbach’s idea of explaining correlations between not directly causally related events by referring to their common causes. A few related notions have been introduced, e.g. that of a “common cause system” (Hofer-Szabó and Rédei in Int J Theor Phys 43(7/8):1819–1826, 2004) and “causal (N-)closedness” of probability spaces (Gyenis and Rédei in Found Phys 34(9):1284–1303, 2004; Hofer-Szabó and Rédei in Found Phys 36(5):745–756, 2006). In this paper we (...)
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  41.  37
    Is Algebraic Lorentz-Covariant Quantum Field Theory Stochastic Einstein Local?F. A. Muller & Jeremy Butterfield - 1994 - Philosophy of Science 61 (3):457-474.
    The general context of this paper is the locality problem in quantum theory. In a recent issue of this journal, Redei (1991) offered a proof of the proposition that algebraic Lorentz-covariant quantum field theory is past stochastic Einstein local. We show that Redei's proof is either spurious or circular, and that it contains two deductive fallacies. Furthermore, we prove that the mentioned theory meets the stronger condition of stochastic Haag locality.
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  42. The Limits of Common Cause Approach to EPR Correlation.Katsuaki Higashi - 2008 - Foundations of Physics 38 (7):591-609.
    It is often argued that no local common cause models of EPR correlation exist. However, Szabó and Rédei pointed out that such arguments have the tacit assumption that plural correlations have the same common causes. Furthermore, Szabó showed that for EPR correlation a local common cause model in his sense exists. One of his requirements is that common cause events are statistically independent of apparatus settings on each side. However, as Szabó knows, to meet this requirement does not entail that (...)
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  43.  9
    Construing Scandinavia: A Semiotic Account of Intercultural Exchange in Theme Park Design.Gunnar Sandin - 2020 - Semiotica 2020 (232):79-102.
    Evaluation of other cultures is a strong force in a culture’s definition of itself. Cultures are formed in encounters that include domination, conflict, and dismissal as much as appreciation and smooth exchange. In this paper, the construction of cultural identity is discussed, with reference to a Scandinavian Theme Park proposal made in cooperation between American design consultants and a local Swedish team of planners and visionaries. The image production in this design proposal, which never came to be realised in architectural (...)
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  44.  37
    The Birth of Quantum Logic.Miklós Rédei - 2007 - History and Philosophy of Logic 28 (2):107-122.
    By quoting extensively from unpublished letters written by John von Neumann to Garret Birkhoff during the preparatory phase (in 1935) of their ground-breaking 1936 paper that established quantum logic, the main steps in the thought process leading to the 1936 Birkhoff?von Neumann paper are reconstructed. The reconstruction makes it clear why Birkhoff and von Neumann rejected the notion of quantum logic as the projection lattice of an infinite dimensional complex Hilbert space and why they postulated in their 1936 paper that (...)
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  45. Why Ergodic Theory Does Not Explain the Success of Equilibrium Statistical Mechanics.John Earman & Miklós Rédei - 1996 - British Journal for the Philosophy of Science 47 (1):63-78.
    We argue that, contrary to some analyses in the philosophy of science literature, ergodic theory falls short in explaining the success of classical equilibrium statistical mechanics. Our claim is based on the observations that dynamical systems for which statistical mechanics works are most likely not ergodic, and that ergodicity is both too strong and too weak a condition for the required explanation: one needs only ergodic-like behaviour for the finite set of observables that matter, but the behaviour must ensure that (...)
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  46. Characterizing Common Cause Closedness of Quantum Probability Theories.Yuichiro Kitajima & Miklós Rédei - 2015 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 52 (B):234-241.
    We prove new results on common cause closedness of quantum probability spaces, where by a quantum probability space is meant the projection lattice of a non-commutative von Neumann algebra together with a countably additive probability measure on the lattice. Common cause closedness is the feature that for every correlation between a pair of commuting projections there exists in the lattice a third projection commuting with both of the correlated projections and which is a Reichenbachian common cause of the correlation. The (...)
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  47.  10
    The Principle of the Common Cause.Miklós Redei, Gabor Hofer-Szabo & Laszlo Szabo - 2013 - Cambridge, U.K: Cambridge University Press.
    The common cause principle says that every correlation is either due to a direct causal effect linking the correlated entities or is brought about by a third factor, a so-called common cause. The principle is of central importance in the philosophy of science, especially in causal explanation, causal modeling and in the foundations of quantum physics. Written for philosophers of science, physicists and statisticians, this book contributes to the debate over the validity of the common cause principle, by proving results (...)
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  48. Aristotle's Metaphysics.S. Marc Cohen - 2016 - Stanford Encyclopedia of Philosophy.
    The first major work in the history of philosophy to bear the title "Metaphysics" was the treatise by Aristotle that we have come to know by that name. But Aristotle himself did not use that title or even describe his field of study as 'metaphysics'; the name was evidently coined by the first century C.E. editor who assembled the treatise we know as Aristotle's Metaphysics out of various smaller selections of Aristotle's works. The title 'metaphysics' -- literally, 'after the Physics' (...)
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  49.  50
    Godel's Proof.S. R. Peterson - 1961 - Philosophical Quarterly 11 (45):379.
    In 1931 the mathematical logician Kurt Godel published a revolutionary paper that challenged certain basic assumptions underpinning mathematics and logic. A colleague of Albert Einstein, his theorem proved that mathematics was partly based on propositions not provable within the mathematical system and had radical implications that have echoed throughout many fields. A gripping combination of science and accessibility, Godel’s Proof by Nagel and Newman is for both mathematicians and the idly curious, offering those with a taste for logic and philosophy (...)
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  50.  91
    Quantum Probability Theory.Miklós Rédei & Stephen Jeffrey Summers - 2007 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 38 (2):390-417.
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