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  1. John Earman & Miklos Redei, Center for Philosophy of Science.
    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 behavior for the finite set of observables that matter, but the behavior must ensure that the approach to equilibrium for these obsersvables is on the appropriate..
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  2. Miklos Redei, Founded on Classical Mechanics and Interpretation of Classical Staistical Mechanical Probabilities.
    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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  3. Miklós Rédei, A Categorial Approach to Relativistic Locality.
    Relativistic locality is interpreted in this paper as a web of conditions expressing the compatibility of a physical theory with the underlying causal structure of spacetime. Four components of this web are distinguished: spatiotemporal locality, along with three distinct notions of causal locality, dubbed CL-Independence, CL-Dependence, and CL-Dynamic. These four conditions can be regimented using concepts from the categorical approach to quantum field theory initiated by Brunetti, Fredenhagen, and Verch . A covariant functor representing a general quantum field theory is (...)
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  4. Miklós Rédei (2014). Hilbert's 6th Problem and Axiomatic Quantum Field Theory. 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. Zalán Gyenis & Miklós Rédei (2013). Atomicity and Causal Completeness. Erkenntnis:1-15.
    The role of measure theoretic atomicity in common cause closedness of general probability theories with non-distributive event structures is raised and investigated. It is shown that if a general probability space is non-atomic then it is common cause closed. Conditions are found that entail that a general probability space containing two atoms is not common cause closed but it is common cause closed if it contains only one atom. The results are discussed from the perspective of the Common Cause Principle.
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  6. Miklós Rédei & Iñaki Pedro (2012). Distinguishing Causality Principles. Studies in History and Philosophy of Science Part B 43 (2):84-89.
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  7. Miklós Rédei & Iñaki San Pedro (2012). Distinguishing Causality Principles. Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 43 (2):84-89.
  8. Zalán Gyenis & Miklós Rédei (2011). Characterizing Common Cause Closed Probability Spaces. Philosophy of Science 78 (3):393-409.
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  9. Marc Lange, Raphael van Riel, Maximilian Schlosshauer, Gregory Wheeler, Zalán Gyenis, Miklós Rédei, John Byron Manchak, James Owen Weatherall, Bruce Glymour & Bradford Skow (2011). 10. Discussion: Problems for Natural Selection as a Mechanism Discussion: Problems for Natural Selection as a Mechanism (Pp. 512-523). [REVIEW] Philosophy of Science 78 (3).
     
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  10. Miklos Redei & Balazs Gyenis (2011). Causal Completeness of Probability Theories-Results and Open Problems. In Phyllis McKay Illari, Federica Russo & Jon Williamson (eds.), Causality in the Sciences. Oup Oxford.
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  11. Miklós Rédei (2010). Einstein's Dissatisfaction with Nonrelativistic Quantum Mechanics and Relativistic Quantum Field Theory. 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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  12. MiklÓs RÉdei (2010). Kolmogorovian Censorship Hypothesis For General Quantum Probability Theories. Manuscrito 33 (1):365-380.
    It is shown that the Kolmogorovian Censorship Hypothesis, according to which quantum probabilities are interpretable as conditional probabilities in a classical probability measure space, holds not only for Hilbert space quantum mechanics but for general quantum probability theories based on the theory of von Neumann algebras.
     
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  13. Miklós Rédei (2010). Operational Independence and Operational Separability in Algebraic Quantum Mechanics. Foundations of Physics 40 (9-10):1439-1449.
    Recently, new types of independence of a pair of C *- or W *-subalgebras (1,2) of a C *- or W *-algebra have been introduced: operational C *- and W *-independence (Rédei and Summers, http://arxiv.org/abs/0810.5294, 2008) and operational C *- and W *-separability (Rédei and Valente, How local are local operations in local quantum field theory? 2009). In this paper it is shown that operational C *-independence is equivalent to operational C *-separability and that operational W *-independence is equivalent to (...)
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  14. Miklós Rédei & Giovanni Valente (2010). How Local Are Local Operations in Local Quantum Field Theory? Studies in History and Philosophy of Science Part B 41 (4):346-353.
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  15. Mauricio Suarez, Mauro Dorato & Miklos Redei (eds.) (2010). EPSA Philosophical Issues in the Sciences. Springer.
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  16. Miklós Rédei (2007). The Birth of Quantum Logic. 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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  17. Miklós Rédei & Stephen Jeffrey Summers (2007). Quantum Probability Theory. Studies in History and Philosophy of Science Part B 38 (2):390-417.
  18. Gábor Hofer-Szabó & Miklós Rédei (2006). Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist. Foundations of Physics 36 (5):745-756.
    A partition $\{C_i\}_{i\in I}$ of a Boolean algebra Ω in a probability measure space (Ω, p) is called a Reichenbachian common cause system for the correlation between a pair A,B of events in Ω if any two elements in the partition behave like a Reichenbachian common cause and its complement; the cardinality of the index set I is called the size of the common cause system. It is shown that given any non-strict correlation in (Ω, p), and given any finite (...)
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  19. Miklós Rédei & Michael Stöltzner (2006). Soft Axiomatisation: John von Neumann on Method and von Neumann's Method in the Physical Sciences. In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer. 235--249.
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  20. Balazs Gyenis & Miklos Redei (2004). When Can Statistical Theories Be Causally Closed? 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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  21. Gabor Hofer-Szabo & Miklos Redei, Reichenbachian Common Cause Systems.
    A partition $\{C_i\}_{i\in I}$ of a Boolean algebra $\cS$ in a probability measure space $(\cS,p)$ is called a Reichenbachian common cause system for the correlated pair $A,B$ of events in $\cS$ if any two elements in the partition behave like a Reichenbachian common cause and its complement, the cardinality of the index set $I$ is called the size of the common cause system. It is shown that given any correlation in $(\cS,p)$, and given any finite size $n>2$, the probability space (...)
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  22. MiklÓs RÉdei (2003). Thinking About Thought Experiments in Physics. Comment on" Experiments and Thought Experiments in Natural Science". Boston Studies in the Philosophy of Science 232:237-242.
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  23. Gabor Hofer-Szabo, Miklos Redei & Laszlo E. Szabo (2002). Common-Causes Are Not Common Common-Causes. 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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  24. Gábor Hofer-Szabó, Miklós Rédei & László E. Szabó (2002). Common-Causes Are Not Common Common-Causes. 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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  25. Miklós Rédei (2002). Mathematical Physics and Philosophy of Physics. 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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  26. Miklós Rédei (2002). Reichenbach's Common Cause Principle and Quantum Correlations. In T. Placek & J. Butterfield (eds.), Non-Locality and Modality. Kluwer. 259--270.
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  27. Miklos Redei & Stephen J. Summers (2002). Local Primitive Causality and the Common Cause Principle in Quantum Field Theory. 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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  28. Miklós Rédei (2001). Facets of Quantum Logic. Studies in History and Philosophy of Science Part B 32 (1):101-111.
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  29. Miklós Rédei (2001). Von Neumann’s Concept of Quantum Logic and Quantum Probability. 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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  30. Miklós Rédei & Michael Stöltzner (2001). Amsterdam Talk About “Problems in Mathematics” September 2, 1954. Vienna Circle Institute Yearbook 8:247-248.
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  31. Miklós Rédei & Michael Stöltzner (2001). Editors’ Notes. 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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  32. Miklós Rédei & Michael Stöltzner (2001). Introduction. 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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  33. Miklós Rédei & Michael Stöltzner (2001). Unpublished Correspondence. Vienna Circle Institute Yearbook 8:225-229.
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  34. Miklós Rédei, Michael Stöltzner, Walter Thirring, Ulrich Majer & Jeffrey Bub (2001). John von Neumann and the Foundations of Quantum Physics. Springer Netherlands.
    ... of Quantum Physics Book Editors Miklós Rédei1 Michael Stöltzner2 Eötvös University, Budapest, Hungary Institute Vienna Circle, Vienna, University of Salzburg, Vienna, Austria ISSN 09296328 ISBN 9789048156511 ISBN 9789401720120 ...
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  35. Miklos Redei (1999). 'Unsolved Problems of Mathematics' J von Neumann's Address to the International Congress of Mathematicians, Amsterdam, September 2-9, 1954. The Mathematical Intelligencer 21:7-12.
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  36. Miklos Redei (1998). Book Review: Quantum Logic in Algebraic Approach. [REVIEW] Foundations of Physics 28 (11):1729-1732.
     
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  37. Miklós Rédei (1997). Reichenbach's Common Cause Principle and Quantum Field Theory. Foundations of Physics 27 (10):1309-1321.
  38. John Earman & Miklós Rédei (1996). Why Ergodic Theory Does Not Explain the Success of Equilibrium Statistical Mechanics. 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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  39. Miklos Rédei (1996). Why John von Neumann Did Not Like the Hilbert Space Formalism of Quantum Mechanics (and What He Liked Instead). Studies in History and Philosophy of Science Part B 27 (4):493-510.
  40. Miklos Redei (1995). Logical Independence in Quantum Logic. Foundations of Physics 25 (3):411-422.
    The projection latticesP(ℳ1),P(ℳ2) of two von Neumann subalgebras ℳ1, ℳ2 of the von Neumann algebra ℳ are defined to be logically independent if A ∧ B≠0 for any 0≠AεP(ℳ1), 0≠BP(ℳ2). After motivating this notion in independence, it is shown thatP(ℳ1),P(ℳ2) are logically independent if ℳ1 is a subfactor in a finite factor ℳ andP(ℳ1),P(ℳ2 commute. Also, logical independence is related to the statistical independence conditions called C*-independence W*-independence, and strict locality. Logical independence ofP(ℳ1,P(ℳ2 turns out to be equivalent to the (...)
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  41. Miklos Redei (1993). Are Prohibitions of Superluminal Causation by Stochastic Einstein Locality and by Absence of Lewisian Probabilistic Counterfactual Causality Equivalent? 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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  42. Miklós Rédei (1992). Krylov's Proof That Statistical Mechanics Cannot Be Founded on Classical Mechanics and Interpretation of Classical Statistical Mechanical Probabilities. Philosophia Naturalis 29 (2):268-284.
  43. Miklós Rédei (1992). Krylov's Proof That Statistical Mechanics Cannot Be Founded on Classical Mechan.. Philosophia Naturalis 29:268-284.
  44. Miklós Rédei (1992). When Can Non-Commutative Statistical Inference Be Bayesian? International Studies in the Philosophy of Science 6 (2):129 – 132.
    Based on recalling two characteristic features of Bayesian statistical inference in commutative probability theory, a stability property of the inference is pointed out, and it is argued that that stability of the Bayesian statistical inference is an essential property which must be preserved under generalization of Bayesian inference to the non-commutative case. Mathematical no-go theorems are recalled then which show that, in general, the stability can not be preserved in non-commutative context. Two possible interpretations of the impossibility of generalization of (...)
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  45. Miklós Rédei (1992). When Can Non‐Commutative Statistical Inference Be Bayesian? International Studies in the Philosophy of Science 6 (2):129-132.
    Abstract Based on recalling two characteristic features of Bayesian statistical inference in commutative probability theory, a stability property of the inference is pointed out, and it is argued that that stability of the Bayesian statistical inference is an essential property which must be preserved under generalization of Bayesian inference to the non?commutative case. Mathematical no?go theorems are recalled then which show that, in general, the stability can not be preserved in non?commutative context. Two possible interpretations of the impossibility of generalization (...)
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  46. Miklos Redei (1991). Bell's Inequalities, Relativistic Quantum Field Theory and the Problem of Hidden Variables. 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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  47. Miklós Rédei (1987). Reformulation of the Hidden Variable Problem Using Entropic Measure of Uncertainty. Synthese 73 (2):371 - 379.
    Using a recently introduced entropy-like measure of uncertainty of quantum mechanical states, the problem of hidden variables is redefined in operator algebraic framework of quantum mechanics in the following way: if A, , E(A), E() are von Neumann algebras and their state spaces respectively, (, E()) is said to be an entropic hidden theory of (A, E(A)) via a positive map L from onto A if for all states E(A) the composite state ° L E() can be obtained as an (...)
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  48. Miklós Rédei (1986). Nonexistence of Hidden Variables in the Algebraic Approach. Foundations of Physics 16 (8):807-815.
    Given two unital C*-algebrasA, ℬ and their state spacesE A , Eℬ respectively, (A,E A ) is said to have (ℬ, Eℬ) as a hidden theory via a linear, positive, unit-preserving map L: ℬ →A if, for all ϕ εE A , L*ϕ can be decomposed in Eℬ into states with pointwise strictly less dispersion than that of ϕ. Conditions onA and L are found that exclude (A,E A ) from having a hidden theory via L. It is shown in (...)
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  49. Miklós Rédei (1985). Note on an Argument of W. Ochs Against the Ignorance Interpretation of State in Quantum Mechanics. Erkenntnis 23 (2):143 - 148.