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Gábor Hofer-Szabó [32]G. Hofer-Szabo [2]
  1.  43
    The principle of the common cause.Miklós Redei, Gabor Hofer-Szabo & Laszlo Szabo - 2013 - Cambridge, U.K: Cambridge University Press. Edited by Miklós Rédei & László E. Szabó.
    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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  2. Conditioning using conditional expectations: the Borel–Kolmogorov Paradox.Zalán Gyenis, Gabor Hofer-Szabo & Miklós Rédei - 2016 - Synthese 194 (7):2595-2630.
    The Borel–Kolmogorov Paradox is typically taken to highlight a tension between our intuition that certain conditional probabilities with respect to probability zero conditioning events are well defined and the mathematical definition of conditional probability by Bayes’ formula, which loses its meaning when the conditioning event has probability zero. We argue in this paper that the theory of conditional expectations is the proper mathematical device to conditionalize and that this theory allows conditionalization with respect to probability zero events. The conditional probabilities (...)
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  3. On Reichenbach's common cause principle and Reichenbach's notion of common cause.G. Hofer-Szabo - 1999 - British Journal for the Philosophy of Science 50 (3):377-399.
    It is shown that, given any finite set of pairs of random events in a Boolean algebra which are correlated with respect to a fixed probability measure on the algebra, the algebra can be extended in such a way that the extension contains events that can be regarded as common causes of the correlations in the sense of Reichenbach's definition of common cause. It is shown, further, that, given any quantum probability space and any set of commuting events in it (...)
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  4.  19
    Two concepts of noncontextuality in quantum mechanics.Gábor Hofer-Szabó - 2022 - Studies in History and Philosophy of Science Part A 93 (C):21-29.
  5.  77
    Reichenbachian common cause systems.Gábor Hofer-Szabó & Miklos Redei - 2004 - International Journal of Theoretical Physics 43:1819-1826.
    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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  6.  34
    On the meaning of EPR’s Reality Criterion.Gábor Hofer-Szabó & Márton Gömöri - 2021 - Synthese 199 (5-6):13441-13469.
    This essay has two main claims about EPR’s Reality Criterion. First, we claim that the application of the Reality Criterion makes an essential difference between the EPR argument and Einstein’s later arguments against quantum mechanics. We show that while the EPR argument, making use of the Reality Criterion, does derive that certain interpretations of quantum mechanics are incomplete, Einstein’s later arguments, making no use of the Reality Criterion, do not prove incompleteness, but rather point to the inadequacy of the Copenhagen (...)
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  7. Common‐Causes are Not Common Common‐Causes.Gábor Hofer-Szabó, Miklós Rédei & László E. Szabó - 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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  8. Reichenbachian Common Cause Systems of Arbitrary Finite Size Exist.Gábor Hofer-Szabó & Miklós Rédei - 2006 - 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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  9.  33
    Commutativity, Comeasurability, and Contextuality in the Kochen-Specker Arguments.Gábor Hofer-Szabó - 2021 - Philosophy of Science 88 (3):483-510.
    I will argue that Kochen-Specker arguments do not provide an algebraic proof for quantum contextuality since, for the argument to be effective, operators must be uniquely associated with measur...
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  10.  33
    Three noncontextual hidden variable models for the Peres-Mermin square.Gábor Hofer-Szabó - 2021 - European Journal for Philosophy of Science 11 (1):1-12.
    I will argue that the Peres-Mermin square does not necessarily rule out a value-definite (deterministic) noncontextual hidden variable model if the operators are not given a physical interpretation satisfying the following two requirements: (i) each operator is uniquely realized by a single physical measurement; (ii) commuting operators are realized by simultaneous measurements. To underpin this claim, I will construct three hidden variable models for three different physical realizations of the Peres-Mermin square: one violating (i), another violating (ii), and a third (...)
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  11.  35
    Bell inequality and common causal explanation in algebraic quantum field theory.Gábor Hofer-Szabó & Péter Vecsernyés - 2013 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):404-416.
    Bell inequalities, understood as constraints between classical conditional probabilities, can be derived from a set of assumptions representing a common causal explanation of classical correlations. A similar derivation, however, is not known for Bell inequalities in algebraic quantum field theories establishing constraints for the expectation of specific linear combinations of projections in a quantum state. In the paper we address the question as to whether a ‘common causal justification’ of these non-classical Bell inequalities is possible. We will show that although (...)
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  12.  67
    Reichenbach’s Common Cause Principle in Algebraic Quantum Field Theory with Locally Finite Degrees of Freedom.Gábor Hofer-Szabó & Péter Vecsernyés - 2012 - Foundations of Physics 42 (2):241-255.
    In the paper it will be shown that Reichenbach’s Weak Common Cause Principle is not valid in algebraic quantum field theory with locally finite degrees of freedom in general. Namely, for any pair of projections A, B supported in spacelike separated double cones ${\mathcal{O}}_{a}$ and ${\mathcal{O}}_{b}$ , respectively, a correlating state can be given for which there is no nontrivial common cause (system) located in the union of the backward light cones of ${\mathcal{O}}_{a}$ and ${\mathcal{O}}_{b}$ and commuting with the both (...)
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  13.  43
    Separate- versus common-common-cause-type derivations of the Bell inequalities.Gábor Hofer-Szabó - 2008 - Synthese 163 (2):199-215.
    Standard derivations of the Bell inequalities assume a common-commoncause-system that is a common screener-off for all correlations and some additional assumptions concerning locality and no-conspiracy. In a recent paper Graßhoff et al., "The British Journal for the Philosophy of Science", 56, 663–680 ) Bell inequalities have been derived via separate common causes assuming perfect correlations between the events. In the paper it will be shown that the assumptions of this separate-common-cause-type derivation of the Bell inequalities in the case of perfect (...)
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  14.  50
    On the concept of Bell's local causality in local classical and quantum theory.Gábor Hofer-Szabó & Péter Vecsernyés - 2015 - Journal of Mathematical Physics 56:032303.
    The aim of this paper is to give a sharp definition of Bell's notion of local causality. To this end, first we unfold a framework, called local physical theory, integrating probabilistic and spatiotemporal concepts. Formulating local causality within this framework and classifying local physical theories by whether they obey local primitive causality---a property rendering the dynamics of the theory causal, we then investigate what is needed for a local physical theory, with or without local primitive causality, to be locally causal. (...)
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  15.  35
    Bell's local causality for philosophers.Gábor Hofer-Szabó & Péter Vecsernyés - unknown
    This paper is the philosopher-friendly version of our more technical work. It aims to give a clear-cut definition of Bell's notion of local causality. Having provided a framework, called local physical theory, which integrates probabilistic and spatiotemporal concepts, we formulate the notion of local causality and relate it to other locality and causality concepts. Then we compare Bell's local causality with Reichenbach's Common Cause Principle and relate both to the Bell inequalities. We find a nice parallelism: both local causality and (...)
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  16. Bell(δ) Inequalities Derived from Separate Common Causal Explanation of Almost Perfect EPR Anticorrelations.Gábor Hofer-Szabó - 2011 - Foundations of Physics 41 (8):1398-1413.
    It is a well known fact that a common common causal explanation of the EPR scenario which consists in providing a local, non-conspiratorial common common cause system for a set of EPR correlations is excluded by various Bell inequalities. But what if we replace the assumption of a common common cause system by the requirement that each correlation of the set has a local, non-conspiratorial separate common cause system? In the paper we show that this move does not yield a (...)
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  17.  19
    PBR, Nonreality and Entangled Measurement.Gábor Hofer-Szabó - 2024 - Foundations of Physics 54 (3):1-7.
    In a recent paper, Cabbolet argues that the PBR theorem is nonreal since in the ensemble interpretation of quantum mechanics the entangled measurement used in the derivation of the PBR theorem is nonexisting. However, Cabbolet (1) does not provide any argument for the nonexistence of entangled measurements beyond the incompatibility of the existence of entangled measurements and the existence of $$\psi$$ -epistemic models which we already know from the PBR theorem; and (2) he does not show why it is more (...)
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  18.  26
    How macrostates come about?Marton Gomori, Balazs Gyenis & Gábor Hofer-Szabó - unknown
    This paper is a further consideration of Hemmo and Shenker’s ideas about the proper conceptual characterization of macrostates in statistical mechanics. We provide two formulations of how macrostates come about as elements of certain partitions of the system’s phase space imposed on by the interaction between the system and an observer, and we show that these two formulations are mathematically equivalent. We also reflect on conceptual issues regarding the relationship of macrostates to distinguishability, thermodynamic regularity, observer dependence, and the general (...)
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  19.  61
    Modality in Physics.Gábor Hofer-Szabó, Joanna Luc & Tomasz Placek - 2020 - Foundations of Physics 50 (6):515-521.
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  20.  35
    Quantum Theory and Local Causality.Péter Vecsernyés & Gábor Hofer-Szabó - 2018 - Cham: Springer Verlag. Edited by Péter Vecsernyés.
    ​This book summarizes the results of research the authors have pursued in the past years on the problem of implementing Bell's notion of local causality in local physical theories and relating it to other important concepts and principles in the foundations of physics such as the Common Cause Principle, Bell's inequalities, the EPR scenario, and various other locality and causality concepts. The book is intended for philosophers of science with an interest in the formal background of sciences, philosophers of physics (...)
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  21. A dynamical systems approach to causation.Peter Fazekas, Balazs Gyenis, Gábor Hofer-Szabó & Gergely Kertesz - 2019 - Synthese 198 (7):6065-6087.
    Our approach aims at accounting for causal claims in terms of how the physical states of the underlying dynamical system evolve with time. Causal claims assert connections between two sets of physicals states—their truth depends on whether the two sets in question are genuinely connected by time evolution such that physical states from one set evolve with time into the states of the other set. We demonstrate the virtues of our approach by showing how it is able to account for (...)
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  22.  23
    Sequential Measurements and the Kochen–Specker Arguments.Gábor Hofer-Szabó - 2023 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 55 (1):29-42.
    It will be shown that the Peres–Mermin square admits value-definite noncontextual hidden-variable models if the observables associated with the operators can be measured only sequentially but not simultaneously. Namely, sequential measurements allow for noncontextual models in which hidden states update between consecutive measurements. Two recent experiments realizing the Peres–Mermin square by sequential measurements will also be analyzed along with other hidden-variable models accounting for these experiments.
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  23.  44
    A generalized definition of Bell’s local causality.Gábor Hofer-Szabó & Péter Vecsernyés - 2016 - Synthese 193 (10).
    This paper aims to implement Bell’s notion of local causality into a framework, called local physical theory, which is general enough to integrate both probabilistic and spatiotemporal concepts and also classical and quantum theories. Bell’s original idea of local causality will then arise as the classical case of our definition. First, we investigate what is needed for a local physical theory to be locally causal. Then we compare local causality with Reichenbach’s common cause principle and relate both to the Bell (...)
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  24.  18
    Making it Formally Explicit: Probability, Causality and Indeterminism.Gábor Hofer-Szabó & Leszek Wroński (eds.) - 2017 - Cham: Springer International Publishing.
    This book collects research papers on the philosophical foundations of probability, causality, spacetime and quantum theory. The papers are related to talks presented in six subsequent workshops organized by The Budapest-Kraków Research Group on Probability, Causality and Determinism. Coverage consists of three parts. Part I focuses on the notion of probability from a general philosophical and formal epistemological perspective. Part II applies probabilistic considerations to address causal questions in the foundations of quantum mechanics. Part III investigates the question of indeterminism (...)
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  25. 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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  26.  18
    Three principles leading to the bell inequalities.Gábor Hofer-Szabó - 2016 - Belgrade Philosophical Annual 29 (29):57-66.
    In the paper we compare three principles accounting for correlations, namely Reichenbach's Common Cause Principle, Bell's Local Causality Principle, and Einstein's Reality Criterion and relate them to the Bell inequalities. We show that there are two routes connecting the principles to the Bell inequalities. In case of Reichenbach's Common Cause Principle and Bell's Local Causality Principle one assumes a non-conspiratorial joint common cause for a set of correlations. In case of Einstein's Reality Criterion one assumes strongly non-conspiratorial separate common causes (...)
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  27. A Noncommutative Locally Causal Model for the EPR Scenario.Péter Vecsernyés & Gábor Hofer-Szabó - 2018 - In Péter Vecsernyés & Gábor Hofer-Szabó (eds.), Quantum Theory and Local Causality. Cham: Springer Verlag.
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  28. Locality and Causality Principles.Péter Vecsernyés & Gábor Hofer-Szabó - 2018 - In Péter Vecsernyés & Gábor Hofer-Szabó (eds.), Quantum Theory and Local Causality. Cham: Springer Verlag.
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  29. Summary and Outlook.Péter Vecsernyés & Gábor Hofer-Szabó - 2018 - In Péter Vecsernyés & Gábor Hofer-Szabó (eds.), Quantum Theory and Local Causality. Cham: Springer Verlag.
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  30. The Common Cause Principle.Péter Vecsernyés & Gábor Hofer-Szabó - 2018 - In Péter Vecsernyés & Gábor Hofer-Szabó (eds.), Quantum Theory and Local Causality. Cham: Springer Verlag.
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  31. The EPR Scenario.Péter Vecsernyés & Gábor Hofer-Szabó - 2018 - In Péter Vecsernyés & Gábor Hofer-Szabó (eds.), Quantum Theory and Local Causality. Cham: Springer Verlag.
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  32. What Is a Local Physical Theory?Péter Vecsernyés & Gábor Hofer-Szabó - 2018 - In Péter Vecsernyés & Gábor Hofer-Szabó (eds.), Quantum Theory and Local Causality. Cham: Springer Verlag.
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