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Profile: Leszek Wronski (Jagiellonian University)
  1. Michał Marczyk & Leszek Wroński (forthcoming). Completion of the Causal Completability Problem. British Journal for the Philosophy of Science:axt030.
    We give a few results concerning the notions of causal completability and causal closedness of classical probability spaces (Hofer-Szabó et al. [1999]; Gyenis and Rédei [2004]). We prove that (i) any classical probability space has a causally closed extension; (ii) any finite classical probability space with positive rational probabilities on the atoms of the event algebra can be extended to a causally up-to-three-closed finite space; and (iii) any classical probability space can be extended to a space in which all correlations (...)
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  2. Leszek Wroński (forthcoming). Reichenbach's Paradise. De Gruyter Open.
    Since its introduction by Hans Reichenbach, many philosophers have claimed to refute the idea – known as the common cause principle – that any surprising correlation between any two factors that do not directly influence one another is due to some common cause. For example, falsity of the principle is frequently inferred from falsifiability of Bell’s inequalities. The author demonstrates, however, that the situation is not so straightforward. There is more than one version of the principle formulated with the use (...)
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  3. Leszek Wroński (2014). On a Conjecture by San Pedro. European Journal for Philosophy of Science 4 (3):361-368.
    In a recent paper in this Journal Iñaki San Pedro put forward a conjecture regarding the relationship between no-conspiracy and parameter independence in EPR scenarios; namely, that violation of the former implies violation of the latter. He also offered an argument supporting the conjecture. In this short note I present a method of constructing counterexamples to the conjecture and point to a mistake in the argument.
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  4. Tomasz Placek, Jacek Wawer & Leszek Wroński (2013). Causes and (in)Determinism. Erkenntnis:1-3.
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  5. Leszek Wroński (2013). Branching Space-Times and Parallel Processing. In Hanne Andersen, Dennis Dieks, Wenceslao González, Thomas Uebel & Gregory Wheeler (eds.), New Challenges to Philosophy of Science. Springer Verlag. 135--148.
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  6. Leszek Wroński & Michał Marczyk (2013). A New Notion of Causal Closedness. Erkenntnis: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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  7. Leszek Wroński & Michał Marczyk (2010). Only Countable Reichenbachian Common Cause Systems Exist. Foundations of Physics 40 (8):1155-1160.
    In this paper we give a positive answer to a problem posed by Hofer-Szabó and Rédei (Int. J. Theor. Phys. 43:1819–1826, 2004) regarding the existence of infinite Reichenbachian common cause systems (RCCSs). An example of a countably infinite RCCS is presented. It is also determined that no RCCSs of greater cardinality exist.
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  8. Tomasz Placek & Leszek Wroński (2009). On Infinite Epr-Like Correlations. Synthese 167 (1):1 - 32.
    The paper investigates, in the framework of branching space–times, whether an infinite EPR-like correlation which does not involve finite EPR-like correlations is possible.
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  9. Leszek Wronski & Tomasz Placek (2009). On Infinite EPR-Like Correlations. Synthese 167 (1):1 - 32.
    The paper investigates, in the framework of branching space-times, whether an infinite EPR-like correlation which does not involve finite EPR-like correlations is possible.
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  10. Leszek Wroński & Tomasz Placek (2009). On Minkowskian Branching Structures☆. Studies in History and Philosophy of Science Part B 40 (3):251-258.
    We introduce the notion of a Minkowskian Branching Structure ("MBS" for short). Then we prove some results concerning the phenomenon of funny business in its finitary and infinitary variants.
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  11. Michal Marczyk & Leszek Wronski, Exhaustive Classication of Finite Classical Probability Spaces with Regard to the Notion of Causal Up-to-N-Closedness.
    Extending the ideas from (Hofer-Szabó and Rédei [2006]), we introduce the notion of causal up-to-n-closedness of probability spaces. A probability space is said to be causally up-to-n-closed with respect to a relation of independence R_ind iff for any pair of correlated events belonging to R_ind the space provides a common cause or a common cause system of size at most n. We prove that a finite classical probability space is causally up-to-3-closed w.r.t. the relation of logical independence iff its probability (...)
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  12. Michal Marczyk & Leszek Wronski, Only Countable Common Cause Systems Exist.
    In this paper we give a positive answer to a problem posed by G. Hofer-Szabo and M. Redei (2004) regarding the existence of infinite common cause systems (CCSs). An example of a countably infinite CCS is presented, as well as the proof that no CCSs of greater cardinality exist.
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