Leszek Wroński | Jagiellonian University (original) (raw)
Papers by Leszek Wroński
Logic and Logical Philosophy
We show how to extend any finite probability space into another finite one which satisfies the co... more We show how to extend any finite probability space into another finite one which satisfies the conditional construal of conditional probability for the original propositions, given some maximal allowed degree of nesting of the conditional. This mitigates the force of the well-known triviality results.
Episteme, 2022
[Accepted in Episteme.] We report a solution to an open problem regarding the axiomatization of t... more [Accepted in Episteme.] We report a solution to an open problem regarding the axiomatization of the convex hull of a type of nonclassical evaluations. We then investigate the meaning of this result for the larger context of the relation between rational credence functions and nonclassical probability. We claim that the notions of bets and Dutch Books typically employed in formal epistemology are of doubtful use outside the realm of classical logic, eventually proposing two novel ways of understanding Dutch Books in nonclassical settings.
European Studies in Philosophy of Science, 2017
European Journal for Philosophy of Science, 2016
We investigate how Dutch Book considerations can be conducted in the context of two classes of no... more We investigate how Dutch Book considerations can be conducted in the context of two classes of nonclassical probability spaces used in philosophy of physics. In particular we show that a recent proposal by B. Feintzeig to find so called "generalized probability spaces" which would not be susceptible to a Dutch Book and would not possess a classical extension is doomed to fail. Noting that the particular notion of a nonclassical probability space used by Feintzeig is not the most common employed in philosophy of physics, and that his usage of the "classical" Dutch Book concept is not appropriate in "nonclassical" contexts, we then argue that if we switch to the more frequently used formalism and use the correct notion of a Dutch Book, then all probability spaces are not susceptible to a Dutch Book. We also settle a hypothesis regarding the existence of classical extensions of a class of generalized probability spaces.
New Directions in the Philosophy of Science, 2014
A variant of the 2nd movement of the Sonata op.2 no.6 CSWV H:30.
Synthese, 2020
I claim that objective consequentialism (OC) faces a problem stemming from the existence in some ... more I claim that objective consequentialism (OC) faces a problem stemming from the existence in some situations of a plurality of chances relevant to the outcomes of an agent's acts. I suggest that this phenomenon bears structural resemblance to the well-known Reference Class problem. I outline a few ways in which one could attempt to deal with the issue, suggesting that it is the higher-level chance that should be employed by OC.
Full score, based on the freely available scan of the manuscript Mus.ms 9408/2 of the Musikabteil... more Full score, based on the freely available scan of the manuscript Mus.ms 9408/2 of the Musikabteilung of the Staatsbibliothek zu Berlin-Preußischer Kulturbesitz. (For performance material contact the editor.)
For tenor solo, flute, oboe and bc
A motet for solo ATB + basso continuo.
Hawthorne et al. (2015) argue that the Principal Principle implies a version of the Principle of ... more Hawthorne et al. (2015) argue that the Principal Principle implies a version of the Principle of Indifference. We show that what the Authors take to be the Principle of Indifference can be obtained without invoking anything which would seem to be related to the Principal Principle. In the Appendix we also discuss several Conditions proposed in the same paper.
We point out a yet unnoticed flaw in Dutch Book arguments that relates to a link between degrees ... more We point out a yet unnoticed flaw in Dutch Book arguments that relates to a link between degrees of belief and betting quotients. We offer a set of precise conditions governing when a nonprobabilist is immune to the classical Dutch Book argument. We suggest that diachronic Dutch Book arguments are also affected.
![Research paper thumbnail of J.D. Zelenka - Missa Fidei ZWV 6 [full score]](https://attachments.academia-assets.com/38554143/thumbnails/1.jpg)
](Full score of an early mass by Zelenka, transcribed and edited by L. Wroński.
This note on a recent award-winning paper (Feintzeig (2014)) contains three results: 1) that, co... more This note on a recent award-winning paper (Feintzeig (2014)) contains three results: 1) that, contrary to Feintzeig's conjecture, subadditivity does not guarantee the existence of a classical extension of a given generalized probability space; 2) that the claim made in the paper that subadditivity of a generalized probability space guarantees its nonsusceptability to a Dutch Book (in Feintzeig's sense) is also false; 3) and that Feintzeig's proposed program of finding generalized probability spaces which would be both nonsusceptible to a Dutch Book and would not possess a classical extension is doomed to fail (at
least among finite probability spaces): a general theorem is shown according to which a space has a classical extension if and only if it is not susceptible to a Dutch Book.
![Research paper thumbnail of A New Notion of Causal Closedness [open access]](https://attachments.academia-assets.com/38326172/thumbnails/1.jpg)
](In recent years part of the literature on probabilistic causality concerned notions stemming from... more 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 introduce a new and natural notion similar to causal closedness and prove a number of theorems which can be seen as extensions of earlier results from the literature. Most notably we prove that a finite probability space is causally closed in our sense iff its measure is uniform. We also present a generalisation of this result to a class of non-classical probability spaces.
We investigate the semantics of historical counterfactuals in indeterministic contexts. We claim ... more We investigate the semantics of historical counterfactuals in indeterministic contexts. We claim that “plain” and "necessitated” counterfactuals differ in meaning. To substantiate this claim, we propose a new semantic
treatment of historical counterfactuals in the Branching Time framework. We supplement our semantics with supervaluationist postsemantics, thanks to which we can explain away the intuitions which seem to talk in favor of the identification of “would” with “would necessarily.”
There is a remarkable similarity between some mathematical objects used in the Branching Space-Ti... more There is a remarkable similarity between some mathematical objects used in the Branching Space-Times framework and those appearing in computer science in the fields of event structures for concurrent processing and Chu spaces. This paper introduces the similarities and formulates a few open questions for further research, hoping that both BST theorists and computer scientists can benefit from the project.
In a recent paper in European Journal for Philosophy of Science Iñaki San Pedro put forward a con... more In a recent paper in European Journal for Philosophy of Science 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.
Logic and Logical Philosophy
We show how to extend any finite probability space into another finite one which satisfies the co... more We show how to extend any finite probability space into another finite one which satisfies the conditional construal of conditional probability for the original propositions, given some maximal allowed degree of nesting of the conditional. This mitigates the force of the well-known triviality results.
Episteme, 2022
[Accepted in Episteme.] We report a solution to an open problem regarding the axiomatization of t... more [Accepted in Episteme.] We report a solution to an open problem regarding the axiomatization of the convex hull of a type of nonclassical evaluations. We then investigate the meaning of this result for the larger context of the relation between rational credence functions and nonclassical probability. We claim that the notions of bets and Dutch Books typically employed in formal epistemology are of doubtful use outside the realm of classical logic, eventually proposing two novel ways of understanding Dutch Books in nonclassical settings.
European Studies in Philosophy of Science, 2017
European Journal for Philosophy of Science, 2016
We investigate how Dutch Book considerations can be conducted in the context of two classes of no... more We investigate how Dutch Book considerations can be conducted in the context of two classes of nonclassical probability spaces used in philosophy of physics. In particular we show that a recent proposal by B. Feintzeig to find so called "generalized probability spaces" which would not be susceptible to a Dutch Book and would not possess a classical extension is doomed to fail. Noting that the particular notion of a nonclassical probability space used by Feintzeig is not the most common employed in philosophy of physics, and that his usage of the "classical" Dutch Book concept is not appropriate in "nonclassical" contexts, we then argue that if we switch to the more frequently used formalism and use the correct notion of a Dutch Book, then all probability spaces are not susceptible to a Dutch Book. We also settle a hypothesis regarding the existence of classical extensions of a class of generalized probability spaces.
New Directions in the Philosophy of Science, 2014
A variant of the 2nd movement of the Sonata op.2 no.6 CSWV H:30.
Synthese, 2020
I claim that objective consequentialism (OC) faces a problem stemming from the existence in some ... more I claim that objective consequentialism (OC) faces a problem stemming from the existence in some situations of a plurality of chances relevant to the outcomes of an agent's acts. I suggest that this phenomenon bears structural resemblance to the well-known Reference Class problem. I outline a few ways in which one could attempt to deal with the issue, suggesting that it is the higher-level chance that should be employed by OC.
Full score, based on the freely available scan of the manuscript Mus.ms 9408/2 of the Musikabteil... more Full score, based on the freely available scan of the manuscript Mus.ms 9408/2 of the Musikabteilung of the Staatsbibliothek zu Berlin-Preußischer Kulturbesitz. (For performance material contact the editor.)
For tenor solo, flute, oboe and bc
A motet for solo ATB + basso continuo.
Hawthorne et al. (2015) argue that the Principal Principle implies a version of the Principle of ... more Hawthorne et al. (2015) argue that the Principal Principle implies a version of the Principle of Indifference. We show that what the Authors take to be the Principle of Indifference can be obtained without invoking anything which would seem to be related to the Principal Principle. In the Appendix we also discuss several Conditions proposed in the same paper.
We point out a yet unnoticed flaw in Dutch Book arguments that relates to a link between degrees ... more We point out a yet unnoticed flaw in Dutch Book arguments that relates to a link between degrees of belief and betting quotients. We offer a set of precise conditions governing when a nonprobabilist is immune to the classical Dutch Book argument. We suggest that diachronic Dutch Book arguments are also affected.
Full score of an early mass by Zelenka, transcribed and edited by L. Wroński.
This note on a recent award-winning paper (Feintzeig (2014)) contains three results: 1) that, co... more This note on a recent award-winning paper (Feintzeig (2014)) contains three results: 1) that, contrary to Feintzeig's conjecture, subadditivity does not guarantee the existence of a classical extension of a given generalized probability space; 2) that the claim made in the paper that subadditivity of a generalized probability space guarantees its nonsusceptability to a Dutch Book (in Feintzeig's sense) is also false; 3) and that Feintzeig's proposed program of finding generalized probability spaces which would be both nonsusceptible to a Dutch Book and would not possess a classical extension is doomed to fail (at
least among finite probability spaces): a general theorem is shown according to which a space has a classical extension if and only if it is not susceptible to a Dutch Book.
In recent years part of the literature on probabilistic causality concerned notions stemming from... more 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 introduce a new and natural notion similar to causal closedness and prove a number of theorems which can be seen as extensions of earlier results from the literature. Most notably we prove that a finite probability space is causally closed in our sense iff its measure is uniform. We also present a generalisation of this result to a class of non-classical probability spaces.
We investigate the semantics of historical counterfactuals in indeterministic contexts. We claim ... more We investigate the semantics of historical counterfactuals in indeterministic contexts. We claim that “plain” and "necessitated” counterfactuals differ in meaning. To substantiate this claim, we propose a new semantic
treatment of historical counterfactuals in the Branching Time framework. We supplement our semantics with supervaluationist postsemantics, thanks to which we can explain away the intuitions which seem to talk in favor of the identification of “would” with “would necessarily.”
There is a remarkable similarity between some mathematical objects used in the Branching Space-Ti... more There is a remarkable similarity between some mathematical objects used in the Branching Space-Times framework and those appearing in computer science in the fields of event structures for concurrent processing and Chu spaces. This paper introduces the similarities and formulates a few open questions for further research, hoping that both BST theorists and computer scientists can benefit from the project.
In a recent paper in European Journal for Philosophy of Science Iñaki San Pedro put forward a con... more In a recent paper in European Journal for Philosophy of Science 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.