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12A logico-geometric comparison of coherence for non-additive uncertainty measuresAnnals of Pure and Applied Logic. forthcoming.
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Probability and Degrees of TruthIn Igor Sedlár (ed.), The Logica Yearbook, 2021, College Publications. pp. 1-18. 2022.
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Logical perspectives on the foundations of probabilityOpen Mathematics 21 (1). 2023.We illustrate how a variety of logical methods and techniques provide useful, though currently underappreciated, tools in the foundations and applications of reasoning under uncertainty. The field is vast spanning logic, artificial intelligence, statistics, and decision theory. Rather than (hopelessly) attempting a comprehensive survey, we focus on a handful of telling examples. While most of our attention will be devoted to frameworks in which uncertainty is quantified probabilistically, we wil…Read more
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132On the logical structure of de Finetti's notion of eventJournal of Applied Logic 12 (3): 279-301. 2014.This paper sheds new light on the subtle relation between probability and logic by (i) providing a logical development of Bruno de Finetti's conception of events and (ii) suggesting that the subjective nature of de Finetti's interpretation of probability emerges in a clearer form against such a logical background. By making explicit the epistemic structure which underlies what we call Choice-based probability we show that whilst all rational degrees of belief must be probabilities, the converse …Read more
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124You better play 7: mutual versus common knowledge of advice in a weak-link experimentSynthese 190 (8): 1351-1381. 2013.This paper presents the results of an experiment on mutual versus common knowledge of advice in a two-player weak-link game with random matching. Our experimental subjects play in pairs for thirteen rounds. After a brief learning phase common to all treatments, we vary the knowledge levels associated with external advice given in the form of a suggestion to pick the strategy supporting the payoff-dominant equilibrium. Our results are somewhat surprising and can be summarized as follows: in all o…Read more
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6Analogies and Theories: Formal Models of Reasoning, Itzhak Gilboa, Larry Samuelson and David Schmeidler. Oxford University Press, 2015Economics and Philosophy 32 (2): 373-381. 2016.
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8Zero-probability and coherent betting: a logical point of viewIn T. Flaminio, L. Godo & Hykel Hosni (eds.), Symbolic and Quantiative Approaches to Resoning With Uncertainty. pp. 206-217. 2013.
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22Boolean algebras of conditionals, probability and logicArtificial Intelligence 286 (C): 103347. 2020.
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13Zero-probability and coherent betting: a logical point of viewIn T. Flaminio, L. Godo & Hykel Hosni (eds.), Symbolic and Quantiative Approaches to Resoning With Uncertainty. Lecture notes in artificial intelligence. pp. 206-217. 2013.
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63Forecasting in Light of Big DataPhilosophy and Technology 31 (4): 557-569. 2018.Predicting the future state of a system has always been a natural motivation for science and practical applications. Such a topic, beyond its obvious technical and societal relevance, is also interesting from a conceptual point of view. This owes to the fact that forecasting lends itself to two equally radical, yet opposite methodologies. A reductionist one, based on first principles, and the naïve-inductivist one, based only on data. This latter view has recently gained some attention in respon…Read more
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29Convex MV-Algebras: Many-Valued Logics Meet Decision TheoryStudia Logica 106 (5): 913-945. 2018.This paper introduces a logical analysis of convex combinations within the framework of Łukasiewicz real-valued logic. This provides a natural link between the fields of many-valued logics and decision theory under uncertainty, where the notion of convexity plays a central role. We set out to explore such a link by defining convex operators on MV-algebras, which are the equivalent algebraic semantics of Łukasiewicz logic. This gives us a formal language to reason about the expected value of boun…Read more
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27Book review: in defence of objective bayesianism (review)Minds and Machines 23 (2): 255-258. 2013.
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38Makinson David. Bridges from classical to nonmonotonic logic. Text in Computing, vol. 5. King's College, London, 2005, xvi+ 216 pp (review)Bulletin of Symbolic Logic 12 (3): 499-502. 2006.
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65Interpretation, coordination and conformityIn Ondrej Majer, Ahti-Veikko Pietarinen & Tero Tulenheimo (eds.), Games: Unifying Logic, Language, and Philosophy, Springer Verlag. pp. 37--55. 2009.
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65Rationality As ConformitySynthese 144 (2): 249-285. 2005.We argue in favour of identifying one aspect of rational choice with the tendency to conform to the choice you expect another like-minded, but non-communicating, agent to make and study this idea in the very basic case where the choice is from a non-empty subset K of 2 A and no further structure or knowledge of A is assumed.
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21Machine learning from examples: A non-inductivist analysisLogic and Philosophy of Science 3 (1): 1-31. 2005.
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36Jon Williamson: In Defence of Objective Bayesianism: Oxford University Press, Oxford, 2010, vi+185, $85.00 , ISBN 978-0-19-922800-3 (review)Minds and Machines 23 (2): 255-258. 2013.
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97Second-order uncertainty, also known as model uncertainty and Knightian uncertainty, arises when decision-makers can (partly) model the parameters of their decision problems. It is widely believed that subjective probability, and more generally Bayesian theory, are ill-suited to represent a number of interesting second-order uncertainty features, especially “ignorance” and “ambiguity”. This failure is sometimes taken as an argument for the rejection of the whole Bayesian approach, triggering a B…Read more
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11Bridges from classical to nonmonotonic logic (review)Bulletin of Symbolic Logic 12 (3): 499-502. 2006.
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4Book review: in defence of objective bayesianism (review)Minds and Machines 23 (2): 255-258. 2013.
Areas of Interest
Epistemology |
Logic and Philosophy of Logic |
Philosophy of Probability |