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11Beth, Evert Willem (1908-1964)Philosophia Scientiae 28 155-172. 2024.During a conference entitled “_Un logicien consciencieux. La philosophie de Evert Willem Beth_,” held in Nancy in 1998 and published in this journal, volume 3, cahier 4 [Barth, Heinzmann _et al._ 1998-1999], the participants regretted that a reasoned biography of Beth was not available. In view of the efforts made since then in this direction, in particular by Paul van Ulsen in his PhD thesis in Dutch [2000], this article attempts to provide an overview of Beth’s work for a broader community of …Read more
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3IntroductionIn Evandro Agazzi & Gerhard Heinzmann (eds.), The practical turn in philosophy of science: (proceedings of the annual Meeting of the International Academy of the Philosophy of Science Pont-à-Mousson / France, 10-14 September 2014), Francoangeli. pp. 7-13. 2015.International audience.
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8Quoi de neuf chez Henri Poincaré?Philosophia Scientiae 5-34. forthcoming.D’un colloque à un autre, puis à un autre... En mai 1994, les Archives Henri-Poincaré, qui n’avaient alors que deux ans d’existence, organisaient à Nancy un important colloque dédié à l’œuvre scientifique et philosophique du savant [Greffe, Heinzmann et al. 1996]. En janvier 2012, à l’occasion du centenaire du décès d’Henri Poincaré, le laboratoire inaugurait à Nancy une année marquée par d’innombrables manifestations scientifiques et grand public avec un colloque « Vers une biographie d’Henr...
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6Zwischen Objektkonstruktion und Strukturanalyse: zur Philosophie der Mathematik bei Jules Henri PoincaréVandehoeck & Rupprecht. 1995.
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2On the Interrelation between Forgiveness, Rationality and FaithIn Dariusz Łukasiewicz & Roger Pouivet (eds.), The Right to Believe: Perspectives in Religious Epistemology, De Gruyter. pp. 213-224. 2011.
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2The Concept of Forgiveness: a Case Study on the Interrelation between Metaphysics, Faith and LogicIn E. Agazzi (ed.), Science, Metaphysics, Religion, . pp. 190-200. 2014.International audience.
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6Pragmatism and the Practical Turn in Philosophy of Mathematics: Explanatory ProofsIn Evandro Agazzi & Gerhard Heinzmann (eds.), The practical turn in philosophy of science: (proceedings of the annual Meeting of the International Academy of the Philosophy of Science Pont-à-Mousson / France, 10-14 September 2014), Francoangeli. pp. 113-130. 2015.International audience.
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6Poincare and the Analytic TraditionTomsk State University Journal of Philosophy, Sociology and Political Science 34 (2): 7-20. 2016.There is no substantive agreement about the philosophical views of analytic philosophers. Nevertheless, for much of them logical analysis is widely recognized to be important. It is true that Poincare used no logical analysis but refused nevertheless the old metaphysics. Indeed, the analytic tradition of philosophy of science is perhaps better characterized by several overlapping similarities, which are the clincher for my main thesis: Analytic philosophy of science has one of its origins in the…Read more
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7After Gödel’s results the limitations of the three principal “foundational schools” became more and more evident, while the “working scientists” continued their activity caring more for the acquisition of “results” than for logical rigor. This “pragmatic turn” was perceivable also in philosophy of science due to an influence of pragmatism that replaced the previous influence of logical empiricism and analytic philosophy.
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Jean Cavaillès, philosophe et résistantIn Jean Cavaillès, Jean-Jacques Szczeciniarz & Baptiste Mélès (eds.), Hommage à Jean Cavaillès, Hermann. 2018.
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16Mathematical Understanding by Thought ExperimentsAxiomathes 32 (3): 871-886. 2022.The goal of this paper is to answer the following question: Does it make sense to speak of thought experiments not only in physics, but also in mathematics, to refer to an authentic type of activity? One may hesitate because mathematics as such is the exercise of reasoning par excellence, an activity where experience does not seem to play an important role. After reviewing some results of the research on thought experiments in the natural sciences, we turn our attention to experiments and though…Read more
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2Operation and Predicativity: Lorenzen’s Approach to ArithmeticIn Gerhard Heinzmann & Gereon Wolters (eds.), Paul Lorenzen -- Mathematician and Logician, Springer Verlag. pp. 11-22. 2021.In this article we give an overview, from a philosophical point of view, of Lorenzen’s construction of the natural and the real numbers. Particular emphasis is placed on Lorenzen’s classification in the tradition of predicative approaches that stretches from Poincaré to Feferman.
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16Paul Lorenzen -- Mathematician and Logician (edited book)Springer Verlag. 2021.This open access book examines the many contributions of Paul Lorenzen, an outstanding philosopher from the latter half of the 20th century. It features papers focused on integrating Lorenzen's original approach into the history of logic and mathematics. The papers also explore how practitioners can implement Lorenzen’s systematical ideas in today’s debates on proof-theoretic semantics, databank management, and stochastics. Coverage details key contributions of Lorenzen to constructive mathemati…Read more
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16One Hundred Years of Intuitionism : The Cerisy ConferenceBirkhäuser Basel. 2008.Intuitionism is one of the main foundations for mathematics proposed in the twentieth century and its views on logic have also notably become important with the development of theoretical computer science. This book reviews and completes the historical account of intuitionism. It also presents recent philosophical work on intuitionism and gives examples of new technical advances and applications. It brings together 21 contributions from today's leading authors on intuitionism.
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Book reviews (review)History and Philosophy of Logic 15 (1): 127-147. 1994.Hide Ishiguro, Leibniz’s philosophy of logic and language. 2nd ed. Cambridge:Cambridge University Press, 1990. x + 246pp. £27.50/$49.50 ; £10.95/$16.95 Massimo Mugnai, Leibniz’ theory of relations. Stuttgart:Franz Steiner Verlag, 1992. 291 pp. 96 DM W. A. Wallace, Galileo’s logic of discovery and proof The background, content, and use of his appropriated treatises on Aristotle’s posterior analytics. Dordrecht, Boston, and London:Kluwer, 1992. xxiii + 323 pp. £84, $139, DF1240 W. A. Wallace, Gali…Read more
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8"Dialogisches Handeln" ist eine Sammlung von philosophischen BeitrAgen zum dialogischen Konstruktivismus im Sinne von Kuno Lorenz, der Philosophie als eine Kommunikation mit Selbstreflexion versteht. Dabei umfaAt der Dialog in diesem Buch verschiedene Disziplinen der Philosophie - von der Anthropologie A1/4ber die Grundlagen von Logik und Sprachphilosophie bis hin zur Wissenschafts- und Erkenntnistheorie. Die Reflexion auf die kommunikativen Grundlagen wissenschaftlichen Austauschs schlieAt dabe…Read more
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10Umfangslogik, Inhaltslogik, Theorematic ReasoningIn Evandro Agazzi & György Darvas (eds.), Philosophy of Mathematics Today, Kluwer Academic Publishers. pp. 353--361. 1997.
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12Some Coloured Remarks on the Foundations of Mathematics in the 20th CenturyIn S. Rahman J. Symons (ed.), Logic, Epistemology, and the Unity of Science, Kluwer Academic Publisher. pp. 41--50. 2004.
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14Philosophical Pragmatism in PoincaréIn Jan T. J. Srzednicki (ed.), Initiatives in Logic, M. Nijhoff. pp. 70--80. 1987.
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2714th Congress of Logic, Methodology and Philosophy of SciencePhilosophia Scientiae 14 (1): 155-157. 2008.
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Poincaré, Russell, Zermelo et Peano. Textes de la discussion sur les fondements des mathématiques : des antinomies à la prédicativitéRevue Philosophique de la France Et de l'Etranger 179 (1): 109-110. 1989.
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41The Foundations of Geometry and the Concept of Motion: Helmholtz and PoincaréScience in Context 14 (3): 457-470. 2001.ArgumentAccording to Hermann von Helmholtz, free mobility of bodies seemed to be an essential condition of geometry. This free mobility can be interpreted either as matter of fact, as a convention, or as a precondition making measurements in geometry possible. Since Henri Poincaré defined conventions as principles guided by experience, the question arises in which sense experiential data can serve as the basis for the constitution of geometry. Helmholtz considered muscular activity to be the bas…Read more
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11Préface à la traduction de l'article de Hermann von Helmholtz «Les faits dans la perception»Philosophia Scientiae 7 (1): 43-47. 2003.
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14Paul Bernays et la rénovation des fondements philosophiques des mathématiquesRevue de Synthèse 126 (2): 317-329. 2005.L'histoire des fondements des mathématiques du xxe siècle montre qu'il nous faut réviser la signification des notions philosophiques traditionnelles comme « évidence », « existence », « expérience » ou « rationalité ». On expose comment le logicien Paul Bernays, familier des conceptions de la philosophie de Jacob Friedrich Fries et de Léonard Nelson, donne aux résultats techniques une interprétation philosophique dont il s'inspire de plus en plus - à partir du milieu du siècle - de la « philosop…Read more