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17Oxford Realism: Knowledge and Perception IBritish Journal for the History of Philosophy 8 (2): 299-338. 2000.
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32L’anti-psychologisme de Bradley : idéalité de la signification, jugement et universauxPhilosophiques 36 (1): 53-82. 2009.L’opinion est souvent exprimée que Bradley fut un des tout premiers critiques du psychologisme. Dans cet article, j’examine cette thèse en me penchant principalement sur ses Principles of Logic . Je définis le psychologisme au sens étroit comme une thèse portant sur les fondements de la logique, et le psychologisme au sens large comme une thèse plus générale en théorie de la connaissance pour montrer que Bradley a rejeté les deux, même s’il n’avait pas grand chose à dire sur la version étroite. …Read more
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4Philosophy of LogicIn Constantin V. Boundas (ed.), The Edinburgh Companion to Twentieth-Century Philosophies, Edinburgh University Press. pp. 252-269. 2007.
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26Oxford Realism: Knowledge and Perception IIBritish Journal for the History of Philosophy 8 (3): 485-519. 2000.
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Quantification and Finitism a Study in Wittgenstein's Philosophy of MathematicsDissertation, D. Phil., University of Oxford. 1991.
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7[Omnibus Review]Journal of Symbolic Logic 63 (3): 1177-1180. 1998.Reviewed Works:F. P. Ramsey, D. H. Mellor, Philosophical Papers.F. P. Ramsey, D. H. Mellor, Foundations, Essays in Philosophy, Logic, Mathematics and Economics.Frank Plumpton Ramsey, Maria Carla Galavotti, Notes on Philosophy, Probability and Mathematics.Nils-Eric Sahlin, The Philosophy of F. P. Ramsey
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33Qu'est-ce que l'inférence ? Une relecture du Tractatus logico-philosophicusArchives de Philosophie 3 (3): 545-567. 2001.En logique mathématique, on doit distinguer entre une conception « axiomatique »de la logique, qui fut celle de Frege, Russell et Hilbert, et une conception plus « pragmatique »en termes d’actes de preuves, que l’on retrouve dans les systèmes de déduction naturelle de Gentzen. Des parallèles sont esquissés entre la conception de l’inférence et de la logique dans le Tractatus Logico-philosophicus de Wittgenstein et celle de Gentzen. Ce cadre permet en outre de jeter un regard neuf sur l’argument …Read more
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119Oxford realism: Knowledge and perception IIBritish Journal for the History of Philosophy 8 (3). 2000.This Article does not have an abstract
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12Jérôme Dokic et Pascal Engel, Ramsey. Vérité et Succès, Paris, Presses Universitaires de France, collection Philosophies, 2001, 128 pages.Jérôme Dokic et Pascal Engel, Ramsey. Vérité et Succès, Paris, Presses Universitaires de France, collection Philosophies, 2001, 128 pages (review)Philosophiques 31 (1): 266-269. 2004.
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490La logique symbolique en débat à Oxford à la fin du XIXe siècle : les disputes logiques de Lewis Carroll et John Cook WilsonRevue D’Histoire des Sciences 67 (2): 185-205. 2014.The development of symbolic logic is often presented in terms of a cumulative story of consecutive innovations that led to what is known as modern logic. This narrative hides the difficulties that this new logic faced at first, which shaped its history. Indeed, negative reactions to the emergence of the new logic in the second half of the nineteenth century were numerous and we study here one case, namely logic at Oxford, where one finds Lewis Carroll, a mathematical teacher who promoted symboli…Read more
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210Reasoning about knowledge in linear logic: modalities and complexityIn S. Rahman J. Symons (ed.), Logic, Epistemology, and the Unity of Science, Kluwer Academic Publisher. pp. 327--350. 2004.
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145Oxford realism: Knowledge and perception IBritish Journal for the History of Philosophy 8 (2). 2000.This Article does not have an abstract
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33Jogando o bebê junto com a água do banho: Wittgenstein, Goodstein e o cálculo equacionalDois Pontos 6 (1). 2009.Reuben Louis Goodstein (1912-1985) foi aluno de Wittgenstein em Cambridge de1931 a 1934. Neste artigo, faço uma breve descrição de seu trabalho na lógica matemática,no qual se percebe a influência das idéias de Wittgenstein, inclusive a substituição,em seu cálculo equacional, da indução matemática por uma regra de unicidade de umafunção definida por uma função recursiva. Esse último aspecto se encontra no Big Typescriptde Wittgenstein. Também mostro que as idéias fundamentais do cálculo equacion…Read more
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149Radical anti-realism, Wittgenstein and the length of proofsSynthese 171 (3). 2009.After sketching an argument for radical anti-realism that does not appeal to human limitations but polynomial-time computability in its definition of feasibility, I revisit an argument by Wittgenstein on the surveyability of proofs, and then examine the consequences of its application to the notion of canonical proof in contemporary proof-theoretical-semantics.
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5Plato’s Dialogues: Dialectic, Orality and CharacterIn Joseph Andrew Bjelde, David Merry & Christopher Roser (eds.), Essays on Argumentation in Antiquity, Springer. pp. 69-97. 2021.It is first argued that dialectic was a form of regimented debate, which grew out of public debates in Ancient Greece. A set of rules for dialectical bouts is then given and their meaning explained. The transition from oral to written arguments is briefly examined, leading to the formulation of a delimitation problem in Plato’s dialogues, as he inserted dialectical arguments within ordinary dialogue contexts, turning them into discussions where one of the participants reasons hypothetically to m…Read more
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8Québec Studies in the Philosophy of Science: Logic, mathematics, physics, and history of science. pt. II. Biology, psychology, cognitive science and economics (review)Kluwer Academic Publishers. 1995.By North-American standards, philosophy is not new in Quebec: the first men tion of philosophy lectures given by a Jesuit in the College de Quebec dates from 1665, and the oldest logic manuscript dates from 1679. In English-speaking universities such as McGill, philosophy began to be taught later, during the second half of the 19th century. The major influence on English-speaking philosophers was, at least initially, that of Scottish Empiricism. On the other hand, the strong influence of the Cat…Read more
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36Vie et œuvre d’un rationaliste engagé : Louis Rougier(1889-1982)Philosophia Scientiae 10 (2): 11-90. 2006.J’ai souvent songé que le propre du clerc dans l’âge moderne est de prêcher dans le désert. Je crois que j’y suis passé maître.Julien Benda Faute de savoir dans quelle catégorie vous classer, on ne vous inscrit dans aucune.Louis Rougier.
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14Following a Rule: Waismann’s VariationIn Gabriele Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium, De Gruyter. pp. 359-374. 2019.
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31The Golden Age of Polish Philosophy. Kaziemierz Twardowski’s philosophical legacy (edited book)Springer. 2009.This volume portrays the Polish or Lvov-Warsaw School, one of the most influential schools in analytic philosophy, which, as discussed in the thorough introduction, presented an alternative working picture of the unity of science.
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83Dialectic, the Dictum de Omni and EcthesisHistory and Philosophy of Logic 40 (3): 207-233. 2019.In this paper, we provide a detailed critical review of current approaches to ecthesis in Aristotle’s Prior Analytics, with a view to motivate a new approach, which builds upon previous work by Marion & Rückert (2016) on the dictum de omni. This approach sets Aristotle’s work within the context of dialectic and uses Lorenzen’s dialogical logic, hereby reframed with use of Martin-Löf's constructive type theory as ‘immanent reasoning’. We then provide rules of syllogistic for the latter, and provi…Read more
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History of Western Philosophy |
Science, Logic, and Mathematics |