72 found
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  1.  65
    Wittgenstein, Finitism, and the Foundations of Mathematics.Mathieu Marion - 1998 - Oxford, England: Oxford University Press.
    This pioneering book demonstrates the crucial importance of Wittgenstein's philosophy of mathematics to his philosophy as a whole. Marion traces the development of Wittgenstein's thinking in the context of the mathematical and philosophical work of the times, to make coherent sense of ideas that have too often been misunderstood because they have been presented in a disjointed and incomplete way. In particular, he illuminates the work of the neglected 'transitional period' between the Tractatus and the Investigations.
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  2. Wittgenstein, Finitism, and the Foundations of Mathematics.Mathieu Marion - 1998 - Studia Logica 66 (3):432-434.
     
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  3.  28
    Dialectic, the Dictum de Omni and Ecthesis.Michel Crubellier, Mathieu Marion, Zoe McConaughey & Shahid Rahman - 2019 - History and Philosophy of Logic 40 (3):207-233.
    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 provide proofs of (...)
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  4. La Logique Symbolique En Débat À Oxford À la Fin du XIXe Siècle : Les Disputes Logiques de Lewis Carroll Et John Cook Wilson.Mathieu Marion & Amirouche Moktefi - 2014 - Revue D’Histoire des Sciences 67 (2):185-205.
    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 (...)
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  5.  46
    Why Play Logical Games?Mathieu Marion - 2009 - In Ondrej Majer, Ahti-Veikko Pietarinen & Tero Tulenheimo (eds.), Games: Unifying Logic, Language, and Philosophy. Springer Verlag. pp. 3--26.
  6.  33
    Antilogic.Benoît Castelnérac & Mathieu Marion - 2013 - The Baltic International Yearbook of Cognition, Logic and Communication 8 (1).
    This paper is an interim report of joint work begun in on dialectic from Parmenides to Aristotle. In the first part we present rules for dialectical games, understood as a specific form of antilogikê developed by philosophers, and explain some of the key concepts of these dialectical games in terms of ideas from game semantics. In the games we describe, for a thesis A asserted by the answerer, a questioner must elicit the answerer’s assent to further assertions B1, B2,…, Bn, (...)
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  7. Oxford Realism: Knowledge and Perception I.Mathieu Marion - 2000 - British Journal for the History of Philosophy 8 (2):299 – 338.
  8.  89
    Oxford Realism: Knowledge and Perception II.Mathieu Marion - 2000 - British Journal for the History of Philosophy 8 (3):485 – 519.
  9. Wittgenstein and Finitism.Mathieu Marion - 1995 - Synthese 105 (2):141 - 176.
    In this paper, elementary but hitherto overlooked connections are established between Wittgenstein's remarks on mathematics, written during his transitional period, and free-variable finitism. After giving a brief description of theTractatus Logico-Philosophicus on quantifiers and generality, I present in the first section Wittgenstein's rejection of quantification theory and his account of general arithmetical propositions, to use modern jargon, as claims (as opposed to statements). As in Skolem's primitive recursive arithmetic and Goodstein's equational calculus, Wittgenstein represented generality by the use of free (...)
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  10.  82
    John Cook Wilson.Mathieu Marion - 2010 - Stanford Encyclopedia of Philosophy.
    John Cook Wilson (1849–1915) was Wykeham Professor of Logic at New College, Oxford and the founder of ‘Oxford Realism’, a philosophical movement that flourished at Oxford during the first decades of the 20th century. Although trained as a classicist and a mathematician, his most important contribution was to the theory of knowledge, where he argued that knowledge is factive and not definable in terms of belief, and he criticized ‘hybrid’ and ‘externalist’ accounts. He also argued for direct realism in perception, (...)
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  11.  16
    Les Arguments de Zénon D’Après le Parménide de Platon.Mathieu Marion - 2014 - Dialogue 53 (3):393-434.
    Après avoir présenté les règles de l’antilogique éléatique, je soutiens que Zénon pratiquait celle-ci et, à partir de l’étude de passages duParménidede Platon, que ses paradoxes sur la divisibilité et le mouvement ne sont pas des réfutations par l’absurde, mais plutôt de simples dérivations d’impossibilités employées pour ridiculiser les adversaires de Parménide. Zénon ne cherchait donc pas à prouver l’inexistence du mouvement, mais simplement à l’inférer des prémisses de ses adversaires. Je montre en outre que ces paradoxes sont conçus, conformément (...)
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  12.  8
    Oxford Realism, Knowledge and Perception, Part 1.Mathieu Marion - 2000 - British Journal for the History of Philosophy 8 (2):299-338.
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  13.  3
    Was Royaumont Merely a Dialogue de Sourds? An Introduction to the Discussion Générale.Mathieu Marion - 2018 - Philosophical Inquiries 6 (1):197-214.
  14.  19
    The Golden Age of Polish Philosophy. Kaziemierz Twardowski’s Philosophical Legacy.Sandra Lapointe, Jan Wolenski, Mathieu Marion & Wioletta Miskiewicz (eds.) - 2009 - Dordrecht, Netherland: Springer.
    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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  15.  10
    Oxford Realism: Knowledge and Perception, Part II.Mathieu Marion - 2000 - British Journal for the History of Philosophy 8 (3):485-520.
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  16.  37
    Radical Anti-Realism and Substructural Logics.Jacques Dubucs & Mathieu Marion - 2003 - In A. Rojszczak, J. Cachro & G. Kurczewski (eds.), Philosophical Dimensions of Logic and Science. Kluwer Academic Publishers. pp. 235--249.
  17. Wittgenstein on Heidegger and Cosmic Emotions.Mathieu Marion - 2011 - In Anne Reboul (ed.), Philosophical Papers Dedicated to Kevin Mulligan.
     
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  18. Radical Anti-Realism, Wittgenstein and the Length of Proofs.Mathieu Marion - 2009 - Synthese 171 (3):419 - 432.
    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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  19.  13
    Wittgenstein, Ramsey and British Pragmatism.Mathieu Marion - 2012 - European Journal of Pragmatism and American Philosophy 4 (2).
  20.  28
    Gadamer and Collingwood on Temporal Distance and Understanding.Chinatsu Kobayashi & Mathieu Marion - 2011 - History and Theory 50 (4):81-103.
  21. Wittgenstein and Brouwer.Mathieu Marion - 2003 - Synthese 137 (1-2):103 - 127.
    In this paper, I present a summary of the philosophical relationship betweenWittgenstein and Brouwer, taking as my point of departure Brouwer's lecture onMarch 10, 1928 in Vienna. I argue that Wittgenstein having at that stage not doneserious philosophical work for years, if one is to understand the impact of thatlecture on him, it is better to compare its content with the remarks on logics andmathematics in the Tractactus. I thus show that Wittgenstein's position, in theTractactus, was already quite close to (...)
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  22.  9
    Friedrich Waismann - Causality and Logical Positivism.Brian Mcguinness, Mathieu Marion, Friedrich Waismann, Alexander Bird, Joachim Schulte & Hadwig Kraeutler - 2011 - Springer Verlag.
    These are commented on in this volume, which will also include a publication of new or previously scattered material and an overview of Waismann 's life.
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  23. The Realism-Antirealism Debate in the Age of Alternative Logics.Shahid Rahman, Giuseppe Primiero & Mathieu Marion (eds.) - 2011 - Dordrecht and London: Springer.
    The relation between logic and knowledge has been at the heart of a lively debate since the 1960s. On the one hand, the epistemic approaches based their formal arguments in the mathematics of Brouwer and intuitionistic logic. Following Michael Dummett, they started to call themselves `antirealists'. Others persisted with the formal background of the Frege-Tarski tradition, where Cantorian set theory is linked via model theory to classical logic. Jaakko Hintikka tried to unify both traditions by means of what is now (...)
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  24.  20
    Wittgenstein’s Constructivization of Euler’s Proof of the Infinity of Primes.Paolo Mancosu & Mathieu Marion - 2003 - Vienna Circle Institute Yearbook 10:171-188.
    We will discuss a mathematical proof found in Wittgenstein’s Nachlass, a constructive version of Euler’s proof of the infinity of prime numbers. Although it does not amount to much, this proof allows us to see that Wittgenstein had at least some mathematical skills. At the very last, the proof shows that Wittgenstein was concerned with mathematical practice and it also gives further evidence in support of the claim that, after all, he held a constructivist stance, at least during the transitional (...)
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  25.  38
    Interpreting Arithmetic : Russell on Applicability and Wittgenstein on Surveyability.Mathieu Marion - unknown
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  26.  36
    Wittgenstein et le lien entre la signification d’un énoncé mathématique et sa preuve.Mathieu Marion & Mitsuhiro Okada - 2012 - Philosophiques 39 (1):101-124.
    La thèse selon laquelle la signification d’un énoncé mathématique est donnée par sa preuve a été soutenue à la fois par Wittgenstein et par les intuitionnistes, à la suite de Heyting et de Dummett. Dans ce texte, nous nous attachons à clarifier le sens de cette thèse chez Wittgenstein, afin de montrer en quoi sa position se distingue de celle des intuitionnistes. Nous montrons par ailleurs que cette thèse prend sa source chez Wittgenstein dans sa réflexion, durant la période intermédiaire, (...)
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  27.  26
    Qu'est-ce que l'inférence ? Une relecture du Tractatus logico-philosophicus.Mathieu Marion - 2001 - Archives de Philosophie 3:545-567.
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  28.  23
    Jogando o bebê junto com a água do banho: Wittgenstein, Goodstein e o cálculo equacional.Mathieu Marion - 2009 - Dois Pontos 6 (1).
    Reuben Louis Goodstein (1912-1985) foi aluno de Wittgenstein em Cambridge de 1931 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 uma função definida por uma função recursiva. Esse último aspecto se encontra no Big Typescript de Wittgenstein. Também mostro que as idéias fundamentais do cálculo equacional podem ser encontradas (...)
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  29. Reasoning About Knowledge in Linear Logic: Modalities and Complexity.Mathieu Marion & Mehrnouche Sadrzadeh - 2004 - In S. Rahman J. Symons (ed.), Logic, Epistemology, and the Unity of Science. Kluwer Academic Publisher. pp. 327--350.
  30.  21
    Wittgenstein et la preuve mathématique comme vérifacteur.Mathieu Marion - 2011 - Philosophiques 38 (1):137-156.
    Dans ce texte, je pars de l’analyse intuitionniste de la vérité mathématique, « A est vrai si et seulement s’il existe une preuve de A » comme cas particulier de l’analyse de la vérité en termes de « vérifacteur », et je montre pourquoi Wittgenstein partageait celle-ci avec les intuitionnistes. Cependant, la notion de preuve à l’oeuvre dans cette analyse est, selon l’intuitionnisme, celle de la « preuve-comme-objet », et je montre par la suite, en interprétant son argument sur le (...)
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  31.  14
    L’anti-psychologisme de Bradley : idéalité de la signification, jugement et universaux.Mathieu Marion - 2009 - Philosophiques 36 (1):53-82.
    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 (...)
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  32.  31
    Vie et œuvre d’un rationaliste engagé : Louis Rougier.Claudia Berndt & Mathieu Marion - 2006 - Philosophia Scientiae 10 (2):11-90.
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  33.  14
    Wittgenstein on Equinumerosity and Surveyability.Mathieu Marion & Mitsuhiro Okada - 2014 - Grazer Philosophische Studien 89 (1):61-78.
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  34.  17
    Vie Et Œuvre D’Un Rationaliste Engagé : Louis Rougier.Claudia Berndt & Mathieu Marion - 2006 - Philosophia Scientae 10:11-90.
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  35.  12
    Une philosophie politique pour l’empirisme logique?Mathieu Marion - 2007 - Philosophia Scientae:181-216.
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  36. On the Unity of Collingwood's Philosophy: From Process to Self-Creation.Chinatsu Kobayashi & Mathieu Marion - 2006 - Collingwood and British Idealism Studies 12 (2):125-157.
     
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  37.  29
    Wittgenstein et son œuvre posthume. [REVIEW]Mathieu Marion - 1996 - Dialogue 35 (4):777-790.
    Wittgenstein est mort en 1951 et on attend toujours une édition de ses œuvres complètes. Ce n'est qu'en 1994 que sont parus, accompagnés d'un volume d'introduction à l'ensemble du projet d'édition de la main du directeur de publication, Michael Nedo, les deux premiers d'une série de quinze volumes, les Wiener Ausgabe, qui reproduiront l'intégralité des écrits de Wittgenstein, de son retour à Cambridge en janvier 1929 à la première version du Big Typescript en 1933, avec index et concordances. D'après le (...)
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  38.  13
    Une philosophie politique pour l’empirisme logique?Mathieu Marion - 2007 - Philosophia Scientiae:181-216.
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  39.  51
    Frank Ramsey.Fraser MacBride, Mathieu Marion, Maria Jose Frapolli, Dorothy Edgington, Edward J. R. Elliott, Sebastian Lutz & Jeffrey Paris - 2019 - Stanford Encyclopedia of Philosophy.
    Frank Plumpton Ramsey (1903–30) made seminal contributions to philosophy, mathematics and economics. Whilst he was acknowledged as a genius by his contemporaries, some of his most important ideas were not appreciated until decades later; now better appreciated, they continue to bear an influence upon contemporary philosophy. His historic significance was to usher in a new phase of analytic philosophy, which initially built upon the logical atomist doctrines of Bertrand Russell and Ludwig Wittgenstein, raising their ideas to a new level of (...)
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  40.  93
    Theory Of Knowledge In Britain From 1860 To 1950.Mathieu Marion - 2008 - The Baltic International Yearbook of Cognition, Logic and Communication 4:5.
    In 1956, a series of BBC radio talks was published in London under the title The Revolution in Philosophy . This short book included papers by prominent British philosophers of the day, such as Sir Alfred Ayer and Sir Peter Strawson, with an introduction by Gilbert Ryle. Although there is precious little in it concerning the precise nature of the ‘revolution’ alluded to in the title, it is quite clear that these lectures were meant to celebrate in an insular manner (...)
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  41.  8
    Jérôme 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]Mathieu Marion - 2004 - Philosophiques 31 (1):266-269.
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  42.  20
    F. P. Ramsey, Universals. A Reprint of 2954. Philosophical Papers, by F. P. Ramsey, Edited by D. H. Mellor, Cambridge University Press, Cambridge Etc. 1990, Pp. 8–30. [REVIEW]Mathieu Marion - 1998 - Journal of Symbolic Logic 63 (3):1177-1180.
  43.  2
    Dynamic Formal Epistemology.Patrick Girard, Olivier Roy & Mathieu Marion (eds.) - 2010 - Berlin, Germany: Springer.
    This volume is a collation of original contributions from the key actors of a new trend in the contemporary theory of knowledge and belief, that we call “dynamic epistemology”. It brings the works of these researchers under a single umbrella by highlighting the coherence of their current themes, and by establishing connections between topics that, up until now, have been investigated independently. It also illustrates how the new analytical toolbox unveils questions about the theory of knowledge, belief, preference, action, and (...)
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  44. The Later Collingwood on Method: Re-Enactment and Abduction.Chinatsu Kobayashi & Mathieu Marion - 2018 - In Karim Dharamsi, Giuseppina D’Oro & Stephen Leach (eds.), Collingwood on Philosophical Methodology. Springer Verlag. pp. 229-248.
    In this chapter, Kobayashi and Marion first provide reasons to reject the many readings of Collingwood that sought to draft him as a participant in the Hempel-Dray debate about the status of covering laws in history. After all, this debate was not part of Collingwood’s context and, although one can pry from his writings a contribution to it, one may simply, by doing so, misunderstand what he was up to. In the second part, they present the Gabbay-Woods Schema for abductive (...)
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  45. Québec Studies in the Philosophy of Science: Essays in Honor of Hugues Leblanc.Mathieu Marion & Robert Sonné Cohen - 1995
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  46. Following a Rule: Waismann's Variation.Mathieu Marion & Mitsuhiro Okada - 2018 - In Gabriele M. Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics. Berlin, Boston: De Gruyter. pp. 359-373.
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  47. ¸ Itemarioncohen1996.Mathieu Marion & RobertS Cohen (eds.) - 1996 - Springer Verlag.
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  48. Plato’s Dialogues: Dialectic, Orality and Character.Mathieu Marion - 2021 - In Joseph Andrew Bjelde, David Merry & Christopher Roser (eds.), Essays on Argumentation in Antiquity. Springer. pp. 69-97.
    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 make the other realize (...)
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  49. Philosophy of Logic.Mathieu Marion - 2007 - In Constantin Boundas (ed.), The Edinburgh Companion to Twentieth-Century Philosophies. Edinburgh University Press. pp. 252-269.
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  50. Quantification and Finitism a Study in Wittgenstein's Philosophy of Mathematics.Mathieu Marion - 1991
     
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