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Mathieu Marion
Université du Québec à Montréal
  1.  78
    Wittgenstein, finitism, and the foundations of mathematics.Mathieu Marion - 1998 - New York: 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. 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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  4.  62
    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.
  5. Oxford realism: Knowledge and perception I.Mathieu Marion - 2000 - British Journal for the History of Philosophy 8 (2):299 – 338.
  6.  79
    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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  7.  74
    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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  8.  13
    Oxford Realism: Knowledge and Perception I.Mathieu Marion - 2000 - British Journal for the History of Philosophy 8 (2):299-338.
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  9. Oxford realism: Knowledge and perception II.Mathieu Marion - 2000 - British Journal for the History of Philosophy 8 (3):485 – 519.
  10.  17
    Oxford Realism: Knowledge and Perception II.Mathieu Marion - 2000 - British Journal for the History of Philosophy 8 (3):485-519.
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  11. 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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  12. 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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  13.  21
    Les arguments de Zénon d’après le Parménide de Platon.Mathieu Marion - 2014 - Dialogue 53 (3):393-434.
    After presenting the rules of Eleatic antilogic, i.e., dialectic, I argue that Zeno was a practitioner, and, on the basis of key passages from Plato’s Parmenides, that his paradoxes of divisibility and movement were notreductio ad absurdum, but simple derivation of impossibilities meant to ridicule Parmenides’ adversaries. Thus, Zeno did not try to prove that there is no motion, but simply derived this consequence from premises held by his opponents. I argue further that these paradoxes were devised, in accordance with (...)
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  14. Wittgenstein, Goodstein and the origin of the uniqueness rule for primitive recursive arithmetic.Mathieu Marion & Mitsuhiro Okada - 2018 - In David G. Stern (ed.), Wittgenstein in the 1930s: Between the Tractatus and the Investigations. Cambridge University Press.
     
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  15.  28
    Wittgenstein, Ramsey and British Pragmatism.Mathieu Marion - 2012 - European Journal of Pragmatism and American Philosophy 4 (2).
    In this paper, I examine the transmission of some ideas of the pragmatist tradition to Wittgenstein, in his ‘middle period,’ through the intermediary of F. P. Ramsey, with whom he had numerous fruitful discussions at Cambridge in 1929. I argue more specifically that one must first come to terms with Ramsey’s own views in 1929, and explain how they differ from views expressed in earlier papers from 1925-27, so a large part of this paper is devoted to this task. One (...)
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  16.  17
    Was Royaumont merely a dialogue de sourds? An Introduction to the discussion générale.Mathieu Marion - 2018 - Philosophical Inquiries 6 (1):197-214.
  17.  35
    Vie et œuvre d’un rationaliste engagé : Louis Rougier(1889-1982).Claudia Berndt & Mathieu Marion - 2006 - Philosophia Scientiae 10 (2):11-90.
    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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  18.  23
    Vie et œuvre d’un rationaliste engagé : Louis Rougier(1889-1982).Claudia Berndt & Mathieu Marion - 2006 - Philosophia Scientiae 10:11-90.
    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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  19.  26
    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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  20.  49
    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.
    According to the realist, the meaning of a declarative, non-indexical sentence is the condition under which it is true and the truth-condition of an undecidable sentence can obtain or fail to obtain independently of our capacity, even in principle, to recognize that it obtains or that fails to do so.1 In a series of papers, beginning with “Truth” in 1959, Michael Dummett challenged the position that the classical notion of truth-condition occupied as the central notion of a theory of meaning, (...)
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  21. Wittgenstein on Heidegger and cosmic emotions.Mathieu Marion - 2011 - In Anne Reboul (ed.), Philosophical Papers Dedicated to Kevin Mulligan.
     
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  22.  30
    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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  23.  46
    Interpreting Arithmetic : Russell on Applicability and Wittgenstein on Surveyability.Mathieu Marion - unknown
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  24. 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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  25.  29
    Qu'est-ce que l'inférence ? Une relecture du Tractatus logico-philosophicus.Mathieu Marion - 2001 - Archives de Philosophie 3 (3):545-567.
    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 de Wittgenstein (...)
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  26. 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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  27.  48
    Wittgenstein et le lien entre la signification d’un énoncé mathématique et sa preuve.Mathieu Marion & Mitsuhiro Okada - 2012 - Philosophiques 39 (1):101-124.
    The thesis according to which the meaning of a mathematical sentence is given by its proof was held by both Wittgenstein and the intuitionists, following Heyting and Dummett. In this paper, we clarify the meaning of this thesis for Wittgenstein, showing how his position differs from that of the intuitionists. We show how the thesis originates in his thoughts, from the middle period, about proofs by induction, and we sketch his answers to a number of objections, including the idea that, (...)
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  28.  47
    Gadamer and Collingwood on temporal distance and understanding.Chinatsu Kobayashi & Mathieu Marion - 2011 - History and Theory 50 (4):81-103.
  29.  18
    Friedrich Waismann - Causality and Logical Positivism.Brian Mcguinness, Mathieu Marion, Friedrich Waismann, Alexander Bird, Joachim Schulte & Hadwig Kraeutler - 2011 - Springer.
    Friedrich Waismann (1896–1959) was one of the most gifted students and collaborators of Moritz Schlick. Accepted as a discussion partner by Wittgenstein from 1927 on, he functioned as spokesman for the latter’s ideas in the Schlick Circle, until Wittgenstein’s contact with this most faithful interpreter was broken off in 1935 and not renewed when exile took Waismann to Cambridge. Nonetheless, at Oxford, where he went in 1939, and eventually became Reader in Philosophy of Mathematics (changing later to Philosophy of Science), (...)
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  30.  4
    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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  31.  30
    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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  32.  27
    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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  33.  22
    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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  34. 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.
  35.  17
    Une philosophie politique pour l’empirisme logique?Mathieu Marion - 2007 - Philosophia Scientiae:181-216.
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  36.  16
    Une philosophie politique pour l’empirisme logique?Mathieu Marion - 2007 - Philosophia Scientiae:181-216.
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  37. 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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  38.  25
    Wittgenstein on Equinumerosity and Surveyability.Mathieu Marion & Mitsuhiro Okada - 2014 - Grazer Philosophische Studien 89 (1):61-78.
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  39.  30
    L’idéalisme britannique : histoire et actualité.Sébastien Gandon & Mathieu Marion - 2009 - Philosophiques 36 (1):3-34.
    L’idéalisme britannique est un mouvement qui a dominé les universités britanniques pendant une cinquantaine d’années à la fin du xixe siècle et au début du xxe siècle, mais qui est passé presque totalement inaperçu dans le monde francophone. Rejetés en bloc par les philosophes analytiques, ces auteurs ont aussi été ignorés pendant longtemps dans leur pays, mais certains d’entre eux, notamment Bradley et Collingwood, jouissent d’un regain d’intérêt à la faveur d’un renouveau des études sur les origines de la philosophie (...)
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  40.  19
    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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  41.  8
    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. Cham: 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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  42. Cahiers D'ÉPistÉMologie.Mathieu Marion - unknown
    Cette publication, la trois cent vingt-troisième de la série, a été rendue possible grâce à la contribution financière du FQRSC (Fonds québécois de recherche sur la société et la culture).
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  43.  54
    Critical studies / book reviews.Mathieu Marion - 2000 - Philosophia Mathematica 8 (1):291-293.
  44. Following a Rule: Waismann's Variation.Mathieu Marion & Mitsuhiro Okada - 2019 - In Gabriele Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. Berlin, Boston: De Gruyter. pp. 359-373.
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  45.  10
    Following a Rule: Waismann’s Variation.Mathieu Marion & Mitsuhiro Okada - 2019 - In Gabriele Mras, Paul Weingartner & Bernhard Ritter (eds.), Philosophy of Logic and Mathematics: Proceedings of the 41st International Ludwig Wittgenstein Symposium. Berlin, Boston: De Gruyter. pp. 359-374.
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  46.  22
    Fondements ou constructivité ?Mathieu Marion - 2004 - Philosophiques 31 (1):225-230.
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  47. ¸ Itemarioncohen1996.Mathieu Marion & RobertS Cohen (eds.) - 1996 - Springer Verlag.
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  48.  18
    Lucie Antoniol, Lire Ryle aujourd'hui. Aux sources de la philosophie analytique. De Boeck, Bruxelles, 1993, 133 p.Lucie Antoniol, Lire Ryle aujourd'hui. Aux sources de la philosophie analytique. De Boeck, Bruxelles, 1993, 133 p.Mathieu Marion - 1995 - Philosophiques 22 (2):518-522.
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  49. Operations and Numbers in the Tractatus.Mathieu Marion - 2000 - Wittgenstein-Studien 2:105-123.
     
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  50.  6
    [Omnibus Review].Mathieu Marion - 1998 - Journal of Symbolic Logic 63 (3):1177-1180.
    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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