Results for 'S. Gandon'

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  1.  39
    Stephen Pollard ed. Essays on the Foundations of Mathematics by Moritz Pasch. The Western Ontario Series in Philosophy of Science; 83. Dordrecht: Springer, 2010. ISBN 978-90-481-9415-5 . Pp. xi + 245: Critical Studies/Book Reviews. [REVIEW]S. Gandon - 2011 - Philosophia Mathematica 19 (3):354-359.
    Moritz Pasch is usually seen today as a precursor of Hilbert. The Vorlesungen über neuere Geometrie is indeed one of the few works Hilbert referred to in the Grundlagen. Unfortunately, Hilbert's epoch-making book has eclipsed Pasch's achievement; so much so that Pasch's Vorlesungen has not been yet translated into English. But as Pollard emphasizes, it would be a mistake to reduce Pasch's research to his work on the foundations of geometry. Pasch published another book on the foundations of real analysis (...)
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  2.  56
    Variable, Structure, and Restricted Generality.S. Gandon - 2013 - Philosophia Mathematica 21 (2):200-219.
    From 1905–1908 onward, Russell thought that his new ‘substitutional theory’ provided him with the right framework to resolve the set-theoretic paradoxes. Even if he did not finally retain this resolution, the substitutional strategy was instrumental in the development of his thought. The aim of this paper is not historical, however. It is to show that Russell's substitutional insight can shed new light on current issues in philosophy of mathematics. After having briefly expounded Russell's key notion of a ‘structured variable’, I (...)
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  3.  32
    Introduction: Logicism Today.S. Gandon & B. Halimi - 2013 - Philosophia Mathematica 21 (2):129-132.
  4. The Semantic Web: ESWC 2015 Satellite Events. ESWC 2015. Lecture Notes in Computer Science.F. Gandon, C. Guéret, S. Vilata, J. Breslin, C. Faron-Zucker & A. Zimmermann (eds.) - 2015
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  5.  30
    Rota's Philosophy in its Mathematical Context.Sébastien Gandon - 2016 - Philosophia Mathematica 24 (2):145-184.
    The goal of this paper is to connect Rota's discussion of the Husserlian notion of Fundierung with Rota's project of giving combinatorics a foundation in his 1964 paper ‘On the foundations of combinatorial theory I’. Section 2 gives the basic tenets of this seminal paper. Sections 3 and 4 spell out the connections made there between Rota's philosophical writings and his mathematical achievements. Section 5 shows how these two developments fit into Rota's analysis of the place of combinatorics in mathematics.
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  6. Which Arithmetization for Which Logicism? Russell on Relations and Quantities in The Principles of Mathematics.Sébastien Gandon - 2008 - History and Philosophy of Logic 29 (1):1-30.
    This article aims first at showing that Russell's general doctrine according to which all mathematics is deducible ‘by logical principles from logical principles’ does not require a preliminary reduction of all mathematics to arithmetic. In the Principles, mechanics (part VII), geometry (part VI), analysis (part IV–V) and magnitude theory (part III) are to be all directly derived from the theory of relations, without being first reduced to arithmetic (part II). The epistemological importance of this point cannot be overestimated: Russell's logicism (...)
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  7.  17
    Introduction to Jean Nicod, "The Philosophical Tendencies of Mr. Bertrand Russell".Roseline Adzogble & Sébastien Gandon - 2021 - Russell: The Journal of Bertrand Russell Studies 41 (1):45-61.
    Jean Nicod, born in 1893, died far too young in 1924. He is remembered today as one of the foreign disciples (among them Ludwig Wittgenstein and Norbert Wiener) attracted to Cambridge by Russell after the publication of the Principia. We publish here a translation of “Les tendances philosophiques de M. Bertrand Russell”, which appeared in the Revue de Métaphysique et de Morale in 1922. The article is testimony not only to Nicod’s philosophical talents, but also of how Russell’s philosophy could (...)
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  8.  8
    Préface.Gianluca Gandon Longa - 2021 - Philosophia Scientiae 25:5-7.
    Plutarque nous raconte [VP I.1, 12.4.4–5] que le grand Varron s’adressa un jour à un certain Tarutius, connu pour ses talents de mathématicien et d’astrologue, pour déterminer le jour et l’heure de la naissance de Romulus « de la même manière que l’on tire l’analyse des problèmes géométriques» [ὥσπερ αἱ τῶν γεωμετρικῶν ὑφηγοῦνται προβλημάτων ἀναλύσεις]. Or, puisque dans la science astrologique ancienne on pouvait prédire, en prenant le jour et l’heure de la naissance d’un homme, ce que lui ré...
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  9.  7
    Interpretation, Logic and Philosophy: Jean Nicod’s Geometry in the Sensible World.Sébastien Gandon - 2023 - Review of Symbolic Logic 16 (4):1080-1109.
    Jean Nicod (1893–1924) is a French philosopher and logician who worked with Russell during the First World War. His PhD, with a preface from Russell, was published under the title La géométrie dans le monde sensible in 1924, the year of his untimely death. The book did not have the impact he deserved. In this paper, I discuss the methodological aspect of Nicod’s approach. My aim is twofold. I would first like to show that Nicod’s definition of various notions of (...)
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  10.  13
    Interpretation, Logic and Philosophy: Jean Nicod’s Geometry in the Sensible World.Sébastien Gandon - 2021 - Review of Symbolic Logic:1-30.
    Jean Nicod (1893–1924) is a French philosopher and logician who worked with Russell during the First World War. His PhD, with a preface from Russell, was published under the titleLa géométrie dans le monde sensiblein 1924, the year of his untimely death. The book did not have the impact he deserved. In this paper, I discuss the methodological aspect of Nicod’s approach. My aim is twofold. I would first like to show that Nicod’s definition of various notions of equivalence between (...)
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  11.  6
    Le problème de la définition de l’aire d’une surface gauche: Peano et Lebesgue.Yvette Perrin & Sébastien Gandon - 2009 - Archive for History of Exact Sciences 63 (6).
    At the beginning of the 1890s, Schwarz and Peano (independently of each other) showed that Serret’s definition of the area of a surface was flawed. This paper first aims at describing the various methods that the mathematicians have used for correcting Serret’s reasoning; its second goal is to compare and to present more in detail two solutions: Lebesgue’s notorious construction and Peano’s definition.
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  12.  8
    Jean Nicod: Familial Background and Pacifist Commitment.Sébastien Gandon - 2023 - Russell: The Journal of Bertrand Russell Studies 43 (1):66-82.
    This article has two purposes: first, to describe some archival discoveries about Nicod’s family background, academic development and political life; and second, to publish and comment on a newly discovered article by Nicod about Russell. This article acclaims not only Russell’s achievements in logic and philosophy—as one might expect from such a devoted protégé as Nicod—but also (albeit only in glimpses permitted by France’s wartime censorship) his anti-war politics and writings. As the reader will realize, the two objectives are connected: (...)
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  13. Toward a topic-specific logicism? Russell's theory of geometry in the principles of mathematics.Sébastien Gandon - 2009 - Philosophia Mathematica 17 (1):35-72.
    Russell's philosophy is rightly described as a programme of reduction of mathematics to logic. Now the theory of geometry developed in 1903 does not fit this picture well, since it is deeply rooted in the purely synthetic projective approach, which conflicts with all the endeavours to reduce geometry to analytical geometry. The first goal of this paper is to present an overview of this conception. The second aim is more far-reaching. The fact that such a theory of geometry was sustained (...)
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  14.  56
    Pasch entre Klein et Peano.Sébastien Gandon - 2005 - Dialogue 44 (4):653-692.
    RÉSUMÉ: Pasch est généralement considéré comme le premier à avoir proposé une axiomatisation de la géométrie. Mais ses Vorlesungen über neure Geometrie (1882) contiennent plusieurs éléments étrangers au paradigme hilbertien. Pasch soutient ainsi que la « géométrie élémentaire », dont il propose une axiomatisation complète, est une théorie empiriquement vraie. Les commentateurs considèrent généralement les différences entre la méthode de Pasch et celle qui deviendra standard après Hilbert comme autant de défauts affectant une pensée encore inaboutie. Notre but consiste au (...)
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  15.  84
    Sidgwick’s Legacy? Russell and Moore on Meaning and Philosophical Inquiry.Sébastien Gandon - 2017 - Journal for the History of Analytical Philosophy 6 (1).
    James Levine has recently argued that there is a tension between Russell’s Moorean semantical framework and Russell’s Peano-inspired analytical practice. According to Levine, this discrepancy runs deep in Russell’s thought from 1900 to 1918, and underlies many of the doctrinal changes occurring during this period. In this paper, I suggest that, contrary to what Levine claims, there is no incompatibility between Moore’s theory of meaning and the idea of informative conceptual analysis. I show this by relating Moore’s view of meaning (...)
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  16.  15
    Sheldon Smith on Newton’s Derivative: Retrospective Assignation, Externalism and the History of Mathematics.Sébastien Gandon - 2023 - Topoi 42 (1):333-344.
    To illustrate the view that a speaker can have a partial understanding of a concept, Burge uses the example of Leibniz’s and Newton’s understanding of the concept of derivative. In a recent article, Sheldon Smith criticizes this example and maintains that Newton’s and Leibniz’s use of their derivative symbols does not univocally determine their references. The present article aims at challenging Smith’s analysis. It first shows that Smith misconstrues Burge’s position. It second suggests that the philosophical lessons one should draw (...)
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  17.  5
    Wittgenstein’s Color Exclusion and Johnson’s Determinable.Sébastien Gandon - 2016 - In Sorin Costreie (ed.), Early Analytic Philosophy – New Perspectives on the Tradition. Cham, Switzerland: Springer Verlag.
    The paper aims at comparing Wittgenstein’s discussion of color exclusion in his to Johnson’s doctrine of determinable and determinate expounded in his. I first summarize Wittgenstein’s developments about the incompatibility of elementary propositions and about the logic of color statements. In the second part, I present and discuss Johnson’s doctrine in relation to Wittgenstein’s development. In a third conclusive moment, drawing on a early work of Prior, I argue that the distinction made by Wittgenstein and Johnson between predication and determination (...)
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  18.  77
    “Die Maschine als Symbol ihrer Wirkungsweise”: Wittgenstein, Reuleaux and Kinematics.Sébastien Gandon - 2019 - Journal for the History of Analytical Philosophy 7 (7).
    In Philosophical Investigations 193–94, Wittgenstein draws a notorious analogy between the working of a machine and the application of a rule. According to the view of rule-following that Wittgenstein is criticizing, the future applications of a rule are completely determined by the rule itself, as the movements of the machine components are completely determined by the machine configuration. On what conception of the machine is such an analogy based? In this paper, I intend to show that Wittgenstein relied on quite (...)
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  19.  15
    « To bring Dedekind’s research into its proper relation to general metaphysical inquiry » : Royce et Russell, critiques de Bradley.Sébastien Gandon - 2009 - Philosophiques 36 (1):83-108.
    Dans l'Appendice au livre I de The World and the Individual (1898), le philosophe américain Josiah Royce développe, en se fondant sur Was sind und was sollen die Zahlen ? de Dedekind, une critique détaillée du livre de Bradley Appearance and Reality. Se concentrant sur le fameux § 66, Royce maintient que la théorie de Dedekind peut être vue comme l'accomplissement du mouvement de pensée inauguré par Fichte et Hegel : le 'Soi idéal ' est infini et l'arithmétique est la (...)
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  20.  12
    Some Remarks about Russellian Incomplete Symbols.Sébastien Gandön - 2007 - Russell: The Journal of Bertrand Russell Studies 27 (1):106-124.
    Abstract:Russellian incomplete symbols are usually conceived as an analytical residue—as what remains of the would-be entities when properly analyzed. This article aims to reverse the approach in raising another question: what, if any, does the incomplete symbol contribute to the completely analyzed language? I will first show that, from a technical point of view, there is no difference between the way Russell defines his denoting phrases in “On Denoting” and the way Frege defines his second-order concepts. But I will secondly (...)
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  21.  5
    De dangereux édifices: Saussure lecteur de Lucrèce: les cahiers d'anagrammes consacrés au "De rerum natura".Francis Gandon - 2002 - Louvain: Editions Peeters.
    Ce livre retrace le cheminement du chercheur: le journal de ses intuitions, ses espoirs, ses doutes, ses certitudes, - jusqu'au silence d'avril 1908. Il replace la quete dans l'activite d'ensemble du savant: monographies, cours de linguistique generale, travaux de mythographie. Il la situe dans un paysage intellectuel scrupuleusement balise. Par dela des considerations d'une technicite souvent rebutante, et non exemptes de contradictions (parfois flagrantes), il s'attache a suivre le fil d'une quete autant mystique que linguistique. Par surcroit il donne a (...)
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  22.  18
    Logic as Universal Science: Russell's Early Logicism and its Philosophical Context, by Anssi Korhonen.Sebastien Gandon - 2014 - Mind 123 (490):619-623.
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  23.  8
    A Relational Dispute [review of Stewart Candlish, The Russell/Bradley Dispute and Its Significance for Twentieth-Century Philosophy ].Sébastien Gandon - 2008 - Russell: The Journal of Bertrand Russell Studies 28 (2):171-178.
    In lieu of an abstract, here is a brief excerpt of the content:January 28, 2009 (12:22 pm) G:\WPData\TYPE2802\russell 28,2 051red.wpd russell: the Journal of Bertrand Russell Studies n.s. 28 (winter 2008–09): 171–90 The Bertrand Russell Research Centre, McMaster U. issn 0036-01631; online 1913-8032 eviews A RELATIONAL DISPUTE Sébastien Gandon iufz/zphier / U. Blaise Pascal 63000 Clermont-Ferrand, France [email protected] Stewart Candlish. The Russell/Bradley Dispute and Its SigniWcance for TwentiethCentury Philosophy. Basingstoke and New York: Palgrave Macmillan, 2007. Pp. xix, 235. isbn (...)
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  24.  33
    The Logical Must: Wittgensein on Logic.Sébastien Gandon - 2015 - History and Philosophy of Logic 36 (4):395-397.
    Penelope Maddy's latest book, devoted to Wittgenstein's early and late philosophy of logic, can be seen as an extension of Maddy 2007, in which the thoughts of Descartes, Kant (and Car...
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  25.  7
    Infinity and the Self: Royce on Dedekind.Sébastien Gandon - 2021 - Hopos: The Journal of the International Society for the History of Philosophy of Science 11 (2):354-382.
    In Die Zahlen (1888), Dedekind defines an infinite set as a set that is isomorphic with one of its proper parts. In The World and the Individual (1900), the American philosopher Josiah Royce relates Dedekind’s notion to Fichte’s and Hegel’s concept of Self defined as an entity that reflects itself into itself. The first aim of this article is to explain Royce’s analysis and to put it in its proper context, that of a critique of Bradley’s mystical idealism. The second (...)
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  26.  5
    Textes Cles de Philosophie Des Mathematiques: Vol. 1: Ontologie, Verite Et Fondements.Sebastien Gandon & Ivahn Smadja - 2014 - Librarie Philosophique J. Vrin.
    English summary: This volume offers French readers important texts of modern philosophical mathematics, addressing in particular ontological questions and others on mathematical objects, how to demonstrate the need for mathematical truths, and how to explain that mathematics apply to the real world. French description: Le compagnonnage entre la philosophie et les mathematiques ne date pas d'hier. Mais l'emergence des nouvelles logiques, au debut du XXe siecle, a profondement modifie la forme des interactions entre les deux disciplines, suscitant de nouvelles interrogations (...)
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  27.  46
    Wittgenstein et le logicisme de Russell : Remarques critiques sur « A Mathematical Proof Must be Surveyable » de F. Mühlhölzer.Sébastien Gandon - 2012 - Philosophiques 39 (1):163-187.
    Ce texte discute certaines conclusions d’un article récent de F. Mülhölzer et vise à montrer que le logicisme russellien a les moyens de résister à la critique que Wittgenstein lui adresse dans la partie III des Remarques sur les fondements desmathématiques.This paper discusses some conclusions of a recent article from F.Mülhölzer. It aims at showing that Russell’s logicism has the means to overcome the criticisms Wittgenstein expounded in Remarks on the Foundations of Mathematics, part III.
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  28. S. GANDON Logique et langage. Etudes sur le premier Wittgenstein.J. -C. Dumoncel - 2003 - History and Philosophy of Logic 24 (1):81-84.
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  29. Sébastien Gandon. Russell's Unknown Logicism: A Study in the History and Philosophy of Mathematics. New York: Palgrave Macmillan, 2012. ISBN 978-0-230-57699-5. Pp. xiv + 266. [REVIEW]A. Urquhart - 2013 - Philosophia Mathematica 21 (3):399-402.
  30.  16
    Uncovering the Mathematics behind Russell's Philosophy of Mathematics [review of Sébastien Gandon, Russell’s Unknown Logicism ].Graham Stevens - 2014 - Russell: The Journal of Bertrand Russell Studies 34 (1).
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  31. Quelle philosophie pour quelle mathématique?Sébastien Gandon - 2013 - Archives de Philosophie 76 (2):197-216.
  32.  15
    Russell and the Neo-Logicists.Sébastien Gandon - 2017 - Annals of the Japan Association for Philosophy of Science 25:1-21.
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  33.  7
    Logique et langage: études sur le premier Wittgenstein.Sébastien Gandon - 2002 - Paris: Vrin.
    Le Tractatus Logico-Philosophicus, publie en 1921, est la premiere oeuvre de Wittgenstein. L'ouvrage, unique par sa forme et son contenu, a ete souvent traite de meteorite et tenu pour l'oeuvre d'un genie inclassable - maniere de le mettre a l'ecart a la fois de la pensee du second Wittgenstein et des grands courants philosophiques de l'epoque. Le present livre a pour ambition de retablir l'objet du Tractatus, celui d'une comparaison et d'une discussion attentive des travaux de Russell et de Frege. (...)
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  34.  96
    Emily Rolfe Grosholz. Starry Reckoning: Reference and Analysis in Mathematics and Cosmology.Sébastien Gandon - 2017 - Philosophia Mathematica 25 (3):419-422.
    © The Authors [2017]. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected] Grosholz is interested in the growth of knowledge: what happens when reasoning not only orders what we already know, but adds to what we know? In her previous works, especially in her [2007], Grosholz insisted on the fact that working scientists and mathematicians, when they add to what we know, often combine different ‘modes of representation’, taking advantage of the ambiguity that arises when (...)
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  35.  40
    Algèbre, géomètrie et loi d'intensité.Sébastien Gandon - 2005 - Chromatikon 1:113-124.
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  36.  17
    Algèbre, géomètrie et loi d'intensité.Sébastien Gandon - 2005 - Chromatikon 1:113-124.
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  37.  4
    et les Notes item.Francis Gandon - 1997 - Semiotica 115 (1/2):173-189.
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  38.  25
    Grandeurs, vecteurs et relations chez Russell (1897-1903).Sébastien Gandon - 2006 - Philosophiques 33 (2):333-361.
    La théorie russellienne des relations est ordinairement conçue comme le résultat d'une réflexion logique et ontologique sur l'ordre et l'asymétrie. Le présent article vise à présenter une autre généalogie, centrée sur les concepts de grandeur et de vecteur. Nous montrons en premier lieu que la thèse de l'irréductibilité des relations est avancée pour la première fois en 1897, à l'occasion d'une reformulation de la dialectique hégélienne de la quantité. Nous soulignons, en second lieu, que la notion de grandeur fait, autour (...)
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  39.  6
    Identité des mots, identité des diagrammes : une approche kaplanienne?Sébastien Gandon & Gianluca Longa - 2021 - Cahiers Philosophiques 163 (4):61-80.
    Les conditions d’identité jouent un rôle fondamental dans le débat sur le statut épistémologique des diagrammes. À cet égard, les détracteurs comme les partisans de leur utilisation en tant que moyens de preuve partagent un même présupposé, qui consiste à étendre aux diagrammes la distinction entre type et token, normalement appliquée aux mots. Dans cet article, nous entendons discuter ce présupposé. Dans la première partie, nous montrerons que la distinction entre type et token, en tant que critère d’identité des mots, (...)
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  40.  47
    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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  41.  5
    Le dernier Saussure: Double articulation, anagrammes, brahmanisme.Francis Gandon - 2001 - Semiotica 2001 (133).
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  42.  5
    La notion dimperceptible et sa double nature chez Saussure.Francis Gandon - 2003 - Semiotica 2003 (145).
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  43.  6
    La psychose du texte: Duel analytique et théorie du texte.Francis Gandon - 1986 - Semiotica 58 (3-4):287-314.
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  44.  92
    La théorie des rapports chez Augustus De Morgan.Sébastien Gandon - 2009 - Revue d'Histoire des Sciences 62 (1):285-311.
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  45.  5
    L’ambivalence théorique dans la recherche saussurienne sur la légende et les Notes item.Francis Gandon - 1997 - Semiotica 115 (1-2).
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  46.  9
    Présentation.Sébastien Gandon & Ivahn Smadja - 2011 - Les Etudes Philosophiques 97 (2):147.
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  47. Principia Mathematica, Part VI: Russell and Whitehead on Quantity.Sebastien Gandon - 2011 - Logique Et Analyse 214:225-247.
     
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  48. Quantity and number in Principia mathematica : a plea for an ontological interpretation of the application constraint.Sébastien Gandon - 2013 - In Nicholas Griffin & Bernard Linsky (eds.), The Palgrave Centenary Companion to Principia Mathematica. London and Basingstoke: Palgrave-Macmillan.
  49.  7
    Qui a peur de Saussure?Francis Gandon - 2010 - Semiotica 2010 (181):313-315.
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  50.  7
    Renouveaux de la notion russellienne d’acquaintance.Sébastien Gandon & Denis Perrin - 2019 - Les Etudes Philosophiques 130 (3):347-349.
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