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Denis Bonnay
Université Paris Nanterre
  1. Logicality and Invariance.Denis Bonnay - 2006 - Bulletin of Symbolic Logic 14 (1):29-68.
    What is a logical constant? The question is addressed in the tradition of Tarski's definition of logical operations as operations which are invariant under permutation. The paper introduces a general setting in which invariance criteria for logical operations can be compared and argues for invariance under potential isomorphism as the most natural characterization of logical operations.
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  2. Inexact Knowledge with Introspection.Denis Bonnay & Paul Égré - 2009 - Journal of Philosophical Logic 38 (2):179-227.
    This paper supersedes an ealier version, entitled "A Non-Standard Semantics for Inexact Knowledge with Introspection", which appeared in the Proceedings of "Rationality and Knowledge". The definition of token semantics, in particular, has been modified, both for the single- and the multi-agent case.
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  3.  48
    Compositionality Solves Carnap’s Problem.Denis Bonnay & Dag Westerståhl - 2016 - Erkenntnis 81 (4):721-739.
    The standard relation of logical consequence allows for non-standard interpretations of logical constants, as was shown early on by Carnap. But then how can we learn the interpretations of logical constants, if not from the rules which govern their use? Answers in the literature have mostly consisted in devising clever rule formats going beyond the familiar what follows from what. A more conservative answer is possible. We may be able to learn the correct interpretations from the standard rules, because the (...)
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  4. Vagueness, Uncertainty and Degrees of Clarity.Paul Égré & Denis Bonnay - 2010 - Synthese 174 (1):47 - 78.
    In this paper we compare different models of vagueness viewed as a specific form of subjective uncertainty in situations of imperfect discrimination. Our focus is on the logic of the operator “clearly” and on the problem of higher-order vagueness. We first examine the consequences of the notion of intransitivity of indiscriminability for higher-order vagueness, and compare several accounts of vagueness as inexact or imprecise knowledge, namely Williamson’s margin for error semantics, Halpern’s two-dimensional semantics, and the system we call Centered semantics. (...)
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  5.  12
    Invariance and Definability, with and Without Equality.Denis Bonnay & Fredrik Engström - 2018 - Notre Dame Journal of Formal Logic 59 (1):109-133.
    The dual character of invariance under transformations and definability by some operations has been used in classical works by, for example, Galois and Klein. Following Tarski, philosophers of logic have claimed that logical notions themselves could be characterized in terms of invariance. In this article, we generalize a correspondence due to Krasner between invariance under groups of permutations and definability in L∞∞ so as to cover the cases that are of interest in the logicality debates, getting McGee’s theorem about quantifiers (...)
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  6.  17
    Margins for Error in Context.Denis Bonnay & Paul Egré - 2008 - In G. Carpintero & M. Koelbel (eds.), Relative Truth. Oxford University Press. pp. 103--107.
  7.  53
    Consequence Mining: Constans Versus Consequence Relations.Denis Bonnay & Dag Westerståhl - 2012 - Journal of Philosophical Logic 41 (4):671-709.
    The standard semantic definition of consequence with respect to a selected set X of symbols, in terms of truth preservation under replacement (Bolzano) or reinterpretation (Tarski) of symbols outside X, yields a function mapping X to a consequence relation ⇒x. We investigate a function going in the other direction, thus extracting the constants of a given consequence relation, and we show that this function (a) retrieves the usual logical constants from the usual logical consequence relations, and (b) is an inverse (...)
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  8.  28
    Carnap's Criterion of Logicality.Denis Bonnay - 2009 - In Pierre Wagner (ed.), Carnap's Logical Syntax of Language. Palgrave-Macmillan.
    Providing a principled characterization of the distinction between logical and non-logical expressions is a longstanding issue in the philosophy of logic. In the Logical Syntax of Language, Carnap proposes a syntactic solution to this problem, which aims at grounding the claim that logic and mathematics are analytic. Roughly speaking, his idea is that logic and mathematics correspond to the largest part of science for which it is possible to completely specify by "syntactic" means which sentences are valid and which are (...)
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  9.  57
    Logical Constants, or How to Use Invariance in Order to Complete the Explication of Logical Consequence.Denis Bonnay - 2014 - Philosophy Compass 9 (1):54-65.
    The problem of logical constants consists in finding a principled way to draw the line between those expressions of a language that are logical and those that are not. The criterion of invariance under permutation, attributed to Tarski, is probably the most common answer to this problem, at least within the semantic tradition. However, as the received view on the matter, it has recently come under heavy attack. Does this mean that the criterion should be amended, or maybe even that (...)
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  10.  13
    Tonk Strikes Back.Denis Bonnay & Benjamin Simmenauer - 2005 - Australasian Journal of Logic 3:33-44.
    What is a logical constant? In which terms should we characterize the meaning of logical words like “and”, “or”, “implies”? An attractive answer is: in terms of their inferential roles, i.e. in terms of the role they play in building inferences.More precisely, we favor an approach, going back to Dosen and Sambin, in which the inferential role of a logical constant is captured by a double line rule which introduces it as reflecting structural links.Rule-based characterizations of logical constants are subject (...)
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  11.  17
    Modal Logic and Invariance.Johan Van Benthem & Denis Bonnay - 2008 - Journal of Applied Non-Classical Logics 18 (2-3):153-173.
  12.  6
    Preuves et jeux sémantiques.Denis Bonnay - 2004 - Philosophia Scientiae 8 (2):105-123.
    Hintikka makes a distinction between two kinds of games: truthconstituting games and truth-seeking games. His well-known game-theoretical semantics for first-order classical logic and its independence-friendly extension belongs to the first class of games. In order to ground Hintikka’s claim that truth-constituting games are genuine verification and falsification games that make explicit the language games underlying the use of logical constants, it would be desirable to establish a substantial link between these two kinds of games. Adapting a result from Thierry Coquand, (...)
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  13.  17
    Vagueness and Introspection.Denis Bonnay & Paul Egré - unknown
    Version of March 05, 2007. An extended abstract of the paper appeared in the Proceedings of the 2006 Prague Colloquium on "Reasoning about Vagueness and Uncertainty".
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  14.  15
    A Non-Standard Semantics for Inexact Knowledge with Introspection.Denis Bonnay & Paul Egré - unknown
    Forthcoming in S. Artemov and R. Parikh, Proceedings of the ESSLLI 2006 Workshop on Rationality and Knowledge.
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  15.  3
    Weighted Averaging, Jeffrey Conditioning and Invariance.Denis Bonnay & Mikaël Cozic - 2018 - Theory and Decision 85 (1):21-39.
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  16.  1
    Preuves Et Jeux Sémantiques.Denis Bonnay - 2004 - Philosophia Scientae 8:105-123.
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  17.  29
    Which Logic for the Radical Anti-Realist ?Denis Bonnay & Mikaël Cozic - unknown
    Since the ground-breaking contributions of M. Dummett (Dummett 1978), it is widely recognized that anti-realist principles have a critical impact on the choice of logic. Dummett argued that classical logic does not satisfy the requirements of such principles but that intuitionistic logic does. Some philosophers have adopted a more radical stance and argued for a more important departure from classical logic on the basis of similar intuitions. In particular, J. Dubucs and M. Marion (?) and (Dubucs 2002) have recently argued (...)
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  18.  18
    Metacognitive Perspectives on Unawareness and Uncertainty.Paul Egré & Denis Bonnay - 2012 - In Michael Beran, Johannes Brandl, Josef Perner & Joëlle Proust (eds.), The Foundations of Metacognition. Oxford University Press. pp. 322.
  19.  12
    L'objet propre de la logique.Denis Bonnay - 2011 - Les Etudes Philosophiques 97 (2):259.
    La logique est une théorie normative du raisonnement, qui vise à caractériser la classe des arguments déductifs valides en déterminant si la conclusion est conséquence logique des prémisses. Mais, selon la définition sémantique devenue classique, la caractérisation de la relation de conséquence logique dépend elle-même de la caractérisation de la classe des mots logiques, ces mots qui, comme « non », « et », « tous » ou « certains » servent à articuler nos raisonnements. J’examine dans cet article à (...)
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  20.  10
    Independence and Games.Denis Bonnay - 2005 - Philosophia Scientiae 9 (2):295-304.
    Hintikka and Sandu have developed IF logic as a genuine alternative to classical first-order logic : liberalizing dependence schemas between quantifiers, IF would carry out all the ideas already underlying classical logic. But they are alternatives to Hintikka’s game-theoretic approach; one could use instead Henkin quantifiers. We will present here some arguments of both technical and philosophical nature in favor of IF. We will show that its notion of independence, once extended to connectives, can indeed claim to be fully general, (...)
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  21.  7
    La logique sauvage de Quine à Lévi-Strauss.Denis Bonnay & Sandra Laugier - 2003 - Archives de Philosophie 1:49-72.
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  22.  5
    Compositionality and Molecularism.Denis Bonnay - 2005 - In Gerhard Schurz, Edouard Machery & Markus Werning (eds.), Applications to Linguistics, Psychology and Neuroscience. De Gruyter. pp. 41-62.
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  23.  5
    Les avatars quiniens de l'analyticité.Denis Bonnay - 2008 - Archives de Philosophie 4 (4):549-562.
    Quine est célèbre pour sa critique de la notion d’analyticité, mais il en a également proposé des substituts définissables en termes behavioristes. Cet article examine la question de savoir si de tels substituts peuvent ou non jouer un rôle épistémologique, en les comparant avec des tentatives récentes de réhabilitation de l’a priori. Il apparaît que la caractérisation de ce qu’est une définition acceptable en termes behavioristes est cruciale, et qu’un élargissement de la classe des comportements linguistiques pertinents peut ouvrir la (...)
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  24. The Philosophy of Science. A Companion.Anouk Barberousse, Denis Bonnay & Mikael Cozic (eds.) - 2018 - Oxford University Press.
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  25. Independence and Games.Denis Bonnay - 2005 - Philosophia Scientae 9:295-304.
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  26. Textes Clés de Philosophie de la Logique: Conséquence, Preuve, Vérité.Denis Bonnay & Mickael Cozic - 2009 - Vrin.
    La logique est un compagnon naturel de la philosophie. Qu’est-ce qu’un raisonnement correct? Qu’est-ce qu’une preuve? Peut-on définir le concept de vérité? Que faire face aux paradoxes? Ces questions sont débattues par les philosophes depuis l’Antiquité; et la logique moderne, usant de langages formels, développe une analyse rigoureuse de ces concepts les plus fondamentaux.Les onze textes classiques réunis ici proposent un retour réflexif sur cette discipline et sur la signification philosophique de ses achèvements. Ils s’adressent à quiconque souhaite prendre la (...)
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  27. Willard von Orman Quine.Denis Bonnay, Sandra Laugier, Layla RAÏD, Fabrice Pataut & Roger Schmit - 2008 - Archives de Philosophie 71 (4).
     
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  28. Groundedness, Truth and Dependence.Floris Tijmen van Vugt & Denis Bonnay - 2015 - In Kentaro Fujimoto, José Martínez Fernández, Henri Galinon & Theodora Achourioti (eds.), Unifying the Philosophy of Truth. Springer Verlag.
     
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