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Profile: Denis Bonnay (Université Paris X)
  1. Denis Bonnay (2014). Logical Constants, or How to Use Invariance in Order to Complete the Explication of Logical Consequence. 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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  2. Denis Bonnay & Mikaël Cozic, Which Logic for the Radical Anti-Realist ?
    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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  3. Denis Bonnay & Dag Westerståhl (2012). Consequence Mining: Constans Versus Consequence Relations. 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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  4. Paul Egré & Denis Bonnay (2012). Metacognitive Perspectives on Unawareness and Uncertainty. In Michael Beran, Johannes Brandl, Josef Perner & Joëlle Proust (eds.), The Foundations of Metacognition. Oxford University Press. 322.
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  5. Denis Bonnay (2011). L'objet propre de la logique. Les Etudes Philosophiques 2 (2):259-280.
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  6. Paul Égré & Denis Bonnay (2010). Vagueness, Uncertainty and Degrees of Clarity. 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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  7. Denis Bonnay (2009). Carnap's Criterion of Logicality. 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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  8. Denis Bonnay & Paul Égré (2009). Inexact Knowledge with Introspection. Journal of Philosophical Logic 38 (2):179 - 227.
    Standard Kripke models are inadequate to model situations of inexact knowledge with introspection, since positive and negative introspection force the relation of epistemic indiscernibility to be transitive and euclidean. Correlatively, Williamson’s margin for error semantics for inexact knowledge invalidates axioms 4 and 5. We present a new semantics for modal logic which is shown to be complete for K45, without constraining the accessibility relation to be transitive or euclidean. The semantics corresponds to a system of modular knowledge, in which iterated (...)
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  9. Denis Bonnay (2008). Les avatars quiniens de l'analyticité. Archives de Philosophie 4:549-562.
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  10. Denis Bonnay & Paul Egré (2008). Margins for Error in Context. In G. Carpintero & M. Koelbel (eds.), Relative Truth. Oxford University Press. 103--107.
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  11. Denis Bonnay, Sandra Laugier, Layla RAÏD, Fabrice Pataut & Roger Schmit (2008). Willard von Orman Quine. Archives de Philosophie 71 (4).
     
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  12. Johan Van Benthem & Denis Bonnay (2008). Modal Logic and Invariance. Journal of Applied Non-Classical Logics 18 (2-3):153-173.
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  13. Denis Bonnay (2006). Logicality and Invariance. 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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  14. Denis Bonnay (2005). Independence and Games. Philosophia Scientiae 9:295-304.
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  15. Denis Bonnay & Benjamin Simmenauer (2005). Tonk Strikes Back. Australasian Journal of Logic 3:33-44.
    Bonnay and I propose a local procedure to define logical constants inside a sequent calculus framework, BL. In Tonk Strikes Back, we have proved that this procedure can be applied to a system of inference rules in order to banish the 'tonk'-like pathological connectives from it.
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  16. Denis Bonnay (2004). Preuves Et Jeux Sémantiques. Philosophia Scientiae 8 (2):105-123.
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  17. Denis Bonnay & Sandra Laugier (2003). La logique sauvage de Quine à Lévi-Strauss. Archives de Philosophie 1:49-72.
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