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Fabien Schang
Universidade Estadual De Maringá
  1.  78
    The Cube, the Square and the Problem of Existential Import.Saloua Chatti & Fabien Schang - 2013 - History and Philosophy of Logic 34 (2):101-132.
    We re-examine the problem of existential import by using classical predicate logic. Our problem is: How to distribute the existential import among the quantified propositions in order for all the relations of the logical square to be valid? After defining existential import and scrutinizing the available solutions, we distinguish between three possible cases: explicit import, implicit non-import, explicit negative import and formalize the propositions accordingly. Then, we examine the 16 combinations between the 8 propositions having the first two kinds of (...)
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  2. Beyond the Fregean Myth: The Value of Logical Values.Fabien Schang - 2010 - In Piotr Stalmaszczyk (ed.), Objects of Inquiry in Philosophy of Language and Linguistics. Frankfurt: Ontos Verlag. pp. 245--260.
    One of the most prominent myths in analytic philosophy is the so- called “Fregean Axiom”, according to which the reference of a sentence is a truth value. In contrast to this referential semantics, a use-based formal semantics will be constructed in which the logical value of a sentence is not its putative referent but the information it conveys. Let us call by “Question Answer Semantics” (thereafter: QAS) the corresponding formal semantics: a non-Fregean many-valued logic, where the meaning of any sentence (...)
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  3.  6
    Oppositions and Opposites.Fabien Schang - 2012 - In J.-Y. Beziau & Dale Jacquette (eds.), Around and Beyond the Square of Opposition. Bâle, Suisse: Birkhäuser. pp. 147--173.
    A formal theory of oppositions and opposites is proposed on the basis of a non- Fregean semantics, where opposites are negation-forming operators that shed some new light on the connection between opposition and negation. The paper proceeds as follows. After recalling the historical background, oppositions and opposites are compared from a mathematical perspective: the first occurs as a relation, the second as a function. Then the main point of the paper appears with a calculus of oppositions, by means of a (...)
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  4.  6
    Abstract Logic of Oppositions.Fabien Schang - 2012 - Logic and Logical Philosophy 21 (4):415--438.
    A general theory of logical oppositions is proposed by abstracting these from the Aristotelian background of quantified sentences. Opposition is a relation that goes beyond incompatibility (not being true together), and a question-answer semantics is devised to investigate the features of oppositions and opposites within a functional calculus. Finally, several theoretical problems about its applicability are considered.
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  5.  18
    Is ‘No’ a Force-Indicator? Yes, Sooner or Later!Fabien Schang & James Trafford - 2017 - Logica Universalis 11 (2):225-251.
    This paper discusses the philosophical and logical motivations for rejectivism, primarily by considering a dialogical approach to logic, which is formalized in a Question–Answer Semantics. We develop a generalized account of rejectivism through close consideration of Mark Textor's arguments against rejectivism that the negative expression ‘No’ is never used as an act of rejection and is equivalent with a negative sentence. In doing so, we also shed light upon well-known issues regarding the supposed non-embeddability and non-iterability of force indicators.
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  6.  7
    The Logical Burdens of Proof. Assertion and Hypothesis.Daniele Chiffi & Fabien Schang - 2017 - Logic and Logical Philosophy 26 (4):1-22.
    The paper proposes two logical analyses of (the norms of) justification. In a first, realist-minded case, truth is logically independent from justification and leads to a pragmatic logic LP including two epistemic and pragmatic operators, namely, assertion and hypothesis. In a second, antirealist-minded case, truth is not logically independent from justification and results in two logical systems of information and justification: AR4 and AR4¢, respectively, provided with a question-answer semantics. The latter proposes many more epistemic agents, each corresponding to a (...)
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  7.  25
    Quine l’extensionaliste. Entre naturalisme et esthétisme.Fabien Schang - 2005 - Philosophia Scientiae 9 (2):279-293.
    La position résolument extensionaliste de Quine a été appuyée par des arguments de nature différente, dans ses multiples articles destinés à rejeter le projet de logique modale. On peut classer ces arguments en trois catégories : un argument naturaliste, où l’auteur tente de baser le langage scientifique sur une notation tâchée de décrire la “structure ultime de la réalité” ; un argument esthétique, où Quine fait allusion à des raisons de clarté et d’efficacité démonstrative pour privilégier la théorie des fonctions (...)
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  8.  21
    Two Indian Dialectical Logics: Saptabhangi and Catuskoti.Fabien Schang - 2010 - Journal of the Indian Council of Philosophical Research 27 (1):45-75.
    A rational interpretation is proposed for two ancient Indian logics: the Jaina saptabhaṅgī, and the Mādhyamika catuṣkoṭi. It is argued that the irrationality currently imputed to these logics relies upon some philosophical preconceptions inherited from Aristotelian metaphysics. This misunderstanding can be corrected in two steps: by recalling their assumptions about truth; by reconstructing their ensuing theory of judgment within a common conceptual framework.
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  9.  4
    Non-Epicurean Desires.Fabien Schang - 2016 - Filosofia Unisinos 17 (1):63-68.
    In this paper, it is argued that there can be necessary and non-natural desires. After a discussion about what seems wrong with such desires, Epicurus’ classification of desires is treated similarly to Kripke’s treatment of the Kantian table of judgments. A sample of three cases is suggested to make this point.
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  10.  6
    MacColl’s Modes of Modalities.Fabien Schang - 2011 - Philosophia Scientiae 15:149-188.
    Hugh MacColl is commonly seen as a pioneer of modal and many-valued logic, given his introduction of modalities that go beyond plain truth and falsehood. But a closer examination shows that such a legacy is debatable and should take into account the way in which these modalities proceeded. We argue that, while MacColl devised a modal logic in the broad sense of the word, he did not give rise to a many-valued logic in the strict sense. Rather, his logic is (...)
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  11.  11
    A 4-Valued Logic of Strong Conditional.Fabien Schang - 2018 - South American Journal of Logic 3 (1):59-86.
    How to say no less, no more about conditional than what is needed? From a logical analysis of necessary and sufficient conditions (Section 1), we argue that a stronger account of conditional can be obtained in two steps: firstly, by reminding its historical roots inside modal logic and set-theory (Section 2); secondly, by revising the meaning of logical values, thereby getting rid of the paradoxes of material implication whilst showing the bivalent roots of conditional as a speech-act based on affirmations (...)
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  12.  13
    Relative Charity.Fabien Schang - 2009 - Revista Brasileira de Filosofia 233:159-172.
    Our aim is to propose a non-referential semantics for the principle of logical charity: neither logical universalism (one logic, one way of thinking), nor logical relativism (several logics, several ways of thinking) afford an adequate conceptual framework to interpret the meaning of any speech act. But neither of them is totally wrong, either. The point is to know to which extent each of these views is partly right, thus leading to a more consensual but paradoxical-sounding "relative principle of charity". After (...)
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  13.  5
    Règles de logique, Règles de discours. La pragmatique de la connaissance selon Hintikka.Fabien Schang - 2018 - Klesis 39:92-124.
    L’article qui suit a pour but de présenter un des aspects centraux de la contribution philosophique de Jaakko Hintikka : l’épistémologie formelle. Le thème choisi, le Paradoxe de Moore, permettra d’illustrer le mot d’ordre de la philosophie formelle, celui d’utiliser des outils logiques en vue de la clarification de problèmes philosophiques. Il s’agit également de mettre en évidence la nature pragmatique du discours épistémique, qui transparaît dans les résultats sémantiques de Hintikka et parle en faveur de la logique illocutoire.
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  14.  9
    Conquérir la négritude : considérations inessentielles sur le genre noir.Fabien Schang - 2015 - Nouvelles Études Francophones 29:60-77.
    Quel message est apporté par le courant littéraire de la négritude, et comment procède-t-il pour le transmettre? C'est par le biais d'une écriture introspective que la diaspora noire a conquis sa dignité et dépassé le stade victimaire, par-delà le seul cadre de la communauté francophone. A travers l'histoire de la traite et de la colonisation, notre lecture procédera en trois phases: une phase locutoire, consacrée à un rappel chronologique du contexte noir dans l'Histoire; une phase illocutoire, où seront exposées les (...)
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  15.  4
    Epistemic Pluralism.Fabien Schang - 2017 - Logique Et Analyse 239 (60):337-353.
    The present paper wants to promote epistemic pluralism as an alternative view of non-classical logics. For this purpose, a bilateralist logic of acceptance and rejection is developed in order to make an important di erence between several concepts of epistemology, including information and justi cation. Moreover, the notion of disagreement corresponds to a set of epistemic oppositions between agents. The result is a non-standard theory of opposition for many-valued logics, rendering total and partial disagreement in terms of epistemic negation and (...)
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  16.  4
    From Aristotle’s Oppositions to Aristotelian Oppositions.Fabien Schang - 2017 - In Valery V. Petroff (ed.), The Legacies of Aristotle as Constitutive Element of European Rationality: Proceedings of the Moscow International Conference on Aristotle. Moscou, Russie:
    Aristotle’s philosophy is considered with respect to one central concept of his philosophy, viz. opposition. Far from being a mere side-effect of syllogistic, it is argued in the present paper that opposition helps to articulate ontology and logic through an account of what can be or cannot be in a systematic and structural way. The paper is divided into three main parts. In Section I, the notion of Being is scrutinized through Aristotle’s theory of categories. In Section II, the notion (...)
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  17.  7
    Three Epistemic Paralogisms, One Logic of Utterances.Fabien Schang - 2010 - In P.-E. Bour & M. Rebuschi & L. Rollet (ed.), Construction. Festschrift for Gerhard Heinzmann. pp. 407-416.
    Assuming that a paralogism is an unintentionally invalid reasoning, we give an exampli.
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  18.  3
    Logic in Opposition.Fabien Schang - 2013 - Studia Humana 2 (3):31-45.
    It is claimed hereby that, against a current view of logic as a theory of consequence, opposition is a basic logical concept that can be used to define consequence itself. This requires some substantial changes in the underlying framework, including: a non-Fregean semantics of questions and answers, instead of the usual truth-conditional semantics; an extension of opposition as a relation between any structured objects; a definition of oppositions in terms of basic negation. Objections to this claim will be reviewed.
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  19.  6
    A One-Valued Logic for Non-One-Sidedness.Fabien Schang - 2013 - International Journal of Jaina Studies 9 (1):1-25.
    Does it make sense to employ modern logical tools for ancient philosophy? This well-known debate2 has been re-launched by the indologist Piotr Balcerowicz, questioning those who want to look at the Eastern school of Jainism with Western glasses. While plainly acknowledging the legitimacy of Balcerowicz's mistrust, the present paper wants to propose a formal reconstruction of one of the well-known parts of the Jaina philosophy, namely: the saptabhangi, i.e. the theory of sevenfold predication. Before arguing for this formalist approach to (...)
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  20.  6
    Dire et penser dans le principe psychologique de non-contradiction d'Aristote.Fabien Schang - 2005 - Public@Tions Electroniques de Philosophi@ Scienti@E.
    Un paralogisme semble commis dans la démonstration par Aristote du principe psychologique de non-contradiction : à partir d’un principe performatif d’assertion (dire quelque chose, c’est le croire), une approche moderne nous incline à prétendre qu’Aristote présuppose une transparence référentielle des contextes opaques de croyance afin de corréler les versions psychologique et logique. Nous tenterons de restituer la preuve du principe (I). Au moyen de la formalisation moderne, nous appliquerons cette explication à quelques paradoxes (II). Nous en conclurons la nature de (...)
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  21.  3
    Les attitudes russelliennes.Fabien Schang - 2017 - Cahiers de Philosophie de L’Université de Caen 54:149-168.
    Russell prétend qu’un examen des croyances est indispensable pour définir nos raisonnements quotidiens et comprendre ce que les philosophes entendent par la notion de vérité. Cela étant, l’auteur considère qu’une étude de ces croyances n’a aucun rapport avec la logique, laquelle concerne uniquement le vrai et le faux. En d’autres termes, Russell associe croyance et psychologie tout en réservant le domaine de la logique au thème de la proposition, vraie ou fausse par définition. Une certaine théorie de la vérité sous-tend (...)
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  22.  5
    An Arithmetization of Logical Oppositions.Fabien Schang - 2016 - In Jean-Yves Beziau & Gianfranco Basti (eds.), The Square of Opposition: A Cornerstone of Thought. Bâle, Suisse: pp. 215-237.
    An arithmetic theory of oppositions is devised by comparing expressions, Boolean bitstrings, and integers. This leads to a set of correspondences between three domains of investigation, namely: logic, geometry, and arithmetic. The structural properties of each area are investigated in turn, before justifying the procedure as a whole. Io finish, I show how this helps to improve the logical calculus of oppositions, through the consideration of corresponding operations between integers.
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  23.  4
    Depicting Negation in Diagrammatic Logic: Legacy and Prospects.Fabien Schang & Amirouche Moktefi - 2008 - Diagrammatic Representation and Inference: Proceedings of the 5th International Conference Diagrams 2008 5223:236-241.
    Here are considered the conditions under which the method of diagrams is liable to include non-classical logics, among which the spatial representation of non-bivalent negation. This will be done with two intended purposes, namely: a review of the main concepts involved in the definition of logical negation; an explanation of the epistemological obstacles against the introduction of non-classical negations within diagrammatic logic.
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  24.  4
    Espace logique et modalités chez Wittgenstein.Fabien Schang - 2014 - AL-Mukhatabat 9:230-242.
    L'article s'intéresse aux obstacles épistémologiques qui empêchèrent Wittgenstein d'admettre l'idée moderne de logique modale et, en particulier, les logiques d'attitudes propositionnelles. Tout en proposant un aperçu rétrospectif de la logique des modalités épistémiques, nous verrons que ces obstacles reposent avant tout sur la nature de l'espace logique présenté dans le Tractatus Logico-Philosophicus et le statut métaphysique du sujet. Des passages éclairants seront rappelés pour justi.
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  25.  4
    Two Indian Dialectical Logics: Saptabhangi and Catuskoti.Fabien Schang - 2010 - Journal of the Indian Council of Philosophical Research 27 (1):45-75.
    A rational interpretation is proposed for two ancient Indian logics: the Jaina saptabhaṅgī, and the Mādhyamika catuṣkoṭi. It is argued that the irrationality currently imputed to these logics relies upon some philosophical preconceptions inherited from Aristotelian metaphysics. This misunderstanding can be corrected in two steps: by recalling their assumptions about truth; by reconstructing their ensuing theory of judgment within a common conceptual framework.
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  26.  3
    Believing the Self-Contradictory.Fabien Schang - 2011 - In Dariusz Lukasiewicz & Roger Pouivet (eds.), The Right to Believe: Perspectives in Religious Epistemology. pp. 127-140.
    An argument for the rationality of religious belief in the existence of God is defended. After reviewing three preconditions for rational belief, I show reasons to privilege the criterion of consistency. Taking the inconsistency of the religious belief in God and the belief in the scientific world picture as the impediment to a rational belief in God, I propose that we can overcome this objection by assuming, firstly, that God is a universal class. This allows us to put the problem (...)
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  27.  3
    How to Hintikkize a Frege.Fabien Schang - 2016 - In Amirouche Moktefi, Alessio Moretti & Fabien Schang (eds.), Let’s be Logical (Studies in the Philosophy and History of Logic). Londres, Royaume-Uni: pp. 161-172.
    The paper deals with the main contribution of the Finnish logician Jaakko Hintikka: epistemic logic, in particular the 'static' version of the system based on the formal analysis of the concepts of knowledge and belief. I propose to take a different look at this philosophical logic and to consider it from the opposite point of view of the philosophy of logic. At first, two theories of meaning are described and associated with two competing theories of linguistic competence. In a second (...)
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  28.  3
    Le ninisme est-il un nihilisme?Fabien Schang - 2015 - Implications Philosophiques.
    Nonism refers to the attitude of whoever is neither pro nor cons a given issue. Midway between affirmation and denial, or truth and falsity, the nonist says neither “yes” nor “no” and intrigues by his lack of clear answer to any related question. What does (s)he say, if any, and what is the sense of such an attitude? Through the special case of politics, three sorts of nonists are depicted in the following: the nonist by default, the nonist by interest, (...)
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  29.  3
    Making Sense of History? Thinking About International Relations.Fabien Schang - 2014 - In Leonid Grinin, Ilya V. Ilyin & Andrey V. Korotayev (eds.), Globalistics and Globalization Studies. Aspects & Dimensions of Global Views. Volgograd, Oblast de Volgograd, Russie: pp. 50-60.
    Can international relations (IR) be a distinctive discipline? In the present paper I argue that such a discipline would be a social science that could be formulated within the perspective of comparative paradigms. The objections to scientific methods are thus overcome by the logic of international oppositions, in other words a model takes several paradigms into account and considers three kinds of foreign relation (enemy, friend, and rival) in the light of three main questions: what is IR about (ontology); what (...)
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  30.  3
    Questions and Answers About Oppositions.Fabien Schang - 2011 - In Jean-Yves Beziau & Gillman Payette (eds.), The Square of Opposition: A General Framework for Cognition. Berne, Suisse: pp. 289-319.
    A general characterization of logical opposition is given in the present paper, where oppositions are defined by specific answers in an algebraic question-answer game. It is shown that opposition is essentially a semantic relation of truth values between syntactic opposites, before generalizing the theory of opposition from the initial Apuleian square to a variety of alter- native geometrical representations. In the light of this generalization, the famous problem of existential import is traced back to an ambiguous interpretation of assertoric sentences (...)
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  31.  3
    Une sémantique générale des croyances justifiées.Fabien Schang & Alexandre Costa Leite - 2016 - CLE-Prints 16 (3):1-24.
    Nous proposons une logique épistémique quadrivalente AR4.
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  32.  3
    Wittgenstein's Attitudes.Fabien Schang - 2008 - In Alexander Hieke & Hannes Leitgeb (eds.), Reduktion und Elimination in Philosophie und den Wissenschaften. pp. 289-291.
    What's wrong with modalities in (Wittgenstein 1922)? In (Suszko 1968), the writer argued that "Wittgenstein was somewhat confused and wrong in certain points. For example, he did not see the clear-cut distinction between language (theory) and metalanguage (metatheory): a confusion between use and mention of expressions". Furthermore, a modal logic was proposed in (von Wright 1986) as depicting Wittgenstein's bipolarity thesis in a S5 frame. -/- The aim of the present paper is to deal with the specific case of epistemic (...)
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  33.  7
    The Football of Logic.Fabien Schang - 2017 - Studia Humana 6 (1):50-60.
    An analogy is made between two rather different domains, namely: logic, and football. Starting from a comparative table between the two activities, an alternative explanation of logic is given in terms of players, ball, goal, and the like. Our main thesis is that, just as the task of logic is preserving truth from premises to the conclusion, footballers strive to keep the ball as far as possible until the opposite goal. Assuming this analogy may help think about logic in the (...)
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  34.  4
    Philosophie des modalités épistémiques (la logique assertorique revisitée).Fabien Schang - 2007 - Dissertation, Nancy Université
    The relevance of any logical analysis lies in its ability to solve paradoxes and trace conceptual troubles back; with this respect, the task of epistemic logic is to handle paradoxes in connection with the concept of knowledge. Epistemic logic is currently introduced as the logical analysis of crucial concepts within epistemology, namely: knowledge, belief, truth, and justification. An alternative approach will be advanced here in order to enlighten such a discourse, as centred upon the word assertion and displayed in terms (...)
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