Emotions are traditionally considered to be brief states that last for seconds or a few minutes at most. However, due to pioneering theoretical work of Frijda and recent empirical studies, it has become clear that the duration of emotions is actually highly variable with durations ranging from a few seconds to several hours, or even longer. We review research on determinants of emotion duration. Three classes of determinants are identified: features related to the (a) emotion-eliciting event (event duration and event (...) appraisal), (b) emotion itself (nature of the emotion component, nature of the emotion, and emotion intensity), and (c) emotion-experiencing person (dispositions and emotion regulatory actions). Initial evidence on the psychological and neural mechanisms that underlie their effects is discussed. (shrink)

This paper introduces the special issue on Logic and Religion of the journal Logica Universalis (Springer). The issue contains the following articles: Logic and Religion, by Jean-Yves Beziau and Ricardo Silvestre; Thinking Negation in Early Hinduism and Classical Indian Philosophy, by Purushottama Bilimoria; Karma Theory, Determinism, Fatalism and Freedom of Will, by Ricardo Sousa Silvestre; From Logic in Islam to Islamic Logic, by Musa Akrami; Leibniz’s Ontological Proof of the Existence of God and the Problem of Impossible Objects, (...) by Wolfgang Lenzen; A Logical Analysis of the Anselm’s Unum Argumentum (from Proslogion), by Jean-Pierre Desclés; Monotonic and Non-monotonic Embeddings of Anselm’s Proof, by Jacob Archambault; Computer-Assisted Analysis of the Anderson–Hájek Ontological Controversy, by C. Benzmüller, L. Weber and B. Woltzenlogel Paleo. (shrink)

In his Brouillon Project on conic sections, Girard Desargues studies the notion of traversale, which generalizes that of diameter introduced by Apollonius. One often reads that it is equivalent to the notion of polar, a concept that emerged in the beginning of 19th century. In this article we shall study in great detail the developments around that notion in the middle part of the Brouillon project. We shall in particular show, using the notes added by Desargues after the first draft (...) was written, how here arises a new theory, that of the polarity associated to a conic section. We shall show that besides a natural correspondance between points and lines, Desargues has understood that a conic induces on every line in its plane an involution, and how he progressively handles the considerable conceptual difficulties he has to deal with when trying to explain clearly his novative ideas. (shrink)

"Christian philosophy" is commonly regarded as an oxymoron, philosophy being thought incompatible with the assumptions and conclusions required by religious faith. According to this way of thinking, philosophy and theology must forever remain distinct. In From Theology to Theological Thinking, Jean-Yves Lacoste takes a different approach. Stepping back from contemporary philosophical concerns, Lacoste--a leading figure in the philosophy of religion--looks at the relationship between philosophy and theology from the standpoint of the history of ideas. He notes in particular (...) that theology and philosophy were not considered separate realms until the high Middle Ages, this distinction being a hallmark of the modern era that is coming to an end. Lacoste argues that the intellectual task before us now is to work in the frontier region between or beyond these domains, work he identifies as "the task of thinking." With this argument, Lacoste resets our understanding of Western Christian thought, contending that a new way of thinking that is at once philosophical and theological will be the lasting discourse of Christianity. (shrink)

“Formal logic”, an expression created by Kant to characterize Aristotelian logic, has also been used as a name for modern logic, originated by Boole and Frege, which in many aspects differs radically from traditional logic. We shed light on this paradox by distinguishing in this paper five different meanings of the expression “formal logic”: (1) Formal reasoning according to the Aristotelian dichotomy of form and content, (2) Formal logic as a formal science by opposition to an empirical science, (3) Formal (...) systems in the sense of Hilbert, Curry and the formalist school, (4) Symbolic logic, a science using symbols, such as Venn diagrams, (5) Mathematical logic, a mathematical approach to reasoning. We argue that these five meanings are independent and that the meaning (5) is the one which better characterized modern logic, which should therefore not be called “formal logic”. (shrink)

According to Boole it is possible to deduce the principle of contradiction from what he calls the fundamental law of thought and expresses as \. We examine in which framework this makes sense and up to which point it depends on notation. This leads us to make various comments on the history and philosophy of modern logic.

In this paper we explain that the paraconsistent logic LP promoted by Graham Priest can only be supported by trivial dialetheists, i.e., those who believe that all sentences are dialetheias.

We discuss the origin and development of the universal logic project. We describe in particular the structure of UNILOG, a series of events created for promoting the universal logic project, with a school, a congress, a secret speaker and a contest. We explain how the contest has evolved into a session of logic prizes.

We discuss the history of the revival of the theory of opposition, with its emerging paradigms of research, and the related events that are organized in this perspective, including the latest one in Leuven in 2022.

Using methods of abstract logic and the theory of valuation, we prove that there is no paraconsistent negation obeying the law of double negation and such that $\neg(a\wedge\neg a)$ is a theorem which can be algebraized by a technique similar to the Tarski-Lindenbaum technique.

Le comte Joseph de Maistre fut un ennemi radical des Lumières.

It is tempting to consider Girard Desagues’ mathematical work, more precisely his Brouillon project on conics, as a work of mathematics applied to perspective. We would like to show in this text that it is probably more pertinent to consider that Desargues does mathematics as a practitionner of the art of perspective. We shall analyse a few extracts of Desargues’ work with this point of view in mind so as to shed light on his innovative ideas that could be hard (...) to understand in his sometimes obscure style. We shall show how this way of doing geometry can be also be found in the works Philippe de la Hire and Jacques-Francois le Poîvre, leading them to consider a transformation of the plane into itself as an explicited mathematical object. (shrink)

The first volume presents a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including (...) combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schröder, MacColl). This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic. (shrink)

We assess the celebration of the 1st World Logic Day which recently took place all over the world. We then answer the question Why a World Logic Day? in two steps. First we explain why promoting logic, emphasizing its fundamental importance and its relations with many other fields. Secondly we examine the sense of a one-day celebration: how this can help reinforcing logic day-to-day and why logic deserves it. We make a comparison with other existing one-day celebrations. We end by (...) presenting and commenting the logo of the World Logic Day. (shrink)

This text is an outgrowth of notes prepared by J. Y. Girard for a course at the University of Paris VII. It deals with the mathematical background of the application to computer science of aspects of logic (namely the correspondence between proposition & types). Combined with the conceptual perspectives of Girard's ideas, this sheds light on both the traditional logic material & its prospective applications to computer science. The book covers a very active & exciting research area, & it will (...) be essential reading for all those working in logic & computer science. (shrink)

The hexagon of opposition is an improvement of the square of opposition due to Robert Blanché. After a short presentation of the square and its various interpretations, we discuss two important problems related with the square: the problem of the I-corner and the problem of the O-corner. The meaning of the notion described by the I-corner does not correspond to the name used for it. In the case of the O-corner, the problem is not a wrong-name problem but a no-name (...) problem and it is not clear what is the intuitive notion corresponding to it. We explain then that the triangle of contrariety proposed by different people such as Vasiliev and Jespersen solves these problems, but that we don’t need to reject the square. It can be reconstructed from this triangle of contrariety, by considering a dual triangle of subcontrariety. This is the main idea of Blanché’s hexagon. We then give different examples of hexagons to show how this framework can be useful to conceptual analysis in many different fields such as economy, music, semiotics, identity theory, philosophy, metalogic and the metatheory of the hexagon itself. We finish by discussing the abstract structure of the hexagon and by showing how we can swing from sense to non-sense thinking with the hexagon. (shrink)

Jean-Jacques Rousseau est l'auteur de l'entrée "économie politique" dans l'Encyclopédie en 1755. A ce titre, il aurait pu être l'un des fondateurs de cette discipline. Pourtant, la définition qu'il en donne est à l'encontre de la pensée libérale des physiocrates, puis des classiques, et constitue une véritable "anti-économique". En hypertrophiant le rôle de l'Etat et en niant l'intérêt personnel, Rousseau est au contraire l'un des pères du socialsme. En niant la liberté humaine, il nie aussi l'existence de choix éthiques.

This special issue is related to the 6th World Congress on the Square of Opposition which took place at the Orthodox Academy of Crete in November 2018. In this introductory paper we explain the context of the event and the topics discussed.

The paper extends a result in Dutta and Ray's (1989) theory of constrained egalitarianism initiated by relying on the concept of proportionate rather than absolute equality. We apply this framework to redistributive systems in which what the individuals get depends on what they receive or pay qua members of generally overlapping groups. We solve the constrained equalization problem for this class of models. The paper ends up comparing our solution with the alternative solution based on the Shapley value, which has (...) been recommended in some distributive applications. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Reviewed by:Heidegger and Dao: Things, Nothingness, Freedom by Eric S. NelsonJean-Yves Heurtebise (bio)Heidegger and Dao: Things, Nothingness, Freedom. Eric S. Nelson. London: Bloomsbury, 2024. Pp. viii + 256. Paper $103.50, ISBN 978-1-350411-90-6.On the Way: from Heidegger to Nagarjuna via Lao-ZhuangAfter having reviewed Eric S. Nelson’s 2017 Chinese and Buddhist Philosophy in Early Twentieth-Century German Thought (for the Journal of Chinese Philosophy) and his 2020 Daoism and Environmental Philosophy (...) (for Monde Chinois Nouvelle Asie), reviewing now, for Philosophy East & West, Nelson’s 2024 Heidegger and Dao: Things, Nothingness, Freedom, which develops on the insights of his two previous opuses, is both a real pleasure and a true challenge. It’s a pleasure to read again Eric S. Nelson’s scholarly prose with its own specific conceptual style and distinctive philosophical rhythm. It’s a challenge to give a meaningful and fair overview of a conceptually complex, scholarly rich, and thought-provoking book.No one can speak better about the aim and goals of Nelson’s book than the author himself--following the wayist way of spontaneous ziranity, we will thus let the book speak for itself:Its primary thesis is that, entangled with Daoist and other intercultural sources, Heidegger’s path proceeds from the paradigmatic Occidental philosophy of available givenness and mere presence--which conceals the open spacing of things and seeks to logically exclude and dialectically subordinate negativity and the nothing--to nothingness, emptiness, and the clearing in their coming to presence and withdrawal in absence or, to accentuate its mutable verbal sense, presencing-absencing. […] Zhuangzi’s vision of free and easy wandering indicates ways of practicing philosophy as contesting and unraveling fixations. These practices allow rethinking Heidegger’s pathways and reimagining for ourselves things, nothingness, and world in the specificity of our existential condition.(p. 10)These lines can give already a good indication about what the reader will be provided with: a Heideggerian reading of Daoism nurturing and enriching a Daoist reading of Heidegger; a Daoist reinterpretation of the late Heidegger feeding and complexifying a Heideggerian Pre-Socratic reinterpretation of early Daoism; a continuous feedback loop leading to a process of mutual symbiosis and multiple conceptually creative hybridizations. Ziran and Dao are used to unlock the concealed potentialities of overdetermined Western concepts such as Nature and Ethos while the Heideggerian deconstruction of “Western metaphysics” is [End Page 1] used to de-Eurocentricize our understanding of Daoist and Buddhist thoughts about Thing and Nothingness.The book is divided in two parts: the first part deals with the concept of Thing, the second with the concept of Nothingness. Thing and Nothingness seem to be the perfect antithesis but the magic of Nelson’s reading of their tri-cultural Daoist, Buddhist and Heideggerian conceptualization is to dissipate the classical, ontological antinomy between Being and Non-Being to explore what’s both beyond and below: the natural source of life emergence, coming and returning to a Nothing that is Everything via a Thing that is never Anything (a ready-made and exchangeable object in the universal trading scheme of capitalist general equivalence) but always Something (this and that in particular, in their own specific rhythm of coming back and forth, from and to their source of un-nothingity).The first five chapters evoke the issue of the encounter of Heidegger and Daoist thinking in relation to the deconstruction of Thingness. In the first chapter, Nelson proposes a cross-cultural perspective about the Nature of the Thing linking Heidegger’s critique of the reduction of Things’ Presence to Functional Tools to the Daoist extended conception of Things in terms of Multitude (wanwu 萬物), in which objects, living beings, and spirits participate in the fabric of reality. Chapter 2 examines the connection between Heidegger’s and Daoism’s understanding of “nature” as manifesting a distinct yet similar attention to things’ autopoiesis: following the natural disclosing and unfolding of “things” entails a specific way to think and be in the world. In chapter 3, a comparison is established between Heidegger and Laozi with respect to the notion of void and emptiness: the fact that what powers the utility of a thing is what... (shrink)

These lectures on logic, more specifically proof theory, are basically intended for postgraduate students and researchers in logic. The question at stake is the nature of mathematical knowledge and the difference between a question and an answer, i.e., the implicit and the explicit. The problem is delicate mathematically and philosophically as well: the relation between a question and its answer is a sort of equality where one side is ``more equal than the other'': one thus discovers essentialist blind spots. Starting (...) with Godel's paradox --so to speak, the incompleteness of answers with respect to questions--the book proceeds with paradigms inherited from Gentzen's cut-elimination. Various settings are studied: sequent calculus, natural deduction, lambda calculi, category-theoretic composition, up to geometry of interaction, all devoted to explicitation, which eventually amounts to inverting an operator in a von Neumann algebra. Mathematical language is usually described as referring to a preexisting reality. Logical operations can be given an alternative procedural meaning: typically, the operators involved in GoI are invertible, not because they are constructed according to the book, but because logical rules are those ensuring invertibility. Similarly, the durability of truth should not be taken for granted: one should distinguish between imperfect and perfect modes. The procedural explanation of the infinite thus identifies it with the unfinished, i.e., the perennial. But is perenniality perennial? This questioning yields a possible logical explanation for algorithmic complexity. This highly original course on logic by one of the world's leading proof theorists challenges mathematicians, computer scientists, physicists, and philosophers to rethink their views and concepts on the nature of mathematical knowledge in an exceptionally profound way. (shrink)

Entre philosophie et théologie, pouvons-nous croire à l'existence d'une limite? C'est ce que ce livre tente de nier. Dieu n'apparaît pas ou n'" apparaît " pas comme apparaît ou " apparaît " un cube, une œuvre d'art, un nombre ou un autre homme. Dieu diffère - jusqu'au point d'être le non-autre. La différence toutefois n'introduit nulle césure dans le champ de la connaissance. Elle nous rend simplement, ce qui n'est pas peu, attentifs à la pluralité des modes d'apparaître. Et s'enquérir (...) de la phénoménalité de Dieu, à ce compte, revient à s'enquérir de toute phénoménalité. Celle de l'objet présumé philosophique et seulement philosophique aussi bien que celle de l'objet présumé théologique et seulement théologique. J.-Y, L. (shrink)

The article concerns the life paths and the complex situations of autism in Île-de-France (France). It is based on a participative research with professionals and beneficiaries of the Complex Situations of Autism Device (SCATED). The method is organized in 3 phases: 1°- analysis of the context of autism in Île-de-France through the exploitation of the national survey called “ES 2014”; 2°- co-construction between the research team and the professionals of the device of an updated database specific to the device, based (...) on the 2 100 complex autism situations monitored from 2010 to 2018, and the exploitation by the researchers of 452 situations extracted from this database; 3°- analysis of 11 diversified situations (32 interviews). The research offers a critical reading of behavioral disorders and analyzes the seven dimensions that participate in a process of reinforcing vulnerabilities in complex situations of autism. It makes a certain number of recommendations which are taken up by the Île-de-France Regional Agency as part of its strategic health plan. (shrink)

t.l. Introduction à une anthropologie philosophique.

Jean-Yves Béziau Abstract In this paper I relate the story about the new rising of the square of opposition: how I got in touch with it and started to develop new ideas and to organize world congresses on the topic with subsequent publications.

Faisant suite à celles réalisées en Crète occidentale (BCH 113 [1989], p. 551-580), l'Éphorie des Antiquités d'Hérakleion et l'École française d'Athènes ont mené en collaboration en 1989 des recherches sur les ateliers de fabrication d'amphores de Crète centrale, dont l'activité s'échelonne entre l'époque hellénistique et l'époque impériale. On a ainsi localisé de nouveaux ateliers et réexaminé des ateliers déjà connus à Hérakleion, Chersonisos, Tsoutsouros (Inatos), Kératokambos et Dermatos. L'étude typologique permet d'affirmer que différents types d'amphores pouvaient être fabriqués dans le (...) même atelier. On a identifié trois nouveaux types, qui ont coexisté en Crète centrale avec tous les autres types déjà connus. L'étude concerne également d'autres productions des mêmes ateliers (vases, tuiles, etc.) et aborde quelques aspects techniques (supports de vases, ratés de cuisson, parois vitrifiées de fours). (shrink)

We define and examine a notion of logical friendliness, which is a broadening of the familiar notion of classical consequence. The concept is tudied first in its simplest form, and then in a syntax-independent version, which we call sympathy. We also draw attention to the surprising number of familiar notions and operations with which it makes contact, providing a new light in which they may be seen.

My paper concerns a rather extraordinary generation which arose in France in the 1930s, reacting against Action française which had long infected French Catholic political and social thought. Action française was a line of thought — and a political movement — inspired by Charles Maurras, himself an agnostic, basing his political thinking on a form of naturalism and positivism which clearly divorced politics from religion and ethics. Pope Pius XI forbade the participation of Catholics in that movement in 1926, which (...) was quite a blow and provoked quite an uproar since the majority of Catholic intellectuals were from Action française.The great Thomists of the time in particular and the bishops were reluctant in following the Pope's condemnation. Already the following year however, Jacques Maritain, who had sided with Action française for a long time, rallied to Rome. He contributed to a famous book Rome has spoken . Many followed him. He subsequently changed his basic views, fought for an integration of politics with morality as well as for a certain integration of politics and the Christian message, under the name Humanisme intégral, the title of one of his books. Jacques Maritain was born in 1882, died in 1975. The decisive years of his work are clearly the '30s and early '40s. (shrink)

This paper aims to shed new light on Hegel’s rather problematic statements about Asian thinking and Chinese philosophy by disclosing the Orientalist antecedents found in Kant’s anthropological works. First, the notion of Orientalism will be defined with reference to Orientalism and “Orientalism Reconsidered” by Edward Said. Second, an exploration of Kant’s anthropological research will show that this constituted the turning point in the Western Orientalist perception of China which had a strong influence on Hegel Finally, it will be claimed that (...) Hegel’s Orientalist perception of China rests on a definition of culture as the expression of the “spirit of a people” that has recently been revised by contemporary post-colonial anthropologists. (shrink)

This special issue of Logica Universalis (Springer) deals with the relations between logic and religion, broadly conceived. It contains the following articles: Logic and Religion, by Jean-Yves Beziau and Ricardo Silvestre; Thinking Negation in Early Hinduism and Classical Indian Philosophy, by Purushottama Bilimoria; Karma Theory, Determinism, Fatalism and Freedom of Will, by Ricardo Sousa Silvestre; From Logic in Islam to Islamic Logic, by Musa Akrami; Leibniz’s Ontological Proof of the Existence of God and the Problem of Impossible Objects, (...) by Wolfgang Lenzen; A Logical Analysis of the Anselm’s Unum Argumentum (from Proslogion), by Jean-Pierre Desclés; Monotonic and Non-monotonic Embeddings of Anselm’s Proof, by Jacob Archambault; Computer-Assisted Analysis of the Anderson–Hájek Ontological Controversy, by C. Benzmüller, L. Weber and B. Woltzenlogel Paleo. (shrink)

A partir d'un « stock d'axiomes de toute théologie », J.-Y. Lacoste inscrit à son cahier des charges plusieurs tâches. La première consiste à montrer que « ses » vérités ne sont pas celles de tout le monde. La seconde est celle d'une « précision conceptuelle » inscrite dans la distinction de l'expérience et du langage par et dans lequel elle se dit. Enfin, comme troisième tâche, il entend accomplir une « mise en perspective » ou « mise en critique (...) », celle des instruments conceptuels utilisés. De ce fait, devraient apparaître les grandes lignes d'un protocole d'accord entre instances , capable d'aider à éviter des ornières assez habituelles, que ce soit celle de la sacralisation du Vorzeit , ou celle du flirt perpétuel avec la nouveauté chérie comme telle. Ces tâches étant évidemment solidaires, il n'est pas question pour J.-Y. Lacoste de les séparer dans son projet.Beginning with a « stock of axioms from all theology », J-Y Lacoste has a number of items on his list. The first is to show that « these » basic truths are not held by everyone. The second is that of a « conceptual precision » written in the distinction of experience and language by and in which it speaks . Finally, as a third task, he wants to accomplish a « putting in perspective » or « placing in review » of the conceptual tools used. From this there should appear the main lines of an agreement of protocol between matters capable of helping to avoid the fairly habitual ruts, whether it be that of the sacralization of the Vorzeit or that of the unending flirting with the darling novelity as such. Since these tasks are clearly tied together, there is no question for-J -Y Lacoste of separating them in his project. (shrink)

We are pleased to present this special issue of the journal History and Philosophy of Logic dedicated to the square of opposition.The square of opposition is a diagram and a theory of opposition re...

The theory of the square of opposition has been studied for over 2,000 years and has seen a resurgence in new theories and research since the second half of the twentieth century. This volume collects papers presented at the Sixth World Congress on the Square of Opposition, held in Crete in 2018, developing an interdisciplinary exploration of the theory. Chapter authors explore subjects such as Aristotle’s ontological square, logical oppositions in Avicenna’s hypothetical logic, and the power of the square of (...) opposition to solve theological problems regarding predestination and theodicy. Other topics covered include: Hegel’s opposition to diagrams De Morgan’s unpublished octagon of opposition turnstile figures of opposition institutional model-theoretic treatment of oppositions Lacan’s four formulas of sexuation the theory of oppositional poly-simplexes The Exoteric Square of Opposition will appeal to pure logicians, historians of logic, semioticians, philosophers, theologians, mathematicians, and psychoanalysts. (shrink)

Linear logic, introduced in 1986 by J.-Y. Girard, is based upon a fine grain analysis of the main proof-theoretical notions of logic. The subject develops along the lines of denotational semantics, proof nets and the geometry of interaction. Its basic dynamical nature has attracted computer scientists, and various promising connections have been made in the areas of optimal program execution, interaction nets and knowledge representation. This book is the refereed proceedings of the first international meeting on linear logic held at (...) Cornell University, in June 1993. Survey papers devoted to specific areas of linear logic, as well as an extensive general introduction to the subject by J.-Y. Girard, have been added, so as to make this book a valuable tool both for the beginner and for the advanced researcher. (shrink)