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 (...) la non-contradiction (III), avant de proposer une "dissolution" syntaxique du problème d'opacité des contextes d'attitudes propositionnelles. Cette dissolution exprimera un certain scepticisme face aux approches formelles de l'intentionnalité. (shrink)

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, (...) and the nonist by absurdity. The first cannot say anything else and the second does not want to, whilst the third paves a new way towards a refoundation of political discourse. The conditions of possibility of such a refoundation rely upon the dialectical relationship between two distinctive rationales, namely: the world of theoretical ideas, and the world of events. The resulting contradiction witnesses the crisis of political activity, and some output solutions will be exposed accordingly. -/- Le ninisme désigne l’attitude de celui qui n’est ni pour, ni contre un thème donné. A mi- chemin entre l’affirmation et la négation, ou la vérité et la fausseté, le niniste ne dit ni « oui » ni « non » et intrigue par son absence de réponse claire à une question posée. Que dit-il au juste, et quel est le sens de son attitude ? A travers le cas précis du domaine politique, trois types de ninistes seront décrits dans ce qui suit : le niniste par défaut, le niniste par intérêt, et le niniste par l’absurde. Le premier ne peut se prononcer autrement et le deuxième ne le souhaite pas, tandis que le troisième ouvre la voie en vue d’une refondation du discours politique. Les conditions de possibilité de cette refondation dépendent du rapport dialectique entre deux logiques distinctes : le monde des idées théoriques et le monde réel des événements. La contradiction qui en résulte est à l’image d’une activité politique en crise, et quelques solutions de sortie seront envisagées. (shrink)

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.

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 (...) différentes réactions de l'intelligentsia noire face à la ségrégation et au passif colonial; une phase perlocutoire, qui conclura l'étude en observant l'impact de la négritude sur la réalité sociale du genre noir. Au-delà du courant historique francophone, l'idée de négritude incarne le problème des constructions d'identité et illustre parfaitement la difficulté de la condition humaine: être ce que nous voulons de ce que les autres veulent faire de nous. (shrink)

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 (...) son rejet primordial d’une logique épistémique ; si la croyance a un intérêt philosophique, c’est parce que Russell se sert de son examen pour discerner la théorie de la vérité que défendent plusieurs philosophes : la théorie de la vérité-cohérence est une cible principale du Britannique, qui défend pour sa part une théorie de la vérité-correspondance en caractérisant la proposition par sa relation de correspondance ou de non-correspondance avec un fait. (shrink)

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.

Il s’agit de comprendre dans cet article l’opposition formulée par Gilles-Gaston Granger entre deux types de négation : la négation « radicale », d’un côté, et les négations « appliquées » de l’autre. Nous examinerons les propriétés de cette opposition, ainsi que les enseignements à en tirer sur la philosophie de la logique de Granger. Puis nous proposerons une théorie constructive des valeurs logiques considérées comme des objets structurés, consolidant à la fois l’unité de la théorie logique de Granger et (...) son pluralisme philosophique. (shrink)

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 (...) de vérité ; un argument pratique, dans la mesure où Quine défend la logique classique sur la base du “principe de mutilation minimum”. A travers une étude de ses écrits relatifs aux attitudes propositionnelles, nous montrerons que la philosophie de la logique de Quine a prolongé la partie épistémologique de son oeuvre, optant finalement pour une stratégie de réduction naturaliste des intensions, à l’image du mouvement engagé par Word and Object et prolongé par From Stimulus to Science. Ce projet se soldera par un échec relatif, et Quine résumera cette désillusion par un fossé entre les structures du langage et du monde : la thèse du “monisme anomal” de Davidson sera le dernier mot, amer, du défenseur acharné de la logique classique. (shrink)

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 (...) of utterance. Insofar as epistemic modalities express some attitudes, the intentionality of discourse will be emphasized within an illocutionary modal logic. Two large views will range over the whole study: declarative and epistemic sentences have one and the same logic (assertion logic); the plurality of languages games doesn’t entail any logical pluralism. -/- La valeur d'une analyse logique réside dans sa capacité à résoudre des paradoxes et à comprendre l'origine de nos problèmes conceptuels ; à ce titre, le rôle d'une logique épistémique est de traiter des paradoxes liés au concept de connaissance. On présente généralement la logique épistémique comme une analyse logique de concepts centraux en épistémologie : connaissance, croyance, vérité, justification. Une autre approche sera proposée ici en vue de clarifier ce genre de discours, centrée sur la notion d'assertion et décrite en termes d'énonciation. Parce que les modalités épistémiques expriment des attitudes, c'est l'intentionnalité du discours qui sera mise en valeur dans le cadre d'une logique modale illocutoire. Deux thèses transversales parcourront l'ensemble du travail : les énoncés déclaratifs et épistémiques partagent la même logique (logique assertorique) ; la pluralité des jeux de langages n'implique pas un pluralisme logique. (shrink)

(Back Cover:) « La pensée métaphysique renaîtra demain. Ce sont des savants qui ont le goût et le sens de la pensée conduite jusqu’au terme de ses exigences internes, et des philosophes initiés aux sciences expérimentales qui, en commun, la feront. » L’œuvre de Claude Tresmontant (1925-1997) illustre parfaitement cette recherche de la métaphysique d’un monde en devenir, qui sait écouter et se modeler sur la transformation – la métamorphose – promise à une Création finalisée. Le trait commun aux exposés (...) ici présentés sous forme définitive a été cette recherche autour d’une pensée qui renouvelle de l’intérieur la métaphysique en réalisant le vœu de Bergson qu’elle devienne « auscultatrice », que l’énigme que pose l’homme face à son origine et sa destinée ne soit pas recouverte par une pensée qui se perdrait dans la description des choses ou dans l’esprit de système, mais qui non plus n’irait se recroqueviller sur elle-même, en narrant sa propre expérience subjective sous le mode de la déréliction. Claude Tresmontant a su penser l’être en genèse, et il a cherché à renouveler la question de l’existence de Dieu, en en transformant la problématique en dialogue avec les sciences contemporaines. À ce goût de l’être dont les sciences ont renouvelé l’approche, il a également voulu infuser un « supplément d’âme », en repensant la réalité de la création et l’horizon de la cause finale, toujours à partir de la nature ultimement théologique de la réponse à la question « qu’est-ce que l’homme ? » Contributeurs : Yves Tourenne, Philippe Gagnon, Fabien Revol, Brunor, Frédéric Crouslé, Bertrand Souchard, Emmanuel Gabellieri. Table of Contents: Note Liminaire (Ph. Gagnon) - 7 En quoi la pensée de Claude Tresmontant nous stimule-t-elle encore ? Hommage et critique (Y. Tourenne) - 13 L’imbrication de la preuve de Dieu et de la cosmologie chez Tresmontant représente-t-elle une preuve ? (Ph. Gagnon) - 27 L’usage apologétique de la philosophie de Tresmontant dans les Indices pensables de Brunor (F. Revol) - 49 Réponse à Fabien Revol (Brunor) - 77 Qu’est-ce qui cloche dans la théologie de Claude Tresmontant ? (Fr. Crouslé) - 85 Les métaphysiques principales de Claude Tresmontant : la foi biblique est-elle à part de la raison philosophique grecque ? (B. Souchard) - 109 Maurice Blondel et Claude Tresmontant (E. Gabellieri) - 123 La vision informationnelle de Tresmontant, surtout en référence au problème de l’âme (Ph. Gagnon) - 133. (shrink)

Dans un texte désormais célèbre, Ferdinand de Saussure insiste sur l’arbitraire du signe dont il vante les qualités. Toutefois il s’avère que le symbole, signe non arbitraire, dans la mesure où il existe un rapport entre ce qui représente et ce qui est représenté, joue un rôle fondamental dans la plupart des activités humaines, qu’elles soient scientifiques, artistiques ou religieuses. C’est cette dimension symbolique, sa portée, son fonctionnement et sa signification dans des domaines aussi variés que la chimie, la théologie, (...) les mathématiques, le code de la route et bien d’autres qui est l’objet du livre La Pointure du symbole. -/- Jean-Yves Béziau, franco-suisse, est docteur en logique mathématique et docteur en philosophie. Il a poursuivi des recherches en France, au Brésil, en Suisse, aux États-Unis (UCLA et Stanford), en Pologne et développé la logique universelle. Éditeur-en-chef de la revue Logica Universalis et de la collection Studies in Universal Logic (Springer), il est actuellement professeur à l’Université Fédérale de Rio de Janeiro et membre de l’Académie brésilienne de Philosophie. SOMMAIRE -/- PRÉFACE L’arbitraire du signe face à la puissance du symbole Jean-Yves BÉZIAU La logique et la théorie de la notation (sémiotique) de Peirce (Traduit de l’anglais par Jean-Marie Chevalier) Irving H. ANELLIS Langage symbolique de Genèse 2-3 Lytta BASSET -/- Mécanique quantique : quelle réalité derrière les symboles ? Hans BECK -/- Quels langages et images pour représenter le corps humain ? Sarah CARVALLO Des jeux symboliques aux rituels collectifs. Quelques apports de la psychologie du développement à l’étude du symbolisme Fabrice CLÉMENT Les panneaux de signalisation (Traduit de l’anglais par Fabien Shang) Robert DEWAR Remarques sur l’émergence des activités symboliques Jean LASSÈGUE Les illustrations du "Songe de Poliphile" (1499). Notule sur les hiéroglyphes de Francesca Colonna Pierre-Alain MARIAUX Signes de vie Jeremy NARBY Visualising relations in society and economics. Otto Neuraths Isotype-method against the background of his economic thought Elisabeth NEMETH Algèbre et logique symboliques : arbitraire du signe et langage formel Marie-José DURAND – Amirouche MOKTEFI Les symboles mathématiques, signes du Ciel Jean-Claude PONT La mathématique : un langage mathématique ? Alain M. ROBERT. (shrink)

Scholars in recent decades have downplayed or completely denied that Evagrius Ponticus has a metaphysical system, instead suggesting that he merely borrows from various philosophies, particularly Stoicism, without a coherent system. In this paper, I propose a different perspective, arguing for a metaphysical and Platonic interpretation. I reconstruct Evagrius’s metaphysics systematically, relate its fundamentals to the environment of the late antique Medio- and Neoplatonic tradition, and show that by establishing the principles and structures of being, Evagrius indeed reveals himself to (...) be a metaphysician. (shrink)

Among the many questions raised by Nāgārjuna’s catuṣkoṭi, the most fundamental concerns the type of objects to which its negative statements apply. These statements deny the reality of conditioned Being, which can be understood in two ways: as a negation of our concept or knowledge of conditioned Being, or as a negation of conditioned Being as such. The first interpretation can be called “epistemological” and the second “metaphysical.” Scholarship has almost unanimously accepted the epistemological approach. In this paper I object (...) to this approach and propose to reinterpret the catuṣkoṭi metaphysically, as a description of Being and its inherent principles. I ground my objection in Hegel’s “Doctrine of Being” and argue that the catuṣkoṭi exhibits similar features to the Hegelian concept of substantial negativity. In the end, I draw some conclusions for the study of Nāgārjuna in general and highlight the limits of the parallelism. (shrink)

It has been recently argued that the well-known square of opposition is a gathering that can be reduced to a one-dimensional figure, an ordered line segment of positive and negative integers [3]. However, one-dimensionality leads to some difficulties once the structure of opposed terms extends to more complex sets. An alternative algebraic semantics is proposed to solve the problem of dimensionality in a systematic way, namely: partition (or bitstring) semantics. Finally, an alternative geometry yields a new and unique pattern of (...) oppositions that proceeds with colored diagrams and an increasing set of bitstrings. (shrink)

Abstract : A measurement result is never absolutely accurate: it is affected by an unknown “measurement error” which characterizes the discrepancy between the obtained value and the “true value” of the quantity intended to be measured. As a consequence, to be acceptable a measurement result cannot take the form of a unique numerical value, but has to be accompanied by an indication of its “measurement uncertainty”, which enunciates a state of doubt. What, though, is the value of measurement uncertainty? What (...) is its numerical value: how does one calculate it? What is its epistemic value: how one should interpret a measurement result? Firstly, we describe the statistical models that scientists make use of in contemporary metrology to perform an uncertainty analysis, and we show that the issue of the interpretation of probabilities is vigorously debated. This debate brings out epistemological issues about the nature and function of physical measurements, metrologists insisting in particular on the subjective aspect of measurement. Secondly, we examine the philosophical elaboration of metrologists in their technical works, where they criticize the use of the notion of “true value” of a physical quantity. We then challenge this elaboration and defend such a notion. The third part turns to a specific use of measurement uncertainty in order to address our thematic from the perspective of precision physics, considering the activity of the adjustments of physical constants. In the course of this activity, physicists have developed a dynamic conception of the accuracy of their measurement results, oriented towards a future progress of knowledge, and underlining the epistemic virtues of a never-ending process of identification and correction of measurement errors. (shrink)

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.

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 (...) semi-negations. (shrink)

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 (...) recalling the theoretical background of logical charity, we suggest a four-valued logic of acceptance and rejection (hereafter: AR4); then we explain how such a non-referential semantics does justice both to the champions of logical charity and its opponents. While endorsing coherence as a precondition for rationality, we argue that such a criterion does not entail that classical logic is a necessary conceptual scheme to interpret the others' beliefs. A better application of charity should take account of the questions implicitly asked by a statement, and we bring these questions out in replacing Quine's truth-functions by Quine’s verdict functions while emphasizing upon their varying degrees of strength. (shrink)

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 (...) in Aristotle's traditional logic. Following Abelard’s distinction between two alternative readings of the O-vertex: Non omnis and Quidam non, a logical difference is made between negation and denial by means of a more fine- grained modal analysis. A consistent treatment of assertoric oppositions is thus made possible by an underlying abstract theory of logical opposition, where the central concept is negation. A parallel is finally drawn between opposition and consequence, laying the ground for future works on an abstract operator of opposition that would characterize logical negation just as does Tarski’s operator of consequence for logical truth. (shrink)

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.

Teachers encountered numerous challenges posed by the COVID-19 outbreak. Herewith, this study aimed to determine the challenges encountered by Filipino teachers in the new normal and their coping mechanisms. This study employed a qualitative inquiry to determine the challenges encountered and coping mechanisms employed by teachers amid modular instruction, involving 10 teachers from five secondary schools in the Philippines who participated voluntarily. Data were gathered through a written narrative from each participant and were analyzed thematically. Themed findings showed that these (...) teachers are greatly challenged in terms of learning quality transfer, module distribution and retrieval, students’ difficulties in following instruction, power disruption, internet connection, and health risks posed by the pandemic. Nevertheless, these teachers dealt with these difficulties by employing their own coping techniques. Teaching can be challenging and frustrating, especially in these difficult times, but as these teachers demonstrated, everything is possible. Hence, educators must be ready for any situation that may arise. This situation is unlikely to get better anytime soon; instead, teachers will need to adjust to and accept this reality. (shrink)

We investigate claims about the frequency of "know" made by philosophers. Our investigation has several overlapping aims. First, we aim to show what is required to confirm or disconfirm philosophers’ claims about the comparative frequency of different uses of philosophically interesting expressions. Second, we aim to show how using linguistic corpora as tools for investigating meaning is a productive methodology, in the sense that it yields discoveries about the use of language that philosophers would have overlooked if they remained in (...) their "armchairs of an afternoon", to use J.L. Austin’s phrase. Third, we discuss facts about the meaning of "know" that so far have been ignored in philosophy, with the aim of reorienting discussions of the relevance of ordinary language for philosophical theorizing. (shrink)

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.

There is a history of thinking that photographs provide a special kind of access to the objects depicted in them, beyond the access that would be provided by a painting or drawing. What is included in the photograph does not depend on the photographer’s beliefs about what is in front of the camera. This feature leads Kendall Walton to argue that photographs literally allow us to see the objects which appear in them. Current generative algorithms produce images in response to (...) users’ text prompts. Depending on the parameters, the output can resemble specific people or things which are named in the prompt. This resemblance does not depend on the user’s beliefs, so generated images are in this sense like photographs. Given this parallel, how should we think about AI-generated images? (shrink)

Nous proposons une logique épistémique quadrivalente AR4.

In this paper I am addressing the question whether Nāgārjuna’s doctrine should be understood as a theory that describes reality itself (ontology) or as a theory of our relation to reality (epistemological, logical, psychological, etc.). To answer this question, I propose to compare Nāgārjuna’s concept of emptiness to that of ‘caducity’, a key element in the ontology of Renaissance Neoplatonist philosopher Francisco Patrizi. By showing that these concepts are similar, I argue that Nāgārjuna’s standpoint can be considered as that of (...) ontology. (shrink)

One of the most prolific approaches to the comparative study of Buddhist and Christian philosophy has been the use of Buddhist anti-metaphysicism to overcome the allegedly obsolete metaphysical discourse of Christianity. This approach has been practiced, among others, by Edgar Bruns, Frederik Streng, Joseph O'Leary, and John Keenan. Keenan's 1980–1990s seminal works were determinative in that they appeared to rely on intuitive and evident premises: Christianity became infused with Greek metaphysical concepts early on; consequently, it adopted the forms of essentialism (...) and ontological discourse practiced in metaphysics. That discourse has now become obsolete and must be overcome; Buddhist anti-metaphysicism helps overcome it; hence, Christianity can learn from Buddhism. In this paper, I show that although Keenan presents the first of these claims as self-evident, it is in fact highly polemical. Its origins lie in Albrecht Ritschl's and Adolf von Harnack's Hellenization theory. While the theological and historical background to this theory has been debated, Keenan does not engage in these debates. Even more, he transforms the theory in such a way that it becomes incongruent with its inherent aim. Following the problems implied on these two levels, I suggest that Keenan's project makes itself vulnerable to incoherencies. In the end, I argue for the overcoming of antimetaphysicism as a basis for Buddhist-Christian dialogue. (shrink)

Is Yogācāra a system of idealist metaphysics or a theory of experience without metaphysical commitments? An increasing amount of literature has argued, since the 1980s, in favor of the second answer. In this paper, I propose to review the background to the question. In fact, most of the attempts to answer the question have been made with reference to Buddhist texts and concepts. However, labels such as “idealism” emerged from Western philosophy and are reflective of specific historical situations and problems. (...) Extending their use to other contexts requires that these specificities are taken into account. Building on an historical survey, I suggest that some essential features of Yogācāra correspond to features of an ancient Greek tradition of metaphysics that has been characterized as idealist: Neoplatonism. On this basis, I come back to the initial question and argue in favor of the idealist interpretation. (shrink)

A general framework for translating various logical systems is presented, including a set of partial unary operators of affirmation and negation. Despite its usual reading, affirmation is not redundant in any domain of values and whenever it does not behave like a full mapping. After depicting the process of partial functions, a number of logics are translated through a variety of affirmations and a unique pair of negations. This relies upon two preconditions: a deconstruction of truth-values as ordered and structured (...) objects, unlike its mainstream presentation as a simple object; a redefinition of the Principle of Bivalence as a set of four independent properties, such that its definition does not equate with normality. (shrink)

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 (...) non-Fregean semantics that redefines the logical values of various sorts of sentences. A num- ber of topics are then addressed in the light of this algebraic semantics, namely: how to construct value-functional operators for any logical opposition, beyond the classical case of contradiction; Blanché's "closure problem", i.e., how to find a complete structure connecting the sixteen binary sentences with one another. All of this is meant to devise an abstract theory of opposition: it encompasses the relation of consequence as subalternation, while relying upon the use of a primary "proto- negation" that turns any relatum into an opposite. This results in sentential negations that proceed as intensional operators, while negation is broadly viewed as a difference-forming operator without special constraints on it. (shrink)

In this paper I offer an argument against one important version of panentheism, that is, mereological panentheism. Although panentheism has proven difficult to define, I provide a working definition of the view, and proceed to argue that given this way of thinking about the doctrine, mereological accounts of panentheism have serious theological drawbacks. I then explore some of these theological drawbacks. In a concluding section I give some reasons for thinking that the classical theistic alternative to panentheism is preferable, all (...) things considered. (shrink)

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.

Assuming that a paralogism is an unintentionally invalid reasoning, we give an exampli.

Attributions of omnipresence, most familiar within the philosophy of religion, typically take the omnipresence of an entity to either consist in that entity's occupation of certain regions or be dependent upon other of that entity's attributes, such as omnipotence or omniscience. This paper defends an alternative conception of omnipresence that is independent of other purported divine attributes and dispenses with occupation. The resulting view repurposes the metaphysics of necessitism and permanentism, taking omnipresent entities to be those entities that exist at (...) all regions. This view is then shown to best accommodate attributions of omnipresence to a diverse range of metaphysical posits, like abstract entities, and a more diverse class of religious posits. (shrink)

The study assessed the conceptual understanding and attitude toward fractions of teacher education students in a socio-constructivist learning environment. Specifically, it determined the students’ level of conceptual understanding before and after instruction; verified the types of conceptual changes that occurred; and ascertained the attitude of students toward fractions before and after instruction and its relationship to their levels of understanding. Descriptive-correlational research method was used. Socio-constructivist context-based teaching method was employed to introduce the concept of fractions. Achievement tests and interviews (...) were administered to determine the students’ level of conceptual understanding. Conceptual analysis based on Jensen and Finley’s (1995) method with Tiberghien’s (1994) classification of changes was utilized to describe students’ conceptual understanding and conceptual changes. In order to determine their attitude on fractions, students were asked to answer the socio-constructivist attitude questionnaire. The level of conceptual understanding of teacher education students in fraction was functional misconception and partial understanding before and after instruction, respectively. The type of conceptual change that occurred among teacher education students was change for the better. Socio-constructivist learning more likely to improve students’ attitudes toward fractions; promoted prosocial behavior among students; and tend to increase students’ activeness in the classroom activities as evidenced. (shrink)

Past research has found that the value of a person's activities can affect observers' judgments about whether that person is experiencing certain emotions (e.g., people consider morally good agents happier than morally bad agents). One proposed explanation for this effect is that emotion attributions are influenced by judgments about fittingness (whether the emotion is merited). Another hypothesis is that emotion attributions are influenced by judgments about the agent's true self (whether the emotion reflects how the agent feels “deep down”). We (...) tested these hypotheses in six studies. After finding that people think a wide range of emotions can be fitting and reflect a person's true self (Study 1), we tested the predictions of these two hypotheses for attributions of happiness, love, sadness, and hatred. We manipulated the emotions' fittingness (Studies 2a-b and 4) and whether the emotions reflected an agent's true self (Studies 3 and 5), measuring emotion attributions as well as fittingness judgments and true self judgments. The fittingness manipulation only impacted emotion attributions in the cases where it also impacted true self judgments, whereas the true self manipulation impacted emotion attribution in all cases, including those where it did not impact fittingness judgments. These results cast serious doubt on the fittingness hypothesis and offer some support for the true self hypothesis, which could be developed further in future work. -/- . (shrink)

Theoretical ethics includes both metaethics (the meaning of moral terms) and normative ethics (ethical theories and principles). Practical ethics involves making decisions about every day real ethical problems, like decisions about euthanasia, what we should eat, climate change, treatment of animals, and how we should live. It utilizes ethical theories, like utilitarianism and Kantianism, and principles, but more broadly a process of reflective equilibrium and consistency to decide how to act and be.

The Ockhamist claims that our ability to do otherwise is not endangered by God’s foreknowledge because facts about God’s past beliefs regarding future contingents are soft facts about the past—i.e., temporally relational facts that depend in some sense on what happens in the future. But if our freedom, given God’s foreknowledge, requires altering some fact about the past that is clearly a hard fact, then Ockhamism fails even if facts about God’s past beliefs are soft. Recent opponents of Ockhamism, including (...) David Widerker and Peter van Inwagen, have argued along precisely these lines. Their arguments, if successful, would undermine Ockhamism while avoiding the controversy over the alleged softness of facts about God’s past beliefs. But these arguments do not succeed. The past facts they rely on must be clear and uncontroversial examples of hard facts about the past, and these facts must be such that an ability to refrain from the relevant future action implies an ability to alter the relevant hard fact. We demonstrate the flaw in these arguments by showing how they rely on past facts that do not satisfy these criteria. The Ockhamist may have troubles, but this type of argument is not one of them. (shrink)

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 (...) same way as in dialogical logic, but it should also present truth-values in an alternative sense of speech-acts occurring in a dialogue. The relativity of truth-values is focused by this way, thereby leading to an additional way of logical pluralism. (shrink)

The aim of this paper is to make sense of the Keynes–Johnson octagon of oppositions. We will discuss Keynes' logical theory, and examine how his view is reflected on this octagon. Then we will show how this structure is to be handled by means of a semantics of partition, thus computing logical relations between matching formulas with a semantic method that combines model theory and Boolean algebra.

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.

Mathematics is considered one of the most challenging courses for many elementary pre-service teachers (EPTs). In hopes for improvement, teacher educators have been incorporating a jigsaw strategy to equip future teachers with the necessary competencies. Hence, the study aimed to determine the effectiveness of the jigsaw strategy with EPTs’ level of mathematics achievement and interest in an online cooperative learning environment. The research utilized a pre-experimental design with 40 participants. The researchers used pretest and posttest questions covering fraction operations and (...) a mathematics interest questionnaire before and after the intervention. With the implementation of the jigsaw strategy, results showed that the EPTs’ mathematics achievement improved while their interest in mathematics improved to some extent. Likewise, a significant difference between the pre-and post-intervention concerning the EPTs’ mathematics achievement and interest in mathematics was found. Furthermore, correlation analysis revealed that study time is negatively related to mathematics achievement, as is the overall level of interest in mathematics. These findings imply that a jigsaw strategy is a useful tool in teaching mathematics online. However, several modifications may be considered to recognize that the EPTs’ interest in mathematics varies from one person to another. Teacher education institutions are encouraged to apply this strategy not only for EPTs to increase their mathematical know-hows but also to serve as an example for them to employ in their future teaching careers. (shrink)

Background Retraction is a mechanism for alerting readers to unreliable material and other problems in the published scientific and scholarly record. Retracted publications generally remain visible and searchable, but the intention of retraction is to mark them as “removed” from the citable record of scholarship. However, in practice, some retracted articles continue to be treated by researchers and the public as valid content as they are often unaware of the retraction. Research over the past decade has identified a number of (...) factors contributing to the unintentional spread of retracted research. The goal of the Reducing the Inadvertent Spread of Retracted Science: Shaping a Research and Implementation Agenda (RISRS) project was to develop an actionable agenda for reducing the inadvertent spread of retracted science. This included identifying how retraction status could be more thoroughly disseminated, and determining what actions are feasible and relevant for particular stakeholders who play a role in the distribution of knowledge. -/- Methods These recommendations were developed as part of a year-long process that included a scoping review of empirical literature and successive rounds of stakeholder consultation, culminating in a three-part online workshop that brought together a diverse body of 65 stakeholders in October–November 2020 to engage in collaborative problem solving and dialogue. Stakeholders held roles such as publishers, editors, researchers, librarians, standards developers, funding program officers, and technologists and worked for institutions such as universities, governmental agencies, funding organizations, publishing houses, libraries, standards organizations, and technology providers. Workshop discussions were seeded by materials derived from stakeholder interviews (N = 47) and short original discussion pieces contributed by stakeholders. The online workshop resulted in a set of recommendations to address the complexities of retracted research throughout the scholarly communications ecosystem. -/- Results The RISRS recommendations are: (1) Develop a systematic cross-industry approach to ensure the public availability of consistent, standardized, interoperable, and timely information about retractions; (2) Recommend a taxonomy of retraction categories/classifications and corresponding retraction metadata that can be adopted by all stakeholders; (3) Develop best practices for coordinating the retraction process to enable timely, fair, unbiased outcomes; and (4) Educate stakeholders about pre- and post-publication stewardship, including retraction and correction of the scholarly record. -/- Conclusions Our stakeholder engagement study led to 4 recommendations to address inadvertent citation of retracted research, and formation of a working group to develop the Communication of Retractions, Removals, and Expressions of Concern (CORREC) Recommended Practice. Further work will be needed to determine how well retractions are currently documented, how retraction of code and datasets impacts related publications, and to identify if retraction metadata (fails to) propagate. Outcomes of all this work should lead to ensuring retracted papers are never cited without awareness of the retraction, and that, in public fora outside of science, retracted papers are not treated as valid scientific outputs. (shrink)

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 (...) wide variety of epistemic norms. After comparing the different norms of justification involved in these logical systems, two hexagons expressing Aristotelian relations of opposition will be gathered in order to clarify how (a fragment of) pragmatic formulas can be interpreted in a fuzzy-based question-answer semantics. (shrink)

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 (...) of God in set-theoretic terms, such that the antinomy that follows from such an assumption can be overcome by assuming that God is not a subject but a strict class that cannot be individuated. I conclude that that the self-contradictory nature of God does not prevent the believer from making a rational, ethical assessment that the contradiction resides in the possibility of using language to explain his existence, but that this does not make belief in the existence of God unjustifiable – on the contrary. In this way, we can say statements that claim God exists are justifiable. (shrink)

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 (...) import, the third one being trivial and rule out the squares where at least one relation does not hold. This leads to the following results: (1) three squares are valid when the domain is non-empty; (2) one of them is valid even in the empty domain: the square can thus be saved in arbitrary domains and (3) the aforementioned eight propositions give rise to a cube, which contains two more (non-classical) valid squares and several hexagons. A classical solution to the problem of existential import is thus possible, without resorting to deviant systems and merely relying upon the symbolism of First-order Logic (FOL). Aristotle’s system appears then as a fragment of a broader system which can be developed by using FOL. (shrink)

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 (...) philosophy, let us return to the reasons to be reluctant at it. (shrink)

This essay examines the possibility that phenomenological laws might be implemented by a computational mechanism by carefully analyzing key passages from the Prolegomena to Pure Logic. Part I examines the famous Denkmaschine passage as evidence for the view that intuitions of evidence are causally produced by computational means. Part II connects the less famous criticism of Avenarius & Mach on thought-economy with Husserl's 1891 essay 'On the Logic of Signs (Semiotic).' Husserl is shown to reaffirm his earlier opposition to associationist (...) (Humean) and adaptationist (Darwinian) explanations of our thought-machine on the ground that they cannot reconstruct the notion of truth and its syntactic mental preservation in symbolic thought-trains. Part III reveals Husserl's interesting commitment to the idea that descriptive sciences necessarily transform into explanatory sciences on pain of contradicting the essence of science as a rational ideal. Since explanation in relation to phenomenology means causal explanation, and causal explanation in the form of the Denkmaschine accounts for phenomenological intuition, it is inferred that the rationally compelling ideal of explanatory science requires a computationalist reading of the subsequent logical investigations. (shrink)