... DE BRUXELLES) Comité de rédaction Directeur Gilbert HOTTOIS Membres Lambros COULOUBARITSIS Gu... more ... DE BRUXELLES) Comité de rédaction Directeur Gilbert HOTTOIS Membres Lambros COULOUBARITSIS Guy HAARSCHER Robert LEGROS Thierry LENAIN Michel ... De même l'analyse par Didier Debaise de la notion de perspective chez Whitehead explique pour quelles ...
L'auteur se propose de systématiser une réflexion leibnizienne sur l'imagination, et d... more L'auteur se propose de systématiser une réflexion leibnizienne sur l'imagination, et d'en souligner toute la fécondité pour le Grand rationalisme. D'après la théorie des idées, est imaginaire une perception confuse. La rupture entre image et réel surgit à travers une lecture de la doctrine des mondes possibles inactualisés, qui s'intéresse spécialement à l’exemplification de ceux-ci par des œuvres littéraires. La recherche de critères démarquant le monde réel des fantaisies donne matière à examiner la question de l'existence d’une extériorité. On conclue par quelques remarques où est précisé le rapport entre imagination et mathématiques.
The aim of this paper consists in asking whether Whitehead’s philosophy of organism would be a re... more The aim of this paper consists in asking whether Whitehead’s philosophy of organism would be a reenactment of Leibniz’s doctrine of internal relations. As this terminology depends on Russell’s reading of Leibniz, it is first necessary to restore the so-called thesis of reducibility of relations through the opposition of the main commentaries. Secondly, we distinguish Russell’s refusal of the axiom of internal relations from Moore’s criticism, which is rather related to the exclusiveness of this axiom. Thirdly, we follow Whitehead on relations from 1905 to 1925, agreeing with Russell about the untenable supremacy of the judgement of predication, but getting closer to Moore about the axiom, for the very reason that if there were any internal relation, there could be no process in the nature.
L’appropriation des differentes disciplines scolaires par les eleves suscite de nos jours une ref... more L’appropriation des differentes disciplines scolaires par les eleves suscite de nos jours une reflexion dont les enseignants de tous niveaux peuvent de moins en moins faire l’economie. Chacun des ensembles complexes de connaissances et de competences, dans les disciplines que l’ecole transmet, exige une didactique specialisee dans le cadre d’une formation universitaire des enseignants. Quels sont les liens qui unissent l’epistemologie et la didactique ? Quels sont les rapports entre les savoirs dits savants et la transmission de ces savoirs dans les differents systemes educatifs (France, Belgique, Suisse ou Quebec) ? Comment les envisager dans les champs disciplinaires, qu’il s’agisse des sciences, de l’histoire, de la litterature, de la linguistique, des langues, ou de l’education physique et sportive ? Comment integrer ces recherches a la formation des enseignants ? Dans quelle mesure peuvent-elles faire evoluer representations du metier, programmes, memoires, manuels et outils pe...
Cherchant a refonder l'edifice euclidien, Leibniz a formule une Caracteristique geometrique q... more Cherchant a refonder l'edifice euclidien, Leibniz a formule une Caracteristique geometrique qui annonce les concepts generaux de la theorie des ensembles. Dans ce cadre, il a pu en particulier formaliser sa conception du continu. L'interet du Pacidius Philalethi (1676) est de montrer qu'en choisissant la conception intensionnelle du continu -position qu'il ne dementira jamais- il selectionne parmi les images duales celle dont se deduit le changement qualitatif, base d'une philosophie naturelle qui soutiendra encore la dynamique ulterieure. Une tâche se dessine maintenant, soit deduire la necessite d'un mouvement universel et infiniment varie a partir de ses conditions topologiques.
Even if Leibniz didn’t have the opportunity to actually conceive an explicit modal logic system, ... more Even if Leibniz didn’t have the opportunity to actually conceive an explicit modal logic system, remains the fact that he had worked out a modal metaphysics, of which the inaugural act, in his Elementa juris naturalis (c. 1671) was an obvious reference to the Apulean square of opposition. Later, scholars acknowledged in this passage probably one of the first sketch of deontic logic of norms. His modal metaphysics rather deals with the so-called alethic modalities, sometimes expounded through a language such as R.M. Adams wondered whether Leibniz could be “a sort of grandfather of possible worlds semantics for modal logic”. In the following study, the Apulean square is used as a hermeneutic tool: however, is the square really well-fitted to express some basic implications of the modal metaphysics? The most remarkable point is that Leibniz was well aware of the K-distributive axiom □(p⊃q)⊃(□p⊃□q) common to the main modal systems today. This awareness dissuaded him to trust the too easy solution of the necessitarianism issue grounded on the well-known distinction coming from Boethius between a “necessitas consequentiae” and a “necessitas consequentis”.
The aim of this paper consists in asking whether Whitehead’s philosophy of organism would be a re... more The aim of this paper consists in asking whether Whitehead’s philosophy of organism would be a reenactment of Leibniz’s doctrine of internal relations. As this terminology depends on Russell’s reading of Leibniz, it is first necessary to restore the so-called thesis of reducibility of relations through the opposition of the main commentaries. Secondly, we distinguish Russell’s refusal of the axiom of internal relations from Moore’s criticism, which is rather related to the exclusiveness of this axiom. Thirdly, we follow Whitehead on relations from 1905 to 1925, agreeing with Russell about the untenable supremacy of the judgement of predication, but getting closer to Moore about the axiom, for the very reason that if there were any internal relation, there could be no process in the nature.
... I de L'analyse du langage à Port-Royal, six études logico-grammaticales, Paris, Minu... more ... I de L'analyse du langage à Port-Royal, six études logico-grammaticales, Paris, Minuit, 1985 ... à verser au crédit et au mérite exclusif de la perspicacité des Messieurs de Port-Royal, d'autant ... cause, chose qui n'aurait pas eu de sens dans une ligne de conduite augustinienne où il ...
1 Historical and Critical Aspects of the Square.- 2 Philosophical Discussions around the Square o... more 1 Historical and Critical Aspects of the Square.- 2 Philosophical Discussions around the Square of Opposition.- 3 The Square of Opposition and Non-Classical Logics.- 4 Constructions Generalizing the Square of Opposition.- 5 Applications of the Square of Opposition.
Theoria-revista De Teoria Historia Y Fundamentos De La Ciencia, 1997
We know that Leibniz intended to bring new foundations to the euclidean geometry and he has accor... more We know that Leibniz intended to bring new foundations to the euclidean geometry and he has according to this view formulate a Characteristica geometrica which announces few general concepts of set theory. Particularly he tried to formalise his conception of continuity. Before the main interest of the Pacidius Philalethi (1676) is here: showing us that Leibniz when he chooses an intensional conception of continuity he chooses in the same time the dual image from which he can deduce the qualitative variation. We reckon again these conception at the grounds of his later philosophy ofnature. But now we have to follow Leibniz demostrating how universal and infinite variationsflowfrom its topological conditions.
Un relecture de la critique des didacticiens des sciences à l'endroit du schéma OHERIC qui serait... more Un relecture de la critique des didacticiens des sciences à l'endroit du schéma OHERIC qui serait le seul modèle épistémologique de Claude Bernard.
... DE BRUXELLES) Comité de rédaction Directeur Gilbert HOTTOIS Membres Lambros COULOUBARITSIS Gu... more ... DE BRUXELLES) Comité de rédaction Directeur Gilbert HOTTOIS Membres Lambros COULOUBARITSIS Guy HAARSCHER Robert LEGROS Thierry LENAIN Michel ... De même l'analyse par Didier Debaise de la notion de perspective chez Whitehead explique pour quelles ...
L'auteur se propose de systématiser une réflexion leibnizienne sur l'imagination, et d... more L'auteur se propose de systématiser une réflexion leibnizienne sur l'imagination, et d'en souligner toute la fécondité pour le Grand rationalisme. D'après la théorie des idées, est imaginaire une perception confuse. La rupture entre image et réel surgit à travers une lecture de la doctrine des mondes possibles inactualisés, qui s'intéresse spécialement à l’exemplification de ceux-ci par des œuvres littéraires. La recherche de critères démarquant le monde réel des fantaisies donne matière à examiner la question de l'existence d’une extériorité. On conclue par quelques remarques où est précisé le rapport entre imagination et mathématiques.
The aim of this paper consists in asking whether Whitehead’s philosophy of organism would be a re... more The aim of this paper consists in asking whether Whitehead’s philosophy of organism would be a reenactment of Leibniz’s doctrine of internal relations. As this terminology depends on Russell’s reading of Leibniz, it is first necessary to restore the so-called thesis of reducibility of relations through the opposition of the main commentaries. Secondly, we distinguish Russell’s refusal of the axiom of internal relations from Moore’s criticism, which is rather related to the exclusiveness of this axiom. Thirdly, we follow Whitehead on relations from 1905 to 1925, agreeing with Russell about the untenable supremacy of the judgement of predication, but getting closer to Moore about the axiom, for the very reason that if there were any internal relation, there could be no process in the nature.
L’appropriation des differentes disciplines scolaires par les eleves suscite de nos jours une ref... more L’appropriation des differentes disciplines scolaires par les eleves suscite de nos jours une reflexion dont les enseignants de tous niveaux peuvent de moins en moins faire l’economie. Chacun des ensembles complexes de connaissances et de competences, dans les disciplines que l’ecole transmet, exige une didactique specialisee dans le cadre d’une formation universitaire des enseignants. Quels sont les liens qui unissent l’epistemologie et la didactique ? Quels sont les rapports entre les savoirs dits savants et la transmission de ces savoirs dans les differents systemes educatifs (France, Belgique, Suisse ou Quebec) ? Comment les envisager dans les champs disciplinaires, qu’il s’agisse des sciences, de l’histoire, de la litterature, de la linguistique, des langues, ou de l’education physique et sportive ? Comment integrer ces recherches a la formation des enseignants ? Dans quelle mesure peuvent-elles faire evoluer representations du metier, programmes, memoires, manuels et outils pe...
Cherchant a refonder l'edifice euclidien, Leibniz a formule une Caracteristique geometrique q... more Cherchant a refonder l'edifice euclidien, Leibniz a formule une Caracteristique geometrique qui annonce les concepts generaux de la theorie des ensembles. Dans ce cadre, il a pu en particulier formaliser sa conception du continu. L'interet du Pacidius Philalethi (1676) est de montrer qu'en choisissant la conception intensionnelle du continu -position qu'il ne dementira jamais- il selectionne parmi les images duales celle dont se deduit le changement qualitatif, base d'une philosophie naturelle qui soutiendra encore la dynamique ulterieure. Une tâche se dessine maintenant, soit deduire la necessite d'un mouvement universel et infiniment varie a partir de ses conditions topologiques.
Even if Leibniz didn’t have the opportunity to actually conceive an explicit modal logic system, ... more Even if Leibniz didn’t have the opportunity to actually conceive an explicit modal logic system, remains the fact that he had worked out a modal metaphysics, of which the inaugural act, in his Elementa juris naturalis (c. 1671) was an obvious reference to the Apulean square of opposition. Later, scholars acknowledged in this passage probably one of the first sketch of deontic logic of norms. His modal metaphysics rather deals with the so-called alethic modalities, sometimes expounded through a language such as R.M. Adams wondered whether Leibniz could be “a sort of grandfather of possible worlds semantics for modal logic”. In the following study, the Apulean square is used as a hermeneutic tool: however, is the square really well-fitted to express some basic implications of the modal metaphysics? The most remarkable point is that Leibniz was well aware of the K-distributive axiom □(p⊃q)⊃(□p⊃□q) common to the main modal systems today. This awareness dissuaded him to trust the too easy solution of the necessitarianism issue grounded on the well-known distinction coming from Boethius between a “necessitas consequentiae” and a “necessitas consequentis”.
The aim of this paper consists in asking whether Whitehead’s philosophy of organism would be a re... more The aim of this paper consists in asking whether Whitehead’s philosophy of organism would be a reenactment of Leibniz’s doctrine of internal relations. As this terminology depends on Russell’s reading of Leibniz, it is first necessary to restore the so-called thesis of reducibility of relations through the opposition of the main commentaries. Secondly, we distinguish Russell’s refusal of the axiom of internal relations from Moore’s criticism, which is rather related to the exclusiveness of this axiom. Thirdly, we follow Whitehead on relations from 1905 to 1925, agreeing with Russell about the untenable supremacy of the judgement of predication, but getting closer to Moore about the axiom, for the very reason that if there were any internal relation, there could be no process in the nature.
... I de L'analyse du langage à Port-Royal, six études logico-grammaticales, Paris, Minu... more ... I de L'analyse du langage à Port-Royal, six études logico-grammaticales, Paris, Minuit, 1985 ... à verser au crédit et au mérite exclusif de la perspicacité des Messieurs de Port-Royal, d'autant ... cause, chose qui n'aurait pas eu de sens dans une ligne de conduite augustinienne où il ...
1 Historical and Critical Aspects of the Square.- 2 Philosophical Discussions around the Square o... more 1 Historical and Critical Aspects of the Square.- 2 Philosophical Discussions around the Square of Opposition.- 3 The Square of Opposition and Non-Classical Logics.- 4 Constructions Generalizing the Square of Opposition.- 5 Applications of the Square of Opposition.
Theoria-revista De Teoria Historia Y Fundamentos De La Ciencia, 1997
We know that Leibniz intended to bring new foundations to the euclidean geometry and he has accor... more We know that Leibniz intended to bring new foundations to the euclidean geometry and he has according to this view formulate a Characteristica geometrica which announces few general concepts of set theory. Particularly he tried to formalise his conception of continuity. Before the main interest of the Pacidius Philalethi (1676) is here: showing us that Leibniz when he chooses an intensional conception of continuity he chooses in the same time the dual image from which he can deduce the qualitative variation. We reckon again these conception at the grounds of his later philosophy ofnature. But now we have to follow Leibniz demostrating how universal and infinite variationsflowfrom its topological conditions.
Un relecture de la critique des didacticiens des sciences à l'endroit du schéma OHERIC qui serait... more Un relecture de la critique des didacticiens des sciences à l'endroit du schéma OHERIC qui serait le seul modèle épistémologique de Claude Bernard.
The theory of oppositions based on Aristotelian foundations of logic has been pictured in a strik... more The theory of oppositions based on Aristotelian foundations of logic has been pictured in a striking square diagram which can be understood and applied in many different ways having repercussions in various fields: epistemology, linguistics, mathematics, sociology, physics. The square can also be generalized in other two-dimensional or multi-dimensional objects extending in breadth and depth the original Aristotelian theory. The square of opposition from its origin in antiquity to the present day continues to exert a profound impact on the development of deductive logic. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.
Traduction, en collaboration avec Jean-Pascal Alcantara et Jean-Marie Breuvart, d'un texte de Whi... more Traduction, en collaboration avec Jean-Pascal Alcantara et Jean-Marie Breuvart, d'un texte de Whitehead inédit en français et publié initialement l'année de la parution de Process and Reality (1929).
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The square of opposition from its origin in antiquity to the present day continues to exert a profound impact on the development of deductive logic. Since 10 years there is a new growing interest for the square due to recent discoveries and challenging interpretations. This book presents a collection of previously unpublished papers by high level specialists on the square from all over the world.