In this paper, I raise the following problem: How does Avicenna define modalities? What oppositional relations are there between modal propositions, whether quantified or not? After giving Avicenna's definitions of possibility, necessity and impossibility, I analyze the modal oppositions as they are stated by him. This leads to the following results: The relations between the singular modal propositions may be represented by means of a hexagon. Those between the quantified propositions may be represented by means of two hexagons that one (...) could relate to each other.This is so because the exact negation of the bilateral possible, i.e. ‘necessary or impossible’ is given and applied to the quantified possible propositions.Avicenna distinguishes between the scopes of modality which can be either external or internal . His formulations are external unlike al-F̄ar̄ab̄;’s ones. However his treatment of modal oppositions remains incomplete because not all the relations between the modal propositi.. (shrink)

This thesis is concerned with answering the question, what is the central argument of Avicenna’s Metaphysics of the Healing that brings its opening ontological approach to the subject of first philosophy to its ultimate theological goal and conclusion? This dissertation contends that it is the function of the fundamental scientific first principles of metaphysics, and in particular the fundamental primary notion necessary, to provide the intelligible link that Avicenna employs to demonstrate the existence and true-nature of the divine necessary existence (...) in itself on the basis of his doctrine of being. This conclusion is pursued through a systematic and cumulative line of inquiry that begins in Part I with Avicenna’s logical–cum–epistemological doctrine of conceptualization and assent, the heuristic order of the basic scientific questions, and his theory of a demonstrative science. The thesis then moves from the wider concentric circles concerned with logical matters into a series of narrowing concentric circles pertaining to the scientific order of the MH. Part II presents a close analysis of the Metaphysics of the Healing’s novel reception and reorganization of Aristotelian metaphysics according to Avicenna’s theory of demonstrative science, which consists in a subject, scientific first principles, and objects of inquiry that includes the species, proper accidents, and the science’s ultimate goal which is the aitiological–cum–theological inquiry into the causes of being. Part III transitions into a still narrower set of concentric circles that provide a detailed explication of the formal and material aspects of the scientific first principles of the Metaphysics of the Healing. Finally, the main argument of the thesis reaches the central point and question of the dissertation in Part IV, which establishes the fundamentality of the primary notion the necessary in the ontology, aitiology, and theology of the Avicenna’s Metaphysics of the Healing. Part IV concludes that the principal function of the fundamental primary notion the necessary is to provide the intelligible link that connects Avicenna’s doctrine of being with the divine necessary existence in itself. (shrink)

RésuméDans cet article, je pose le problème suivant: quelles propositions ont un import dans la logique modale d'Avicenne? Lesquelles n'en ont pas? Partant de l'assomption que les propositions singulières et quantifiées ont un import si elles requièrent l'existence de leur sujet pour être vraies, j'analyse d'abord l'import des propositions absolues, ensuite celui des propositions modales en tenant compte des définitions d'Avicenne et des relations entre ces propositions. Cette analyse conduit aux résultats suivants: Avicenne défend l'opinion générale selon laquelle les affirmatives, (...) qu'elles soient modales ou assertoriques, ont un import alors que les négatives n'en ont pas. Il attribue un import aux propositions possibles affirmatives aussi bien dans l'interprétation externaliste que dans l'interprétation internaliste des logiciens post-Avicenniens, pourvu que le sujet ne soit pas impossible. Toutefois, la théorie n'est pas toujours claire, car Avicenne attribue un import aux propositions contenant ‘parfois non’ et aux nécessaires négatives contenant ‘tant qu'il est P’ malgré leur caractère négatif; les propositions nécessaires affirmatives contenant ‘tant qu'il est P’ sont considérées comme ayant un import alors qu'elles ne l'exigent pas. De plus, l'analyse qu'il donne des assertoriques spéciales E et O et de leurs contradictoires est erronée, ce qui ne permet pas de déterminer clairement leur import. Mais quand elles sont correctement analysées, ces propositions E et O n'ont pas d'import, alors que leurs contradictoires – les assertoriques spéciales I et A respectivement – ont un import. (shrink)