This book explores noteworthy approaches to modal syllogistic adopted by medieval logicians including Abélard, Albert the Great, Avicenna, Averröes, Jean Buridan, Richard Campsall, Robert Kilwardby, and William of Ockham. The book situates these approaches in relation to Aristotle's discussion in the Prior and Posterior Analytics, and other parts of the Organon, but also in relation to the thought of Alexander of Aphrodisias and Boethius on the one hand, and to modern interpretations of the modal syllogistic on the other. Problems explored (...) include: Aristotle's doctrine of modal conversion, the pure and mixed necessity-moods, modal ecthesis, the pure and mixed contingency-moods, and Aristotle's use of counter-examples. Medieval logicians brought various concepts to bear on these problems, including the distinction between per se and per accidens terms, the notion of essential predication, the distinction between ut nunc and simpliciter propositions, the distinction between de dicto and de re modals, and the notion of ampliation. All these are examined in this book. (shrink)

The paper provides some introductory comments and a preliminary translation of Avicenna’s Burhān, IV, 2. I shall first set the stage by outlining the structure of the book (sec. 1). I will then briefly introduce (sec. 2) a number of notions that are dealt with in the first treatise of the Burhān (e.g. definition, description). Burhān, IV, 2 is split into two parts: the first focuses mainly on Aristotle’s An. Post., B, 4, whereas the second covers some of the topics (...) of B, 5 and B, 6. Accordingly, sec. 3 will be devoted to a cursory presentation of Aristotle’s arguments in An. Post., B, 4 along with a more detailed discussion of its Avicennan counterpart, focusing on the indemonstrability of definition; sec. 4, finally, will be a presentation of the second part of the chapter, concerning the relationship between definition and division. An English translation of the entire chapter is appended to the paper and is accompanied by some notes. (shrink)

In the thirteenth century, the influential logician Afḍal al-Dīn al-Khūnajī departed from the Avicennan view that the subject matter of logic is “second intentions”. For al-Khūnajī, the subject matter of logic is “the objects of conception and assent”. His departure elicited intense and sometimes abstruse discussions in the course of subsequent centuries. Prominent supporters of Khūnajī's view on the subject matter of logic included Kātibī, Ibn Wāṣil and Taftāzānī. Defenders of Avicenna's view included Ṭūsī, Samarqandī and Quṭb al-Dīn al-Rāzī. This (...) article presents the outline of the development of this discussion down to the end of the fourteenth century and attempts to reconstruct the major arguments of both sides.Au xiiie siècle, l'influent logicien, Afḍal al-Dīn al-Khūnajī, se démarque du point de vue avicennien d'après lequel ce sont les “intentions secondes” qui forment le sujet de la logique. Pour al-Khūnajī, le sujet de la logique, ce sont “les objets des conceptions et des assentiments”. Cet écart par rapport à la formulation avicennienne va susciter, au cours des siècles suivants, d'intenses et parfois abstruses discussions. Dans le camp de ceux qui adhèrent au point de vue d'al-Khūnajī, on trouve des auteurs tels que Kātibī, Ibn Wāṣil et Taftāzānī. En revanche, Ṭūsī, Samarqandī et Quṭb al-Dīn al-Rāzī se rangent dans le camp des défenseurs du point de vue d'Avicenne. Cet article présente les grandes lignes qui marquent le développement de cette discussion jusqu'à la fin du xive siècle et tente de reconstruire les arguments des deux partis.Send article to KindleTo send this article to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle. Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply. Find out more about the Kindle Personal Document Service.POST-AVICENNAN LOGICIANS ON THE SUBJECT MATTER OF LOGIC: SOME THIRTEENTH- AND FOURTEENTH-CENTURY DISCUSSIONSVolume 22, Issue 1Khaled El-Rouayheb DOI: https://doi.org/10.1017/S0957423911000105Your Kindle email address Please provide your Kindle [email protected]@kindle.com Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Dropbox To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Dropbox. POST-AVICENNAN LOGICIANS ON THE SUBJECT MATTER OF LOGIC: SOME THIRTEENTH- AND FOURTEENTH-CENTURY DISCUSSIONSVolume 22, Issue 1Khaled El-Rouayheb DOI: https://doi.org/10.1017/S0957423911000105Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Send article to Google Drive To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about sending content to Google Drive. POST-AVICENNAN LOGICIANS ON THE SUBJECT MATTER OF LOGIC: SOME THIRTEENTH- AND FOURTEENTH-CENTURY DISCUSSIONSVolume 22, Issue 1Khaled El-Rouayheb DOI: https://doi.org/10.1017/S0957423911000105Available formats PDF Please select a format to send. By using this service, you agree that you will only keep articles for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services. Please confirm that you accept the terms of use. Cancel Send ×Export citation Request permission. (shrink)

This book is about a Muslim Shi’i philosopher of the early 16th century, Najm al-Din Mahmud al-Nayrizi.

The principle that a necessarily false proposition implies any proposition, and that a necessarily true proposition is implied by any proposition, was apparently first propounded in twelfth century Latin logic, and came to be widely, though not universally, accepted in the fourteenth century. These principles seem never to have been accepted, or even seriously entertained, by Arabic logicians. In the present study, I explore some thirteenth century Arabic discussions of conditionals with impossible antecedents. The Persian-born scholar Afdal al-Dīn al-Kh najī (...) (d.1248) suggested the novel idea that two contradictory propositions may follow from the same impossible antecedent, and closely related to this point, he suggested that if an antecedent implies a consequent, then it will do so no matter how it is strengthened. These ideas led him, and those who followed him, to reject what has come to be known as 'Aristotle's thesis' that no proposition is implied by its own negation. Even these suggestions were widely resisted. Particularly influential were the counter-arguments of Na īr al-Dīn al-T ī (d.1274). (shrink)

Relational inferences are a well-known problem for Aristotelian logic. This book charts the development of thinking about this problem by logicians writing in Arabic from the ninth to the nineteenth century. It shows that that the development of Arabic logic did not - as is often supposed - come to an end in the fourteenth century.

Arabic contributions to medicine, mathematics, astronomy, and other fields have been extensively studied, yet Arabic logic has never been systematically investigated. In this book, Nicholas Rescher sheds new light on the major philosophical contribution of Arab logicians. He provides a historical account of the evolution of Arabic logic, from its inception in the early ninth century through the sixteenth century, when these tenets gained wide acceptance. The book also includes a bio-bibliography of 170 Arabic logicians, and a discussion of the (...) place of each within the overall scheme of developments. (shrink)

In this volume, fourteen scholars, many of them contemporaries of Professor Frank, engage with his legacy with important and seminal works which take some of ...

Considers the literary genres in which logical texts were written in the post-classical period. Articles describe the kinds of texts that were written and the implications for educational practices, as well as the continuities and developments between one language culture and another.".

Through close study of Avicenna's statements and major works, Dimitri Gutas traces Avicenna's own sense of his place in the Aristotelian tradition and the history of philosophy in Islam, and provides an introduction to reading his philosophical works by delineating the approach most consistent with Avicenna's intention and purpose in philosophy. The second edition of this foundational work, which has quickened fruitful research into the philosopher in the last quarter century, is completely revised and updated, and adds a new final (...) chapter summarizing Avicenna's philosophical project. It is also enlarged with the addition of a new appendix which offers a critical inventory of Avicenna's authentic works, updating the work of Mahdavi (1954) with additional information on all manuscripts and important editions and translations. Its usefulness enhanced, the book provides primary orientation to Avicenna's philosophy and works and constitutes an indispensable research tool for their study. (shrink)

In his Short Treatise and his Commentary on the Peri hermeneias, al-Fbī offers two different but related accounts of indefinite terms and the propositions that contain them. In both works he presents a series of different senses that an indefinite term may have, commencing with a sense in which such a term would be equivalent to a privative term, and concluding with a sense in which it would determine the logical complement of the corresponding definite term. I offer an interpretation (...) of this series according to which they reveal the workings of a fine analytical mind and a subtle teacher. (shrink)

Much attention has been given to Arabic thought in the history of philosophy, however, Arabic contributions to logic have been greatly overlooked. In the ten essays of this book, Nicholas Rescher presents substantial material on the history, progression and major trends of Arabic logic from the eighth through the sixteenth century. Rescher finds that, like much of Western thought, Arabic logic had its basis in Greek philosophy, and specifically in Hellenistic Aristotelian logic.

The eleventh-century philosopher and physician Abu Ali ibn Sina was known in the West by his Latinized name Avicenna. An analysis of the sources and evolution of Avicenna's metaphysics, this book focuses on the answers he and his predecessors gave to two fundamental pairs of questions: what is the soul and how does it cause the body; and what is God and how does He cause the world? To respond to these challenges, Avicenna invented new concepts and distinctions and reinterpreted (...) old ones. The author concludes that Avicenna's innovations are a turning point in the history of metaphysics. Avicenna's metaphysics is the culmination of a period of synthesis during which philosophers fused together a Neoplatonic project with a Peripatetic project. Avicenna also stands at the beginning of a period during which philosophers sought to integrate the Arabic version of the earlier synthesis with Islamic doctrinal theology. Avicenna's metaphysics significantly influenced European scholastic thought, but it had an even more profound impact on Islamic intellectual history—the philosophical problems and opportunities associated with the Avicennian synthesis continued to be debated up to the end of the nineteenth century. (shrink)

The Persian philosopher Atn al-Abharwriting mann al-sRevealing Thoughts’s various logics of complex terms with modern treatments.

This book explores the reaction of tenth-century Arab philosopher Abu Nasr Alfarabi to the logical works of Aristotle. From numerous short treatises the author develops a systematic and comprehensive topical survey of Alfara bi's logical writings. The book is divided into two major parts: language as a tool of logic and logic as a tool with which to analyze language. The first five chapters deal with Alfarabi's analysis of the meanings of various terms as they are used in logic and (...) philosophy. Alfarabi refutes the Arab grammarians who claimed that Arab logicians were building a language within a language and shows that the philosophical meanings of terms are in fact their most original and essential meanings. The final chapter deals with Alfarabi's analysis of certain aspects of the Arabic language and demonstrates that Arabic, like any natural language, conforms to universal logical structures of which natural languages are only a concrete expression. (shrink)

An inventory of his entire oeuvre provides detailed information on the extant manuscripts. The volume furthermore includes editions of nine of his writings.

étude et documents A. Elamrani-Jamal. VI AL-BATALYÛSÎ KITÂB AL MASÂ'IL WA-L-AJWIBA FÎ N-NAHW (Le livre des questions et des réponses en grammaire ) mas'ala (question) [Des rapports de la logique et de la grammaire] ...