Alexander of Aphrodisias: On Aristotle Prior Analytics 1.1-7


Book Description

Alexander of Aphrodisias, who flourished c. 200AD, was the leading Peripatetic philosopher of his age. Most of his philosophical energies were spent in commenting upon Aristotle: his commentary on the Prior Analytics remains one of the most thorough and helpful guides to this difficult work; in addition, the commentary preserves invaluable information about various aspects of Stoic logic, and it also presents a picture of categorical syllogistic at a turning point in its historical development. This volume contains a translation of the first third of the commentary - the part dealing with non-modal syllogistic. The translation is preceded by a substantial introduction which discusses Alexander's place in the commentatorial tradition and his use of logical terminology. The book is completed by a translation of the pertinent part of the Prior Analytics, a summary account of categorical syllogistic, and a set of indexes.




Alexander of Aphrodisias: On Aristotle Prior Analytics 1.23-31


Book Description

In the second half of book 1 of the Prior Analytics, Aristotle reflects on the application of the formalized logic he has developed in the first half, focusing particularly on the non-modal or assertoric syllogistic developed in the first seven chapters. These reflections lead Alexander of Aphrodisias, the great late second-century AD exponent of Aristotelianism, to explain and sometimes argue against subsequent developments of Aristotle's logic and alternatives and objections to it, ideas associated mainly with his colleague Theophrastus and with the Stoics. The other main topic of this part of the Prior Analytics is the specification of a method for discovering true premises needed to prove a given proposition.Aristotle's presentation is sometimes difficult to follow, and Alexander's discussion is extremely helpful to the uninitiated reader. In his commentary on the final chapter translated in this volume, Alexander provides an insightful account of Aristotle's criticism of Plato's method of division.




Alexander of Aphrodisias: On Aristotle Prior Analytics 1.32-46


Book Description

The last 14 chapters of book 1 of Aristotle's "Prior Analytics" are concerned with the representation in the formal language of syllogistic of propositions and arguments expressed in more or less everyday Greek. In his commentary on those chapters, "Alexander of Aphrodisias" explains some of Aristotle's more opaque assertions and discusses post-Aristotelian ideas in semantics and the philosophy of language. In doing so he provides an unusual insight into the way in which these disciplines developed in the Hellenistic era. He also shows a more sophisticated understanding of these fields than Aristotle himself, while remaining a staunch defender of Aristotle's emphasis on meaning as opposed to Stoics concern with verbal formulation. In his commentary on the final chapter of book 1 Alexander offers a thorough discussion of Aristotle's distinction between denying that something is, for example, white and asserting that it is non-white.




Alexander of Aphrodisias: On Aristotle Prior Analytics 1.14-22


Book Description

The commentary of Alexander of Aphrodisias on Aristotle's Prior Analytics 1.8-22 is a very important text, being the main ancient commentary with chapters in which Aristotle invented modal logic - the logic of propositions about what is necessary or contingent (possible). The first volume of Ian Mueller's translation covered chapters 1.8-13, and reached as far as the chapter in which Aristotle discussed the notion of contingency. In this, the second volume, the 'greatest' commentator, Alexander, concludes his discussion of Aristotle's modal logic. Aristotle also invented the syllogism, a style of argument involving two premises and a conclusion. Modal propositions can be deployed in syllogisms, and in the chapters included in this volume Aristotle discusses all the syllogisms containing at least one contingent premiss. In each volume, Ian Mueller provides a comprehensive explanation of Alexander's commentary on modal logic as a whole.




Alexander of Aphrodisias: On Aristotle Prior Analytics: 1.8-13 (with 1.17, 36b35-37a31)


Book Description

The commentary of Alexander of Aphrodisias on Aristotle's Prior Analytics 1.8-22 is the main ancient commentary, by the 'greatest' commentator, on the chapters of the Prior Analytics in which Aristotle invented modal logic - the logic of propositions about what is necessary or contingent (possible). In this volume, which covers chapters 1.8-13, Alexander of Aphrodisias reaches the chapter in which Aristotle discusses the notion of contingency. Also included in this volume is Alexander's commentary on that part of Prior Analytics 1.17 which explains the conversion of contingent propositions (the rest of 1.17 is included in the second volume of Mueller's translation). Aristotle also invented the syllogism, a style of argument involving two premises and a conclusion. Modal propositions can be deployed in syllogism, and in the chapters included in this volume Aristotle discusses syllogisms consisting of two necessary propositions as well as the more controversial ones containing one necessary and one non-modal premiss. The discussion of syllogisms containing contingent propositions is reserved for Volume 2. In each volume, Ian Mueller provides a comprehensive explanation of Alexander's commentary on modal logic as a whole.




Aristotle's Prior Analytics Book I


Book Description

The Prior Analytics marks the beginning of formal logic, and is one of the most influential works in the history of thought. It is here that Aristotle sets out his system of syllogistic reasoning. The first book, to which this volume is devoted, offers a coherent presentation of Aristotle's logic as a general theory of deductive argument.




Aristotle's Prior Analytics book I


Book Description

Aristotle's Prior Analytics marks the beginning of formal logic. For Aristotle himself, this meant the discovery of a general theory of valid deductive argument, a project that he had described as either impossible or impracticable, probably not very long before he actually came up with syllogistic reasoning. A syllogism is the inferring of one proposition from two others of a particular form, and it is the subject of the Prior Analytics. The first book, to which this volume is devoted, offers a fairly coherent presentation of Aristotle's logic as a general theory of deductive argument.




David the Invincible, Commentary on Aristotle's Prior Analytics


Book Description

This edition of David the Invincible’s Commentary on the Prior Analytics, surviving only in an old Armenian translation from Greek, includes a revised critical text and the first English translation of the work, textual parallels with other commentaries, trilingual glossaries and other material useful to specialists.




Arabic Logic from al-Fārābī to Averroes


Book Description

This monograph explores the logical systems of early logicians in the Arabic tradition from a theoretical perspective, providing a complete panorama of early Arabic logic and centering it within an expansive historical context. By thoroughly examining the writings of the first Arabic logicians, al-Fārābī, Avicenna and Averroes, the author analyzes their respective theories, discusses their relationship to the syllogistics of Aristotle and his followers, and measures their influence on later logical systems. Beginning with an introduction to the writings of the most prominent Arabic logicians, the author scrutinizes these works to determine their categorical logic, as well as their modal and hypothetical logics. Where most other studies written on this subject focus on the Arabic logicians’ epistemology, metaphysics, and theology, this volume takes a unique approach by focusing on the actual technical aspects and features of their logics. The author then moves on to examine the original texts as closely as possible and employs the symbolism of modern propositional, predicate, and modal logics, rendering the arguments of each logician clearly and precisely while clarifying the theories themselves in order to determine the differences between the Arabic logicians’ systems and those of Aristotle. By providing a detailed examination of theories that are still not very well-known in Western countries, the author is able to assess the improvements that can be found in the Arabic writings, and to situate Arabic logic within the breadth of the history of logic. This unique study will appeal mainly to historians of logic, logicians, and philosophers who seek a better understanding of the Arabic tradition. It also will be of interest to modern logicians who wish to delve into the historical aspects and progression of their discipline. Furthermore, this book will serve as a valuable resource for graduate students who wish to complement their general knowledge of Arabic culture, logic, and sciences.




Ways into the Logic of Alexander of Aphrodisias


Book Description

Ways into the Logic of Alexander of Aphrodisias is intended to give an overview of the logic of Alexander of Aphrodisias (fl. early 3rd century A.D.). Since much of what might be called Alexander's logic is simply Aristotelian logic, instead of engaging in point-by-point analysis, it takes up three themes, one from each of the main areas of traditional logic: the assertoric syllogistic, the modal syllogistic, and the area of metalogical concerns. It provides insight not only into Aristotle's logical writings themselves but also into the tradition of scholarship which they spawned: the ideas and analyses of such figures as Theophrastus of Eresus, John Philoponus and (more recently) Jan Lukasiewicz.