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 1.23-31


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.




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.




On Aristotle's "Prior Analytics 1.32-46"


Book Description

"The last fourteen chapters of Book One of Aristotle's Prior Analytics are concerned with the representation in the formal language of syllogisitc of propositions and arguments expressed in more or less everyday Greek. In his commentary on these 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 the Stoic's concern with verbal formulation."--BOOK JACKET.




On Aristotle Prior Analytics 1.32-46


Book Description

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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.




Al-Farabi, Syllogism: An Abridgement of Aristotle’s Prior Analytics


Book Description

The philosopher Abu Nasr al-Farabi (c. 870-c. 950 CE) is a key Arabic intermediary figure. He knew Aristotle, and in particular Aristotle's logic, through Greek Neoplatonist interpretations translated into Arabic via Syriac and possibly Persian. For example, he revised a general description of Aristotle's logic by the 6th century Paul the Persian, and further influenced famous later philosophers and theologians writing in Arabic in the 11th to 12th centuries: Avicenna, Al-Ghazali, Avempace and Averroes. Averroes' reports on Farabi were subsequently transmitted to the West in Latin translation. This book is an abridgement of Aristotle's Prior Analytics, rather than a commentary on successive passages. In it Farabi discusses Aristotle's invention, the syllogism, and aims to codify the deductively valid arguments in all disciplines. He describes Aristotle's categorical syllogisms in detail; these are syllogisms with premises such as 'Every A is a B' and 'No A is a B'. He adds a discussion of how categorical syllogisms can codify arguments by induction from known examples or by analogy, and also some kinds of theological argument from perceived facts to conclusions lying beyond perception. He also describes post-Aristotelian hypothetical syllogisms, which draw conclusions from premises such as 'If P then Q' and 'Either P or Q'. His treatment of categorical syllogisms is one of the first to recognise logically productive pairs of premises by using 'conditions of productivity', a device that had appeared in the Greek Philoponus in 6th century Alexandria.




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.




Commentary on Aristotle, ›Prior Analytics‹ (Book II)


Book Description

This study contributes substantially to research on Aristotelian logic in Byzantium. It includes a critical edition of the commentary by Leo Magentenos, the Metropolitan of Mytilene (twelfth c.?) on Book II of the Prior Analytics along with an edition of the syllogism diagram attributed to this work in the manuscript tradition of this work.




On Aristotle's "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.