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"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"--
Logic. --- Aristotle. --- Logic, Ancient --- Prior analytics (Aristotle)
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"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."--Bloomsbury Publishing.
Contingency (Philosophy). --- Contingency (Philosophy). --- Logic. --- Logic. --- Syllogism. --- Syllogism. --- Aristotle. --- Prior analytics (Aristotle).
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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.
Logic, Ancient --- Logic. --- Aristotle. --- Magentus, Leo. --- Prior analytics (Aristotle) --- Logic --- Influence (Literary, artistic, etc.) --- Aristotle. - Prior analytics --- Magentus, Leo
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Philosophy of science --- Aristotle --- Logic --- Logique --- Early works to 1800. --- Ouvrages avant 1800 --- Aristotle. --- Modality (Logic) --- Contingency (Philosophy) --- Analytica priora (Aristoteles). --- Aristoteles. --- Logic. --- Prior analytics (Aristotle). --- Modal logic --- Nonclassical mathematical logic --- Bisimulation --- Philosophy --- Logic - Early works to 1800 --- Modality (Logic) - Early works to 1800 --- Contingency (Philosophy) - Early works to 1800 --- Aristotle - Prior analytics
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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). In the second volume, the 'greatest' commentator, Alexander, concludes his discussion of Aristotle's modal logic. 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. 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.
Logic --- Syllogism --- Logique --- Syllogisme --- Early works to 1800 --- Ouvrages avant 1800 --- Aristotle. --- Modalité (Logique) --- Modality (Logic) --- Contingency (Philosophy) --- Modalité (Logique) --- Contingence (Philosophie) --- Early works to 1800. --- Semantics (Philosophy) --- Language and languages - Philosophy --- Aristotle --- Aristote, --- Analytica priora (Aristoteles). --- Contingence (Philosophie) - Ouvrages avant 1800. --- Contingency (Philosophy) - Early works to 1800. --- Déduction (Logique) - Ouvrages avant 1800. --- Modality (Logic) - Early works to 1800. --- Modalité (Logique) - Ouvrages avant 1800. --- Rezeption. --- Syllogismen. --- Alexander, --- Aristoteles, --- Aristote / Premiers analytiques. --- Aristotle <384-322 B.C> / Prior analytics. --- Modality (Logic). --- Syllogism. --- Prior analytics (Aristotle). --- Language and languages
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