Hypothetical Syllogistic and Stoic Logic

Hypothetical Syllogistic and Stoic Logic

Author: Anthony Speca

Publisher: BRILL

Published: 2016-06-21

Total Pages: 161

ISBN-13: 9004321128

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This book uncovers and examines the confusion in antiquity between Aristotle’s hypothetical syllogistic and Stoic logic, and offers a fresh perspective on the development of Aristotelian logic through to the early Middle Ages.


Hypothetical Syllogistic and Stoic Logic

Hypothetical Syllogistic and Stoic Logic

Author: Anthony Nicholas Speca

Publisher:

Published: 1999

Total Pages: 0

ISBN-13:

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Aristotle recorded his intention to discuss hypothetical syllogistic fully ('An. pr.' 50a39), but no such treatment by him has been available since at least 200 AD, if ever it even existed. The contributions of his successor Theophrastus have also perished, as have those of Aristotle's followers of the subsequent few centuries. Furthermore, almost all of the surviving sources, especially the Greek commentators and Boethius, did not report hypothetical syllogistic accurately. Rather, they conflated it with Stoic logic, which it resembles in some respects, but from which it is significantly different. Modern scholars, who have not appreciated the nature or extent of this conflation, have unintentionally perpetuated the problem. As a result, the original form of hypothetical syllogistic has been misunderstood, and part of the influence of Stoic logic in late antiquity has remained unclear. This thesis is an account of the conflation of hypothetical syllogistic and Stoic logic. The first chapter is a study of Aristotle's remarks on hypothetical syllogistic, which suggest that it was not a sentential logic such as the Stoics would develop. The second chapter details the conflation as it appears in the Greek commentaries on Aristotle, which consists principally in confusing the original Peripatetic division of hypothetical statements and syllogisms, whose criteria are semantic, with the Stoic division of complex propositions and inference schemata, whose criteria are syntactic. The third and fourth chapters focus on Boethius's 'On hypothetical syllogisms' and ' On Cicero'''s Topics', in which even further conflation demonstrates that hypothetical syllogistic and Stoic logic had completely ceased to retain their distinct natures by the end of antiquity.


Stoic Logic

Stoic Logic

Author: Benson Mates

Publisher: Univ of California Press

Published: 2022-09-23

Total Pages: 156

ISBN-13: 0520374223

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This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1973.


Logic and the Imperial Stoa

Logic and the Imperial Stoa

Author: Jonathan Barnes

Publisher: BRILL

Published: 2016-06-21

Total Pages: 181

ISBN-13: 9004321004

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The main argument of this book, against a prevailing orthodoxy, is that the study of logic was a vital - and a popular - part of stoic philosophy in the early imperial period. The argument relies primarily on detailed analyses of certain texts in the Discourses of Epictetus. It includes some account of logical 'analysis', of 'hypothetical' reasoning, and of 'changing' arguments. Written both for historians and for philosophers, and presupposing no logical expertise, this is an important contribution to the history of philosophy in the early imperial period.


The Stoics

The Stoics

Author: Diogenes Laërtius

Publisher: Lulu.com

Published: 2015-07-07

Total Pages: 73

ISBN-13: 1329345282

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The Stoics provides fascinating insight into the private lives of the Greek Stoics, giving a voice to those early trailblazers whose influential works have long since been lost: Zeno of Citium Ariston of Chios Herillus of Carthage Dionysius the Renegade Cleanthes of Assos Sphaerus of Bosphorus Chrysippus of Soli


Relational Syllogisms and the History of Arabic Logic, 900-1900

Relational Syllogisms and the History of Arabic Logic, 900-1900

Author: Khaled El-Rouayheb

Publisher: BRILL

Published: 2010-06-14

Total Pages: 304

ISBN-13: 9004190996

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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.


Topics in Stoic Philosophy

Topics in Stoic Philosophy

Author: Katerina Ierodiakonou

Publisher: Oxford University Press

Published: 2001

Total Pages: 276

ISBN-13: 9780199248803

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Stoicism (third century BC to second century AD) is one of the richest and most influential intellectual traditions of antiquity. Leading scholars here contribute new studies of a set of topics which are the focus of current research in this area. They combine careful analytical attention tothe original texts with historical sensitivity and philosophical acuity, to provide the basis for a better understanding of Stoic ethics, political theory, logic, and physics. Whereas till recently the study of Hellenistic philosophy has been mainly a historical enterprise, these essays demonstratethat a proper treatment of Stoicism engages us in philosophical questions of considerable current relevance and interest.


Arabic Logic from al-Fārābī to Averroes

Arabic Logic from al-Fārābī to Averroes

Author: Saloua Chatti

Publisher: Springer Nature

Published: 2019-11-27

Total Pages: 373

ISBN-13: 3030274667

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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.