Hypothetical Syllogistic and Stoic Logic

Hypothetical Syllogistic and Stoic Logic
Author: Anthony Speca
Publisher: BRILL
Total Pages: 161
Release: 2016-06-21
Genre: Philosophy
ISBN: 9004321128

This volume traces the development of Aristotle’s hypothetical syllogistic through antiquity, and shows for the first time how it later became misidentified with the logic of the rival Stoic school. By charting the origins of this error, the book illuminates elements of Aristotelian logic that have been obscured for almost two thousand years, and raises important issues concerning the distinctive roles of semantic and syntactic analysis in theories of logical consequence. The first chapters of the book deal with the original Aristotelian hypothetical syllogistic, and explain how Aristotle’s later followers began to conflate it with Stoic logic. The final chapters examine in detail the two most crucial surviving treatments of the subject, Boethius’s On hypothetical syllogisms and On Cicero’s Topics, which carried this conflation into the Middle Ages.

The Stoics

The Stoics
Author: Diogenes Laërtius
Publisher: Lulu.com
Total Pages: 73
Release: 2015-07-07
Genre: Philosophy
ISBN: 1329345282

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

Aristotle's Topics

Aristotle's Topics
Author: Paul Slomkowski
Publisher: BRILL
Total Pages: 231
Release: 2016-06-21
Genre: Philosophy
ISBN: 9004320997

This work deals with Aristotle's Topics, a textbook on how to argue successfully in a debate organised in a certain way. The origins of the three branches of logic can be found here: logic of propositions, of predicates and of relations. Having dealt with the structure of the dialectical debates and the theory of the predicables, the central notion of the topos is analysed. Topoi are principles of arguments designed to help a disputant refute his opponent and function as hypotheses in hypothetical syllogisms, the main form of argument in the Topics. Traces of the crystallization of their theory can be found in the Topics and Analytics. The author analyses a selection of topoi including those according to which categorical and relational syllogisms are constructed.

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
Total Pages: 304
Release: 2010-06-14
Genre: Philosophy
ISBN: 9004190996

Relational inferences are a well-known problem for Aristotelian logic. This book charts the development of thinking about this anomaly, from the beginnings of the Arabic logical tradition in the tenth century to the end of the nineteenth. Based in large part on hitherto unstudied manuscripts and rare books, the study shows that the problem of relational inferences was vigorously debated in the thirteenth, fourteenth and fifteenth centuries. In the course of the seventeenth and eighteenth centuries, Ottoman logicians (writing in Arabic) came to recognize relational inferences as a distinct kind of 'unfamiliar syllogism' and began to investigate their logic. These findings show that the development of Arabic logic did not - as is often supposed - come to an end in the fourteenth century. On the contrary, Arabic logic was still being developed by critical and fecund reflections as late as the eighteenth and nineteenth centuries.

Topics in Stoic Philosophy

Topics in Stoic Philosophy
Author: Katerina Ierodiakonou
Publisher: Oxford University Press
Total Pages: 276
Release: 2001
Genre: Philosophy
ISBN: 9780199248803

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
Total Pages: 380
Release: 2019-11-27
Genre: Mathematics
ISBN: 3030274667

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.

Logical Matters

Logical Matters
Author: Jonathan Barnes
Publisher: Oxford University Press (UK)
Total Pages: 814
Release: 2012-12-13
Genre: Philosophy
ISBN: 0199577528

This volume presents 27 essays on logic in ancient philosophy by Jonathan Barnes, one of the most admired philosophers of his generation. He explores the thought of Galen, Cicero, Aristotle, Epicurus, and Boethius, amongst others. This is the second volume of Barnes' Essays in Ancient Philosophy: a rich feast for students and scholars alike.

The Cambridge Companion to Ancient Logic

The Cambridge Companion to Ancient Logic
Author: Luca Castagnoli
Publisher: Cambridge University Press
Total Pages: 445
Release: 2023-03-31
Genre: Mathematics
ISBN: 1107062942

A state-of-the-art overview of ancient logic for students and scholars, with in-depth analyses of its central themes.

Strategies of Argument

Strategies of Argument
Author: Mi-Kyoung Lee
Publisher: Oxford University Press
Total Pages: 433
Release: 2014-02-14
Genre: Philosophy
ISBN: 019989048X

This volume features fifteen new papers by an international group of scholars in ancient philosophy, with a particular focus on new work in ancient Greek and Roman ethics, epistemology, logic, and science. The papers are organized around five broad topics: Plato, Aristotle's ethics and practical reasoning, Aristotelian logic, Hellenistic ethics, and Hellenistic epistemology. Specific topics covered include the refutation of the hedonist in Plato's Philebus, the question of whether modern interpreters are right to read Plato's Timaeus as "proto-historical," Aristotle's argument concerning virtue, Aristotle's discussion of practical reasoning in the realm of ethics, Aristotle's logical theory, classification and division of goods in ancient ethical theories, and belief, appearances, and assent in Hellenistic epistemology.