Hypothetical Syllogistic and Stoic Logic


Book Description

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


Book Description

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


Book Description

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


Book Description

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


Book Description

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


Book Description

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


Book Description

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


Book Description

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.