Medieval Logic

This is the first critical edition of the first and second Epistles of the Brethren Purity--the Rasa 'il--in Arabic with a fully annotated English translation. It presents technical and epistemic analyses of mathematical concepts and their metaphysical bases, and an overview of the mathematical sciences within Islamic intellectual milieu.

This chapter deals with medieval logic from the time when it first had full resources for systematic creative contributions onward. It focuses on the era when the ancient heritage was available and medieval logic was able to add something substantial to it, even to surpass it in some respects. The chapter explains that characterization such as this cannot be adequately expressed with years or by conventional period denominations; however, it is hoped that the grounds for drawing boundaries will become clearer (...) during the course of the story. (shrink)

We describe the earliest occurrences of the Liar Paradox in the Arabic tradition. e early Mutakallimūn claim the Liar Sentence is both true and false; they also associate the Liar with problems concerning plural subjects, which is somewhat puzzling. Abharī (1200-1265) ascribes an unsatisfiable truth condition to the Liar Sentence—as he puts it, its being true is the conjunction of its being true and false—and so concludes that the sentence is not true. Tūsī (1201-1274) argues that self-referential sentences, like the (...) Liar, are not truth-apt, and defends this claim by appealing to a correspondence theory of truth. Translations of the texts are provided as an appendix. (shrink)

Josse Clichtove represents a turning point in the history of disputation, for he combines one of the earliest accounts of the doctrinal disputation with one of the latest accounts of the obligational disputation. This paper describes the nature and significance of the theories that he offered. Particular attention is paid to the doctrines of truth, necessity and possibility which lie behind his doctrines; and also to the light which his work throws on the aims and nature of an obligational disputation.

HISTORICAL INTRODUCTION Although many of the details of the development of logic in the Middle Ages remain to be filled in, it is well known that between ...