2 Peter of Aillyl wrote his Concepts and Insolubles, according to the best 3 estimate, in 1372. He was at that time only about twenty-two years old. He was born around 1350" in Compiegne in the De de France, although his 5 family name associates him with the village of Ailly in Picardy. In 1364 he entered the University of Paris as a 'bursar' (i. e. , the recipient of a scholarship) at the College de Navarre. He received the degree of Bachelor of Arts in 1367 and taught there until 1368, when he entered the Faculty of Theology. He became a Doctor of Theology in 1381. In the years that followed, Peter was very active in the 'conciliar' movement and in negotiations to bring about the end of the Great Schism of the West. He was elevated to the rank of Cardinal in 1411 by Pope John XXIII, the successor of Alexander V in the 'Pisa' line of Popes. He took an active part in the Council of Constance (1414-1418), which ended the Great Schism and elected Pope Martin V. Peter died on August 9, 1420. Most of the secondary literature on Peter of Ailly concerns his role in church politics, his writings on the Schism and on ecclesiastical reform, and various aspects of his theology. But Peter was active in a number of other areas as well. He wrote several works, for instance, on geography and astron 6 omy, including an Imago mundi read by Christopher Columbus.

This book offers an entirely new perspective on the alleged incompatibility between Aristotelian philosophy and the mathematical methods and principles that form the basis of modern science. It surveys the tradition of the Oxford Calculators from its beginnings in the fourteenth century until Leibniz and the philosophy of the seventeenth century and explores how their various techniques of quantification expanded the conceptual and methodological limits of Aristotelianism.

The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.

New readings of Chaucer's dream visions, demonstrating his philosophical interests and learning.