Johannes Ciconia (ca. 1370?1412) is well known today as a composer both of sacred and secular music, but his theoretical works, probably written in Padua during the first decade of the fifteenth century, have until now been available only in manuscript form. This is the first complete edition of both of Ciconia?s theoretical works: the Nova musica, with its attendant De tribus generibus melorum, and the shorter De proportionibus, itself a revision of the third book of the Nova musica. ø The Nova musica is unique as the only only large-scale speculative work of the period known to have been written by an accomplished composer. The purpose of the work, clearly stated by Ciconia in the prologue, is to return to the writings of earlier authors (through the eleventh century) and, with their material as a basis, to redefine the scope of the discipline of music so that is may be classified and may function as one of the literary arts, in addition to its usual standing as a mathematical discipline. ø The first three books consist largely of quotations from earlier authors, covering the topics of consonance (intervals and the scale), species (modes), and proportions. Much of this material parallels large sections of the famous Lucidarium of Marchetto of Padua. ø In the fourth and final book, Ciconia demonstrated how, by means of the material already presented, chants can be classified and declined or parsed according to the principles of grammar. This new view of music can be regarded as a clear indication of the new humanistic approach to the arts. ø Two plates and more than one hundred figures illustrate the edition. The plates provide representative and contrasting examples of the handwriting and format of the illustrations in two of the principal sources.

Jens Hoyrup, recognized as the leading authority in social studies of pre-modern mathematics, here provides a social study of the changing mode of mathematical thought through history. His "anthropology" of mathematics is a unique approach to its history, in which he examines its pursuit and development as conditioned by the wider social and cultural context. Hoyrup moves from comparing features of Sumero-Babylonian, Mesopotamian, Ancient Greek, and Latin Medieval mathematics, to examining the character of Islamic practitioners of mathematics. He also looks at the impact of ideologies and philosophy on mathematics from Latin High Middle ages through the late Renaissance. Finally, he examines modern and contemporary mathematics, drawing out recurring themes in mathematical knowledge.

This Source Book explores a millennium of European scientific thought accompanied by critical commentary and annotation; nearly half the selections appear for the first time in the vernacular. Representing "science" in the medieval sense, selections include alchemy, astrology, logic, and theology as well as mathematics, physics, and biology.

The Sciences of Homosexuality in Early Modern Europe investigates early modern scientific accounts of same-sex desires and the shapes they assumed in everyday life. It explores the significance of those representations and interpretations from around 1450 to 1750, long before the term homosexuality was coined and accrued its current range of cultural meanings. This collection establishes that efforts to produce scientific explanations for same-sex desires and sexual behaviours are not a modern invention, but have long been characteristic of European thought. The sciences of antiquity had posited various types of same-sexual affinities rooted in singular natures. These concepts were renewed, elaborated, and reassessed from the late medieval scientific revival to the early Enlightenment. The deviance of such persons seemed outwardly inscribed upon their bodies, documented in treatises and case studies. It was attributed to diverse inborn causes such as distinctive anatomies or physiologies, and embryological, astrological, or temperamental factors. This original book freshly illuminates many of the questions that are current today about the nature of homosexual activity and reveals how the early modern period and its scientific interpretations of same-sex relationships are fundamental to understanding the conceptual development of contemporary sexuality.

This volume deals with a variety of moments in the history of mechanics when conflicts arose within one textual tradition, between different traditions, or between textual traditions and the wider world of practice. Its purpose is to show how the accommodations sometimes made in the course of these conflicts ultimately contributed to the emergence of modern mechanics.

Ruth I. DeFord offers new insights on Renaissance theories of rhythm and their application to the analysis and performance of music.

This volume evaluates Thomas Bradwardine's view of time as a mathematical, philosophical and theological concept within the context of ancient and medieval discussions of the problem of time. The book begins with an historiographical analysis of Bradwardine's mathematical and theological works, followed by an examination of the problem of time in classical, early medieval and thirteenth-century texts. Next, a series of chapters surveys Bradwardine's view of time as it related to proportionality, contingency, continuity and predestination. A final chapter establishes Bradwardine's place among fourteenth-century natural philosophers and theologians. As it uses a wide range of Bradwardine's writings, this book is able to show how Bradwardine's philosophical and theological views converged. This study is especially useful for historians of late medieval science, philosophy and theology.

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 ideal of balance and its association with what is ordered, just, and healthful remained unchanged throughout the medieval period. The central place allotted to balance in the workings of nature and society also remained unchanged. What changed within the culture of scholasticism, between approximately 1280 and 1360, was the emergence of a greatly expanded sense of what balance is and can be. In this groundbreaking history of balance, Joel Kaye reveals that this new sense of balance and its potentialities became the basis of a new model of equilibrium, shaped and shared by the most acute and innovative thinkers of the period. Through a focus on four disciplines - scholastic economic thought, political thought, medical thought, and natural philosophy - Kaye's book reveals that this new model of equilibrium opened up striking new vistas of imaginative and speculative possibility, making possible a profound re-thinking of the world and its workings.