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Author: Prosdocimo de' Beldomandi
Publisher: University of Illinois Press
ISBN: 0252056159
Category : Music
Languages : en
Pages : 202
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Book Description
Available in English for the first time, Prosdocimo's Tractatus plane musice (1412) and Tractatus musice speculative (1425) are exemplary texts for understanding the high sophistication of music theory in the early fifteenth century. Known for considering music as a science based on demonstrable mathematical principles, Prosdocimo praises Marchetto for his theory of plainchant but criticizes his influential Lucidarium for its heterodox mathematics. In dismissing Marchetto as a “mere performer,” Prosdocimo takes up matters as broad as the nature and definition of music and as precise as counterpoint, tuning, and ecclesiastical modes. The treatises also reveal much about Prosdocimo’s understanding of plainchant; his work with Euclid's Elementa; and his familiarity with the music theory of Boethius, Macrobius, and Johannes de Muris. A foremost authority on Italian music theory of the Middle Ages and early Renaissance, Jan Herlinger consults manuscripts from Bologna, Cremona, and Lucca in preparing these valuable first critical editions.
Author: Prosdocimo de' Beldomandi
Publisher: University of Illinois Press
ISBN: 0252056159
Category : Music
Languages : en
Pages : 202
Get Book
Book Description
Available in English for the first time, Prosdocimo's Tractatus plane musice (1412) and Tractatus musice speculative (1425) are exemplary texts for understanding the high sophistication of music theory in the early fifteenth century. Known for considering music as a science based on demonstrable mathematical principles, Prosdocimo praises Marchetto for his theory of plainchant but criticizes his influential Lucidarium for its heterodox mathematics. In dismissing Marchetto as a “mere performer,” Prosdocimo takes up matters as broad as the nature and definition of music and as precise as counterpoint, tuning, and ecclesiastical modes. The treatises also reveal much about Prosdocimo’s understanding of plainchant; his work with Euclid's Elementa; and his familiarity with the music theory of Boethius, Macrobius, and Johannes de Muris. A foremost authority on Italian music theory of the Middle Ages and early Renaissance, Jan Herlinger consults manuscripts from Bologna, Cremona, and Lucca in preparing these valuable first critical editions.
Author:
Publisher: BRILL
ISBN: 9004696490
Category : History
Languages : en
Pages : 353
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Book Description
Calculating Ethics in the Fourteenth Century addresses a moment in the history of ethics, when discoveries in natural philosophy blurred the boundary between the possible and the impossible, and made the impossible a preferred territory in discussions on practical reason. The volume studies the onset and expansion of a new movement in constructing ethics, as the methods, arguments, and cases adopted from logic and natural philosophy came to be extensively applied at Oxford and swiftly disseminated among other Oxonians eventually making their way outside Oxford. It shows how the Oxford Calculators triggered a unique and durable transformation in ethics. Contributors are Pascale Bermon, Valeria Buffon, Michael W. Dunne, Marek Gensler, Simon Kemp, Edit A. Lukács, Monika Michałowska, and Andrea Nannini.
Author: Monika Michałowska
Publisher: BRILL
ISBN: 9004331557
Category : History
Languages : en
Pages : 350
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Book Description
Richard Kilvington’s commentary on Aristotle’s Nicomachean Ethics (14th century) offers a unique perspective of argumentation by applying concepts and terminology from the fields of logic and physics to ethical dilemmas.
Author: W.R. Knorr
Publisher: Springer Science & Business Media
ISBN: 1461236908
Category : Mathematics
Languages : en
Pages : 850
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Book Description
For textual studies relating to the ancient mathematical corpus the efforts by the Danish philologist, 1. L. Heiberg (1854-1928), are especially significant. Beginning with his doctoral dissertation, Quaestiones Archimedeae (Copen hagen, 1879), Heiberg produced an astonishing series of editions and critical studies that remain the foundation of scholarship on Greek mathematical 4 science. For comprehensiveness and accuracy, his editions are exemplary. In his textual studies, as also in the prolegomena to his editions, he carefully described the extant evidence, organized the manuscripts into stemmata, and drew out the implications for the state of the text. 5 With regard to his Archimedean work, Heiberg sometimes betrayed signs of the philologist's occupational disease - the tendency to rewrite a text deemed on subjective grounds to be unworthy. 6 But he did so less often than his prominent 7 contemporaries, and not as to detract appreciably from the value of his editions. In examining textual questions bearing on the Archimedean corpus, he attempted to exploit as much as possible evidence from the ancient commentators, and in some instances from the medieval translations. It is here that opportunities abound for new work, extending, and in some instances superseding, Heiberg's findings. For at his time the availability of the medieval materials was limited. In recent years Marshall Clagett has completed a mammoth critical edition of the medieval Latin tradition of Archimedes,8 while the bibliographical instruments for the Arabic tradition are in good order thanks to the work of Fuat Sezgin.
Author: Roshdi Rashed
Publisher: Walter de Gruyter
ISBN: 3110220792
Category : Philosophy
Languages : en
Pages : 801
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Book Description
Thabit ibn Qurra (826–901) was one of history’s most original thinkers and displayed expertise in the most difficult disciplines of this time: geometry, number theory, and astronomy as well as ontology, physics, and metaphysics. Approximately a dozen of this shorter mathematical and philosophical writings are collected in this volume. Critically edited with accompanying commentary, these writings show how Thabit Ibn Qurra developed and reconceived the intellectual inheritance of ancient Greece in all areas of knowledge.
Author: Walter Roy Laird
Publisher: Springer Science & Business Media
ISBN: 1402059671
Category : Science
Languages : en
Pages : 316
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Book Description
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.
Author: Francis Maseres
Publisher:
ISBN:
Category : Logarithms
Languages : en
Pages : 546
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Book Description
Author: Austin Patterson Evans
Publisher: Biblo & Tannen Publishers
ISBN: 9780819601599
Category : History
Languages : en
Pages : 330
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Book Description
Author:
Publisher: Univ of California Press
ISBN: 0520364783
Category : Mathematics
Languages : en
Pages : 224
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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 1981.
Author:
Publisher: BRILL
ISBN: 9004512055
Category : Science
Languages : en
Pages : 491
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Book Description
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.
