Nicole Oresme, Questiones Super Geometriam Euclidis

Nicole Oresme, Questiones Super Geometriam Euclidis

Author: Nicole Oresme

Publisher: Franz Steiner Verlag Wiesbaden GmbH

Published: 2010

Total Pages: 216

ISBN-13:

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Nicole Oresme (ca. 1320-1384) was one of the most important intellectual figures of the scholastic period: not only was he a leading philosopher, theologian, astronomer and mathematician, but he was also involved in practical matters - he was secretary to the king of France, he was bishop of Lisieux, and he was involved in the assessment of coins and associated political problems. He took part in the teaching of scholastic philosophy, writing numerous commentaries on Aristotle. His contributions to the so-called "latitude of forms", i.e. the quantification of qualities, are universally recognized in modern scholarship. Also connected with university education are his Questiones on the Elements of Euclid, the basic and most widely read of the Greek mathematical classics. These Questiones cannot be regarded as a commentary, but rather examine problems suggested by Euclid's text. Among the subjects investigated are the quantitative change of qualities, e.g. of velocity, colours or heat, in time. There are penetrating analyses of infinite and infinitesimal qualities.


Nicole Oresme

Nicole Oresme

Author: Nicole Oresme

Publisher:

Published: 1961

Total Pages: 222

ISBN-13:

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Introduction includes content information for thesis and its subsequent published paraphrase.


Nicole Oresme, Questiones super Physicam (Books I-VII)

Nicole Oresme, Questiones super Physicam (Books I-VII)

Author:

Publisher: BRILL

Published: 2013-03-28

Total Pages: 897

ISBN-13: 9004250255

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Oresme's commentary is one of the most relevant documents of the discussions at Paris University in the midst of the 14th Century. Original solutions concerning the main philosophical issues are associated with sharp criticism of the realist and nominalist positions.


Sourcebook in the Mathematics of Medieval Europe and North Africa

Sourcebook in the Mathematics of Medieval Europe and North Africa

Author: Victor J. Katz

Publisher: Princeton University Press

Published: 2016-10-18

Total Pages: 593

ISBN-13: 1400883202

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Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time. Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid—a curve previously unknown in medieval Europe; Levi ben Gershon’s use of mathematical induction in combinatorial proofs; Al-Mu’taman Ibn Hūd’s extensive survey of mathematics, which included proofs of Heron’s Theorem and Ceva’s Theorem; and Muhyī al-Dīn al-Maghribī’s interesting proof of Euclid’s parallel postulate. The book includes a general introduction, section introductions, footnotes, and references. The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.


De Visione Stellarum

De Visione Stellarum

Author: Dan Burton

Publisher: BRILL

Published: 2007

Total Pages: 334

ISBN-13: 9004153705

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In this critical edition of Nicole Oresme's 14th-century treatise on atmospheric refraction, Oresme uses optics and infinitesimals to help solve this vexing problem of astronomy, proposing that light travels along a curve through the atmosphere, centuries before Hooke and Newton.


Space

Space

Author: Andrew Janiak

Publisher: Oxford University Press

Published: 2020-01-23

Total Pages: 369

ISBN-13: 0190090561

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Recurrent questions about space have dogged philosophers since ancient times. Can an ordinary person draw from his or her perceptions to say what space is? Or is it rather a technical concept that is only within the grasp of experts? Can geometry characterize the world in which we live? What is God's relation to space? In Ancient Greece, Euclid set out to define space by devising a codified set of axioms and associated theorems that were then passed down for centuries, thought by many philosophers to be the only sensible way of trying to fathom space. Centuries later, when Newton transformed the 'natural philosophy' of the seventeenth century into the physics of the eighteenth century, he placed the mathematical analysis of space, time, and motion at the center of his work. When Kant began to explore modern notions of 'idealism' and 'realism,' space played a central role. But the study of space was transformed forever when, in 1915, Einstein published his general theory of relativity, explaining that the world is not Euclidean after all. This volume chronicles the development of philosophical conceptions of space from early antiquity through the medieval period to the early modern era. The chapters describe the interactions at different moments in history between philosophy and various other disciplines, especially geometry, optics, and natural science more generally. Fascinating central figures from the history of mathematics, science and philosophy are discussed, including Euclid, Plato, Aristotle, Proclus, Ibn al-Haytham, Nicole Oresme, Kepler, Descartes, Newton, Leibniz, Berkeley, and Kant. As with other books in the series, shorter essays, or Reflections, enrich the volume by characterizing perspectives on space found in various disciplines including ecology, mathematics, sculpture, neuroscience, cultural geography, art history, and the history of science.