Science in the Middle Ages
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Thomas Aquinas on the Separability of Accidents and Dietrich of Freiberg’S Critique
Thomas Aquinas on the Separability of Accidents and Dietrich of Freiberg’s Critique David Roderick McPike Thesis submitted to the Faculty of Graduate and Postdoctoral Studies in partial fulfillment of the requirements for the Doctorate in Philosophy degree in Philosophy Department of Philosophy Faculty of Arts University of Ottawa © David Roderick McPike, Ottawa, Canada, 2015 Abstract The opening chapter briefly introduces the Catholic doctrine of the Eucharist and the history of its appropriation into the systematic rational discourse of philosophy, as culminating in Thomas Aquinas’ account of transubstantiation with its metaphysical elaboration of the separability of accidents from their subject (a substance), so as to exist (supernaturally) without a subject. Chapter Two expounds St. Thomas’ account of the separability of accidents from their subject. It shows that Thomas presents a consistent rational articulation of his position throughout his works on the subject. Chapter Three expounds Dietrich of Freiberg’s rejection of Thomas’ view, examining in detail his treatise De accidentibus, which is expressly dedicated to demonstrating the utter impossibility of separate accidents. Especially in light of Kurt Flasch’s influential analysis of this work, which praises Dietrich for his superior level of ‘methodological consciousness,’ this chapter aims to be painstaking in its exposition and to comprehensively present Dietrich’s own views just as we find them, before taking up the task of critically assessing Dietrich’s position. Chapter Four critically analyses the competing doctrinal positions expounded in the preceding two chapters. It analyses the various elements of Dietrich’s case against Thomas and attempts to pinpoint wherein Thomas and Dietrich agree and wherein they part ways. -
E D I T O R I a L
E D I T O R I A L “RETRO-PROGRESSING” As one browses through the history section of a library, one of the volumes that is likely to catch one’s attention is The Discoverers by Daniel Boorstin.1 It is an impressive, 700-page volume. Published in 1983, it chronicles in a semi-popular style selected aspects of man’s discoveries. Two chapters entitled “The Prison of Christian Dogma” and “A Flat Earth Returns” deal with the outlandish con- cept of an earth that is flat instead of spherical. Boorstin has impressive academic credentials from Harvard and Yale, and has held prestigious positions such as the Librarian of Congress, Director of the National Museum of History and Tech- nology, and Senior Historian of the Smithsonian Institution. In The Discoverers he reflects the popular view that the ancient Greeks, including Aristotle and Plato, believed Earth to be a sphere; however, after the rise of Christianity a period of “scholarly amnesia” set in which lasted from around 300 to 1300 A.D. During this time, according to Boorstin, “Christian faith and dogma replaced the useful [spherical] image of the world that had been so slowly, so painfully, and so scrupulously drawn by ancient geographers.” The “spherical” view was replaced by the concept of a flat earth, which Boorstin characterizes as “pious caricatures.”2 Boorstin bolsters his case by mentioning a couple of minor writers — Lactantius and Cosmas — who believed in a flat earth and lived during this “dark age.” He also implicates the powerful authority of St. Augustine of Hippo (354-430), who “heartily agreed” that antipodes “could not exist.”3 Antipodes represented lands on the opposite side of a spherical earth where trees and men, if present, would be upside down, with their feet above their heads; hence, the “antipodes” (opposite-feet) designation. -
Renaissance Theories of Vision Edited by John Hendrix, University of Lincoln, UK and Rhode Island School of Design and Roger Williams University, USA, and Charles H
Renaissance Theories of Vision Edited by John Hendrix, University of Lincoln, UK and Rhode Island School of Design and Roger Williams University, USA, and Charles H. Carman, University at Buffalo, USA Visual Culture in Early Modernity December 2010 244 x 172 mm 258 pages Hardback 978-1-4094-0024-0 £65.00 Includes 18 b&w illustrations How are processes of vision, perception, and sensation conceived in the Renaissance? How are those conceptions made manifest in the arts? The essays in this volume address these and similar questions to establish important theoretical and philosophical bases for artistic production in the Renaissance and beyond. The essays also attend to the views of historically significant writers from the ancient classical period to the eighteenth century, including Plato, Aristotle, Plotinus, St Augustine, Ibn Sina (Avicenna), Ibn al-Haytham (Alhazen), Ibn Sahl, Marsilio Ficino, Nicholas of Cusa, Leon Battista Alberti, Gian Paolo Lomazzo, Gregorio Comanini, John Davies, Rene Descartes, Samuel van Hoogstraten, and George Berkeley. Contributors carefully scrutinize and illustrate the effect of changing and evolving ideas of intellectual and physical vision on artistic practice in Florence, Rome, Venice, England, Austria, and the Netherlands. The artists whose work and practices are discussed include Fra Angelico, Donatello, Leonardo da Vinci, Filippino Lippi, Giovanni Bellini, Raphael, Parmigianino, Titian, Bronzino, Johannes Gumpp and Rembrandt van Rijn. Taken together, the essays provide the reader with a fresh perspective on the intellectual confluence between art, science, philosophy, and literature across Renaissance Europe. Contents Introduction, John S. Hendrix and Charles H. Carman; Classical optics and the perspectivae traditions leading to the Renaissance, Nader El-Bizri; Meanings of perspective in the Renaissance: tensions and resolution, Charles H. -
7. Mathematical Revival in Western Europe
7. Mathematical revival in Western Europe (Burton , 6.2 – 6.4, 7.1 ) Mathematical studies and discoveries during the early Dark Ages in Europe were extremely limited . One illustration of this fact is the chronology of the highly esteemed English scholar Bede (The Venerable Bede , 672 /673 – 735) , which set the convention that the year 1 B.C.E. immediately precedes the year 1 A.D. ; this remains unchanged even though 0 is now generally accepted to be part of the number system . However , there were contributors to the subject during the period from the Latin commentator Boëthius (Anicius Manlius Severinus Boëthius , c. 475 – 524) shortly after the fall of the Western Roman Empire and continuing through to the end of the 12 th century ; Boëthius has been described as the last of the Romans and the first of the scholastic philosophers (predating the latter by many centuries) , and his mathematical texts of were still widely used 600 years after they were written . Several other names from this period are mentioned in Sections 5.4 and 6.1 of Burton , and the latter ’s exercises also mention Alcuin of York (735 – 804) and Gerbert d ’Aurillac (940 – 1003) , who later became Pope Sylvester I I (997 – 1003) . During the second half of the 11 th century some important political developments helped raise European ’s consciousness of ancient Greek mathematical work and the more recent advances by Indian and Arabic mathematicians. Many of these involved Christian conquests of territory that had been in Muslim hands for long periods of time . Specific examples of particular importance for mathematics were the Norman conquest of Sicily in 1072 , the Spanish reconquista during which extensive and important territories in the Iberian Peninsula changed from Muslim to Christian hands , and the start of the Crusades in 1095 . -
Doing Hard Time: Is God the Prisoner of the Oldest Dimension?
Doing Hard Time: Is God the Prisoner of the Oldest Dimension? R.T. Mullins University of Notre Dame Abstract: In this paper I shall consider an objection to divine temporality called “The Prisoner of Time” objection. I shall begin by distinguishing divine timelessness from divine temporality in order to clear up common misunderstandings and caricatures of divine temporality. From there I shall examine the prisoner of time objection and explain why the prisoner of time objection fails to be a problem for the Christian divine temporalist. During the 20th Century, various Christian philosophers and theologians have rejected divine timelessness. This is not an entirely new phenomena; one can find philosophers and theologians from the Reformation on rejecting divine timelessness. Thinkers like Pierre Gassendi, Isaac Newton, Samuel Clarke, and John Tillotson all rejected the doctrine of divine timelessness long ago for philosophical, theological, scientific, and biblical reasons.1 For these thinkers, time is a necessary concomitant of God’s eternal nature. Despite the efforts of these thinkers, the doctrine of divine timelessness continued to play a central role in Christian theology until the 20th Century. During the 20th Century, and the beginning of this century, one can find a more wide spread rejection of divine timelessness amongst Christian philosophers and systematic theologians. Some of these rejections have been quite rigorous, while others have been misguided. The more recent widespread rejection of the atemporal God has led many into the loving arms of the temporal God. However, divine temporality is not without its critics. Divine atemporality refuses to lay down and die. -
Semiotic Reflections on Medieval and Contemporary Graphic Representations of Motion
Working paper, presented at the History and Pedagogy of Mathematics Conference, 14-18 July 2008, Mexico City. SEMIOTIC REFLECTIONS ON MEDIEVAL AND CONTEMPORARY GRAPHIC REPRESENTATIONS OF MOTION Luis Radford Université Laurentienne Ontario, Canada Introduction In this paper I will present an ongoing semiotic investigation of motion and some 14th century attempts at representing it in geometrical terms. The semiotic approach that I will follow focuses on the manner in which time, space and velocity were signified in certain historical periods. I take as my starting point the idea that the conceptualisation of motion and its key conceptual elements—speed, time and velocity— can only be understood within the scope of the epistemological configurations that make motion thinkable in a certain way. In other words, any attempt at investigating conceptualizations of time, speed, and velocity needs to take into account the cultural mental structures that underpin them. These cultural mental structures, or épistèmes, to use Michel Foucault’s term, are not mere spiritual or intellectual forms evolving on their own. They arise, acquire shape and evolve under the evolution of social practices, as well as their material conditions, forms of production and social relations. Thus, in the perspective that I am advocating here, to ask questions about time, speed and velocity is also to ask questions about the cultural and social conditions that made these theoretical constructs possible. Time, Speed and Velocity in the Middle Ages It is very well known that the investigation of motion became a prominent field of research only in the early years of modernity. However, that does not mean that motion was not an object of reflection in previous historical periods. -
Oelze (Humboldt University of Berlin)
Summary of Talk Given at the Conference “Immateriality, Thinking, and the Self in the Long Middle Ages” University of Cambridge, Philosophy Faculty, 14 July, 2015 Material Souls, Material Thoughts? Some Medieval Views on Rational Operations in Non-Rational Animals Anselm Oelze (Humboldt University of Berlin) Introductory Remarks Medieval theories of animal cognition by and large start from the assumption that only human animals are endowed with intellect (intellectus) and reason (ratio). That is, ac- cording to the standard medieval view, dogs, cats, donkeys, and other nonhuman anim- als have souls, yet their souls are not immaterial intellectual souls but material sensory souls (including usually five external senses as well as a number of so-called internal senses, e.g., common sense, imagination, estimation, and memory). Consequently, they are incapable of engaging in rational operations such as concept formation, judging, reasoning, and thinking, for only the intellect has access to the realm of universals (or concepts) which are the building blocks of judgments, syllogisms, and thoughts. Nevertheless, on various occasions medieval philosophers do note that in many cases nonhuman animals seem to judge (iudicare), to reason (ratiocinari, sillogizari), or to think (cogitare), too, insofar as their behaviour seems to be brought about by rational processes. In the following, an overview will be given of what six (later) medieval au- thors, namely Thomas Aquinas, Gregory of Rimini, Roger Bacon, Albertus Magnus, John Buridan, and Nicole Oresme, say on how there can be rational processes in non-ra- tional animals, especially reasoning and thinking (note that ʻreasoningʼ and ʻthinkingʼ are not necessarily synonymous here; rather, reasoning is taken to be some type of thinking; for more on that see Section III). -
The Earliest Translations of Aristotle's Politics and The
ECKART SCHÜTRUMPF THE EARLIEST TRANSLATIONS OF ARISTOTle’S POLITICS AND THE CREATION OF POLITICAL TERMINOLOGY 8 MORPHOMATA LECTURES COLOGNE MORPHOMATA LECTURES COLOGNE 8 HERAUSGEGEBEN VON GÜNTER BLAMBERGER UND DIETRICH BOSCHUNG ECKART SCHÜTRUMPF THE EARLIEST TRANSLATIONS OF ARISTOTLe’s POLITICS AND THE CREATION OF POLITICAL TERMINOLOGY WILHELM FINK unter dem Förderkennzeichen 01UK0905. Die Verantwortung für den Inhalt der Veröffentlichung liegt bei den Autoren. Bibliografische Informationen der Deutschen Nationalbibliothek: Die Deutsche Nationalbibliothek verzeichnet diese Publikation in der Deutschen National biblio grafie; detaillierte Daten sind im Internet über www.dnb.dnb.de abrufbar. Alle Rechte, auch die des auszugweisen Nachdrucks, der fotomechanischen Wieder gabe und der Übersetzung vorbehalten. Dies betrifft auch die Vervielfälti gung und Übertragung einzelner Textabschnitte, Zeichnungen oder Bilder durch alle Verfahren wie Speicherung und Übertragung auf Papier, Transparente, Filme, Bänder, Platten und andere Medien, soweit es nicht § 53 und 54 UrhG ausdrücklich gestatten. © 2014 Wilhelm Fink, Paderborn Wilhelm Fink GmbH & Co. VerlagsKG, Jühenplatz 1, D33098 Paderborn Internet: www.fink.de Lektorat: Sidonie Kellerer, Thierry Greub Gestaltung und Satz: Kathrin Roussel, Sichtvermerk Printed in Germany Herstellung: Ferdinand Schöningh GmbH & Co. KG, Paderborn ISBN 978-3-7705-5685-4 CONTENT 1. The earliest Latin translations of Aristotle— William of Moerbeke 9 2. Nicole Oresme 25 3. Leonardo Bruni’s principles of translation 28 4. Bruni’s translation of Aristotle’s Politics 33 5. The political terminology in Bruni’s translation— a new Humanist concept of res publica? 39 6. The controversy over Bruni’s translation— contemporary and modern 65 Appendix 77 Bibliography 78 This study goes back ultimately to a response I gave on two pa pers presented on “Translating Aristotle’s Politics in Medieval and Renaissance Europe” at the “International Conference on Translation. -
Roman) Prelims 22/6/05 2:15 Pm Page 23
001_025 (Roman) Prelims 22/6/05 2:15 pm Page 23 ENTRIES BY THEME Apparatus, Equipment, Implements, Techniques Weights and measures Agriculture Windmills Alum Arms and armor Biography Artillery and fire arms Abelard, Peter Brewing Abraham bar Hiyya Bridges Abu Ma‘shar al Balkh (Albumasar) Canals Adelard of Bath Catapults and trebuchets Albert of Saxony Cathedral building Albertus Magnus Clepsydra Alderotti, Taddeo Clocks and timekeeping Alfonso X the Wise Coinage, Minting of Alfred of Sareschel Communication Andalusi, Sa‘id al- Eyeglasses Aquinas, Thomas Fishing Archimedes Food storage and preservation Arnau de Vilanova Gunpowder Bacon, Roger Harnessing Bartholomaeus Anglicus House building, housing Bartholomaeus of Bruges Instruments, agricultural Bartholomaeus of Salerno Instruments, medical Bartolomeo da Varignana Irrigation and drainage Battani, al- (Albategnius) Leather production Bede Military architecture Benzi, Ugo Navigation Bernard de Gordon Noria Bernard of Verdun Paints, pigments, dyes Bernard Silvester Paper Biruni, al- Pottery Boethius Printing Boethius of Dacia Roads Borgognoni, Teodorico Shipbuilding Bradwardine, Thomas Stirrup Bredon, Simon Stone masonry Burgundio of Pisa Transportation Buridan, John Water supply and sewerage Campanus de Novara Watermills Cecco d’Ascoli xxiii 001_025 (Roman) Prelims 22/6/05 2:15 pm Page 24 xxii ENTRIES BY THEME Chaucer, Geoffrey John of Saint-Amand Columbus, Christopher John of Saxony Constantine the African John of Seville Despars, Jacques Jordanus de Nemore Dioscorides Khayyam, al- Eriugena, -
REBIRTH, REFORM and RESILIENCE Universities in Transition 1300-1700
REBIRTH, REFORM AND RESILIENCE Universities in Transition 1300-1700 Edited by James M. Kittelson and Pamela J. Transue $25.00 REBIRTH, REFORM, AND RESILIENCE Universities in Transition, 1300-1700 Edited by James M. Kittelson and Pamela]. Transue In his Introduction to this collection of original essays, Professor Kittelson notes that the university is one of the few institutions that medieval Latin Christendom contributed directly to modern Western civilization. An export wherever else it is found, it is unique to Western culture. All cultures, to be sure, have had their intellec tuals—those men and women whose task it has been to learn, to know, and to teach. But only in Latin Christendom were scholars—the company of masters and students—found gathered together into the universitas whose entire purpose was to develop and disseminate knowledge in a continu ous and systematic fashion with little regard for the consequences of their activities. The studies in this volume treat the history of the universities from the late Middle Ages through the Reformation; that is, from the time of their secure founding, through the period in which they were posed the challenges of humanism and con fessionalism, but before the explosion of knowl edge that marked the emergence of modern science and the advent of the Enlightenment. The essays and their authors are: "University and Society on the Threshold of Modern Times: The German Connection," by Heiko A. Ober man; "The Importance of the Reformation for the Universities: Culture and Confessions in the Criti cal Years," by Lewis W. Spitz; "Science and the Medieval University," by Edward Grant; "The Role of English Thought in the Transformation of University Education in the Late Middle Ages," by William J. -
De Sphaera of Johannes De Sacrobosco in the Early Modern
Matteo Valleriani Editor De sphaera of Johannes de Sacrobosco in the Early Modern Period The Authors of the Commentaries De sphaera of Johannes de Sacrobosco in the Early Modern Period Matteo Valleriani Editor De sphaera of Johannes de Sacrobosco in the Early Modern Period The Authors of the Commentaries Editor Matteo Valleriani Max Planck Institute for the History of Science Berlin, Germany Technische Universität Berlin Berlin, Germany University of Tel Aviv Tel Aviv, Israel ISBN 978-3-030-30832-2 ISBN 978-3-030-30833-9 (eBook) https://doi.org/10.1007/978-3-030-30833-9 © The Editor(s) (if applicable) and The Author(s) 2020. This book is an open access publication. Open Access This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. The use of general descriptive names, registered names, trademarks, service marks, etc. -
Averroes' Natural Philosophy and Its Reception in the Latin West Http
Averroes’ Natural Philosophy and its Reception in the Latin West Edited by Paul J.J.M. Bakker With contributions from: Jean-Baptiste Brenet (Universite de Paris I – Pantheon-Sorbonne), Cristina Cerami (cnrs, umr 7219:sphere/chspam), Silvia Donati (Albertus-Magnus-Institut, Bonn), Dag Nikolaus Hasse (Julius-Maximilians-Universitat Wurzburg), Craig Martin (Oakland University), Edith Dudley Sylla (North Carolina State University), Cecilia Trifogli (All Souls College, Oxford) © 2015 by Leuven University Press / Presses Universitaires de Louvain / Universitaire Pers Leuven, Minderbroedersstraat 4, B-3000 Leuven (Belgium) ISBN 978 94 6270 046 8 D / 2015 / 1869 / 48 Distributed by Leuven University Press http://upers.kuleuven.be/nl/book/9789462700468 This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License: http://creativecommons.org/licenses/by-nc-nd/3.0/ 2015167 [Bakker] 001-Prelims-print [date 1510191536 : version 1509110900] page -3 AVERROES’ NATURAL PHILOSOPHY AND ITS RECEPTION IN THE LATIN WEST Edited by Paul J.J.M. Bakker LEUVEN UNIVERSITY PRESS Reprint from Averroes’ Natural Philosophy and its Reception in the Latin West - ISBN 978 94 6270 046 8 - © Leuven University Press, 2015 2015167 [Bakker] 001-Prelims-print [date 1510191536 : version 1509110900] page -4 © 2015 by De Wulf-Mansioncentrum – De Wulf-Mansion Centre Leuven University Press / Presses Universitaires de Louvain / Universitaire Pers Leuven Minderbroedersstraat 4, B-3000 Leuven (Belgium) All rights reserved. Except in those cases expressly determined by law, no part of this publication may be multiplied, saved in an automated datafile or made public in any way whatsoever without the express prior written consent of the publishers. ISBN 978 94 6270 046 8 D/2015/1869/48 NUR: 732 Reprint from Averroes’ Natural Philosophy and its Reception in the Latin West - ISBN 978 94 6270 046 8 - © Leuven University Press, 2015 2015167 [Bakker] 001-Prelims-print [date 1510191536 : version 1509110900] page -5 ..