17.4 Essay Ball MH EL.Indd
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Thomas Ricklin, « Filosofia Non È Altro Che Amistanza a Sapienza » Nadja
Thomas Ricklin, « Filosofia non è altro che amistanza a sapienza » Abstract: This is the opening speech of the SIEPM world Congress held in Freising in August 2012. It illustrates the general theme of the Congress – The Pleasure of Knowledge – by referring mainly to the Roman (Cicero, Seneca) and the medieval Latin and vernacular tradition (William of Conches, Robert Grosseteste, Albert the Great, Brunetto Latini), with a special emphasis on Dante’s Convivio. Nadja Germann, Logic as the Path to Happiness: Al-Fa-ra-bı- and the Divisions of the Sciences Abstract: Divisions of the sciences have been popular objects of study ever since antiquity. One reason for this esteem might be their potential to reveal in a succinct manner how scholars, schools or entire societies thought about the body of knowledge available at their time and its specific structure. However, what do classifications tell us about thepleasures of knowledge? Occasionally, quite a lot, par- ticularly in a setting where the acquisition of knowledge is considered to be the only path leading to the pleasures of ultimate happiness. This is the case for al-Fa-ra-b-ı (d. 950), who is at the center of this paper. He is particularly interesting for a study such as this because he actually does believe that humanity’s final goal consists in the attainment of happiness through the acquisition of knowledge; and he wrote several treatises, not only on the classification of the sciences as such, but also on the underlying epistemological reasons for this division. Thus he offers excellent insight into a 10th-century theory of what knowledge essentially is and how it may be acquired, a theory which underlies any further discussion on the topic throughout the classical period of Islamic thought. -
Theories and Images of Creation in Northern Europe in the Twelfth Century
Art History ISSN 0141-6790 Vol. 22 No. 1 March 1999 pp. 3-55 In the Beginning: Theories and images of creation in Northern Europe in the twelfth century Conrad Rudolph 'Logic has made me hated by the world!' So Peter Abelard thought and wrote to his former lover, the brilliant Heloise, in probably his last letter to her before his death in 1142, after having been virtually driven from Paris by Bernard of Clairvaux, the austere Cistercian mystic and perhaps the most powerful ecclesiastical politician of Western Europe.1 Characteristically for Abelard in matters of self-conception, he was exaggerating. Logic had made him hated not by the world but by only a portion of it. While this was certainly an influential portion and one that had almost succeeded in destroying him, it could never do so entirely. In fact, logic had made Abelard 'the Socrates of the Gauls, the great Plato of the West, our Aristotle ... the prince of scholars'2- and this, this great fame and the almost unprecedented influence that accompanied it, was as much the problem as logic was. In a word, Abelard had been caught up in the politics of theology. The time was one of great theological inquiry, challenging, as it did, the very authority of divine revelation on the most fundamental level, and at a moment when both interest in secular learning and the number of students were dramatically increasing - all factors that can hardly be over-emphasized. But for certain elements within the Church, more still was at stake. And this was nothing less than a perceived assault on one of the basic underpinnings of the complex relationship between religion, theology, society and political power. -
A Reply to Peter Dronke Lodi Nauta William of Conches' Commentary On
© Lodi Nauta, in Studi Medievali, 45, 2004, 445-457 William of Conches and the “New Aristotle”: A Reply to Peter Dronke Lodi Nauta William of Conches’ commentary on Boethius’ Consolatio Philosophiae, which was his first work (ca. 1120), has come down to us in at least 17 manuscripts, containing the entire text of his Glosae super Boetium in its characteristic continuous-lemmatic form.1 The text, which is explicitly attributed to William in three manuscripts, has all the characteristic features of William’s method, style and philosophical outlook, and contains references to his projected commentaries on Macrobius, Martianus Capella and Plato. The work proved to be a successful one: there is a great number of Boethian manuscripts which testify to its wide dissemination throughout the Middle Ages.2 This rich material can be divided into several (not mutually exclusive) categories: glosses which (ultimately) go back to William’s work, and which are to be found in dozens of manuscripts; commentaries in the form of compilations in which parts of William’s work are mixed with other commentaries (e.g. that of Remigius of Auxerre from about 900 and his eleventh-century revisers); the marginal commentary that accompanies the Latin text of the Consolatio and Jean de Meun’s translation, Li Livres de Confort de Philosophie; and several other commentaries which derive material from William. Of special importance is a version, which, while keeping most of William’s text intact, is much longer and also in a different format. I have found at least eleven manuscripts of this version, but without doubt there are more to be found.3 The author adds substantially to the text, rewrites a large number of passages, and omits passages and quotations from William’s text. -
Pedoe, D., Geometry and the Liberal Arts, Penguin Books, Inc., 1976. [Pe1819] Peyrard, F., Les Oeuvres D’Euclide, Traduites Litteralment, C
ceton University Press, 1970. [Pe76] Pedoe, D., Geometry and the Liberal Arts, Penguin Books, Inc., 1976. [Pe1819] Peyrard, F., Les Oeuvres D’Euclide, Traduites Litteralment, C. F. Patris, Paris, 1819. [Pl1831] Playfair, J., Elements of Geometry; Containing the First Six Books of Euclid, Bell & Bradfute, Edinburgh, 1831. [PS85] Preparata, F. P. and Shamos, M. I., Computational Geometry: An Introduction, Spring- er-Verlag, 1985. [Ru51] Russell, B., The Autobiography of Bertrand Russell, Little, Brown & Co., Boston, 1951. [Sh28] Shenton, W. F., "The first English Euclid," American Mathematical Monthly, vol. 35, 1928, pp. 505-511. [SA48] Stark, M. E. and Archibald, R. C., "Jacob Steiner’s geometrical constructions with a ruler given a fixed circle with its center," (translated from the German 1833 edition), Scripta Mathematica, vol. 14, 1948, pp. 189-264. [Sm1879] Smith, J. H., Elements of Geometry, Rivingtons, Waterloo Place, London, 1879. [Sm61] Smogorzhevskii, A. S., The Ruler in Geometrical Constructions, Blaisdell, New York, 1961. [Ta1895] Taylor, H. M., Euclid’s Elements of Geometry, Cambridge University Press, 1895. [To1876] Todhunter, I., The Elements of Euclid, Copp, Clarck & Co., Toronto, 1876. [To84] Toussaint, G. T., "Computational geometric thinking as kinesthetic thinking," Confer- ence on Thinking, Harvard University, August 1984. [Wi1703] Williams, R., Elements of Euclid Explained and Demonstrated in a New and Most Easy Method, Globemaker, London, 1703. - 23 - From the Greek, Franz Steiner Verlag Wiesbaden GMBH, Stuttgart, 1987. [Cl1654] Clavio, C., Euclidis Elementorum, Jonae Rosae, Francofurti, 1654. [CR81] Courant, R. and Robbins, H., What is Mathematics? Oxford University Press, 1981. [Du90] Dunham, W., Journey Through Genius: The Great Theorems of Mathematics, John Wiley & Sons, Inc., 1990. -
The Arabic-Latin Translators – Natural Science and Philosophy
CHARLES BURNETT List of Publications Books, and articles over 100 pages long Articles and pamphlets, arranged thematically, and in chronological order within each topic The Arabic-Latin Translators – Natural Science and Philosophy – Astronomy and Astrology - Medicine and Psychology – Magic and Divination – Arithmetic and Geometry – Anglo- Norman Science and Learning in the Twelfth Century – Peter Abelard and the French Schools – Music – Contacts between the West and the Far East – Miscellaneous – Reviews (selection) List of editions of Latin texts in books and articles above (Please note that some diacritical markings are missing) Books, and articles over 100 pages long: 1. Hermann of Carinthia, De essentiis, critical edition, translation and commentary, Leiden, 1982, 385 pp. (reviews in Speculum, 1984, pp. 911–3, Cahiers de civilisation médiévale, 28, 1985, p. 685, Mittellateinisches Jahrbuch, 20, 1985, pp. 287–90, Deutsches Archiv, 41, 1985, p. 255, Rivista di storia della filosofia, 2, 1984, pp. 349–51, Bulletin de théologie ancienne et médiévale, 14, 1989, p. 695). 2. ‘A Checklist of the Manuscripts Containing Writings of Peter Abelard and Heloise and Other Works Closely Associated with Abelard and his School’, Revue d’histoire des textes, 14–15, 1984–5, pp. 183–302 (with David Luscombe and Julia Barrow). 3. Pseudo-Bede, De mundi celestis terrestrisque constitutione: a Treatise on the Universe and the Soul, edition, translation and commentary, Warburg Institute Surveys and Texts 10, London, 1985. 88 pp. (reviews in Isis, 77, 1986, pp. 182–3, Revue d’histoire ecclésiastique, 81, 1986, p. 742, Ambix, 33, 1986, p. 155, Journal of the History of Astronomy, 19, 1988, pp. -
Authority, Reason, and Experience in the Construction of Medieval Natural Knowledge
Assessing the Exotic: Authority, Reason, and Experience in the Construction of Medieval Natural Knowledge by Adam Gwyndaf Garbutt A thesis submitted in conformity with the requirements for the degree of Doctor of Philosophy Institute for the History and Philosophy of Science and Technology University of Toronto © Copyright by Adam Gwyndaf Garbutt, 2018 ii Assessing the Exotic: Authority, Reason, and Experience in the Construction of Medieval Natural Knowledge Adam Gwyndaf Garbutt Doctor of Philosophy Institute for the History and Philosophy of Science and Technology University of Toronto 2018 Abstract This study explores evidence structures in the medieval investigation of nature, particularly the marvelous or exotic nature that exists near the boundaries of natural philosophy. The marvelous, exotic, and unusual are fascinating to both readers and authors, providing windows into the ways in which the evidence structures of reason, authority, and experience were balanced in the assessment, explanation, and presentation of these phenomena. I look at four related works, each engaged with the compilation and presentation of particular information concerning animals and the diversity of the natural world. While these texts are bound together by shared topics and draw from a shared body of ancient and contemporary works, they each speak to different audiences and participate in different genres of literature. I argue that we can see in these works a contextually sensitive approach to the evaluation and presentation of evidence on the part of both the author and the audience. This project also seeks to bridge a gap between the intellectually rigorous medieval texts and works targeted at a wider reading audience that made use of the knowledge base of natural philosophy but were not necessarily produced or consumed within the scholastic context. -
Astral Magic and Adelard of Bath's Liber Prestigiorum
Astral Magic and Adelard of Bath’s Liber Prestigiorum; or Why Werewolves Change at the Full Moon ______________________________________________________________ Patricia Aakhus1 Abstract. Astral magic, the capturing of celestial spirits or rays in engraved stones at astronomically propitious times, enters the West with Adelard of Bath’s 12th century translation of Thabit ibn Qurra’s treatise on talismanic magic, Liber Prestigiorum. Derived from Greek, Babylonian, Sabian, Egyptian and Neo- Platonic magical theory and practice, astral magic requires profound knowledge of astronomy. Talismans draw down planetary spirits along stellar rays, the vehicles of transmission, following sympathetic correspondences between astronomical and terrestrial phenomena. In the 12th century works Guillaume de Palerne and Le Chevalier au Lion, magic rings and werewolves are tied to astral magic. These works were written for the English court that supported Adelard, and Gervase of Tilbury’s Otia Imperialia where ‘in England we have often seen men change into wolves according to the phases of the moon’ and ‘there is no precious stone which may not be consecrated for the exercise of its extrinsic power with the herb of the same name or with the blood of the bird or animal, combined with spells’. Adelard’s version of Thabit’s text, along with the Latin Picatrix, also derived from Thabit, had the greatest impact on learned magic in the medieval and early modern periods. In the final chapters of the Speculum Astronomiae, Albertus Magnus discusses astronomical texts which he considers abominable.2 At the top of his list—in first place—is Adelard of Bath’s early twelfth century Liber Praestigiorum.3 Attributed to Hermes Trismegistus, it is in fact the 1 Patricia Aakhus sadly died during the editing of these proceedings. -
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, -
History of Mathematics Education in the European Middle Ages
History of Mathematics Education in the European Middle Ages written for Handbook on History of Mathematics Education eds Gert Schubring & Alexander Karp Jens Høyrup Roskilde University Section for Philosophy and Science Studies http://www.akira.ruc.dk/~jensh PREPRINT 16 May 2012 Periodization and institutional types ............................ 1 The Dark Ages ............................................ 1 Carolingian to Ottonian Times ................................ 3 The “twelfth Century Renaissance” ............................. 7 The era of universities ....................................... 10 Lay schooling ............................................. 17 Master builders and other artisans ............................. 20 References ................................................ 20 Periodization and institutional types By lucky but adequate accident, “the Middle Ages” have become plural in English. The millennium that separates the definitive demise of the Western Roman Empire from the discovery of the New World and the Reformation can hardly be understood as one homogeneous period under any point of view – and certainly not if we look at mathematics education. The earliest phase, lasting until c. 750 CE, is known as “the Dark Ages” – both because surviving sources for this period are rare and because this rarity reflects a very low intensity of literate culture. During the ensuing “Central Middle Ages” (c. 750 to c. 1050, the epoch of Charlemagne and the Ottonian emperors), attempts at statal centralization led not only to creation of the cathedral school system but also to corresponding developments of monastic learning. The High (c. 1050 to c. 1300) and Late (c. 1300 to c. 1500) Middle Ages are characterized by the rise of city culture, which led to the emergence of the university system as well as to the appearance of institutionalized lay education – connected to but not identical with the Renaissance current. -
The Journey of a Book
THE JOURNEY OF A BOOK Bartholomew the Englishman and the Properties of Things Map of Europe in c.1230, showing locations significant withinThe Journey of a Book. Approx. indications of the frontiers of Christendom (western and eastern) and Islam, and of the Mongol advance, are based on McEvedy, Colin. The New Penguin Atlas of Medieval History. London: Penguin Books, 1992, pp.73, 77. THE JOURNEY OF A BOOK Bartholomew the Englishman and the Properties of Things Elizabeth Keen Published by ANU E Press The Australian National University Canberra ACT 0200, Australia Email: [email protected] This title is also available online at: http://epress.anu.edu.au/journey_citation.html National Library of Australia Cataloguing-in-Publication entry Keen, Elizabeth Joy. Journey of a book : Bartholomew the Englishman and the Properties of things. ISBN 9781921313066 (pbk.). ISBN 9781921313073 (web). 1. Bartholomaeus Anglicus, 13th cent. De proprietatibus rerum. 2. Encyclopedias and dictionaries - Early works to 1600 - History and criticism. 3. Philosophy of nature - Early works to 1800. I. Title. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying or otherwise, without the prior permission of the publisher. Cover design by Teresa Prowse Cover image: Cambridge University Library Gg. 6. 42. f. 5. St. Francis and Companion used by permission of the Syndics of Cambridge University Library. Printed by University Printing Services, ANU This edition © 2007 ANU E Press Table of Contents List of Figures vii Abbreviations ix Acknowledgements xi Chapter 1. Introduction 1 Chapter 2. -
Robert of Chester's Redaction of Euclid's Elements, the So
birkhauser-science.de H.L. Busard, M. Folkerts Robert of Chester’s Redaction of Euclid’s Elements, the so-called Adelard II Version Volume I Series: Science Networks. Historical Studies The Latin "Version II", till now attributed to Adelard of Bath, is edited here for the first time. It was the most influential Euclid text in the Latin West in the 12th and 13th centuries. As the large number of manuscripts and the numerous quotations in other scientific and philosophical 1992, 430 p. texts show, it was far better known than the three Euclid translations made from the Arabic in the 12th century (Adelard of Bath, version I; Hermann of Carinthia; Gerard of Cremona). Printed book Version II became the basis of later reworkings, in which the enunciations were taken over, but Hardcover new proofs supplied; the most important text of this kind is the redaction made by Campanus 109,99 € | £99.99 | $139.99 in the late 1250s, which became the standard Latin "Euclid" in the later Middle Ages. The [1] 117,69 € (D) | 120,99 € (A) | CHF introduction deals with the questions of when and by whom version II was written. Since 130,00 Marshall Clagett's fundamental article (1953) it has been generally accepted that version II is Softcover one of three Euclid texts attributable to Adelard of Bath. But a comparison of the text of 74,99 € | £64.99 | $89.99 version II with those of versions I and III yields little or no reason to assume that Adelard [1]80,24 € (D) | 82,49 € (A) | CHF was the author of version II. -
Charles Burnett (Ed.), Adelard of Bath: an English Scientist and Arabist of the Early Twelfth Century
Charles Burnett (ed.), Adelard of Bath: An English Scientist and Arabist of the Early Twelfth Century. London (Warburg Institute) 1987, 208 pp., £ 12. ISBN 0 85481 070 6 (Warburg Institute Surveys and Texts, 14). Published in Centaurus 33 (1991), 256–258 This volume, pleasant in style and workmanship as well as contents, grew out of a colloquium held at the Warburg Institute in 1984 and aiming at coverage of "as many facets of Adelard’s activity" as possible. Apart from enriched versions of the papers presented at the colloquium, the volume contains chapters on subjects not covered at that occasion, together with a catalogue of the writings of Adelard and his closest associates and a description of the manuscripts in which they occur. First comes an "Introduction" by the editor, describing the status of Adelard scholarship, and a bio-bibliographic article by Margaret Gibson, presenting inter alia what can plausibly be stated concerning his family origins—Continental, perhaps Lotharingian, arriving to England with the conquest; his own social status—a "gentleman scholar"; the dependency of his early works, De eodem et diverso as well as Quaestiones naturales, on the renewed Latin and Salernitan/Greek learning of the early twelfth century and not on real Arabic science; and his pivotal activity as a translator and expositor introducing the Elements and such tables which were needed in sophisticated astrology. Other articles confirm the picture of a scholar whose naturalism and astrology tended more toward magic than toward medicine. The remaining contributions can be classified in two main categories: Those dealing with specific Adelardian, quasi-Adelardian or pseudo-Adelardian works, and those exploring the wider contexts of Adelard.