Boethius, the Consolation of Philosophy (524)
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King Lfred's Version Off the Consolations of Boethius
King _lfred's Version off the Consolations of Boethius HENRY FROWDE, M A. PUBLISHER TO THE UNIVERSITY OF OF_0RD LONDON, EDINBURGH_ AND NEW YORK Kring e__lfred's Version o_/"the Consolations of Boethius _ _ Z)one into c_gfodern English, with an Introduction _ _ _ _ u_aa Litt.D._ Editor _o_.,I_ing .... i .dlfred_ OM Englis.h..ffgerAon2.' !ilo of the ' De Con.d.¢_onz,o,e 2 Oxford : _4t the Claro_don:,.....: PrestO0000 M D CCCC _eee_ Ioee_ J_el eeoee le e_ZNeFED AT THE_.e_EN_N PI_.._S _ee • • oeoo eee • oeee eo6_o eoee • ooeo e_ooo ..:.. ..'.: oe°_ ° leeeo eeoe ee •QQ . :.:.. oOeeo QOO_e 6eeQ aee...._ e • eee TO THE REV. PROFESSOR W. W. SKEAT LITT.D._ D.C.L._ LL.D.:_ PH.D. THIS _800K IS GRATEFULLY DEDICATED PREFACE THE preparationsfor adequately commemoratingthe forthcoming millenary of King Alfred's death have set going a fresh wave of popularinterest in that hero. Lectares have been given, committees formed, sub- scriptions paid and promised, and an excellent book of essays by eminent specialists has been written about Alfred considered under quite a number of aspects. That great King has himself told us that he was not indifferent to the opinion of those that should come after him, and he earnestly desired that that opinion should be a high one. We have by no means for- gotten him, it is true, but yet to verymany intelligent people he is, to use a paradox, a distinctly nebulous character of history. His most undying attributes in the memory of the people are not unconnected with singed cakes and romantic visits in disguise to the Danish viii Preface Danish camp. -
Plato As "Architectof Science"
Plato as "Architectof Science" LEONID ZHMUD ABSTRACT The figureof the cordialhost of the Academy,who invitedthe mostgifted math- ematiciansand cultivatedpure research, whose keen intellectwas able if not to solve the particularproblem then at least to show the methodfor its solution: this figureis quite familiarto studentsof Greekscience. But was the Academy as such a centerof scientificresearch, and did Plato really set for mathemati- cians and astronomersthe problemsthey shouldstudy and methodsthey should use? Oursources tell aboutPlato's friendship or at leastacquaintance with many brilliantmathematicians of his day (Theodorus,Archytas, Theaetetus), but they were neverhis pupils,rather vice versa- he learnedmuch from them and actively used this knowledgein developinghis philosophy.There is no reliableevidence that Eudoxus,Menaechmus, Dinostratus, Theudius, and others, whom many scholarsunite into the groupof so-called"Academic mathematicians," ever were his pupilsor close associates.Our analysis of therelevant passages (Eratosthenes' Platonicus, Sosigenes ap. Simplicius, Proclus' Catalogue of geometers, and Philodemus'History of the Academy,etc.) shows thatthe very tendencyof por- trayingPlato as the architectof sciencegoes back to the earlyAcademy and is bornout of interpretationsof his dialogues. I Plato's relationship to the exact sciences used to be one of the traditional problems in the history of ancient Greek science and philosophy.' From the nineteenth century on it was examined in various aspects, the most significant of which were the historical, philosophical and methodological. In the last century and at the beginning of this century attention was paid peredominantly, although not exclusively, to the first of these aspects, especially to the questions how great Plato's contribution to specific math- ematical research really was, and how reliable our sources are in ascrib- ing to him particular scientific discoveries. -
15 Famous Greek Mathematicians and Their Contributions 1. Euclid
15 Famous Greek Mathematicians and Their Contributions 1. Euclid He was also known as Euclid of Alexandria and referred as the father of geometry deduced the Euclidean geometry. The name has it all, which in Greek means “renowned, glorious”. He worked his entire life in the field of mathematics and made revolutionary contributions to geometry. 2. Pythagoras The famous ‘Pythagoras theorem’, yes the same one we have struggled through in our childhood during our challenging math classes. This genius achieved in his contributions in mathematics and become the father of the theorem of Pythagoras. Born is Samos, Greece and fled off to Egypt and maybe India. This great mathematician is most prominently known for, what else but, for his Pythagoras theorem. 3. Archimedes Archimedes is yet another great talent from the land of the Greek. He thrived for gaining knowledge in mathematical education and made various contributions. He is best known for antiquity and the invention of compound pulleys and screw pump. 4. Thales of Miletus He was the first individual to whom a mathematical discovery was attributed. He’s best known for his work in calculating the heights of pyramids and the distance of the ships from the shore using geometry. 5. Aristotle Aristotle had a diverse knowledge over various areas including mathematics, geology, physics, metaphysics, biology, medicine and psychology. He was a pupil of Plato therefore it’s not a surprise that he had a vast knowledge and made contributions towards Platonism. Tutored Alexander the Great and established a library which aided in the production of hundreds of books. -
Stony Brook University
SSStttooonnnyyy BBBrrrooooookkk UUUnnniiivvveeerrrsssiiitttyyy The official electronic file of this thesis or dissertation is maintained by the University Libraries on behalf of The Graduate School at Stony Brook University. ©©© AAAllllll RRRiiiggghhhtttsss RRReeessseeerrrvvveeeddd bbbyyy AAAuuuttthhhooorrr... Heraclitus and the Work of Awakening A Dissertation Presented by Nicolas Elias Leon Ruiz to The Graduate School in Partial Fulfillment of the Requirements for the Degree of Doctor of Philosophy in Philosophy Stony Brook University August 2007 Copyright by Nicolas Elias Leon Ruiz August 2007 Stony Brook University The Graduate School Nicolas Elias Leon Ruiz We, the dissertation committee for the above candidate for the Doctor of Philosophy degree, hereby recommend acceptance of this dissertation. Dr. Peter Manchester – Dissertation Advisor Associate Professor of Philosophy Dr. David Allison – Chairperson of Defense Professor of Philosophy Dr. Eduardo Mendieta Associate Professor of Philosophy Dr. Gregory Shaw Professor of Religious Studies Stonehill College This dissertation is accepted by the Graduate School Lawrence Martin Dean of the Graduate School ii Abstract of the Dissertation Heraclitus and the Work of Awakening by Nicolas Elias Leon Ruiz Doctor of Philosophy in Philosophy Stony Brook University 2007 Heraclitus is regarded as one of the foundational figures of western philosophy. As such, he is typically read as some species of rational thinker: empiricist, materialist, metaphysician, dialectician, phenomenologist, etc. This dissertation argues that all of these views of Heraclitus and his work are based upon profoundly mistaken assumptions. Instead, Heraclitus is shown to be a thoroughly and consistently mystical writer whose work is organized around the recurring theme of awakening. He is thus much more akin to figures such as Buddha, Lao Tzu, and Empedocles than to Aristotle or Hegel. -
6 X 10. Three Lines .P65
Cambridge University Press 978-0-521-83746-0 - Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King Carl A. Huffman Excerpt More information part one Introductory essays © Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-83746-0 - Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King Carl A. Huffman Excerpt More information chapter i Life, writings and reception sources (The original texts and translations of the testimonia for Archytas’ life are found in Part Three, Section One) Archytas did not live the life of a philosophical recluse. He was the leader of one of the most powerful Greek city-states in the first half of the fourth century bc. Unfortunately he is similar to most important Greek intellec- tuals of the fifth and fourth centuries bc, in that we have extremely little reliable information about his activities. This dearth of information is all the more frustrating since we know that Aristoxenus wrote a biography of Archytas, not long after his death (A9). Two themes bulk large in the bits of evidence that do survive from that biography and from other evidence for Archytas’ life. First, there is Archytas’ connection to Plato, which, as we will see, was more controversial in antiquity than in most modern scholarship. The Platonic Seventh Letter, whose authenticity continues to be debated, portrays Archytas as saving Plato from likely death, when Plato was visit- ing the tyrant Dionysius II at Syracuse in 361 bc. Second, for Aristoxenus, Archytas is the paradigm of a successful leader. Elected general (strat¯egos) repeatedly, he was never defeated in battle; as a virtuous, kindly and demo- cratic ruler, he played a significant role in the great prosperity of his native Tarentum, located on the heel of southern Italy. -
Platonist Philosopher Hypatia of Alexandria in Amenabar’S Film Agorá
A STUDY OF THE RECEPTION OF THE LIFE AND DEATH OF THE NEO- PLATONIST PHILOSOPHER HYPATIA OF ALEXANDRIA IN AMENABAR’S FILM AGORÁ GILLIAN van der HEIJDEN Submitted in partial fulfilment of the requirement for the degree of MASTER OF ARTS In the Faculty of Humanities School of Religion, Philosophy and Classics at the UNIVERSITY OF KWAZULU-NATAL, DURBAN SUPERVISOR: PROFESSOR J.L. HILTON MARCH 2016 DECLARATION I, Gillian van der Heijden, declare that: The research reported in this dissertation, except where otherwise indicated, is my original research; This dissertation has not been submitted for any degree or examination at any other university; This dissertation does not contain other persons’ data, pictures, graphs or other information, unless specifically acknowledged as being sourced from other persons; The dissertation does not contain other persons’ writing, unless specifically acknowledged as being sourced from other researchers. Where other written sources have been quoted, then: a) their words have been re-written but the general information attributed to them has been referenced; b) where their exact words have been used, their writing has been paragraphed and referenced; c) This dissertation/thesis does not contain text, graphics or tables copied and pasted from the Internet, unless specifically acknowledged, and the source being detailed in the dissertation/thesis and in the References sections. Signed: Gillian van der Heijden (Student Number 209541374) Professor J. L. Hilton ii ABSTRACT The film Agorá is better appreciated through a little knowledge of the rise of Christianity and its opposition to Paganism which professed ethical principles inherited from Greek mythology and acknowledged, seasonal rituals and wealth in land and livestock. -
A Mathematician Reads Plutarch: Plato's Criticism of Geometers of His Time
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Scholarship@Claremont Journal of Humanistic Mathematics Volume 7 | Issue 2 July 2017 A Mathematician Reads Plutarch: Plato's Criticism of Geometers of His Time John B. Little College of the Holy Cross Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the Ancient History, Greek and Roman through Late Antiquity Commons, and the Mathematics Commons Recommended Citation Little, J. B. "A Mathematician Reads Plutarch: Plato's Criticism of Geometers of His Time," Journal of Humanistic Mathematics, Volume 7 Issue 2 (July 2017), pages 269-293. DOI: 10.5642/ jhummath.201702.13 . Available at: https://scholarship.claremont.edu/jhm/vol7/iss2/13 ©2017 by the authors. This work is licensed under a Creative Commons License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information. A Mathematician Reads Plutarch: Plato's Criticism of Geometers of His Time Cover Page Footnote This essay originated as an assignment for Professor Thomas Martin's Plutarch seminar at Holy Cross in Fall 2016. -
A Short History of Greek Mathematics
Cambridge Library Co ll e C t i o n Books of enduring scholarly value Classics From the Renaissance to the nineteenth century, Latin and Greek were compulsory subjects in almost all European universities, and most early modern scholars published their research and conducted international correspondence in Latin. Latin had continued in use in Western Europe long after the fall of the Roman empire as the lingua franca of the educated classes and of law, diplomacy, religion and university teaching. The flight of Greek scholars to the West after the fall of Constantinople in 1453 gave impetus to the study of ancient Greek literature and the Greek New Testament. Eventually, just as nineteenth-century reforms of university curricula were beginning to erode this ascendancy, developments in textual criticism and linguistic analysis, and new ways of studying ancient societies, especially archaeology, led to renewed enthusiasm for the Classics. This collection offers works of criticism, interpretation and synthesis by the outstanding scholars of the nineteenth century. A Short History of Greek Mathematics James Gow’s Short History of Greek Mathematics (1884) provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. Parts I and II concern Greek arithmetic, including the origin of alphabetic numerals and the nomenclature for operations; Part III constitutes a complete history of Greek geometry, from its earliest precursors in Egypt and Babylon through to the innovations of the Ionic, Sophistic, and Academic schools and their followers. -
An Interview with Martin Davis
Notices of the American Mathematical Society ISSN 0002-9920 ABCD springer.com New and Noteworthy from Springer Geometry Ramanujan‘s Lost Notebook An Introduction to Mathematical of the American Mathematical Society Selected Topics in Plane and Solid Part II Cryptography May 2008 Volume 55, Number 5 Geometry G. E. Andrews, Penn State University, University J. Hoffstein, J. Pipher, J. Silverman, Brown J. Aarts, Delft University of Technology, Park, PA, USA; B. C. Berndt, University of Illinois University, Providence, RI, USA Mediamatics, The Netherlands at Urbana, IL, USA This self-contained introduction to modern This is a book on Euclidean geometry that covers The “lost notebook” contains considerable cryptography emphasizes the mathematics the standard material in a completely new way, material on mock theta functions—undoubtedly behind the theory of public key cryptosystems while also introducing a number of new topics emanating from the last year of Ramanujan’s life. and digital signature schemes. The book focuses Interview with Martin Davis that would be suitable as a junior-senior level It should be emphasized that the material on on these key topics while developing the undergraduate textbook. The author does not mock theta functions is perhaps Ramanujan’s mathematical tools needed for the construction page 560 begin in the traditional manner with abstract deepest work more than half of the material in and security analysis of diverse cryptosystems. geometric axioms. Instead, he assumes the real the book is on q- series, including mock theta Only basic linear algebra is required of the numbers, and begins his treatment by functions; the remaining part deals with theta reader; techniques from algebra, number theory, introducing such modern concepts as a metric function identities, modular equations, and probability are introduced and developed as space, vector space notation, and groups, and incomplete elliptic integrals of the first kind and required. -
Boethius the Demiurge
BOETHIUS THE DEMIURGE: TIMAEAN DOUBLE-CIRCLE SPIRAL STRUCTURE IN THE CONSOLATIO by Cristalle N. Watson Submitted in partial fulfilment of the requirements for the degree of Master of Arts at Dalhousie University Halifax, Nova Scotia April 2020 © Copyright by Cristalle N. Watson, 2020 For my Opa, Karl Heinz Hiob 1926-1999 Vir doctissimus & lover of words, who first introduced me to Latin Ars longa, vita brevis ii TABLE OF CONTENTS LIST OF TABLES..............................................................................................................vi LIST OF FIGURES...........................................................................................................vii ABSTRACT.....................................................................................................................viii ACKNOWLEDGEMENTS................................................................................................ix CHAPTER 1: INTRODUCTION........................................................................................1 CHAPTER 2: POETRY AND THE CIRCLE IN THE CONSOLATIO: AN OVERVIEW….............................................................................................................3 2.1 A "MULTIFACETED" CONSOLATIO AND AUTHOR.............................................3 2.2 THE METERS OF THE CONSOLATIO: A NEGLECTED STUDY............................11 2.3 IIIM9: CENTRAL PIVOT, TIMAEAN PARAPHRASE, PRAYER...........................17 2.4 THE CIRCLE IN THE CONSOLATIO AND IN IIIM9.............................................22 -
Marsilio Ficino, Philosopher, and Head of the Platonic Academy of Florence
Ho\oler Thef,, mutilation, and underlining of books '''«'P""<'^y action and may Zl',rTresult m dismissal from the University BUILDING US|E ONLY PEB-|6 1974 /£B . 6 197^ BUlLDlNcj USE ONLY 0CTi9|l979 OCT 131 L161 — O-I096 MARSILIO FICINO, PHILOSOPHER, AND HEAD OF THE PLATONIC ACADEMY OF FLORENCE BY HARRIET WELLS HOBLER A. B. Rockford College, 1882 THESIS Submitted in Partial Fulfillment of the Requirements for the Degree of MASTER OF ARTS IN HISTORY IN THE GRADUATE SCHOOL OP THE UNIVERSITY OF ILLINOIS 1917 H^^ UNIVERSITY OF ILLINOIS THE GRADUATE SCHOOL i -^^ .9. 7 I HEREBY RECOMMEND THAT THE THESIS PREPARED UNDER MY SUPER- VISION BY ____ ENTITLED BE ACCEPTED AS FULFILLING THIS PART OF THE REQUIREMENTS FOR THE DEGREE OF In Charge of Thesis Head of Department Recommendation concurred in :* Committee on Final Examination* ^Required for doctor's degree but not for master's. 376559 UlUc' . TABLE OF CONTENTS PROLOG: Two portraits of Marsilio Ficino. INTRODUCTION: The study of Greek in the fifteenth century CHAPTER I: Ficino' s early dedication to the study of Plato; his education; devotion to the work; Cosmo de' Medici's gifts to him; his study of Greek; his letters; his friends; intimate friendships; loyal- ty to Medici family; habits; personal appearance; character; his father, who lived with him; foreign friends; offers of honor and homes; death and burial CHAPTER II: The Florentine Academy; banquets, Landino' description of them; course of instruction in Acad emy; description of assembly rooms; importance; spread of movement. CHAPTER III: Ficino' s works; produced under Lorenzo's patronage; Dialogues of Plato; Enneads of Plotinus Teologica Platonica; Orphic Hymns; other writers of Neo-Platonic School; St. -
5. Hipparchus 6. Ptolemy
introduction | 15 catalogue included into his oeuvre? Our answer is in Hipparchus. The catalogue itself has not survived. the positive. We have developed a method to serve However, it is believed that the ecliptic longitude and this end, tested it on several veraciously dated cata- latitude of each star was indicated there, as well as the logues, and then applied it to the Almagest. The reader magnitude. It is believed that Hipparchus localised the shall find out about our results in the present book. stars using the same terms as the Almagest: “the star Let us now cite some brief biographical data con- on the right shoulder of Perseus”,“the star over the cerning the astronomers whose activities are imme- head of Aquarius” etc ([395], page 52). diately associated with the problem as described above. One invariably ponders the extreme vagueness of These data are published in Scaligerian textbooks. One this star localization method. Not only does it imply must treat them critically, seeing as how the Scaligerian a canonical system of drawing the constellations and version of history is based on an erroneous chronol- indicating the stars they include – another stipulation ogy (see Chron1 and Chron2). We shall consider is that there are enough identical copies of a single star other facts that confirm it in the present book. chart in existence. This is the only way to make the verbal descriptions of stars such as the above work 5. and help a researcher with the actual identification of HIPPARCHUS stars. However, in this case the epoch of the cata- logue’s propagation must postdate the invention of Scaligerian history is of the opinion that astron- the printing press and the engraving technique, since omy became a natural science owing to the works of no multiple identical copies of a single work could be Hipparchus, an astronomer from the “ancient” Greece manufactured earlier.