King Lfred's Version Off the Consolations of Boethius
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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. -
A Chronological Particular Timeline of Near East and Europe History
Introduction This compilation was begun merely to be a synthesized, occasional source for other writings, primarily for familiarization with European world development. Gradually, however, it was forced to come to grips with the elephantine amount of historical detail in certain classical sources. Recording the numbers of reported war deaths in previous history (many thousands, here and there!) initially was done with little contemplation but eventually, with the near‐exponential number of Humankind battles (not just major ones; inter‐tribal, dynastic, and inter‐regional), mind was caused to pause and ask itself, “Why?” Awed by the numbers killed in battles over recorded time, one falls subject to believing the very occupation in war was a naturally occurring ancient inclination, no longer possessed by ‘enlightened’ Humankind. In our synthesized histories, however, details are confined to generals, geography, battle strategies and formations, victories and defeats, with precious little revealed of the highly complicated and combined subjective forces that generate and fuel war. Two territories of human existence are involved: material and psychological. Material includes land, resources, and freedom to maintain a life to which one feels entitled. It fuels war by emotions arising from either deprivation or conditioned expectations. Psychological embraces Egalitarian and Egoistical arenas. Egalitarian is fueled by emotions arising from either a need to improve conditions or defend what it has. To that category also belongs the individual for whom revenge becomes an end in itself. Egoistical is fueled by emotions arising from material possessiveness and self‐aggrandizations. To that category also belongs the individual for whom worldly power is an end in itself. -
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. -
Practicing Love of God in Medieval Jerusalem, Gaul and Saxony
he collection of essays presented in “Devotional Cross-Roads: Practicing Love of God in Medieval Gaul, Jerusalem, and Saxony” investigates test case witnesses of TChristian devotion and patronage from Late Antiquity to the Late Middle Ages, set in and between the Eastern and Western Mediterranean, as well as Gaul and the regions north of the Alps. Devotional practice and love of God refer to people – mostly from the lay and religious elite –, ideas, copies of texts, images, and material objects, such as relics and reliquaries. The wide geographic borders and time span are used here to illustrate a broad picture composed around questions of worship, identity, reli- gious affiliation and gender. Among the diversity of cases, the studies presented in this volume exemplify recurring themes, which occupied the Christian believer, such as the veneration of the Cross, translation of architecture, pilgrimage and patronage, emergence of iconography and devotional patterns. These essays are representing the research results of the project “Practicing Love of God: Comparing Women’s and Men’s Practice in Medieval Saxony” guided by the art historian Galit Noga-Banai, The Hebrew University of Jerusalem, and the histori- an Hedwig Röckelein, Georg-August-University Göttingen. This project was running from 2013 to 2018 within the Niedersachsen-Israeli Program and financed by the State of Lower Saxony. Devotional Cross-Roads Practicing Love of God in Medieval Jerusalem, Gaul and Saxony Edited by Hedwig Röckelein, Galit Noga-Banai, and Lotem Pinchover Röckelein/Noga-Banai/Pinchover Devotional Cross-Roads ISBN 978-3-86395-372-0 Universitätsverlag Göttingen Universitätsverlag Göttingen Hedwig Röckelein, Galit Noga-Banai, and Lotem Pinchover (Eds.) Devotional Cross-Roads This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. -
5.England.Beowulf.11.5
HISTORY OF ENGLAND, FALL QUARTER Week 5 Anglo Saxons and Beowulf Institute for the Study of Western Civilization FridayNovember 8, 2019 The Anglo-Saxons and Beowulf FridayNovember 8, 2019 FridayNovember 8, 2019 FridayNovember 8, 2019 The Anglo-Saxons and Beowulf FridayNovember 8, 2019 Beowulf is the longest epic poem in Old English, the language spoken in Anglo-Saxon England before the Norman Conquest. More than 3,000 lines long, Beowulf relates the exploits of Beowulf, and his successive battles with a monster named Grendel, with Grendel’s revengeful mother, and with a dragon which was guarding a hoard of treasure. FridayNovember 8, 2019 Beowulf survives in a single medieval manuscript now in the British Library London. The manuscript bears no date, and so its age has to be calculated by analysing the scribes’ handwriting. Some scholars have suggested that the manuscript was made at the end of the 10th century, others in the early decades of the 11th. The most likely time for Beowulf to have been copied is the early 11th century, which makes the manuscript approximately 1,000 years old. Nobody knows for certain when and where the poem was first composed, but it is likely it was composed in Denmark maybe in the 600s AD. FridayNovember 8, 2019 THE FIRST INVASION: Celts THE SECOND INVASION: Romans THE THIRD INVASION: Anglo-Saxon THE FOURTH INVASION: Vikings THE FIFTH INVASION: Normans FridayNovember 8, 2019 FridayNovember 8, 2019 Areas That Remain The Strong holds Of Celtic Britain FridayNovember 8, 2019 Parade helmet, gold, Agris, France, 350 BC FridayNovember 8, 2019 FridayNovember 8, 2019 Gauls 350 BC Anglo-Saxons 600 AD FridayNovember 8, 2019 THE FIRST INVASION: Celts THE SECOND INVASION: Romans THE THIRD INVASION: Anglo-Saxon THE FOURTH INVASION: Danes THE FIFTH INVASION: Normans FridayNovember 8, 2019 Caesar: 55 BC FridayNovember 8, 2019 What the Roman Conquest Did to Britain 1. -
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. -
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. -
Women in Early Pythagoreanism
Women in Early Pythagoreanism Caterina Pellò Faculty of Classics University of Cambridge Clare Hall February 2018 This dissertation is submitted for the degree of Doctor of Philosophy Alla nonna Ninni, che mi ha insegnato a leggere e scrivere Abstract Women in Early Pythagoreanism Caterina Pellò The sixth-century-BCE Pythagorean communities included both male and female members. This thesis focuses on the Pythagorean women and aims to explore what reasons lie behind the prominence of women in Pythagoreanism and what roles women played in early Pythagorean societies and thought. In the first chapter, I analyse the social conditions of women in Southern Italy, where the first Pythagorean communities were founded. In the second chapter, I compare Pythagorean societies with ancient Greek political clubs and religious sects. Compared to mainland Greece, South Italian women enjoyed higher legal and socio-political status. Similarly, religious groups included female initiates, assigning them authoritative roles. Consequently, the fact that the Pythagoreans founded their communities in Croton and further afield, and that in some respects these communities resembled ancient sects helps to explain why they opened their doors to the female gender to begin with. The third chapter discusses Pythagoras’ teachings to and about women. Pythagorean doctrines did not exclusively affect the followers’ way of thinking and public activities, but also their private way of living. Thus, they also regulated key aspects of the female everyday life, such as marriage and motherhood. I argue that the Pythagorean women entered the communities as wives, mothers and daughters. Nonetheless, some of them were able to gain authority over their fellow Pythagoreans and engage in intellectual activities, thus overcoming the female traditional domestic roles. -
What the Hellenism: Did Christianity Cause a Decline of Th Hellenism in 4 -Century Alexandria?
What the Hellenism: Did Christianity cause a decline of th Hellenism in 4 -century Alexandria? Classics Dissertation Exam Number B051946 B051946 2 Contents List of Figures ............................................................................................................................ 2 List of Abbreviations ................................................................................................................. 2 Introduction ................................................................................................................................ 3 Problems with Evidence ......................................................................................................... 8 Pagan Topography and Demography......................................................................................... 9 Christian Topography .............................................................................................................. 19 Civic Power Structures ............................................................................................................ 29 Intellectualism .......................................................................................................................... 38 Conclusion ............................................................................................................................... 47 Bibliography of Primary Sources in Translation ..................................................................... 52 Figure Bibliography ................................................................................................................