Hypatia of Alexandria Valerie Dupont, SRC
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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. -
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. -
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. -
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 ................................................................................................................ -
MA 341 Fall 2011
MA 341 Fall 2011 The Origins of Geometry 1.1: Introduction In the beginning geometry was a collection of rules for computing lengths, areas, and volumes. Many were crude approximations derived by trial and error. This body of knowledge, developed and used in construction, navigation, and surveying by the Babylonians and Egyptians, was passed to the Greeks. The Greek historian Herodotus (5th century BC) credits the Egyptians with having originated the subject, but there is much evidence that the Babylonians, the Hindu civilization, and the Chinese knew much of what was passed along to the Egyptians. The Babylonians of 2,000 to 1,600 BC knew much about navigation and astronomy, which required knowledge of geometry. Clay tablets from the Sumerian (2100 BC) and the Babylonian cultures (1600 BC) include tables for computing products, reciprocals, squares, square roots, and other mathematical functions useful in financial calculations. Babylonians were able to compute areas of rectangles, right and isosceles triangles, trapezoids and circles. They computed the area of a circle as the square of the circumference divided by twelve. The Babylonians were also responsible for dividing the circumference of a circle into 360 equal parts. They also used the Pythagorean Theorem (long before Pythagoras), performed calculations involving ratio and proportion, and studied the relationships between the elements of various triangles. See Appendices A and B for more about the mathematics of the Babylonians. 1.2: A History of the Value of π The Babylonians also considered the circumference of the circle to be three times the diameter. Of course, this would make 3 — a small problem. -
The Cambridge History of Philosophy in Late Antiquity
THE CAMBRIDGE HISTORY OF PHILOSOPHY IN LATE ANTIQUITY The Cambridge History of Philosophy in Late Antiquity comprises over forty specially commissioned essays by experts on the philosophy of the period 200–800 ce. Designed as a successor to The Cambridge History of Later Greek and Early Medieval Philosophy (ed. A. H. Armstrong), it takes into account some forty years of schol- arship since the publication of that volume. The contributors examine philosophy as it entered literature, science and religion, and offer new and extensive assess- ments of philosophers who until recently have been mostly ignored. The volume also includes a complete digest of all philosophical works known to have been written during this period. It will be an invaluable resource for all those interested in this rich and still emerging field. lloyd p. gerson is Professor of Philosophy at the University of Toronto. He is the author of numerous books including Ancient Epistemology (Cambridge, 2009), Aristotle and Other Platonists (2005)andKnowing Persons: A Study in Plato (2004), as well as the editor of The Cambridge Companion to Plotinus (1996). The Cambridge History of Philosophy in Late Antiquity Volume II edited by LLOYD P. GERSON cambridge university press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, Sao˜ Paulo, Delhi, Dubai, Tokyo, Mexico City Cambridge University Press The Edinburgh Building, Cambridge cb2 8ru,UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521876421 C Cambridge University Press 2010 This publication is in copyright. Subject to statutory exception and to the provisions of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. -
From Mythology to Science: the Development of Scientific
From mythology to science: the development of scientific hydrological concepts in the Greek antiquity and its relevance to modern hydrology Demetris Koutsoyiannis* and Nikos Mamassis Department of Water Resources and Environmental Engineering, School of Civil Engineering, National Technical 5 University of Athens, Heroon Polytechneiou 5, GR 157 80 Zographou, Greece * Corresponding author: [email protected] Abstract. Whilst hydrology is a Greek term, it has not been in use in the Classical literature but much later, during the Renaissance, in its Latin version, hydrologia. On the other hand, Greek natural philosophers (or, in modern vocabulary, scientists) created robust knowledge in related scientific areas, to which they gave names such as meteorology, climate and 10 hydraulics. These terms are now in common use internationally. Greek natural philosophers laid the foundation of hydrological 30 Deleted: Within these areas, concepts and the hydrological cycle in its entirety. Knowledge development was brought about by search for technological solutions to practical problems, as well as by scientific curiosity. While initial explanations belong to the sphere of mythology, Deleted: to explain natural phenomena the rise of philosophy was accompanied by the quest for scientific descriptions of the phenomena. It appears that the first Deleted: attempts to provide geophysical problem formulated in scientific terms was the explanation of the flood regime of the Nile, then regarded as a 15 paradox because of the spectacular difference from the river flow regime in Greece, i.e., the fact that the Nile flooding occurs Deleted: and other Mediterranean regions in summer when in most of the Mediterranean the rainfall is very low. -
HYPATIA of ALEXANDRIA? Yale Center for British Art, Paul Mellon Collection Paul British Art, for Center Yale
Bill of Rights Constitutional Rights in Action Foundation FALL 2018 Volume 34 No1 WHO WAS HYPATIA OF ALEXANDRIA? Yale Center for British Art, Paul Mellon Collection British Art, Paul for Center Yale A 19th century British artist’s depiction of Hypatia teaching at Alexandria. As you read, notice how people’s perceptions of Hypatia’s story have varied over the centuries. Hypatia of Alexandria was a philosopher, astronomer, mathe- In the 4th century CE when Hypatia lived, one major matician, and political advisor of great renown in her day. Unfor- school of philosophy was Neoplatonism, which literally tunately, it is likely that none of her philosophical or meant “new Platonism.” Neoplatonism was a renewal of mathematical written work survives. But several historical ac- counts of her life and work do. Her violent death in 415 CE at the Plato’s philosophy that forms (ideas) are more real than hands of a Christian mob has been a source of debate ever since. the physical world. Ideas could take on mystical and spir- itual qualities. Neoplatonist philosophy even influenced Hypatia was born sometime between 350 and 370 several Christian thinkers in its time, as well as Jewish CE in Alexandria in northern Egypt. The Greek con- and Islamic thinkers later in the Middle Ages. queror Alexander the Great founded the city in the third As a Neoplatonist, Hypatia had a primary interest century BCE. Alexandria later became a cosmopolitan in discovering the mathematical structures that under- crossroads of the Roman Empire and was a major seaport gird the natural world. Hypatia may have written com- and center of learning and industry. -
Hypatia's Lover
HYPATIA’S LOVER D. R. Khashaba Hypatia c.370 – c.415 AD (Imaginary portrait, from Little Journeys to the Homes of Great Teachers by Elbert Hubbard (New York: Roycrafters), 1908,) Contents Foreword and Acknowledgements .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. p. .. Hypatia’s Lover .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. p. .. Postlude .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. p. .. The Book that Mariam Dropped .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. p. .. Sources .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. .. p. .. Foreword and Acknowledgements This is a fictionalized account of the last days of Hypatia’s life, leading to her brutal murder during Lent, 415 AD. The tragic tale is followed by a collection of imaginary excerpts from lectures and speeches of Hypatia. The little that is known of Hypatia’s life and work is readily accessible on the internet. (See the rich resource page maintained by Howard A. Landman: http://www.polyamory.org/~howard/Hypatia/.) The classical source is the Life of Hypatia by Socrates Scholasticus, a contemporary of Hypatia, in his Ecclesiastical History. The Suda Lexicon, the 10th century encyclopedia, has a long entry on Hypatia, which apparently assembles uncritically material from conflicting earlier sources without any attempt at reconciling them. In the story line I have not tampered with any known facts. The myth of Isis and Osiris, of which I make considerable use, is also readily accessible on the internet in various versions. (See for instance: http://www.akhet.co.uk/isisosir.htm, http://www.ctio.noao.edu/instruments/ir_instruments/osiris2soar/tale.html, and http://www.egyptianmyths.net/mythisis.htm. The rendition given here is mine. For the quotations from Plotinus I have used the English translation of Elmer O’Brien, S.J. (The Essential Plotinus, 1964). The citations are noted at the end of the book. -
Hypatia J. M. Rist Phoenix, Vol. 19, No. 3. (Autumn, 1965), Pp. 214-225
Hypatia J. M. Rist Phoenix, Vol. 19, No. 3. (Autumn, 1965), pp. 214-225. Stable URL: http://links.jstor.org/sici?sici=0031-8299%28196523%2919%3A3%3C214%3AH%3E2.0.CO%3B2-%23 Phoenix is currently published by Classical Association of Canada. Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/journals/cac.html. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. The JSTOR Archive is a trusted digital repository providing for long-term preservation and access to leading academic journals and scholarly literature from around the world. The Archive is supported by libraries, scholarly societies, publishers, and foundations. It is an initiative of JSTOR, a not-for-profit organization with a mission to help the scholarly community take advantage of advances in technology. For more information regarding JSTOR, please contact [email protected]. http://www.jstor.org Sun Nov 18 09:34:31 2007 HYPATIA F!E~UMABLYfor English-speaking readers the trouble began with Gibbon,' who knew the tragic end of Hypatia, daughter of Theon, and used his knowledge, as had some of his predecessors in antiquity, to vilify Cyril, Patriarch of Alexandria. -
The Greek Age of Mathematics Contents
The Greek Age of Mathematics c Ken W. Smith, 2012 Last modified on February 15, 2012 Contents 2 The Greek Age 2 2.1 Thales, the Pythagoreans and the first Greek proofs . .2 2.1.1 The Pythagoreans . .5 2.1.2 Pythagorean numerology . .5 2.1.3 Commensurable numbers . .5 2.1.4 The impact of noncommensurability . .7 2.1.5 Two types of Pythagorean triples . .8 2.1.6 Polygonal numbers . .8 2.2 The Euclidean tools . 10 2.2.1 The Euclidean calculator . 10 2.2.2 The quadratic formula . 11 2.2.3 The Fundamental Theorem of Algebra and Euclid's lemma . 11 2.2.4 Quadrature . 12 2.3 Euclid's Elements ......................................... 13 2.3.1 The fabric of mathematics . 13 2.3.2 The preamble to the Elements ............................. 14 2.3.3 Propositions from Book I . 15 2.3.4 Euclid's Proposition I.47 . 18 2.4 Elements,PartII......................................... 21 2.4.1 Books II, III, IV . 21 2.4.2 Triangles and their centers . 21 2.4.3 Books V and VI . 22 2.4.4 Books VII, VIII, IX . 22 2.4.5 Book X . 23 2.4.6 Books XI, XII, XIII . 23 2.5 The Greeks after Euclid . 24 2.5.1 Eratosthenes and the Greek view of the universe . 24 2.5.2 Chords and trigonometry . 25 2.5.3 Archimedes . 26 2.5.4 Apollonius and conic sections . 26 2.5.5 Volumes and Areas . 27 2.6 Conclusion of the Greek Age . 34 2.6.1 Diophantus and Diophantine equations .