Anaxagoras' Theory of Change: a Response to Parmenides
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Who Was Protagoras? • Born in Abdêra, an Ionian Pólis in Thrace
Recovering the wisdom of Protagoras from a reinterpretation of the Prometheia trilogy Prometheus (c.1933) by Paul Manship (1885-1966) By: Marty Sulek, Ph.D. Indiana University Lilly Family School of Philanthropy For: Workshop In Multidisciplinary Philanthropic Studies February 10, 2015 Composed for inclusion in a Festschrift in honour of Dr. Laurence Lampert, a Canadian philosopher and leading scholar in the field of Nietzsche studies, and a professor emeritus of Philosophy at IUPUI. Adult Content Warning • Nudity • Sex • Violence • And other inappropriate Prometheus Chained by Vulcan (1623) themes… by Dirck van Baburen (1595-1624) Nietzsche on Protagoras & the Sophists “The Greek culture of the Sophists had developed out of all the Greek instincts; it belongs to the culture of the Periclean age as necessarily as Plato does not: it has its predecessors in Heraclitus, in Democritus, in the scientific types of the old philosophy; it finds expression in, e.g., the high culture of Thucydides. And – it has ultimately shown itself to be right: every advance in epistemological and moral knowledge has reinstated the Sophists – Our contemporary way of thinking is to a great extent Heraclitean, Democritean, and Protagorean: it suffices to say it is Protagorean, because Protagoras represented a synthesis of Heraclitus and Democritus.” Nietzsche, The Will to Power, 2.428 Reappraisals of the authorship & dating of the Prometheia trilogy • Traditionally thought to have been composed by Aeschylus (c.525-c.456 BCE). • More recent scholarship has demonstrated the play to have been written by a later, lesser author sometime in the 430s. • This new dating raises many questions as to what contemporary events the trilogy may be referring. -
The “Atomic Theory” of Leucippus, and Its Impact on Medicine Before Hippocrates
Selected Brief Contribution The “atomic theory” of Leucippus, and its impact on medicine before Hippocrates Gregory Tsoucalas MD, MSc, MS(c), PhD, Konstantinos Laios PhD, Marianna Karamanou MD, MSc, PhD, George Androutsos MD History of Medicine Department, Medical School, University of Athens, Greece Gregory Tsoucalas, Kononos Str. 62-64, P.C. 11633, Pagrati, Athens, Greece. Mobile: 6945298205, Email: [email protected] Hell J Nucl Med 2013; 16(1): 68-69 Published on line: 10 April 2013 Leucippus, teacher of Democritus, was the first to describe Among Leucippus works stand the “Great Cosmology” (in the “atomic theory” in an attempt to explain the genesis of greek: Μέγας Διάκοσμος: About Great Cosmos) and On the the matter. Although only a fraction of his work was saved, Mind (in greek: Περί Νού). Of this second treatise, only one the “atom”, the smallest and indivisible particle of matter, but very significant fragment has survived, where we can enclosing a vacuum in which other particles move, still re- read: “nothing is in vain, but everything happens because mains the funtamental element of modern physics. of a reason and necessity”. This aphorism, not only encap- Leucippus (5th century BC, ca 430 BC) (Fig. 1), was born sulates the rationalism of the Ionian Greek School philoso- most probably in the city of Avdera, in Southern Thrace, phy, but also constitutes the basic axiom of ancient Greek Greece, where also Democritus was born. The island of Mi- medicine concerning the rational interpretation of diseases los, the Greek colony in Italy, Elea and the Greek city of Mile- and their therapy, which was later taught and described in tus in Asia Minor, were also mentioned as his birthplace [1- “Corpus Hippocraticum” [21]. -
Thales of Miletus Sources and Interpretations Miletli Thales Kaynaklar Ve Yorumlar
Thales of Miletus Sources and Interpretations Miletli Thales Kaynaklar ve Yorumlar David Pierce October , Matematics Department Mimar Sinan Fine Arts University Istanbul http://mat.msgsu.edu.tr/~dpierce/ Preface Here are notes of what I have been able to find or figure out about Thales of Miletus. They may be useful for anybody interested in Thales. They are not an essay, though they may lead to one. I focus mainly on the ancient sources that we have, and on the mathematics of Thales. I began this work in preparation to give one of several - minute talks at the Thales Meeting (Thales Buluşması) at the ruins of Miletus, now Milet, September , . The talks were in Turkish; the audience were from the general popu- lation. I chose for my title “Thales as the originator of the concept of proof” (Kanıt kavramının öncüsü olarak Thales). An English draft is in an appendix. The Thales Meeting was arranged by the Tourism Research Society (Turizm Araştırmaları Derneği, TURAD) and the office of the mayor of Didim. Part of Aydın province, the district of Didim encompasses the ancient cities of Priene and Miletus, along with the temple of Didyma. The temple was linked to Miletus, and Herodotus refers to it under the name of the family of priests, the Branchidae. I first visited Priene, Didyma, and Miletus in , when teaching at the Nesin Mathematics Village in Şirince, Selçuk, İzmir. The district of Selçuk contains also the ruins of Eph- esus, home town of Heraclitus. In , I drafted my Miletus talk in the Math Village. Since then, I have edited and added to these notes. -
Meet the Philosophers of Ancient Greece
Meet the Philosophers of Ancient Greece Everything You Always Wanted to Know About Ancient Greek Philosophy but didn’t Know Who to Ask Edited by Patricia F. O’Grady MEET THE PHILOSOPHERS OF ANCIENT GREECE Dedicated to the memory of Panagiotis, a humble man, who found pleasure when reading about the philosophers of Ancient Greece Meet the Philosophers of Ancient Greece Everything you always wanted to know about Ancient Greek philosophy but didn’t know who to ask Edited by PATRICIA F. O’GRADY Flinders University of South Australia © Patricia F. O’Grady 2005 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, recording or otherwise without the prior permission of the publisher. Patricia F. O’Grady has asserted her right under the Copyright, Designs and Patents Act, 1988, to be identi.ed as the editor of this work. Published by Ashgate Publishing Limited Ashgate Publishing Company Wey Court East Suite 420 Union Road 101 Cherry Street Farnham Burlington Surrey, GU9 7PT VT 05401-4405 England USA Ashgate website: http://www.ashgate.com British Library Cataloguing in Publication Data Meet the philosophers of ancient Greece: everything you always wanted to know about ancient Greek philosophy but didn’t know who to ask 1. Philosophy, Ancient 2. Philosophers – Greece 3. Greece – Intellectual life – To 146 B.C. I. O’Grady, Patricia F. 180 Library of Congress Cataloging-in-Publication Data Meet the philosophers of ancient Greece: everything you always wanted to know about ancient Greek philosophy but didn’t know who to ask / Patricia F. -
The Mathematical Anti-Atomism of Plato's Timaeus
The mathematical anti-atomism of Plato’s Timaeus Luc Brisson, Salomon Ofman To cite this version: Luc Brisson, Salomon Ofman. The mathematical anti-atomism of Plato’s Timaeus. Ancient Philoso- phy, Philosophy Documentation Center, In press. hal-02923266 HAL Id: hal-02923266 https://hal.archives-ouvertes.fr/hal-02923266 Submitted on 26 Aug 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. The mathematical anti-atomism of Plato’s Timaeus Luc Brisson Salomon Ofman Centre Jean Pépin CNRS-Institut mathématique de Jussieu- CNRS-UMR 8230 Paris Rive Gauche École normale supérieure Sorbonne Université Paris Sciences Lettres Paris Université Abstract. In Plato’s eponymous dialogue, Timaeus, the main character presents the universe as an almost perfect sphere filled by tiny invisible particles having the form of four regular polyhedrons. At first glance, such a construction may seem close to an atomic theory. However, one does not find any text in Antiquity tying Timaeus’ cosmology to the atomists, and Aristotle made a clear distinction between Plato and the latter. Despite the cosmology in the Timaeus is so far apart from the one of the atomists, Plato is commonly presented in contemporary literature as some sort of atomist, sometimes as supporting a so-called form of ‘mathematical atomism’. -
Greek Color Theory and the Four Elements [Full Text, Not Including Figures] J.L
University of Massachusetts Amherst ScholarWorks@UMass Amherst Greek Color Theory and the Four Elements Art July 2000 Greek Color Theory and the Four Elements [full text, not including figures] J.L. Benson University of Massachusetts Amherst Follow this and additional works at: https://scholarworks.umass.edu/art_jbgc Benson, J.L., "Greek Color Theory and the Four Elements [full text, not including figures]" (2000). Greek Color Theory and the Four Elements. 1. Retrieved from https://scholarworks.umass.edu/art_jbgc/1 This Article is brought to you for free and open access by the Art at ScholarWorks@UMass Amherst. It has been accepted for inclusion in Greek Color Theory and the Four Elements by an authorized administrator of ScholarWorks@UMass Amherst. For more information, please contact [email protected]. Cover design by Jeff Belizaire ABOUT THIS BOOK Why does earlier Greek painting (Archaic/Classical) seem so clear and—deceptively— simple while the latest painting (Hellenistic/Graeco-Roman) is so much more complex but also familiar to us? Is there a single, coherent explanation that will cover this remarkable range? What can we recover from ancient documents and practices that can objectively be called “Greek color theory”? Present day historians of ancient art consistently conceive of color in terms of triads: red, yellow, blue or, less often, red, green, blue. This habitude derives ultimately from the color wheel invented by J.W. Goethe some two centuries ago. So familiar and useful is his system that it is only natural to judge the color orientation of the Greeks on its basis. To do so, however, assumes, consciously or not, that the color understanding of our age is the definitive paradigm for that subject. -
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. -
Early Greek Philosophy
P1: GNK/ABS P2: CSS/SCM P3: CSS/SCM QC: ANG/ADS T1: ADS CB162/Long CB162-FM1 January 29, 1999 13:56 The Cambridge Companion to EARLY GREEK PHILOSOPHY Edited by A. A. Long University of California, Berkeley iii P1: GNK/ABS P2: CSS/SCM P3: CSS/SCM QC: ANG/ADS T1: ADS CB162/Long CB162-FM1 January 29, 1999 13:56 published by the press syndicate of the university of cambridge The Pitt Building, Trumpington Street, Cambridge, United Kingdom cambridge university press The Edinburgh Building, Cambridge cb2 2ru, uk http: //www.cup.cam.ac.uk 40 West 20th Street, New York, ny 10011-4211, usa http: //www.cup.org 10 Stamford Road, Oakleigh, Melbourne 3166, Australia c Cambridge University Press 1999 This book 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. First published 1999 Printed in the United States of America Typeset in Trump Medieval 10/13 pt. in LATEX[tb] A catalog record for this book is available from the British Library. Library of Congress Cataloging-in-Publication Data The Cambridge companion to early Greek philosophy/edited by A. A. Long. p. cm. Includes bibliographical references (p. ) and indexes. isbn 0-521-44122-6 (hbk.) isbn 0-521-44667-8 (pbk.) 1. Philosophy, Ancient. 1. Long, A. A. B188.C35 1999 182 –dc21 98-38077 CIP isbn 0 521 44122 6 hardback isbn 0 521 44667 8 paperback iv P1: GNK/ABS P2: CSS/SCM P3: CSS/SCM QC: ANG/ADS T1: ADS CB162/Long CB162-FM1 January 29, 1999 13:56 contents Contributors page vii Preface xi Source abbreviations xv Lives and writings of the early Greek philosophers xvii Chronology xxix Map xxxi 1 The scope of early Greek philosophy a. -
The Fragments of Zeno and Cleanthes, but Having an Important
,1(70 THE FRAGMENTS OF ZENO AND CLEANTHES. ftonton: C. J. CLAY AND SONS, CAMBRIDGE UNIVERSITY PRESS WAREHOUSE, AVE MARIA LANE. ambriDse: DEIGHTON, BELL, AND CO. ltip>ifl: F. A. BROCKHAUS. #tto Hork: MACMILLAX AND CO. THE FRAGMENTS OF ZENO AND CLEANTHES WITH INTRODUCTION AND EXPLANATORY NOTES. AX ESSAY WHICH OBTAINED THE HARE PRIZE IX THE YEAR 1889. BY A. C. PEARSON, M.A. LATE SCHOLAR OF CHRIST S COLLEGE, CAMBRIDGE. LONDON: C. J. CLAY AND SONS, CAMBRIDGE UNIVERSITY PRESS WAREHOUSE. 1891 [All Rights reserved.] Cambridge : PBIXTKIi BY C. J. CLAY, M.A. AND SONS, AT THK UNIVERSITY PRKSS. PREFACE. S dissertation is published in accordance with thr conditions attached to the Hare Prize, and appears nearly in its original form. For many reasons, however, I should have desired to subject the work to a more under the searching revision than has been practicable circumstances. Indeed, error is especially difficult t<> avoid in dealing with a large body of scattered authorities, a the majority of which can only be consulted in public- library. to be for The obligations, which require acknowledged of Zeno and the present collection of the fragments former are Cleanthes, are both special and general. The Philo- soon disposed of. In the Neue Jahrbticher fur Wellmann an lofjie for 1878, p. 435 foil., published article on Zeno of Citium, which was the first serious of Zeno from that attempt to discriminate the teaching of Wellmann were of the Stoa in general. The omissions of the supplied and the first complete collection fragments of Cleanthes was made by Wachsmuth in two Gottingen I programs published in 187-i LS75 (Commentationes s et II de Zenone Citiensi et Cleaitt/ie Assio). -
Why the Water? the Vision of the World by Thales of Miletus
Necmettin Erbakan Üniversitesi İlahiyat Fakültesi Dergisi, sayı: 35, 2013, ss. 43-52. WHY THE WATER? THE VISION OF THE WORLD BY THALES OF MILETUS Andrzej KORCZAK Associate Professor, Warsaw University of Life Sciences - SGGW Department of Education and Culture [email protected] ABSTRACT This article is intended to show the presence of the element water in the pre- philosophical wisdom of the ancient Greeks. This provides an argument for an immaterial treatment of the element. In order to provide an insight into the philosophy of Thales, I shall gather together all preserved accounts concerning his views. Key Words: Thales, Aristotle, the element water. Niçin Su? Miletli Tales’in Evren Anlayışı Bu makalenin yazılış amacı antik Greklerin felsefe öncesi hikmetlerinde su unsuru- nun var olduğunu göstermektir. Bu çalışma söz konusu unsuru gayr-i maddi olarak ele alınması gerektiğini öne sürmektedir. Thales’in felsefesini daha iyi anlaşılmasını sağla- mak için onun görüşleriyle ilgili bütün mevcut bilgileri bir araya getireceğiz. Anahtar terimler: Tales, Aristo, su unsuru. There are many inaccurate interpretations of Thales’ views. They mostly come from the false assumptions regarding the element water. Oth- ers are results of the common failure of bringing together hardly or very rarely all preserved accounts concerning the views of this philosopher. Yet another error in interpreting Thales’ views stems from misinterpretations of Aristotle, who grasped almost none of the first philosophers. 44 Andrzej KORCZAK Thales, reputedly the first Greek philosopher, lived in Miletus at the turn of the 7th and 6th century B.C.1 His father was Examyes2 of Caria, and his mother, Cleobuline, was Greek and was famous for her riddles. -
The Origin of Life:Ahistory of Ancient Greek Theories
Curriculum Units by Fellows of the Yale-New Haven Teachers Institute 1980 Volume V: Man and the Environment The Origin of Life:Ahistory of Ancient Greek Theories Curriculum Unit 80.05.11 by Joyce Puglia This unit presents a history of scientific thought relating to the origin of life as explained mainly by early Greek scientific philosophers. The unit begins with Greek science during the eighth century B.C. and proceeds quickly into the seventh century B.C., concluding with the fourth century B.C. Since the scope is limited to this time period the unit will end with information that is presently, for the most part, outdated. The teacher must constantly remind the students of this fact. The purpose of this unit is not to impart scientific knowledge for its own sake. Rather, it is to show how scientific thinkers came to their conclusions based upon how science was viewed in the scheme of history. There are various high school courses taught, yet no specific course has been designed to relate the development of the academic disciplines to each other. Many science textbooks include the names of scientists who contributed valuable information upon which specific ideas were developed. Yet, most textbooks provide a minimum amount of information relating to the scientists themselves. It is my feeling that students will better understand the development of scientific thought if an opportunity can be provided in which a connection can be made between science and history. There are four general objectives for this unit. Upon completing the unit students will: 1. be familiar with the ideas of early scientific minds, 2. -
Empedocles 8
ONE EMPEDOCLES 8 EMPEDOCLES OLYMPIAN Empedocles’ dive into Etna has fascinated scholars, poets, and artists from ancient to modern times. Diogenes Laertius was so taken with it, in fact, that he gives two versions of the event. Biographically speaking, the story becomes even more fascinating as it becomes ever more clear that Emped- ocles was destined to leave the world precisely in this manner, his fate determined by biographers and historians and ultimately through his own writing. Empedocles’ philosophical works, the Purifications and the Phys- ics, were considered raw autobiographical data fit for the gleaning, and the manner in which Empedocles’ philosophy was transformed into his biography reveals more about ancient biographers, such as Diogenes Laer- tius, than it does about Empedocles. Out of the philosophy itself grew a legend that has haunted and intrigued us through the years. There was a tendency in the ancient world, by no means restricted to the biographers, to approach any given text as biographical.1 The poets were favorite subjects of this approach: Homer’s life was pieced together 12 Empedocles 13 from the Iliad and the Odyssey; Aeschylus was presumed to have fought at Salamis because he describes that battle in his Persians.2 The same is true of the philosophers in general, and for Empedocles and other archaic philosophers specifically, because of their use of the first-person “I” in their work. For our purposes, the pursuit of a biographical tradition that emerges from a philosopher’s work, the life of Empedocles is particularly instructive. First, because Empedocles was such a popular figure for the biographers, they have given us an enormous amount of biography to work with.