The Stuff of Matter in the Ancient World
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Archimedes of Syracuse
5 MARCH 2020 Engineering: Archimedes of Syracuse Professor Edith Hall Archimedes and Hiero II’s Syracuse Archimedes was and remains the most famous person from Syracuse, Sicily, in history. He belonged to the prosperous and sophisticated culture which the dominantly Greek population had built in the east of the island. The civilisation of the whole of ancient Sicily and South Italy was called by the Romans ‘Magna Graecia’ or ‘Great Greece’. The citis of Magna Graecia began to be annexed by the Roman Republic from 327 BCE, and most of Sicily was conquered by 272. But Syracuse, a large and magnificent kingdom, the size of Athens and a major player in the politics of the Mediterranean world throughout antiquity, succeeded in staying independent until 212. This was because its kings were allies of Rome in the face of the constant threat from Carthage. Archimedes was born into this free and vibrant port city in about 287 BCE, and as far as we know lived there all his life. When he was about twelve, the formidable Hiero II came to the throne, and there followed more than half a century of peace in the city, despite momentous power struggles going on as the Romans clashed with the Carthaginians and Greeks beyond Syracuse’s borders. Hiero encouraged arts and sciences, massively expanding the famous theatre. Archimedes’ background enabled him to fulfil his huge inborn intellectual talents to the full. His father was an astronomer named Pheidias. He was probably sent to study as a young man to Alexandria, home of the famous library, where he seems to have became close friend and correspondent of the great geographer and astonomer Eratosthenes, later to become Chief Librarian. -
A Centennial Celebration of Two Great Scholars: Heiberg's
A Centennial Celebration of Two Great Scholars: Heiberg’s Translation of the Lost Palimpsest of Archimedes—1907 Heath’s Publication on Euclid’s Elements—1908 Shirley B. Gray he 1998 auction of the “lost” palimp- tains four illuminated sest of Archimedes, followed by col- plates, presumably of laborative work centered at the Walters Matthew, Mark, Luke, Art Museum, the palimpsest’s newest and John. caretaker, remind Notices readers of Heiberg was emi- Tthe herculean contributions of two great classical nently qualified for scholars. Working one century ago, Johan Ludvig support from a foun- Heiberg and Sir Thomas Little Heath were busily dation. His stature as a engaged in virtually “running the table” of great scholar in the interna- mathematics bequeathed from antiquity. Only tional community was World War I and a depleted supply of manuscripts such that the University forced them to take a break. In 2008 we as math- of Oxford had awarded ematicians should honor their watershed efforts to him an honorary doc- make the cornerstones of our discipline available Johan Ludvig Heiberg. torate of literature in Photo courtesy of to even mathematically challenged readers. The Danish Royal Society. 1904. His background in languages and his pub- Heiberg lications were impressive. His first language was In 1906 the Carlsberg Foundation awarded 300 Danish but he frequently published in German. kroner to Johan Ludvig Heiberg (1854–1928), a He had publications in Latin as well as Arabic. But classical philologist at the University of Copenha- his true passion was classical Greek. In his first gen, to journey to Constantinople (present day Is- position as a schoolmaster and principal, Heiberg tanbul) to investigate a palimpsest that previously insisted that his students learn Greek and Greek had been in the library of the Metochion, i.e., the mathematics—in Greek. -
1 Unit 2 Pre-Socratic Thinkers and Their Contribution
UNIT 2 PRE-SOCRATIC THINKERS AND THEIR CONTRIBUTION Contents 2.0 Objectives 2.1 Introduction 2.2 Pre-Socratic Thinkers 2.3 The Schools of the Pre-Socratics 2.4 The Ionian School or The Milesian School 2.5 The Pythagorean Brotherhood 2.6 The Eleatic School 2.7 The Atomist School 2.8 Challenges to the Study of Pre-Socratics: 2.9 The Pre-Socratics as Scientists 2.10 So can we call Anaximanes a Scientist? 2.11 The Pre-Socratics and their Predecessors: 2.12 Pre-Socratics and Modern science 2.13 Let Us Sum Up 2.14 Key Words 2.15 Further Readings and References 2.16 Answers to Check Your Progress 2.0 OBJECTIVES This unit will help us to understand the following: • Who are the Pre-Socratics • Schools of the Pre-Socratics era • Pre-Socratics as Proto-Scientists or First Scientists • Pre-Socratics and modern Science. 1 2.1 INTRODUCTION It has become an academic sutra to say that the entire academic edifice of the western world is founded on firm foundation laid down by the Greeks. This revolution is said to have taken place in the sixth century BCE. But we know that science began even before the Greek period. Civilizations that developed around the basins of great rivers –the Nile, the Euphrates with the Tigris and the Indus manifest a lot of scientific know-how. These people developed science to meet their existential needs. But it was Greeks who discovered the philosophical explanation that led to the birth of theoretical science. This is accepted as their singular contribution as their contribution led to what we might call the scientific approach to the study of nature. -
Philosophy Sunday, July 8, 2018 12:01 PM
Philosophy Sunday, July 8, 2018 12:01 PM Western Pre-Socratics Fanon Heraclitus- Greek 535-475 Bayle Panta rhei Marshall Mcluhan • "Everything flows" Roman Jakobson • "No man ever steps in the same river twice" Saussure • Doctrine of flux Butler Logos Harris • "Reason" or "Argument" • "All entities come to be in accordance with the Logos" Dike eris • "Strife is justice" • Oppositional process of dissolving and generating known as strife "The Obscure" and "The Weeping Philosopher" "The path up and down are one and the same" • Theory about unity of opposites • Bow and lyre Native of Ephesus "Follow the common" "Character is fate" "Lighting steers the universe" Neitzshce said he was "eternally right" for "declaring that Being was an empty illusion" and embracing "becoming" Subject of Heideggar and Eugen Fink's lecture Fire was the origin of everything Influenced the Stoics Protagoras- Greek 490-420 BCE Most influential of the Sophists • Derided by Plato and Socrates for being mere rhetoricians "Man is the measure of all things" • Found many things to be unknowable • What is true for one person is not for another Could "make the worse case better" • Focused on persuasiveness of an argument Names a Socratic dialogue about whether virtue can be taught Pythagoras of Samos- Greek 570-495 BCE Metempsychosis • "Transmigration of souls" • Every soul is immortal and upon death enters a new body Pythagorean Theorem Pythagorean Tuning • System of musical tuning where frequency rations are on intervals based on ration 3:2 • "Pure" perfect fifth • Inspired -
MONEY and the EARLY GREEK MIND: Homer, Philosophy, Tragedy
This page intentionally left blank MONEY AND THE EARLY GREEK MIND How were the Greeks of the sixth century bc able to invent philosophy and tragedy? In this book Richard Seaford argues that a large part of the answer can be found in another momentous development, the invention and rapid spread of coinage, which produced the first ever thoroughly monetised society. By transforming social relations, monetisation contributed to the ideas of the universe as an impersonal system (presocratic philosophy) and of the individual alienated from his own kin and from the gods (in tragedy). Seaford argues that an important precondition for this monetisation was the Greek practice of animal sacrifice, as represented in Homeric epic, which describes a premonetary world on the point of producing money. This book combines social history, economic anthropology, numismatics and the close reading of literary, inscriptional, and philosophical texts. Questioning the origins and shaping force of Greek philosophy, this is a major book with wide appeal. richard seaford is Professor of Greek Literature at the University of Exeter. He is the author of commentaries on Euripides’ Cyclops (1984) and Bacchae (1996) and of Reciprocity and Ritual: Homer and Tragedy in the Developing City-State (1994). MONEY AND THE EARLY GREEK MIND Homer, Philosophy, Tragedy RICHARD SEAFORD cambridge university press Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press The Edinburgh Building, Cambridge cb2 2ru, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521832281 © Richard Seaford 2004 This publication is in copyright. -
Days Without End —Mortality and Immortality of Life Cycle— Kumi Ohno
(83) Days Without End —Mortality and Immortality of Life Cycle— Kumi Ohno Introduction Eugene O’Neill’s Days Without End (herein referred to as “Days” ) was premiered on December 27th, 1933 at Plymouth Theatre in Boston. The play consists of four acts and six scenes. The author tried to excavate the “crisis awareness” against an intrinsic nature of mankind through this play. In Dynamo which was written in 1929, O’Neill introduced four gods: “Puritan god”, “electricity god”, “Dynamo” and “the real god representing the eternal life”. In the story, however, Ruben, the main character, who seeks the salvation from these gods, is unable to find the true answer and commits suicide. In Days, the main character barely but successfully finds out the religious significance of the purpose of life and continues to have hope and the will to live, which is quite different from other O’Neill’s plays. This play was written in 1930s during the great economic depres sion and the anxiety of the people described in Dynamo is inherited by this play, although the subject is dug from the different aspect. However, as seen from the author’s efforts of rewriting the script several times, his attempts to reach the final conclusion was not successful for many years. The play was finally published after rewriting eight times during the period between 1931–1934.1 Days is considered to be the worst play of Eugene O’Neill. Ah, Wilderness!, which was highly acclaimed by the critics and which ran 289 performances, was written almost in the same 1 Doris V. -
Rethinking Athenian Democracy.Pdf
Rethinking Athenian Democracy A dissertation presented by Daniela Louise Cammack to The Department of Government in partial fulfillment of the requirements for the degree of Doctor of Philosophy in the subject of Political Science Harvard University Cambridge, Massachusetts January 2013 © 2013 Daniela Cammack All rights reserved. Professor Richard Tuck Daniela Cammack Abstract Conventional accounts of classical Athenian democracy represent the assembly as the primary democratic institution in the Athenian political system. This looks reasonable in the light of modern democracy, which has typically developed through the democratization of legislative assemblies. Yet it conflicts with the evidence at our disposal. Our ancient sources suggest that the most significant and distinctively democratic institution in Athens was the courts, where decisions were made by large panels of randomly selected ordinary citizens with no possibility of appeal. This dissertation reinterprets Athenian democracy as “dikastic democracy” (from the Greek dikastēs, “judge”), defined as a mode of government in which ordinary citizens rule principally through their control of the administration of justice. It begins by casting doubt on two major planks in the modern interpretation of Athenian democracy: first, that it rested on a conception of the “wisdom of the multitude” akin to that advanced by epistemic democrats today, and second that it was “deliberative,” meaning that mass discussion of political matters played a defining role. The first plank rests largely on an argument made by Aristotle in support of mass political participation, which I show has been comprehensively misunderstood. The second rests on the interpretation of the verb “bouleuomai” as indicating speech, but I suggest that it meant internal reflection in both the courts and the assembly. -
Anaximander's Ἄπειρον
1 Pulished in: Ancient Philosophy Volume 39, Issue 1, Spring 2019 Anaximander’s ἄπειρον: from the Life-world to the Cosmic Event Horizon Norman Sieroka Pages 1-22 https://doi.org/10.5840/ancientphil2019391 1 Current affiliation of author (July 2020): Theoretische Philosophie, Universität Bremen www.uni-bremen.de/theophil/sieroka Abstract Scholars have claimed repeatedly that Anaximander’s notion of the ἄπειρον marks the first metaphysical concept, or even the first theoretical entity, in Western thought. The present paper scrutinizes this claim. Characterizing natural phenomena as ἄπειρος— that is, as being inexhaustible or untraversable by standard human means—was common in daily practice, especially when referring to landmasses and seas but also when referring to vast numbers of countable objects. I will deny the assumption that Anaximander’s notion started off as being a theoretical answer to a specific philosophical question. That said, the aforementioned everyday notion of ἄπειρος could still lead to the development of theoretical concepts. Based on the observations Anaximander did with seasonal sundials, the inexhaustible landmasses and seas just mentioned became depicted on his world map by means of concentric circles. These circles then marked the bounds of experience and, by being fixed and finite, suggested the possibility of traversing beyond what is directly experienced. Evaluating claims from recent Anaximander scholarship, the paper ends with a brief comparison with concepts from modern physics which play an analogous role of demarcating the bounds of experience. Anaximander’s ἄπειρον: from the Life-world to the Cosmic Event Horizon Norman Sieroka Interest in Anaximander (c. 610-c. 547 BC) has increased in recent years. -
Anaximander and the Problem of the Earth's Immobility
Binghamton University The Open Repository @ Binghamton (The ORB) The Society for Ancient Greek Philosophy Newsletter 12-28-1953 Anaximander and the Problem of the Earth's Immobility John Robinson Windham College Follow this and additional works at: https://orb.binghamton.edu/sagp Recommended Citation Robinson, John, "Anaximander and the Problem of the Earth's Immobility" (1953). The Society for Ancient Greek Philosophy Newsletter. 263. https://orb.binghamton.edu/sagp/263 This Article is brought to you for free and open access by The Open Repository @ Binghamton (The ORB). It has been accepted for inclusion in The Society for Ancient Greek Philosophy Newsletter by an authorized administrator of The Open Repository @ Binghamton (The ORB). For more information, please contact [email protected]. JOHN ROBINSON Windham College Anaximander and the Problem of the Earth’s Immobility* N the course of his review of the reasons given by his predecessors for the earth’s immobility, Aristotle states that “some” attribute it I neither to the action of the whirl nor to the air beneath’s hindering its falling : These are the causes with which most thinkers busy themselves. But there are some who say, like Anaximander among the ancients, that it stays where it is because of its “indifference” (όμοιότητα). For what is stationed at the center, and is equably related to the extremes, has no reason to go one way rather than another—either up or down or sideways. And since it is impossible for it to move simultaneously in opposite directions, it necessarily stays where it is.1 The ascription of this curious view to Anaximander appears to have occasioned little uneasiness among modern commentators. -
Archimedes Palimpsest a Brief History of the Palimpsest Tracing the Manuscript from Its Creation Until Its Reappearance Foundations...The Life of Archimedes
Archimedes Palimpsest A Brief History of the Palimpsest Tracing the manuscript from its creation until its reappearance Foundations...The Life of Archimedes Birth: About 287 BC in Syracuse, Sicily (At the time it was still an Independent Greek city-state) Death: 212 or 211 BC in Syracuse. His age is estimated to be between 75-76 at the time of death. Cause: Archimedes may have been killed by a Roman soldier who was unaware of who Archimedes was. This theory however, has no proof. However, the dates coincide with the time Syracuse was sacked by the Roman army. The Works of Archimedes Archimedes' Writings: • Balancing Planes • Quadrature of the Parabola • Sphere and Cylinder • Spiral Lines • Conoids and Spheroids • On Floating Bodies • Measurement of a Circle • The Sandreckoner • The Method of Mechanical Problems • The Stomachion The ABCs of Archimedes' work Archimedes' work is separated into three Codeces: Codex A: Codex B: • Balancing Planes • Balancing Planes • Quadrature of the Parabola • Quadrature of the Parabola • Sphere and Cylinder • On Floating Bodies • Spiral Lines Codex C: • Conoids and Spheroids • The Method of Mechanical • Measurement of a Circle Problems • The Sand-reckoner • Spiral Lines • The Stomachion • On Floating Bodies • Measurement of a Circle • Balancing Planes • Sphere and Cylinder The Reappearance of the Palimpsest Date: On Thursday, October 29, 1998 Location: Christie's Acution House, NY Selling price: $2.2 Million Research on Palimpsest was done by Walter's Art Museum in Baltimore, MD The Main Researchers Include: William Noel Mike Toth Reviel Netz Keith Knox Uwe Bergmann Codex A, B no more Codex A and B no longer exist. -
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. -
1 Anaximander and the Origins of Greek Philosophy
1 Anaximander and the Origins of Greek Philosophy The Problem and the Three Tiers of Explanation ow shall we account for the origins of Greek philoso- phy? To answer the question requires, first of all, that we determine precisely what we are trying to explain. HThis, of course, proves to be a daunting task for it is in large measure a perennial problem for philosophers: What exactly is philosophy, and what did it mean to the ancient Greeks? We can profitably distinguish two kinds of questions in our inquiries: (A) What are the defining characteristics of Greek philosophy in terms of which we can distinguish it from earlier pre- philosophical thought? (B) What explains the rise of this particular type of thinking in Greece? 15 16 Anaximander Naturally, the answer we give to (A) will affect the way we and the approach (B). Reflecting upon the diverse scholarly literature Architects over the course of the last century, the disparate views and approaches suggest, not surprisingly, that there is considerable disagreement about precisely what “Greek philosophy” denotes and connotes.When the variety of opinions have been assem- bled, however, they may be roughly but usefully classified into two groups. On the one hand, we have what might be called first-tier accounts. These accounts answer (A) by identifying epistemological and ontological concerns in the systematic pro- grams of Plato and Aristotle as characteristic of philosophical thought. First-tier approaches offer historical narratives that tend to look backward in time, before the classical period, to determine who should and who should not be included in the story that leads up to them.