FEDERICO CASELLA, University of Salerno, Italy [email protected] Studying the History of Pythagoreanism Is a Difficult T
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Two Late Fifth Century B.C. Hoards from South Italy
Two late fifth century B.C. Hoards from south Italy Autor(en): Kraay, Colin M. Objekttyp: Article Zeitschrift: Schweizerische numismatische Rundschau = Revue suisse de numismatique = Rivista svizzera di numismatica Band (Jahr): 49 (1970) PDF erstellt am: 08.10.2021 Persistenter Link: http://doi.org/10.5169/seals-173963 Nutzungsbedingungen Die ETH-Bibliothek ist Anbieterin der digitalisierten Zeitschriften. Sie besitzt keine Urheberrechte an den Inhalten der Zeitschriften. Die Rechte liegen in der Regel bei den Herausgebern. Die auf der Plattform e-periodica veröffentlichten Dokumente stehen für nicht-kommerzielle Zwecke in Lehre und Forschung sowie für die private Nutzung frei zur Verfügung. Einzelne Dateien oder Ausdrucke aus diesem Angebot können zusammen mit diesen Nutzungsbedingungen und den korrekten Herkunftsbezeichnungen weitergegeben werden. Das Veröffentlichen von Bildern in Print- und Online-Publikationen ist nur mit vorheriger Genehmigung der Rechteinhaber erlaubt. Die systematische Speicherung von Teilen des elektronischen Angebots auf anderen Servern bedarf ebenfalls des schriftlichen Einverständnisses der Rechteinhaber. Haftungsausschluss Alle Angaben erfolgen ohne Gewähr für Vollständigkeit oder Richtigkeit. Es wird keine Haftung übernommen für Schäden durch die Verwendung von Informationen aus diesem Online-Angebot oder durch das Fehlen von Informationen. Dies gilt auch für Inhalte Dritter, die über dieses Angebot zugänglich sind. Ein Dienst der ETH-Bibliothek ETH Zürich, Rämistrasse 101, 8092 Zürich, Schweiz, www.library.ethz.ch http://www.e-periodica.ch COLIN M. KRAAY TWO LATE FIFTH CENTURY B.C. HOARDS FROM SOUTH ITALY Although the first of the hoards here described was found long ago and dispersed immediately after discovery, it still seems possible to extract from the surviving account more detailed information about its contents than has yet been done. -
The Coinage of Akragas C
ACTA UNIVERSITATIS UPSALIENSIS Studia Numismatica Upsaliensia 6:1 STUDIA NUMISMATICA UPSALIENSIA 6:1 The Coinage of Akragas c. 510–406 BC Text and Plates ULLA WESTERMARK I STUDIA NUMISMATICA UPSALIENSIA Editors: Harald Nilsson, Hendrik Mäkeler and Ragnar Hedlund 1. Uppsala University Coin Cabinet. Anglo-Saxon and later British Coins. By Elsa Lindberger. 2006. 2. Münzkabinett der Universität Uppsala. Deutsche Münzen der Wikingerzeit sowie des hohen und späten Mittelalters. By Peter Berghaus and Hendrik Mäkeler. 2006. 3. Uppsala universitets myntkabinett. Svenska vikingatida och medeltida mynt präglade på fastlandet. By Jonas Rundberg and Kjell Holmberg. 2008. 4. Opus mixtum. Uppsatser kring Uppsala universitets myntkabinett. 2009. 5. ”…achieved nothing worthy of memory”. Coinage and authority in the Roman empire c. AD 260–295. By Ragnar Hedlund. 2008. 6:1–2. The Coinage of Akragas c. 510–406 BC. By Ulla Westermark. 2018 7. Musik på medaljer, mynt och jetonger i Nils Uno Fornanders samling. By Eva Wiséhn. 2015. 8. Erik Wallers samling av medicinhistoriska medaljer. By Harald Nilsson. 2013. © Ulla Westermark, 2018 Database right Uppsala University ISSN 1652-7232 ISBN 978-91-513-0269-0 urn:nbn:se:uu:diva-345876 (http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-345876) Typeset in Times New Roman by Elin Klingstedt and Magnus Wijk, Uppsala Printed in Sweden on acid-free paper by DanagårdLiTHO AB, Ödeshög 2018 Distributor: Uppsala University Library, Box 510, SE-751 20 Uppsala www.uu.se, [email protected] The publication of this volume has been assisted by generous grants from Uppsala University, Uppsala Sven Svenssons stiftelse för numismatik, Stockholm Gunnar Ekströms stiftelse för numismatisk forskning, Stockholm Faith and Fred Sandstrom, Haverford, PA, USA CONTENTS FOREWORDS ......................................................................................... -
Values and Traditions of South Australian Italian Migrants
Values and traditions of South Australian Italian migrants from Caulonia (Calabria) Daniela Cosmini-Rose (Abstract) To what extent do South Australian Italian migrants from Caulonia (Calabria) maintain their cultural practices and traditions in everyday life in Adelaide, Australia? This is one of the main questions that this paper aims to explore. Cauloniese migration is particularly interesting because of the proportionately large percentage of arrivals in South Australia. Among the Australian states, South Australia was by far the preferred destination of the cauloniesi, followed by Western Australia and Victoria. Caulonia is an ancient village of Greek origins perched high on a hilltop, situated in the Calabria region, one hundred and twenty-one kilometres north- east of Reggio Calabria and sixty-four kilometres south of Catanzaro (the capital city of the Calabria region). Agriculture has been for centuries the primary means of subsistence of the whole village, and still today it plays a major role in its economy. The primary agricultural products are citrus fruits, cereals, olives and vegetables. The industrial sector is particularly weak because of the lack of investments, and the unemployment rate is higher than the national average. Rose, Daniela 2006. Values and traditions of South Australian Italian migrants from Caulonia (Calabria). 'Migration of Cultures Symposium', 10-13 April. Flinders University. [abstract]. Archived at Flinders University: dspace.flinders.edu.au 2 There is not a family in Caulonia that does not have one or more relatives who have migrated either to northern Italy or to other countries such as Australia, the USA, Canada, Argentina, Venezuela or France. Due to migration, the town’s population has steadily declined from a peak of 13,838 in 1921 to just 7,756 in 2001. -
Middle Comedy: Not Only Mythology and Food
Acta Ant. Hung. 56, 2016, 421–433 DOI: 10.1556/068.2016.56.4.2 VIRGINIA MASTELLARI MIDDLE COMEDY: NOT ONLY MYTHOLOGY AND FOOD View metadata, citation and similar papersTHE at core.ac.ukPOLITICAL AND CONTEMPORARY DIMENSION brought to you by CORE provided by Repository of the Academy's Library Summary: The disappearance of the political and contemporary dimension in the production after Aris- tophanes is a false belief that has been shared for a long time, together with the assumption that Middle Comedy – the transitional period between archaia and nea – was only about mythological burlesque and food. The misleading idea has surely risen because of the main source of the comic fragments: Athenaeus, The Learned Banqueters. However, the contemporary and political aspect emerges again in the 4th c. BC in the creations of a small group of dramatists, among whom Timocles, Mnesimachus and Heniochus stand out (significantly, most of them are concentrated in the time of the Macedonian expansion). Firstly Timocles, in whose fragments the personal mockery, the onomasti komodein, is still present and sharp, often against contemporary political leaders (cf. frr. 17, 19, 27 K.–A.). Then, Mnesimachus (Φίλιππος, frr. 7–10 K.–A.) and Heniochus (fr. 5 K.–A.), who show an anti- and a pro-Macedonian attitude, respec- tively. The present paper analyses the use of the political and contemporary element in Middle Comedy and the main differences between the poets named and Aristophanes, trying to sketch the evolution of the genre, the points of contact and the new tendencies. Key words: Middle Comedy, Politics, Onomasti komodein For many years, what is known as the “food fallacy”1 has been widespread among scholars of Comedy. -
Fiboquadratic Sequences and Extensions of the Cassini Identity Raised from the Study of Rithmomachia
Fiboquadratic sequences and extensions of the Cassini identity raised from the study of rithmomachia Tom´asGuardia∗ Douglas Jim´enezy October 17, 2018 To David Eugene Smith, in memoriam. Mathematics Subject Classification: 01A20, 01A35, 11B39 and 97A20. Keywords: pythagoreanism, golden ratio, Boethius, Nicomachus, De Arithmetica, fiboquadratic sequences, Cassini's identity and rithmomachia. Abstract In this paper, we introduce fiboquadratic sequences as a consequence of an extension to infinity of the board of rithmomachia. Fiboquadratic sequences approach the golden ratio and provide extensions of Cassini's Identity. 1 Introduction Pythagoreanism was a philosophical tradition, that left a deep influence over the Greek mathematical thought. Its path can be traced until the Middle Ages, and even to present. Among medieval scholars, which expanded the practice of the pythagoreanism, we find Anicius Manlius Severinus Boethius (480-524 A.D.) whom by a free translation of De Institutione Arithmetica by Nicomachus of Gerasa, preserved the pythagorean teaching inside the first universities. In fact, Boethius' book became the guide of study for excellence during quadriv- ium teaching, almost for 1000 years. The learning of arithmetic during the arXiv:1509.03177v3 [math.HO] 22 Nov 2016 quadrivium, made necessary the practice of calculation and handling of basic mathematical operations. Surely, with the mixing of leisure with this exercise, Boethius' followers thought up a strategy game in which, besides the training of mind calculation, it was used to preserve pythagorean traditions coming from the Greeks and medieval philosophers. Maybe this was the origin of the philoso- phers' game or rithmomachia. Rithmomachia (RM, henceforward) became the ∗Department of Mathematics. -
The University of Western Ontario Department of Philosophy Comprehensive Exam Reading List Early Modern Philosophy (1580-1800)
The University of Western Ontario Department of Philosophy Comprehensive Exam Reading List Early Modern Philosophy (1580-1800) Michael Montaigne. “Apology for Raymond Sebond.” Translated by Roger Ariew and Marjorie Grene. Indianapolis: Hackett Publishing, 2003. [164] Rene Descartes. Meditations on First Philosophy and The Second and Fourth Sets of Objections and Replies. Volume 2 of The Philosophical Writings of Descartes. Translated by John Cottingham, Robert Stoothoff, and Dugald Murdoch. Cambridge: Cambridge University Press, 1984. [133] Thomas Hobbes. Leviathan. Edited by Edwin Curley. Indianapolis: Hackett Publishing, 1994. Parts I and II. [239] Baruch Spinoza. The Ethics. In Baruch Spinoza: Ethics, Treatise on the Emendation of the Intellect and Selected Letters. Translated by Samuel Shirley. Indianapolis: Hackett Publishing, 1992. Parts I and II. [70] Nicolas Malebranche. Search after Truth. In Nicolas Malebranche: Philosophical Selections. Edited by Steven Nadler. Indianapolis: Hackett Publishing, 1992. [144] G.W. Leibniz. “Primary Truths,” “Discourse on Metaphysics,” “The Correspondence with Arnauld” and “The Principles of Nature and Grace.” In G.W. Leibniz: Philosophical Essays. Translated by Roger Ariew and Daniel Garber. Indianapolis: Hackett Publishing, 1989. [65] John Locke. An Essay concerning Human Understanding. Edited by Kenneth Winkler. Indianapolis: Hackett Publishing, 1996. II.i-xxxiii, III.iii and vi, and IV.i-iv and xi- xvi. [217] John Locke. Two Treaties of Government. Edited by Peter Laslett. Cambridge: Cambridge University Press, 1960. Second Treatise. [161] The British Moralists (Shaftesbury, Mandeville, Hutcheson, and Butler). The British Moralists 1650-1800. Volume 1, Hobbes – Gay. Edited by D.D. Raphael. Pp. 169- 188, 229-236, 261-299, and 325-364. [73] Pierre Bayle. -
OUT of TOUCH: PHILOPONUS AS SOURCE for DEMOCRITUS Jaap
OUT OF TOUCH: PHILOPONUS AS SOURCE FOR DEMOCRITUS Jaap Mansfeld 1. Introduction The view that according to Democritus atoms cannot touch each other, or come into contact, has been argued by scholars, most recently and carefully by C.C.W. Taylor, especially in his very useful edition of the fragments of the early Atomists.1 I am not concerned here with the theoretical aspect of this issue, that is to say with the view that the early Atomists should have argued (or posthumously admitted) that atoms cannot touch each other because only the void that separates them prevents fusion. I wish to focus on the ancient evidence for this interpretation. Our only ancient source for this view happens to be Philoponus; to be more precise, one brief passage in his Commentary on Aristotle’s Physics (fr. 54c Taylor) and two brief passages in that on Aristotle’s On Generation and Corruption (54dand54eTaylor~67A7 DK). These commentaries, as is well known, are notes of Ammonius’ lectures, with additions by Philoponus himself. Bodnár has argued that this evidence is not good enough, because all other ancient sources, in the first place Aristotle, are eloquently silent on a ban on contact; what we have here therefore are ‘guesses of Philoponus, which are solely based on the text of Aristotle’.2 Taylor admits the force of this objection, but sticks to his guns: ‘perhaps’, 1 Taylor (1997) 222,(1999) 186–188, 192–193,(1999a) 184, cf. the discussion in Kline and Matheson (1987) and Godfrey (1990). On the problems related to the assumption that attraction plays an important part see further the cautious remarks of Morel (1996) 422–424, who however does not take into account the passages in Philoponus which suggest that atoms cannot touch each other. -
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. -
An Introduction to Pythagorean Arithmetic
AN INTRODUCTION TO PYTHAGOREAN ARITHMETIC by JASON SCOTT NICHOLSON B.Sc. (Pure Mathematics), University of Calgary, 1993 A THESIS SUBMITTED IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF MASTER OF SCIENCE in THE FACULTY OF GRADUATE STUDIES Department of Mathematics We accept this thesis as conforming tc^ the required standard THE UNIVERSITY OF BRITISH COLUMBIA March 1996 © Jason S. Nicholson, 1996 In presenting this thesis in partial fulfilment of the requirements for an advanced degree at the University of British Columbia, I agree that the Library shall make it freely available for reference and study. I further agree that permission for extensive copying of this thesis for scholarly purposes may be granted by the head of my i department or by his or her representatives. It is understood that copying or publication of this thesis for financial gain shall not be allowed without my written permission. Department of The University of British Columbia Vancouver, Canada Dale //W 39, If96. DE-6 (2/88) Abstract This thesis provides a look at some aspects of Pythagorean Arithmetic. The topic is intro• duced by looking at the historical context in which the Pythagoreans nourished, that is at the arithmetic known to the ancient Egyptians and Babylonians. The view of mathematics that the Pythagoreans held is introduced via a look at the extraordinary life of Pythagoras and a description of the mystical mathematical doctrine that he taught. His disciples, the Pythagore• ans, and their school and history are briefly mentioned. Also, the lives and works of some of the authors of the main sources for Pythagorean arithmetic and thought, namely Euclid and the Neo-Pythagoreans Nicomachus of Gerasa, Theon of Smyrna, and Proclus of Lycia, are looked i at in more detail. -
Law and Economy in Classical Athens: [Demosthenes], “Against Dionysodorus”
is is a version of an electronic document, part of the series, Dēmos: Clas- sical Athenian Democracy, a publicationpublication ofof e Stoa: a consortium for electronic publication in the humanities [www.stoa.org]. e electronic version of this article off ers contextual information intended to make the study of Athenian democracy more accessible to a wide audience. Please visit the site at http:// www.stoa.org/projects/demos/home. Law and Economy in Classical Athens: [Demosthenes], “Against Dionysodorus” S is article was originally written for the online discus- sion series “Athenian Law in its Democratic Context,” organized by Adriaan Lanni and sponsored by Harvard University’s Center for Hellenic Studies. (Suggested Read- ing: Demosthenes , “Against Dionysodorus.”) Sometime around a man named Dareius brought a private action in an Athenian court against a merchant called Dionysodorus. Dareius and his business partner Pamphilus had made a loan to Dionysodorus and his part- ner Parmeniscus for a trading voyage to Egypt and back. In his opening words of his speech to the court, Dareius describes the risks confronting men who made maritime loans. Edward M. Harris, “Law and Economy in Classical Athens: [Demosthenes] ‘Against Dionysodorus,’” in A. Lanni, ed., “Athenian Law in its Democratic Context” (Center for Hellenic Studies On-Line Discussion Series). Republished with permission in C. Blackwell, ed., Dēmos: Classical Athenian Democracy (A.(A. MahoneyMahoney andand R.R. Scaife,Scaife, edd.,edd., e Stoa: a consortium for electronic publication in the humanities [www.stoa.org], . © , E.M. Harris. “We who decide to engage in maritime trade and to en- trust our property to other men are clearly aware of this fact: the borrower has an advantage over us in every re- spect. -
9 · the Growth of an Empirical Cartography in Hellenistic Greece
9 · The Growth of an Empirical Cartography in Hellenistic Greece PREPARED BY THE EDITORS FROM MATERIALS SUPPLIED BY GERMAINE AUJAe There is no complete break between the development of That such a change should occur is due both to po cartography in classical and in Hellenistic Greece. In litical and military factors and to cultural developments contrast to many periods in the ancient and medieval within Greek society as a whole. With respect to the world, we are able to reconstruct throughout the Greek latter, we can see how Greek cartography started to be period-and indeed into the Roman-a continuum in influenced by a new infrastructure for learning that had cartographic thought and practice. Certainly the a profound effect on the growth of formalized know achievements of the third century B.C. in Alexandria had ledge in general. Of particular importance for the history been prepared for and made possible by the scientific of the map was the growth of Alexandria as a major progress of the fourth century. Eudoxus, as we have seen, center of learning, far surpassing in this respect the had already formulated the geocentric hypothesis in Macedonian court at Pella. It was at Alexandria that mathematical models; and he had also translated his Euclid's famous school of geometry flourished in the concepts into celestial globes that may be regarded as reign of Ptolemy II Philadelphus (285-246 B.C.). And it anticipating the sphairopoiia. 1 By the beginning of the was at Alexandria that this Ptolemy, son of Ptolemy I Hellenistic period there had been developed not only the Soter, a companion of Alexander, had founded the li various celestial globes, but also systems of concentric brary, soon to become famous throughout the Mediter spheres, together with maps of the inhabited world that ranean world. -
Preliminary Studies on the Scholia to Euripides
Preliminary Studies on the Scholia to Euripides CALIFORNIA CLASSICAL STUDIES NUMBER 6 Editorial Board Chair: Donald Mastronarde Editorial Board: Alessandro Barchiesi, Todd Hickey, Emily Mackil, Richard Martin, Robert Morstein-Marx, J. Theodore Peña, Kim Shelton California Classical Studies publishes peer-reviewed long-form scholarship with online open access and print-on-demand availability. The primary aim of the series is to disseminate basic research (editing and analysis of primary materials both textual and physical), data-heavy re- search, and highly specialized research of the kind that is either hard to place with the leading publishers in Classics or extremely expensive for libraries and individuals when produced by a leading academic publisher. In addition to promoting archaeological publications, papyrologi- cal and epigraphic studies, technical textual studies, and the like, the series will also produce selected titles of a more general profile. The startup phase of this project (2013–2017) is supported by a grant from the Andrew W. Mellon Foundation. Also in the series: Number 1: Leslie Kurke, The Traffic in Praise: Pindar and the Poetics of Social Economy, 2013 Number 2: Edward Courtney, A Commentary on the Satires of Juvenal, 2013 Number 3: Mark Griffith, Greek Satyr Play: Five Studies, 2015 Number 4: Mirjam Kotwick, Alexander of Aphrodisias and the Text of Aristotle’s Metaphys- ics, 2016 Number 5: Joey Williams, The Archaeology of Roman Surveillance in the Central Alentejo, Portugal, 2017 PRELIMINARY STUDIES ON THE SCHOLIA TO EURIPIDES Donald J. Mastronarde CALIFORNIA CLASSICAL STUDIES Berkeley, California © 2017 by Donald J. Mastronarde. California Classical Studies c/o Department of Classics University of California Berkeley, California 94720–2520 USA http://calclassicalstudies.org email: [email protected] ISBN 9781939926104 Library of Congress Control Number: 2017916025 CONTENTS Preface vii Acknowledgments xi Abbreviations xiii Sigla for Manuscripts of Euripides xvii List of Plates xxix 1.