1. Philolaus and the Pythagorean Tradition
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New Candidate Pits and Caves at High Latitudes on the Near Side of the Moon
52nd Lunar and Planetary Science Conference 2021 (LPI Contrib. No. 2548) 2733.pdf NEW CANDIDATE PITS AND CAVES AT HIGH LATITUDES ON THE NEAR SIDE OF THE MOON. 1,2 1,3,4 1 2 Wynnie Avent II and Pascal Lee , S ETI Institute, Mountain View, VA, USA, V irginia Polytechnic Institute 3 4 and State University Blacksburg, VA, USA. M ars Institute, N ASA Ames Research Center. Summary: 35 new candidate pits are identified in Anaxagoras and Philolaus, two high-latitude impact structures on the near side of the Moon. Introduction: Since the discovery in 2009 of the Marius Hills Pit (Haruyama et al. 2009), a.k.a. the “Haruyama Cavern”, over 300 hundred pits have been identified on the Moon (Wagner & Robinson 2014, Robinson & Wagner 2018). Lunar pits are small (10 to 150 m across), steep-walled, negative relief features (topographic depressions), surrounded by funnel-shaped outer slopes and, unlike impact craters, no raised rim. They are interpreted as collapse features resulting from the fall of the roof of shallow (a few Figure 1: Location of studied craters (Polar meters deep) subsurface voids, generally lava cavities. projection). Although pits on the Moon are found in mare basalt, impact melt deposits, and highland terrain of the >300 Methods: Like previous studies searching for pits pits known, all but 16 are in impact melts (Robinson & (Wagner & Robinson 2014, Robinson & Wagner 2018, Wagner 2018). Many pits are likely lava tube skylights, Lee 2018a,b,c), we used imaging data collected by the providing access to underground networks of NASA Lunar Reconnaissance Orbiter (LRO) Narrow tunnel-shaped caves, including possibly complex Angle Camera (NAC). -
'Pythagorean' Kingship Treatises
Meeting Different Needs The Implied Readers ofthe ‘Pythagorean’ Kingship Treatises Michael Trapp To cite this version: Michael Trapp. Meeting Different Needs The Implied Readers of the ‘Pythagorean’ Kingship Treatises. KTÈMA Civilisations de l’Orient, de la Grèce et de Rome antiques, Université de Strasbourg, 2020, Les traités néopythagoriciens Sur la royauté, 45, pp.143-160. halshs-03071732 HAL Id: halshs-03071732 https://halshs.archives-ouvertes.fr/halshs-03071732 Submitted on 16 Dec 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. KTÈMA KTÈMA KTÈMA CIVILISATIONS DE L’ORIENT, DE LA GRÈCE ET DE ROME ANTIQUES CIVILISATIONS DE L’ORIENT, DE LA GRÈCE ET DE ROME ANTIQUES KTÈMA est une revue annuelle de recherche consacrée à l’histoire, l’archéologie et la littérature de la Grèce, de Rome, de l’Égypte et du Les traités néopythagoriciens Sur la royauté Proche-Orient antiques. Fondée en 1976 par Edmond Frézouls et Anne Gangloff Introduction ..............................................................................................................................5 -
De Theognide Megarensi. Nietzsche on Theognis of Megara. a Bilingual Edition
FRIEDRICH NIETZSCHE De Theognide Megarensi Nietzsche on Theognis of Megara – A Bilingual Edition – Translated by R. M. Kerr THE NIETZSCHE CHANNEL Friedrich Nietzsche De Theognide Megarensi Nietzsche on Theognis of Megara A bilingual edition Translated by R. M. Kerr ☙ editio electronica ❧ _________________________________________ THE N E T ! " # H E # H A N N E $ % MM&' Copyright © Proprietas interpretatoris Roberti Martini Kerrii anno 2015 Omnia proprietatis iura reservantur et vindicantur. Imitatio prohibita sine auctoris permissione. Non licet pecuniam expetere pro aliquo, quod partem horum verborum continet; liber pro omnibus semper gratuitus erat et manet. Sic rerum summa novatur semper, et inter se mortales mutua vivunt. augescunt aliae gentes, aliae invuntur, inque brevi spatio mutantur saecla animantum et quasi cursores vitai lampada tradiunt. - Lucretius - - de Rerum Natura, II 5-! - PR"#$CE %e &or' presente( here is a trans)ation o* #rie(rich Nietzsche-s aledi!tionsarbeit ./schoo) e0it-thesis12 *or the "andesschule #$orta in 3chu)p*orta .3axony-$nhalt) presente( on 3epte4ber th 15678 It has hitherto )arge)y gone unnotice(, especial)y in anglophone Nietzsche stu(- ies8 $t the ti4e though, the &or' he)pe( to estab)ish the reputation o* the then twenty year o)( Nietzsche and consi(erab)y *aci)itate( his )ater acade4ic career8 9y a)) accounts, it &as a consi(erab)e achie:e4ent, especial)y consi(ering &hen it &as &ri;en: it entai)e( an e0pert 'no&)e(ge, not =ust o* c)assical-phi)o)ogical )iterature, but also o* co(ico)ogy8 %e recent =u(ge4ent by >"+3"+ .2017<!!2< “It is a piece that, ha( Nietzsche ne:er &ri;en another &or(, &ou)( ha:e assure( his p)ace, albeit @uite a s4a)) one, in the history o* Ger4an phi)o)ogyB su4s the 4atter up quite e)o@uently8 +ietzsche )ater continue( his %eognis stu(ies, the sub=ect o* his Crst scho)ar)y artic)e, as a stu(ent at Leip,ig, in 156 D to so4e e0tent a su44ary o* the present &or' D a critical re:ie& in 156!, as &e)) as @uotes in se:eral )e;ers *ro4 1567 on. -
The Mechanical Problems in the Corpus of Aristotle
University of Nebraska - Lincoln DigitalCommons@University of Nebraska - Lincoln Faculty Publications, Classics and Religious Studies Department Classics and Religious Studies July 2007 The Mechanical Problems in the Corpus of Aristotle Thomas Nelson Winter University of Nebraska-Lincoln, [email protected] Follow this and additional works at: https://digitalcommons.unl.edu/classicsfacpub Part of the Classics Commons Winter, Thomas Nelson, "The Mechanical Problems in the Corpus of Aristotle" (2007). Faculty Publications, Classics and Religious Studies Department. 68. https://digitalcommons.unl.edu/classicsfacpub/68 This Article is brought to you for free and open access by the Classics and Religious Studies at DigitalCommons@University of Nebraska - Lincoln. It has been accepted for inclusion in Faculty Publications, Classics and Religious Studies Department by an authorized administrator of DigitalCommons@University of Nebraska - Lincoln. Th e Mechanical Problems in the Corpus of Aristotle Th omas N. Winter Lincoln, Nebraska • 2007 Translator’s Preface. Who Wrote the Mechanical Problems in the Aristotelian Corpus? When I was translating the Mechanical Problems, which I did from the TLG Greek text, I was still in the fundamentalist authorship mode: that it survives in the corpus of Aristotle was then for me prima facie Th is paper will: evidence that Aristotle was the author. And at many places I found in- 1) off er the plainest evidence yet that it is not Aristotle, and — 1 dications that the date of the work was apt for Aristotle. But eventually, 2) name an author. I saw a join in Vitruvius, as in the brief summary below, “Who Wrote Th at it is not Aristotle does not, so far, rest on evidence. -
The Presocratic Philosophers 240
XV The Ionian Revival (a) A few depressing facts If the Eleatics are right, scientists may as well give up their activities: a priori ratiocination reveals that the phenomena which science attempts to understand and explain are figments of our deceptive senses; the scientist has little or nothing to investigate—let him turn to poetry or to gardening. Fortunately few Greeks reasoned in that way; and some of the brightest gems of Greek philosophical science were polished in the generation after Parmenides. Empedocles, Anaxagoras, Philolaus, Leucippus, Democritus, Diogenes of Apollonia, all pursued the old Ionian ideal of historia despite the pressure of the Eleatic logos. And these neo-Ionian systems contain much of interest and much of permanent influence. How far they were genuine answers to the Eleatic metaphysics, and how far they were obstinate attempts to follow an out-moded profession, are questions which I shall later discuss. First, I shall offer a brief and preliminary survey of the main neo-Ionian systems which will, I hope, indicate the connexions between these men and their early models, show the respects in which their new systems must lead to conflict with Elea, and uncover the novelties of thought and argument by which they hoped to win that conflict. This section, however, will concern itself primarily with a few issues of chronology. I begin with Anaxagoras: his dates are remarkably well attested, and we know he lived from 500 to 428 BC (Diogenes Laertius, II.7=59 A 1); between his birth in Clazomenae and his death in Lampsacus he enjoyed a thirty-year sojourn in Athens, during which time he is said to have ‘taught’ Pericles and Euripides (e.g., Diogenes Laertius, II.10; 12=A 1) and to have been condemned on a charge of impiety brought against him by Pericles’ political opponents (e.g., Diogenes Laertius, II. -
Chapter Vii., the Pythagoreans
CHAPTER VII., THE PYTHAGOREANS 138. ThePythagoreanSchool 139. Philolaus 140. PlatoandthePythagoreans 141. The"FragmentsofPhilolaus" 142. TheProblem 143. AristotleontheNumbers 144. TheElementsofNumbers 145. TheNumbersSpatial 146. TheNumbersasMagnitudes 147. TheNumbersandtheElements 148. TheDodecahedron 149. TheSoula"Harmony" 150. TheCentralFire 151. TheAntichthon 152. TheHarmonyoftheSpheres 153. ThingsLikenessesof Numbers 138.ThePythagoreanSchool AFTER losing their supremacy in the Achaiancities, the Pythagoreans concentratedthemselves at Rhegion; but the school foundedthere did not maintainitself for long, andonly Archytas stayed behindinItaly. Philolaos andLysis, the latter of whom hadescapedas a young manfrom the massacre of Kroton, had already found their way to Thebes.1 We know from Plato that Philolaos was there towards the close of the fifthcentury, andLysis was afterwards the teacher of Epameinondas.2 Some of the Pythagoreans, however, were able to return to Italy later. Philolaos certainly did so, and Plato implies that he hadleft Thebes some time before 399 B.C., the year Sokrates was put todeath. Inthe fourthcentury, the chief seat of the school is the Doriancity of Taras, and we findthe Pythagoreans heading the opposition to Dionysios of Syracuse. It is to this period that the activity of Archytas belongs. He was the friendof Plato, andalmost realisedthe ideal of the philosopher king. He ruled Taras for years, andAristoxenos tells us that he was never defeatedinthe fieldof battle.3 He was also the inventor of mathematical mechanics. At the same time, Pythagoreanism hadtaken root inthe East. Lysis remainedat Thebes, where Simmias andKebes hadheardPhilolaos, while the remnant of the 206 Pythagoreanschool of Rhegionsettledat Phleious. Aristoxenos was personally acquaintedwiththe last generation of this school, and mentioned by name Xenophilos the Chalkidian from Thrace, with Phanton, Echekrates, Diokles, and Polymnastos of Phleious. -
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. -
30 Years in the Historiography of Greek Mathematics
Revue d’histoire des math´ematiques, 4 (1998), p. 131–142. NOTES & DEBATS´ MATHEMATICAL RECONSTRUCTIONS OUT, TEXTUAL STUDIES IN: 30 YEARS IN THE HISTORIOGRAPHY OF GREEK MATHEMATICS Ken SAITO (*) History of Greek Mathematics Before and After 1970 Thirty years ago, at the end of the sixties, the history of Greek mathematics was considered an almost closed subject, just like physics was at the turn of the twentieth century.People felt that they had constructed a definitive picture of the essence of Greek mathematics, even though some details remained unclear due to irrecoverable document losses.Critical editions had been established, mainly by Heiberg, while two of the great scholars of the history of Greek mathematics, Tannery and Zeuthen, had built on this material.Then, the standard book [Heath 1921] brought much of this material together.Through his discoveries in Mesopotamian mathematics, Neugebauer was led to think that he had given substance to legends about the Oriental origin of Greek mathematics.Originally published in Dutch in 1950, the book [van der Waerden 1954] reflected scholars’ self-confidence in this period. One may well compare what happened after 1970 in the historiography of Greek mathematics to the developments of physics in the first decades of this century.In some sense the change in the history of Greek mathe- matics was even more dramatic, because no new important material was discovered since 1906, at which time the Method was brought to light by Heiberg.This great interpretative change was mainly due to a shift in scholars’ attitudes. (*) Texte re¸cu le 9 avril 1998. -
Early Greek Ethics
Comp. by: SatchitananthaSivam Stage : Proof ChapterID: 0004760437 Date:25/2/20 Time:13:07:47 Filepath:d:/womat-filecopy/0004760437.3D Dictionary : NOAD_USDictionary 3 OUP UNCORRECTED AUTOPAGE PROOFS – FIRST PROOF, 25/2/2020, SPi Early Greek Ethics Edited by DAVID CONAN WOLFSDORF 1 Comp. by: SatchitananthaSivam Stage : Proof ChapterID: 0004760437 Date:25/2/20 Time:13:07:47 Filepath:d:/womat-filecopy/0004760437.3D Dictionary : NOAD_USDictionary 5 OUP UNCORRECTED AUTOPAGE PROOFS – FIRST PROOF, 25/2/2020, SPi Table of Contents Abbreviations ix Chapter Abstracts and Contributor Information xiii Introduction xxvii David Conan Wolfsdorf PART I INDIVIDUALS AND TEXTS 1. The Pythagorean Acusmata 3 Johan C. Thom 2. Xenophanes on the Ethics and Epistemology of Arrogance 19 Shaul Tor 3. On the Ethical Dimension of Heraclitus’ Thought 37 Mark A. Johnstone 4. Ethics and Natural Philosophy in Empedocles 54 John Palmer 5. The Ethical Life of a Fragment: Three Readings of Protagoras’ Man Measure Statement 74 Tazuko A. van Berkel 6. The Logos of Ethics in Gorgias’ Palamedes, On What is Not, and Helen 110 Kurt Lampe 7. Responsibility Rationalized: Action and Pollution in Antiphon’s Tetralogies 132 Joel E. Mann 8. Ethical and Political Thought in Antiphon’s Truth and Concord 149 Mauro Bonazzi 9. The Ethical Philosophy of the Historical Socrates 169 David Conan Wolfsdorf 10. Prodicus on the Choice of Heracles, Language, and Religion 195 Richard Bett 11. The Ethical Maxims of Democritus of Abdera 211 Monte Ransome Johnson 12. The Sophrosynē of Critias: Aristocratic Ethics after the Thirty Tyrants 243 Alex Gottesman Comp. by: SatchitananthaSivam Stage : Proof ChapterID: 0004760437 Date:25/2/20 Time:13:07:48 Filepath:d:/womat-filecopy/0004760437.3D Dictionary : NOAD_USDictionary 6 OUP UNCORRECTED AUTOPAGE PROOFS – FIRST PROOF, 25/2/2020, SPi vi 13. -
Chapter 9 Zeno and Melissos 1. Zeno's Life and Book
The Reign of the Whirlwind 172 Chapter 9 Zeno and Melissos ----------- 1. Zeno’s life and book Zeno was a younger fellow citizen and close personal friend of Parmenides. Plato says that they were lovers, and although Athenaeos was scandalized by this claim, there is no discoverable reason to doubt it.i They were probably both members of the Pythagorean community in Elea; and Zeno was perhaps as much as twenty-five years younger than Parmenides.ii In that case he was born between 520 and 515.iii In philosophy, Zeno was essentially a “dialectician” (in Aristotle’s sense). He probably wrote just one book, and he wrote it in prose.iv In Plato’s historical fiction, Parmenides and Zeno have brought Zeno’s book to Athens for the first time; and Zeno gives a public reading. He claims that he wrote the book when he was younger, and that it only got published because someone copied it without his knowledge.v Plato certainly wants us to take Zeno’s views in a somewhat jesting spirit. But, with Plato, jesting is a serious business, so it is not clear just how we ought to regard that. (Ever since Aristotle, professional philosophers have been taking Zeno’s paradoxes very seriously. Here we shall be more disposed to agree with Plato. This is only a historical interpretation, not an objective evaluation of the merits of his arguments.) The Reign of the Whirlwind 173 There is actually some evidence that, when away from his writing table, Zeno was no jester. He was probably as much in earnest about political virtue as Parmenides. -
ELECTRYONE ΗΛΕΚΤΡΥΩΝΗ Theognis and the Social Role of Measure
ELECTRYONE ΗΛΕΚΤΡΥΩΝΗ Theognis and the Social Role of Measure. Matus Porubjak, University of Ss. Cyril and Methodius in Trnava ABSTRACT: The paper deals with the beginnings of the Greek ethical discourse in elegies of an archaic lyric poet Theognis of Megara. In the introduction author shortly discusses the question of origin and influence of the Theognidea. Then he gradually follows and interprets the occurrences of the expression “μηδὲν ἄγαν” (Nothing in excess), of the words σωφροσύνη (soundness of mind), σάοφρων (temperate), μέτρον (measure) and μέτριος (moderate), according to the problem of ἀρετή (excellence). On the basis of symposium description in the Theognidea and its functions, author shows the crucial social dimension of researched capabilities. He also tries to show how Theognis grasps the wisdom as a quality that has to be tried for and cared for. In the end author states that for Theognis the excellences such as wisdom, justice, sound mind and proper measure are conditio sine qua non for functioning of all social relations – from erotic relations through symposium to polis itself. KEY-WORDS: Theognis, Solon, temperate, measure, moderate, excellence, justice, wisdom, polis, social behaviour According to the interpretative tradition Socrates followed two Delphic maxims: “γνῶθι σαυτὸν” (Know thyself) and “μηδὲν ἄγαν”(Nothing in excess). These two maxims were so determinative for discourse of ancient philosophy and ethics (including Hellenic) that the whole ancient ethics could be in a simplified way understood as an effort to their reinterpretation and practical application. The aim of this study is to notice some aspects of beginnings of this discourse in elegies of an archaic lyric poet Theognis of Megara, in particular of the maxim “Nothing in excess”. -
The Fragments of the Poem of Parmenides
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by D-Scholarship@Pitt RESTORING PARMENIDES’ POEM: ESSAYS TOWARD A NEW ARRANGEMENT OF THE FRAGMENTS BASED ON A REASSESSMENT OF THE ORIGINAL SOURCES by Christopher John Kurfess B.A., St. John’s College, 1995 M.A., St. John’s College, 1996 M.A., University of Hawai‘i at Mānoa, 2000 Submitted to the Graduate Faculty of The Dietrich School of Arts and Sciences in partial fulfillment of the requirements for the degree of Doctor of Philosophy University of Pittsburgh 2012 UNVERSITY OF PITTSBURGH The Dietrich School of Arts and Sciences This dissertation was presented by Christopher J. Kurfess It was defended on November 8, 2012 and approved by Dr. Andrew M. Miller, Professor, Department of Classics Dr. John Poulakos, Associate Professor, Department of Communication Dr. Mae J. Smethurst, Professor, Department of Classics Dissertation Supervisor: Dr. Edwin D. Floyd, Professor, Department of Classics ii Copyright © by Christopher J. Kurfess 2012 iii RESTORING PARMENIDES’ POEM Christopher J. Kurfess, Ph.D. University of Pittsburgh, 2012 The history of philosophy proper, claimed Hegel, began with the poem of the Presocratic Greek philosopher Parmenides. Today, that poem is extant only in fragmentary form, the various fragments surviving as quotations, translations or paraphrases in the works of better-preserved authors of antiquity. These range from Plato, writing within a century after Parmenides’ death, to the sixth-century C.E. commentator Simplicius of Cilicia, the latest figure known to have had access to the complete poem. Since the Renaissance, students of Parmenides have relied on collections of fragments compiled by classical scholars, and since the turn of the twentieth century, Hermann Diels’ Die Fragmente der Vorsokratiker, through a number of editions, has remained the standard collection for Presocratic material generally and for the arrangement of Parmenides’ fragments in particular.