Chapter Vi., Anaxagoras of Klazomenai
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Cultural Dynamics in Ionia at the End of the Second Millennium BCE
Cultural Dynamics in Ionia at the End of the Second Millennium BCE: New Archaeological Perspectives and Prospects Edited e-Thesis The results, discussions and conclusions presented herein are identical to those in the printed version. This electronic version of the thesis has been edited solely to ensure conformance with copyright legislation and all excisions are noted in the text. The final, awarded and examined version is available for consultation via the University Library. Rik Vaessen PhD The University of Sheffield Department of Archaeology May 2014 Table of Contents List of Figures iii List of Tables vi Acknowledgments vii Abstract ix Chapter 1. Introduction 1 1.1. Setting the stage 1 1.2. Introducing the Ionians 4 1.3. Finding Late Bronze and Early Iron Age Ionia 12 Phokaia 14 Panaztepe-Menemen 16 Smyrna-Bayraklı 17 Limantepe/Klazomenai 19 Erythrai 23 Chios: Emporio and Kato Phana 24 Teos 26 Kolophon 26 Klaros 28 Metropolis-Bademgedi ǧi Tepe 29 Ephesos (Apaša) 31 Ku şadası-Kadıkalesi 33 Samos: Heraion and Pythagorio 33 Miletos 35 The Miletos-area: Assesos and Teichiussa 38 Cine-Tepecik 38 1.4. Outline of the study 39 Chapter 2. Tracing the Ionians in modern scholarship 43 2.1. Introduction 43 2.2. Dorians and Ionians: 1750-1870 43 2.3. The Ionians between 1870 and 1939 54 2.4. The Ionians and their migration become visible … or not? (1945-present) 60 2.5. The current debate in perspective 69 2.6. Final remarks 78 Chapter 3. Theoretical and methodological considerations 79 3.1. Introduction 79 3.2. Theory: some critical remarks 79 3.3. -
Seven Churches of Revelation Turkey
TRAVEL GUIDE SEVEN CHURCHES OF REVELATION TURKEY TURKEY Pergamum Lesbos Thyatira Sardis Izmir Chios Smyrna Philadelphia Samos Ephesus Laodicea Aegean Sea Patmos ASIA Kos 1 Rhodes ARCHEOLOGICAL MAP OF WESTERN TURKEY BULGARIA Sinanköy Manya Mt. NORTH EDİRNE KIRKLARELİ Selimiye Fatih Iron Foundry Mosque UNESCO B L A C K S E A MACEDONIA Yeni Saray Kırklareli Höyük İSTANBUL Herakleia Skotoussa (Byzantium) Krenides Linos (Constantinople) Sirra Philippi Beikos Palatianon Berge Karaevlialtı Menekşe Çatağı Prusias Tauriana Filippoi THRACE Bathonea Küçükyalı Ad hypium Morylos Dikaia Heraion teikhos Achaeology Edessa Neapolis park KOCAELİ Tragilos Antisara Abdera Perinthos Basilica UNESCO Maroneia TEKİRDAĞ (İZMİT) DÜZCE Europos Kavala Doriskos Nicomedia Pella Amphipolis Stryme Işıklar Mt. ALBANIA Allante Lete Bormiskos Thessalonica Argilos THE SEA OF MARMARA SAKARYA MACEDONIANaoussa Apollonia Thassos Ainos (ADAPAZARI) UNESCO Thermes Aegae YALOVA Ceramic Furnaces Selectum Chalastra Strepsa Berea Iznik Lake Nicea Methone Cyzicus Vergina Petralona Samothrace Parion Roman theater Acanthos Zeytinli Ada Apamela Aisa Ouranopolis Hisardere Dasaki Elimia Pydna Barçın Höyük BTHYNIA Galepsos Yenibademli Höyük BURSA UNESCO Antigonia Thyssus Apollonia (Prusa) ÇANAKKALE Manyas Zeytinlik Höyük Arisbe Lake Ulubat Phylace Dion Akrothooi Lake Sane Parthenopolis GÖKCEADA Aktopraklık O.Gazi Külliyesi BİLECİK Asprokampos Kremaste Daskyleion UNESCO Höyük Pythion Neopolis Astyra Sundiken Mts. Herakleum Paşalar Sarhöyük Mount Athos Achmilleion Troy Pessinus Potamia Mt.Olympos -
Hadrian and the Greek East
HADRIAN AND THE GREEK EAST: IMPERIAL POLICY AND COMMUNICATION DISSERTATION Presented in Partial Fulfillment of the Requirements for the Degree Doctor of Philosophy in the Graduate School of the Ohio State University By Demetrios Kritsotakis, B.A, M.A. * * * * * The Ohio State University 2008 Dissertation Committee: Approved by Professor Fritz Graf, Adviser Professor Tom Hawkins ____________________________ Professor Anthony Kaldellis Adviser Greek and Latin Graduate Program Copyright by Demetrios Kritsotakis 2008 ABSTRACT The Roman Emperor Hadrian pursued a policy of unification of the vast Empire. After his accession, he abandoned the expansionist policy of his predecessor Trajan and focused on securing the frontiers of the empire and on maintaining its stability. Of the utmost importance was the further integration and participation in his program of the peoples of the Greek East, especially of the Greek mainland and Asia Minor. Hadrian now invited them to become active members of the empire. By his lengthy travels and benefactions to the people of the region and by the creation of the Panhellenion, Hadrian attempted to create a second center of the Empire. Rome, in the West, was the first center; now a second one, in the East, would draw together the Greek people on both sides of the Aegean Sea. Thus he could accelerate the unification of the empire by focusing on its two most important elements, Romans and Greeks. Hadrian channeled his intentions in a number of ways, including the use of specific iconographical types on the coinage of his reign and religious language and themes in his interactions with the Greeks. In both cases it becomes evident that the Greeks not only understood his messages, but they also reacted in a positive way. -
Read Book Five Texts on the Mediaeval Problem of Universals
FIVE TEXTS ON THE MEDIAEVAL PROBLEM OF UNIVERSALS : PORPHYRY, BOETHIUS, ABELARD, DUNS SCOTUS, OCKHAM PDF, EPUB, EBOOK Paul V. Spade | 320 pages | 15 Mar 1994 | Hackett Publishing Co, Inc | 9780872202498 | English | Cambridge, MA, United States Five Texts on the Mediaeval Problem of Universals : Porphyry, Boethius, Abelard, Duns Scotus, Ockham PDF Book Seller Inventory APC Henry Desmond Paul. Without a doubt, it is the captivating simplicity of this picture, especially as compared with the complexity of the via antiqua picture, that was the major appeal of the Ockhamist approach. Although Abelard — under pressure to conform to an orthodoxy which, as it turned out, he was in any case accused of infringing — might accept a certain element of inexplicable mystery in the doctrine of divine triunity, he elaborated in the different versions of his Theologia a complex theory of sameness and difference, which seems to have been designed to explain in terms of logic how something can be three and yet one. Create a Want Tell us what you're looking for and once a match is found, we'll inform you by e-mail. Scotus was a great champion of St. An Explorative Study. Indeed, it is precisely this possibility that allows me to form the universal mental representation, that is, the universal concept of all particular triangles, regardless of whether they are isosceles or scalene. Hissette, R. Aben Ezra. Abelard would not hesitate, therefore, to say that, for example, it is and was always wrong for a mentally normal adult to commit adultery unless, in some way, he is unaware that it is in this case adultery because he could not fail to know that adultery is divinely forbidden and that, therefore, it shows contempt to God to perform it. -
Proclus on the Elements and the Celestial Bodies
PROCLUS ON THE ELEMENTS AND THE CELESTIAL BODIES PHYSICAL TH UGHT IN LATE NEOPLAT NISM Lucas Siorvanes A Thesis submitted for the Degree of Doctor of Philosophy to the Dept. of History and Philosophy of Science, Science Faculty, University College London. Deuember 1986 - 2 - ABSTRACT Until recently, the period of Late Antiquity had been largely regarded as a sterile age of irrationality and of decline in science. This pioneering work, supported by first-hand study of primary sources, argues that this opinion is profoundly mistaken. It focuses in particular on Proclus, the head of the Platonic School at Athens in the 5th c. AD, and the chief spokesman for the ideas of the dominant school of thought of that time, Neoplatonism. Part I, divided into two Sections, is an introductory guide to Proclus' philosophical and cosmological system, its general principles and its graded ordering of the states of existence. Part II concentrates on his physical theories on the Elements and the celestial bodies, in Sections A and B respectively, with chapters (or sub-sections) on topics including the structure, properties and motion of the Elements; light; space and matter; the composition and motion of the celestial bodies; and the order of planets. The picture that emerges from the study is that much of the Aristotelian physics, so prevalent in Classical Antiquity, was rejected. The concepts which were developed instead included the geometrization of matter, the four-Element composition of the universe, that of self-generated, free motion in space for the heavenly bodies, and that of immanent force or power. -
An Ancient Cave Sanctuary Underneath the Theatre of Miletus
https://publications.dainst.org iDAI.publications ELEKTRONISCHE PUBLIKATIONEN DES DEUTSCHEN ARCHÄOLOGISCHEN INSTITUTS Dies ist ein digitaler Sonderdruck des Beitrags / This is a digital offprint of the article Philipp Niewöhner An Ancient Cave Sanctuary underneath the Theatre of Miletus, Beauty, Mutilation, and Burial of Ancient Sculpture in Late Antiquity, and the History of the Seaward Defences aus / from Archäologischer Anzeiger Ausgabe / Issue 1 • 2016 Seite / Page 67–156 https://publications.dainst.org/journals/aa/1931/5962 • urn:nbn:de:0048-journals.aa-2016-1-p67-156-v5962.3 Verantwortliche Redaktion / Publishing editor Redaktion der Zentrale | Deutsches Archäologisches Institut Weitere Informationen unter / For further information see https://publications.dainst.org/journals/aa ISSN der Online-Ausgabe / ISSN of the online edition 2510-4713 Verlag / Publisher Ernst Wasmuth Verlag GmbH & Co. Tübingen ©2017 Deutsches Archäologisches Institut Deutsches Archäologisches Institut, Zentrale, Podbielskiallee 69–71, 14195 Berlin, Tel: +49 30 187711-0 Email: [email protected] / Web: dainst.org Nutzungsbedingungen: Mit dem Herunterladen erkennen Sie die Nutzungsbedingungen (https://publications.dainst.org/terms-of-use) von iDAI.publications an. Die Nutzung der Inhalte ist ausschließlich privaten Nutzerinnen / Nutzern für den eigenen wissenschaftlichen und sonstigen privaten Gebrauch gestattet. Sämtliche Texte, Bilder und sonstige Inhalte in diesem Dokument unterliegen dem Schutz des Urheberrechts gemäß dem Urheberrechtsgesetz der Bundesrepublik Deutschland. Die Inhalte können von Ihnen nur dann genutzt und vervielfältigt werden, wenn Ihnen dies im Einzelfall durch den Rechteinhaber oder die Schrankenregelungen des Urheberrechts gestattet ist. Jede Art der Nutzung zu gewerblichen Zwecken ist untersagt. Zu den Möglichkeiten einer Lizensierung von Nutzungsrechten wenden Sie sich bitte direkt an die verantwortlichen Herausgeberinnen/Herausgeber der entsprechenden Publikationsorgane oder an die Online-Redaktion des Deutschen Archäologischen Instituts ([email protected]). -
Theon of Alexandria and Hypatia
CREATIVE MATH. 12 (2003), 111 - 115 Theon of Alexandria and Hypatia Michael Lambrou Abstract. In this paper we present the story of the most famous ancient female math- ematician, Hypatia, and her father Theon of Alexandria. The mathematician and philosopher Hypatia flourished in Alexandria from the second part of the 4th century until her violent death incurred by a mob in 415. She was the daughter of Theon of Alexandria, a math- ematician and astronomer, who flourished in Alexandria during the second part of the fourth century. Information on Theon’s life is only brief, coming mainly from a note in the Suda (Suida’s Lexicon, written about 1000 AD) stating that he lived in Alexandria in the times of Theodosius I (who reigned AD 379-395) and taught at the Museum. He is, in fact, the Museum’s last attested member. Descriptions of two eclipses he observed in Alexandria included in his commentary to Ptolemy’s Mathematical Syntaxis (Almagest) and elsewhere have been dated as the eclipses that occurred in AD 364, which is consistent with Suda. Although originality in Theon’s works cannot be claimed, he was certainly immensely influential in the preservation, dissemination and editing of clas- sic texts of previous generations. Indeed, with the exception of Vaticanus Graecus 190 all surviving Greek manuscripts of Euclid’s Elements stem from Theon’s edition. A comparison to Vaticanus Graecus 190 reveals that Theon did not actually change the mathematical content of the Elements except in minor points, but rather re-wrote it in Koini and in a form more suitable for the students he taught (some manuscripts refer to Theon’s sinousiai). -
Hypatia of Alexandria
Hypathia of Alexandria Doina Ionescu Astronomical Institute of the Romanian Academy, E–mail: [email protected] Introduction - Born in 350-355/370; - Lived and learned in Alexandria, Roman Egypt; - The daughter of Theon, the last director of the Museum of Alexandria; - Trained by her father in physical education, mathematics, astronomy, philosophy, arts, literature, the principles of teaching, oratory; - Died in 415, killed by a Christian mob who blamed her for religious turmoil. The Musaeum of Alexandria - Founded in the 3rd century BCE by Ptolemy I Soter or his son Ptolemy II; - Comprised gardens, a room for shared dining, a reading room, lecture halls, meetings rooms and a library; - The Library of Alexandria: an acquisitions department and a cataloguing department; - The Mouseion (“The House of the Muses”) – an institution that brought together the best scholars of the Hellenistic world, a university; - Destruction of the Mouseion and Library of Alexandria: 1. Julius Caesar’s Fire in the Alexandrian War, 48 BC; 2. The attack of Aurelian in the 3rd century AD; 3. The decree of Theophilus in AD 391; 4. The Muslim conquest in AD 642 and thereafter. Theon (b: 335 – d. early 5th century) - Most of the references on him and on Hypathia : Suda, the 10th century Byzantine encyclopedia; - Highly educated scholar, mathematician and astronomer; - A member and possibly the last director of the Alexandrian Museion, on public payroll. - Devoted his scholarship to the study of his predecessors Euclid and Ptolemy; his recensions were designed for students; - Euclid’s Elements; - Thirteen books of Ptolemy’ Almagest ; Handy Tables : The Great Commentary, in five books, and The Little Commentary , in one; - He worked together with scholar and student associates and with his daughter, Hypathia - A treatise “On the Small Astrolabe” ; - On Signs and the examination of Birds and the Croaking of Ravens: two essays on the function of the star Syrius and the influence of the planetary spheres on the Nile; - 364 AD: predicted eclipses of the Sun and Moon in Alexandria. -
A Vector Approach to Ptolemy's Theorem a Vector Approach To
386 MATHEMATICSMAGAZINE In the revolutionof a graphy = f(xl) aboutthe y-axis, we let F(l X2, X3) = f (x + X2 + X) . Using sphericalcoordinates the integralbecomes I jlv/1 + (f/(p))2 p2 sin 0 dpdqds= 47rp2 + ( (p))2p dO O a a Formula(4) follows. For revolution aboutthe x-axis, the surface y2 + y2 + y2 = f2(X) can be parame- terizedusing sphericalcoordinates as x = t, Y = f(t) sin cos , Y2 = f(t) sin sin0, 3 = f(t) cos for a < t < b, 0 < 0 < r, 0 < 0 < 2r. Formula(4) follows aftera straightforward calculationof the determinantin (5). Epilogue Now thatwe have extendedthe resultsto fourdimensions, we mightcon- sider extendingthem furtherto n dimensions.In fact, in higherdimensions there are otherways to revolvegraphs about axes. For example,in four dimensionswe could considerthe doublerotation, where the graphis firstrevolved about the y-axis in three dimensionsand thenthe resultingsurface is revolvedabout the x-axis in four dimen- sions. REFERENCES 1. E. A. Abbott,Flatland, Harperand Row Publishers,NY, 1983. 2. D. Davis, TheNature and Power of Mathematics,Princeton University Press, Princeton,NJ, 1993. 3. J. H. Hubbardand B. B. Hubbard,Vector Calculus, Linear Algebra, and Differential Forms, Prentice Hall, Upper Saddle River,NJ, 1999. 4. G. J. Porter,k-volume in ln and the GeneralizedPythagorean Theorem, Amer. Math. Monthly 103 (1996), 252-256. A VectorApproach to Ptolemy'sTheorem ERWIN JUST NORMAN SCHAUMBERGER Bronx Community College of the City University of New York Bronx, NY 10453 [email protected] Ptolemy'sTheorem [1] statesthat the productof the diagonalsof a cyclic quadrilateral (a quadrilateralthat can be inscribedin a circle) is equalto the sum of the productsof its oppositesides. -
Two Applications of the Generalized Ptolemy Theorem
Two Applications of the Generalized Ptolemy Theorem Shay Gueron 1. INTRODUCTION. The classical theorem of Ptolemy (used for computations by Claudius Ptolemaeus of Alexandria, 2nd century AD, but probably known even be- fore him [7, pp. 123-1241) states that if A, B, C, D are, in this order, four points on the circle 0, then IABI x lCDI + lADl x lBCl = lACl x IBDl. This result in- cludes Pythagoras' Theorem when applied to a rectangle, and yields other important trigonometric identities when applied to special cyclic quadrilaterals A BCD. For ex- ample, if the diagonal AC is a diameter, lACl = 1, iDAC = a, and iBAC = P, then Ptolemy's Theorem gives sin(a + P) = sin a cos /3 + sin /3 cos a. In a more gen- eral context, Ptolemy's Theorem is the inequality lABl x lCDl + lADl x I BCI > lACl x I BDI, where equality occurs if and only if A, B, C, D lie (in this order) on a circle or on a line. This formulation of the theorem can be viewed as the "image under inversion7' of the triangle inequality [ll, p. 891. Ptolemy's Theorem can be generalized to the situation where the points A, B, C, D are replaced by four circles that touch 0. Our goal is to show how the Generalized Ptolemy Theorem can be used to prove two results in plane geometry. The first result, Theorem 1, is a generalization of a theorem that was originally pro- posed in 1938, as a MONTHLYproblem, by the French geometer Victor ThCbault [15]. -
Simplicius and Avicenna on the Nature of Body
Simplicius and Avicenna on the Nature of Body Abraham D. Stone August 18, 1999 1 Introduction Ibn S¯ına, known to the Latin West as Avicenna, was a medieval Aristotelian— one of the greatest of all medieval Aristotelians. He lived in Persia from 980 to 1037, and wrote mostly in Arabic. Simplicius of Cilicia was a sixth cen- tury Neoplatonist; he is known mostly for his commentaries on Aristotle. Both of these men were, broadly speaking, part of the same philosophical tradition: the tradition of Neoplatonic or Neoplatonizing Aristotelianism. There is probably no direct historical connection between them, however, and anyway I will not try to demonstrate one. In this paper I will examine their closely related, but ultimately quite different, accounts of corporeity— of what it is to be a body—and in particular of the essential relationship between corporeity and materiality.1 The problem that both Simplicius and Avicenna face in this respect is as follows. There is a certain genus of substances which forms the subject matter of the science of physics. I will refer to the members of this genus as the physical substances. On the one hand, all and only these physical substances 1A longer and more technical version of this paper will appear, under the title “Simpli- cius and Avicenna on the Essential Corporeity of Material Substance,” in R. Wisnovsky, ed., Aspects of Avicenna (= Princeton Papers: Interdisciplinary Journal of Middle Eastern Studies, vol. 9, no. 2) (Princeton: Markus Wiener, 2000). I want to emphasize at the outset that this paper is about Simplicius and Avicenna, not Aristotle. -
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A ANCIENT GREECE Background Information 9: Astronomy General Introduction: • Astronomy is considered to be the first science • The term astronomy comes from 2 Greek words; astron – ‘star,’ and nemein – ‘to name.’ • Humans observed the stars for thousands of years before the Greeks – but many of the names of stars come directly from the Ancient Greeks because they were the first astronomers to make a systematic catalogue of the stars. Heritage: • The Babylonians believed that the sun, moon, planets and stars were placed there by the gods. They observed that the stars travelled in a certain band of sky – which they divided into 12, recognizable patterns or constellations – now known as the zodiac. They named the constellations after animals / characters they recognized. • The Egyptians used astronomy for timekeeping only. They developed a calendar based on the solar year. • The Greeks combined this knowledge adding a Greek twist to some elements (see signs of the zodiac) and extending it. Historically Significant Individuals / Developments • 6th C BC Greeks realise the earth is a sphere. Made first accurate measurements of earth’s circumference and moon’s size and distance from earth. • 6th C Thales: the earth rests on water • 6th C Anaximander: the earth doesn’t rest on anything • 540-480 BC Heraclitus: universe behaves in a periodic fashion. The sun is a foot wide and is new every day. – 1 – www.ancientgreece.co.uk | © The British Museum 2005 • 500-428 BC Anaxagoras: the mind controls the universe, comets are formed by planets colliding, eclipses are explained by shadows, and the earth is flat and solid, supported in the air.