The Geography the Geography Gives Us a Complete Version of Latitude and Longitude It Posits a GEOCENTRIC UNIVERSE
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Urban Planning in the Greek Colonies in Sicily and Magna Graecia
Urban Planning in the Greek Colonies in Sicily and Magna Graecia (8th – 6th centuries BCE) An honors thesis for the Department of Classics Olivia E. Hayden Tufts University, 2013 Abstract: Although ancient Greeks were traversing the western Mediterranean as early as the Mycenaean Period, the end of the “Dark Age” saw a surge of Greek colonial activity throughout the Mediterranean. Contemporary cities of the Greek homeland were in the process of growing from small, irregularly planned settlements into organized urban spaces. By contrast, the colonies founded overseas in the 8th and 6th centuries BCE lacked any pre-existing structures or spatial organization, allowing the inhabitants to closely approximate their conceptual ideals. For this reason the Greek colonies in Sicily and Magna Graecia, known for their extensive use of gridded urban planning, exemplified the overarching trajectory of urban planning in this period. Over the course of the 8th to 6th centuries BCE the Greek cities in Sicily and Magna Graecia developed many common features, including the zoning of domestic, religious, and political space and the implementation of a gridded street plan in the domestic sector. Each city, however, had its own peculiarities and experimental design elements. I will argue that the interplay between standardization and idiosyncrasy in each city developed as a result of vying for recognition within this tight-knit network of affluent Sicilian and South Italian cities. This competition both stimulated the widespread adoption of popular ideas and encouraged the continuous initiation of new trends. ii Table of Contents: Abstract. …………………….………………………………………………………………….... ii Table of Contents …………………………………….………………………………….…….... iii 1. Introduction …………………………………………………………………………..……….. 1 2. -
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. -
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. -
The Background and Meaning of the Image of the Beast in Rev. 13:14, 15
Andrews University Digital Commons @ Andrews University Dissertations Graduate Research 2016 The Background and Meaning of the Image of the Beast in Rev. 13:14, 15 Rebekah Yi Liu [email protected] Follow this and additional works at: https://digitalcommons.andrews.edu/dissertations Part of the Biblical Studies Commons Recommended Citation Liu, Rebekah Yi, "The Background and Meaning of the Image of the Beast in Rev. 13:14, 15" (2016). Dissertations. 1602. https://digitalcommons.andrews.edu/dissertations/1602 This Dissertation is brought to you for free and open access by the Graduate Research at Digital Commons @ Andrews University. It has been accepted for inclusion in Dissertations by an authorized administrator of Digital Commons @ Andrews University. For more information, please contact [email protected]. ABSTRACT THE BACKGROUNDS AND MEANING OF THE IMAGE OF THE BEAST IN REV 13:14, 15 by Rebekah Yi Liu Adviser: Dr. Jon Paulien ABSTRACT OF GRADUATE STDUENT RESEARCH Dissertation Andrews University Seventh-day Adventist Theological Seminary Title: THE BACKGROUNDS AND MEANING OF THE IMAGE OF THE BEAST IN REV 13:14, 15 Name of researcher: Rebekah Yi Liu Name and degree of faculty adviser: Jon Paulien, Ph.D. Date Completed: May 2016 Problem This dissertation investigates the first century Greco-Roman cultural backgrounds and the literary context of the motif of the image of the beast in Rev 13:14, 15, in order to answer the problem of the author’s intended meaning of the image of the beast to his first century Greco-Roman readers. Method There are six steps necessary to accomplish the task of this dissertation. -
Mediterranean Divine Vintage Turkey & Greece
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 Neapolis Dikaia Heraion teikhos Achaeology Edessa park KOCAELİ Tragilos Antisara Perinthos Basilica UNESCO Abdera Maroneia TEKİRDAĞ (İZMİT) DÜZCE Europos Kavala Doriskos Nicomedia Pella Amphipolis Stryme Işıklar Mt. ALBANIA JOINAllante 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 Elimia PydnaMEDITERRANEAN Barçın Höyük BTHYNIA Dasaki 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 Torone Hephaistia Dorylaeum BOZCAADA Sigeion Kenchreai Omphatium Gonnus Skione Limnos MYSIA Uludag ESKİŞEHİR Eritium DIVINE VINTAGE Derecik Basilica Sidari Oxynia Myrina Kaz Mt. Passaron Soufli Troas Kebrene Skepsis UNESCO Meliboea Cassiope Gure bath BALIKESİR Dikilitaş Kanlıtaş Höyük Aiginion Neandra Karacahisar Castle Meteora Antandros Adramyttium Corfu UNESCO Larissa Lamponeia Dodoni Theopetra Gülpinar Pioniai Kulluoba Hamaxitos Seyitömer Höyük Keçi çayırı Syvota KÜTAHYA Grava Polimedion Assos Gerdekkaya Assos Mt.Pelion A E GTURKEY E A N S E A &Pyrrha GREECEMadra Mt. (Cotiaeum) Kumbet Lefkimi Theudoria Pherae Mithymna Midas City Ellina EPIRUS Passandra Perperene Lolkos/Gorytsa Antissa Bahses Mt. -
First Missionary Journey & the Jerusalem Conference
The Apostle Paul, Servant of Christ Boiling Springs, NC Overview Study Guide 704 966-6845 Unit II, Chapter 5 [email protected] “The First Missionary Journey” © All rights reserved by Lorin L Cranford Quick Links to Study 5.0 First Missionary Journey 5.0.1 Establishing Christian Congregations 5.0.2 Discipling Christian Congregations, Acts 14:21-28 5.0.1.1 Work in Seleucia, Acts 13:4 Summary: Gal. 3:1-5, 4:12-20 5.0.1.2 Work in Cyprus, Acts 13:5-12 5.1. Jerusalem Council, Acts 15:1-36, Gal. 2:1-10 5.0.1.3 Work in Perga, Acts 13:13 5.1.1 Problems at Antioch, Acts 15:1-3 5.0.1.4 Work in Pisidian Antioch, Acts 13:14-52 5.1.2 Victory in Jerusalem, Acts 15:4-29, Gal. 2:1-10 5.0.1.5 Work in Iconium, Acts 14:1-7 5.1.3 Ministry in Antioch, Acts 15:30-35, Gal. 2:11-14 5.0.1.6 Work in Lystra, Acts 14:8-20 5.0.1.7 Work in Derbe, Acts 14:21 Conclusion Introduction After Paul and Barnabas arrived back at Antioch, along with John Mark, some time passed before the next major event that would change Christianity forever. The breakthrough to the non-Jewish world with the Gos- pel had largely started at Antioch. And now this group of believers would launch a movement toward Gentiles that would revolutionize Christianity. This event was the beginning of the first missionary journey of Paul and Barnabas. -
Earliest Economic Exploitation of Chicken Outside East Asia: Evidence from the Hellenistic Southern Levant
Earliest economic exploitation of chicken outside East Asia: Evidence from the Hellenistic Southern Levant Lee Perry-Gal1, Adi Erlich, Ayelet Gilboa, and Guy Bar-Oz Zinman Institute of Archaeology, University of Haifa, Mount Carmel, Haifa 3498838, Israel Edited by Melinda A. Zeder, National Museum of Natural History, Santa Fe, NM, and approved June 5, 2015 (received for review March 4, 2015) Chicken (Gallus gallus domesticus) is today one of the most wide- range of the jungle fowl, chicken remains were recorded at a few spread domesticated species and is a main source of protein in the second millennium B.C.E. sites, and it is commonly assumed that human diet. However, for thousands of years exploitation of domestication occurred there independently (1, 14, 15, 18, 19). chickens was confined to symbolic and social domains such as The second phase took place in the third–second millennia B.C.E. cockfighting. The question of when and where chickens were first and includes the dispersal of the chicken out of its natural used for economic purposes remains unresolved. The results of our distribution range to West Asia (Fig. 1, phase B). The earliest faunal analysis demonstrate that the Hellenistic (fourth–second chicken remains in the Near East were retrieved in Iran, centuries B.C.E.) site of Maresha, Israel, is the earliest site known Anatolia, and Syria and dated to the third millennium B.C.E. or today where economic exploitation of chickens was widely prac- slightly earlier (20). In Egypt, the oldest known chicken remains ticed. We base our claim on the exceptionally high frequency of are possibly even earlier (16). -
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. -
Gospel to the Gentiles Acts 13-18:22 Wednesday, April 22
From Easter to Pentecost and Beyond: A Church-Wide Study in the Book of Acts Clarkesville First United Methodist Church April 8 — May 12, 2020 Brian Shelton, Teacher Week 3 Gospel to the Gentiles Acts 13-18:22 Wednesday, April 22 Introduction In our study of the early church in Acts, the gospel has continually come to the Jews and has been introduced to God-fearers—gentiles who worship the Jewish God. Now, in full force this week, we see the gospel coming to gentiles. Paul, along with Barnabas and Silas, continue to go preach in synagogues of the cities where they land. While some Jews see that Jesus is their Messiah and believe in the gospel, just as many seem to be angered by such preaching. In a pattern, Paul is rejected in the synagogue of the city so he takes the message freely to gentiles in that locale. Watch for this pattern. Persecution against him begins for what is perceived as blasphemy. The cities on these journeys can run together, so two maps are provided; your bible might hold similar maps. Note that references to Asia Minor or Anatolia refer to the land mass that is the modern country of Turkey. At the same time, many Jewish Christians believe strongly that all gentile converts have to be circumcised, symbolic of their belief that gentile Christians must practice Judaism as Christians. The most rigid are called Judaizers, and Paul specifically addresses their legalism in the book of Galatians. Watch for this tension in Paul’s missionary ministries. The Jerusalem Council comprised of apostles and elders will settle this for early Christianity in chapter 15, as they realized and declared that the gospel is free of external requirements, legal qualification, or additional steps beyond believing in the work of the cross. -
MINEOLA BIBLE INSTITUTE and SEMINARY Philosophy II Radically
MINEOLA BIBLE INSTITUTE AND SEMINARY Page | 1 Philosophy II Radically, Biblical, Apostolic, Christianity Bishop D.R. Vestal, PhD Larry L Yates, ThD, DMin “Excellence in Apostolic Education since 1991” 1 Copyright © 2019 Mineola Bible Institute Page | 2 All Rights Reserved This lesson material may not be used in any manner for reproduction in any language or use without the written permission of Mineola Bible Institute. 2 Contents Introduction ................................................................................................................................. 7 Alexander the Great (356-323 B.C.) ........................................................................................... 8 Philip II of Macedonia (382-336 B.C.) ....................................................................................... 12 Page | 3 “Olympias the mother of Alexander was an evil woman. .......................................... 13 Philip II (of Macedonia) (382-336 BC) .............................................................................. 13 Aristotle (384-322 BC) ............................................................................................................... 15 Works .................................................................................................................................... 16 Methods ............................................................................................................................... 17 Doctrines ............................................................................................................................ -
Coverpage Final
Symbols and Objects on the Sealings from Kedesh A DISSERTATION SUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSITY OF MINNESOTA BY Paul Lesperance IN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHY Professor Andrea Berlin August 2010 © Paul Lesperance, 2010 Acknowledgements I have benefitted greatly from the aid and support of many people and organizations during the writing of this dissertation. I would especially like to thank my advisor, Professor Andrea Berlin, for all her help and advice at all stages of the production process as well as for suggesting the topic to me in the first place. I would also like to thank all the members of my dissertation committee (Professor Susan Herbert of the University of Michigan, as well as Professors Philip Sellew and Nita Krevans of the University of Minnesota) for all their help and support. During the writing process, I benefitted greatly from a George A. Barton fellowship to the W. F. Albright Institute of Archaeological Research in Jerusalem in the fall of 2009. I would like to thank the fellowship committee for giving me such a wonderful and productive opportunity that helped me greatly in this endeavour as well as the staff of the Albright for their aid and support. I would also like to thank both Dr. Donald Ariel of the Israel Antiquities Authority for his aid in getting access to the material and his valuable advice in ways of looking at it and Peter Stone of the University of Cincinnati whose discussions on his work on the pottery from Kedesh helped to illuminate various curious aspects of my own. -
Hermes in the Academy WT.Indd
In 1999, an innovative chair and expertise center was created at the Faculty wouter j. hanegraaff and joyce pijnenburg (eds.) of Humanities of the University of Amsterdam, focused on the history of Western esotericism from the Renaissance to the present. The label “Western esotericism” refers here to a complex of historical currents such as, notably, the Hermetic philosophy of the Renaissance, mystical, magical, alchemical and astrological currents, Christian kabbalah, Paracelsianism, Rosicrucianism, Christian theosophy, and the many occultist and related esoteric currents that developed in their wake during the 19th and the 20th centuries. This complex of “alternative” religious currents is studied from a critical historical and interdisciplinary perspective, with the intention of studying the roles that they have played in the history of Western culture. In the past ten years, the chair for History of Hermetic Philosophy and Related Currents has succeeded in establishing itself as the most important center for study and teaching in this domain, and has strongly contributed to the establishment of Western esotericism as a recognized academic field of research. This volume is published at the occasion of the 10th anniversary. Hermes in the Academy in the Hermes It contains a history of the creation and development of the chair, followed by articles on aspects of Western esotericism by the previous and current staff members, contributions by students and Ph.D. students about the study program, and reflections by international top specialists about the field of research and its academic development. Prof. Dr. Wouter J. Hanegraaff is Professor of History of Hermetic Philosophy and Related Currents at the University of Amsterdam.