Notes on the Second Sophistic in Palestine
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Mathematicians
MATHEMATICIANS [MATHEMATICIANS] Authors: Oliver Knill: 2000 Literature: Started from a list of names with birthdates grabbed from mactutor in 2000. Abbe [Abbe] Abbe Ernst (1840-1909) Abel [Abel] Abel Niels Henrik (1802-1829) Norwegian mathematician. Significant contributions to algebra and anal- ysis, in particular the study of groups and series. Famous for proving the insolubility of the quintic equation at the age of 19. AbrahamMax [AbrahamMax] Abraham Max (1875-1922) Ackermann [Ackermann] Ackermann Wilhelm (1896-1962) AdamsFrank [AdamsFrank] Adams J Frank (1930-1989) Adams [Adams] Adams John Couch (1819-1892) Adelard [Adelard] Adelard of Bath (1075-1160) Adler [Adler] Adler August (1863-1923) Adrain [Adrain] Adrain Robert (1775-1843) Aepinus [Aepinus] Aepinus Franz (1724-1802) Agnesi [Agnesi] Agnesi Maria (1718-1799) Ahlfors [Ahlfors] Ahlfors Lars (1907-1996) Finnish mathematician working in complex analysis, was also professor at Harvard from 1946, retiring in 1977. Ahlfors won both the Fields medal in 1936 and the Wolf prize in 1981. Ahmes [Ahmes] Ahmes (1680BC-1620BC) Aida [Aida] Aida Yasuaki (1747-1817) Aiken [Aiken] Aiken Howard (1900-1973) Airy [Airy] Airy George (1801-1892) Aitken [Aitken] Aitken Alec (1895-1967) Ajima [Ajima] Ajima Naonobu (1732-1798) Akhiezer [Akhiezer] Akhiezer Naum Ilich (1901-1980) Albanese [Albanese] Albanese Giacomo (1890-1948) Albert [Albert] Albert of Saxony (1316-1390) AlbertAbraham [AlbertAbraham] Albert A Adrian (1905-1972) Alberti [Alberti] Alberti Leone (1404-1472) Albertus [Albertus] Albertus Magnus -
Exiling Bishops: the Policy of Constantius II
University of Richmond UR Scholarship Repository Classical Studies Faculty Publications Classical Studies 2014 Exiling Bishops: The olicP y of Constantius II Walter Stevenson University of Richmond, [email protected] Follow this and additional works at: http://scholarship.richmond.edu/classicalstudies-faculty- publications Part of the History of Christianity Commons Recommended Citation Stevenson, Walt. "Exiling Bishops: The oP licy of Canstantius II." Dumbarton Oaks Papers 68 (2014): 7-27. This Article is brought to you for free and open access by the Classical Studies at UR Scholarship Repository. It has been accepted for inclusion in Classical Studies Faculty Publications by an authorized administrator of UR Scholarship Repository. For more information, please contact [email protected]. Exiling Bishops: The Policy of Constantius II Walt Stevenson onstantius II was forced by circumstances to all instances in which Constantius II exiled bishops Cmake innovations in the policy that his father and focus on a sympathetic reading of his strategy.2 Constantine had followed in exiling bishops. While Though the sources for this period are muddled and ancient tradition has made the father into a sagacious require extensive sorting, a panoramic view of exile saint and the son into a fanatical demon, recent schol- incidents reveals a pattern in which Constantius moved arship has tended to stress continuity between the two past his father’s precedents to mold a new, intelligent regimes.1 This article will attempt to gather -
Guast, W. (2017). Accepting the Omen: External Reference in Greek Declamation
Guast, W. (2017). Accepting the omen: external reference in Greek declamation. Cambridge Classical Journal, 63, 82-102. https://doi.org/10.1017/S1750270517000069 Peer reviewed version Link to published version (if available): 10.1017/S1750270517000069 Link to publication record in Explore Bristol Research PDF-document This is the author accepted manuscript (AAM). The final published version (version of record) is available online via Cambridge University Press at https://www.cambridge.org/core/journals/cambridge-classical- journal/article/accepting-the-omen-external-referece-in-greek- declamation/8BA4316403B966605EE9736C2311EAB0 . Please refer to any applicable terms of use of the publisher. University of Bristol - Explore Bristol Research General rights This document is made available in accordance with publisher policies. Please cite only the published version using the reference above. Full terms of use are available: http://www.bristol.ac.uk/red/research-policy/pure/user-guides/ebr-terms/ 1 ACCEPTING THE OMEN: EXTERNAL REFERENCE IN GREEK DECLAMATION William Guast University of Bristol, UK* Abstract: Traditional accounts of Greek declamation paint this important imperial genre as a flight from the alleged impotence of Greek cities under Roman rule into a nostalgic fantasy of the autonomy of the Classical past. But there is clear evidence of declaimers using their works to refer to the world outside the fiction, often to the immediate performance context, and above all to themselves. This paper examines examples from Aelius Aristides, Philostratus’ Lives of the Sophists, and Polemo, and shows that such a practice facilitated vigorous and eloquent communication, while also allowing for any external message to be plausibly denied. Introduction Λολλιανὸς δὲ ὁ Ἐφέσιος προὔστη μὲν τοῦ Ἀθήνησι θρόνου πρῶτος, προὔστη δὲ καὶ τοῦ Ἀθηναίων δήμου στρατηγήσας αὐτοῖς τὴν ἐπὶ τῶν ὅπλων, ἡ δὲ ἀρχὴ αὕτη πάλαι μὲν κατέλεγέ τε καὶ ἐξῆγεν ἐς τὰ πολέμια, νυνὶ δὲ τροφῶν ἐπιμελεῖται καὶ σίτου ἀγορᾶς. -
229 the Onomasticon
229 THE ONOMASTICON. By Lieut.-Colonel CONDER, R.E., D.C.L. AMONG the more important authorities on Palestine geography is the Onomasticon of Eusebius, translated into Latin by Jerome. It has been used by me in the Memoirs of the Survey, but no continuous account of its contents, as illustrated by the Survey discoveries, has been publisheo by the Palestine Exploration Fund. The following notes may be useful as indicating its peculiar value. Jerome speaks of the nomenclature of the country in words which still apply sixteen centuries later: "Vocabnla qure vel eadem manent, vel immutata sunt postea, vel aliqua ex parte corrupta." His own acquaintance with Palestine was wide aud minute, and he often adds new details of interest to the Greek text of Eusebius which he renders. It is only necessary here to notice tile places which are fixed by the authors, and not those which were (and usually still are) unknown. The order of the names which follow is that of the Onomas ticon text, following the spelling of the Greek of Eusebius and the Gree],_ alphabet. Abarim, the Moab Mountains. Jerome says : "The name is still pointed out to those ascending from Livias (Tell er Rumeh) to Heshbon, near Mount Peor-retaining the original uame ; the region round being still called Phasga (Pisgah)." The road iu question appears to be that from Tell er Rameh to 'Aytln Mttsa (Ashdoth Pisgah), and thence to Heshbon, passing under N ebo on the north. Jerome calls Abarim "the mountain where Moses died," evidently N ebo itself ; but Peor (Phogor) seems to have been further south. -
Greek Mathematics Recovered in Books 6 and 7 of Clavius’ Geometria Practica
Introduction – Clavius and Geometria Practica Book 6 and Greek approaches to duplication of the cube Book 7 and squaring the circle via the quadratrix Conclusions Greek Mathematics Recovered in Books 6 and 7 of Clavius’ Geometria Practica John B. Little Department of Mathematics and CS College of the Holy Cross June 29, 2018 Greek Mathematics in Clavius Introduction – Clavius and Geometria Practica Book 6 and Greek approaches to duplication of the cube Book 7 and squaring the circle via the quadratrix Conclusions I’ve always been interested in the history of mathematics (in addition to my nominal specialty in algebraic geometry/computational methods/coding theory, etc.) Want to be able to engage with original texts on their own terms – you might recall the talks on Apollonius’s Conics I gave at the last Clavius Group meeting at Holy Cross (two years ago) So, I’ve been taking Greek and Latin language courses in HC’s Classics department The subject for today relates to a Latin-to-English translation project I have recently begun – working with the Geometria Practica of Christopher Clavius, S.J. (1538 - 1612, CE) Greek Mathematics in Clavius Introduction – Clavius and Geometria Practica Book 6 and Greek approaches to duplication of the cube Book 7 and squaring the circle via the quadratrix Conclusions Overview 1 Introduction – Clavius and Geometria Practica 2 Book 6 and Greek approaches to duplication of the cube 3 Book 7 and squaring the circle via the quadratrix 4 Conclusions Greek Mathematics in Clavius Introduction – Clavius and Geometria Practica Book 6 and Greek approaches to duplication of the cube Book 7 and squaring the circle via the quadratrix Conclusions Clavius’ Principal Mathematical Textbooks Euclidis Elementorum, Libri XV (first ed. -
A Mathematician Reads Plutarch: Plato's Criticism of Geometers of His Time
View metadata, citation and similar papers at core.ac.uk brought to you by CORE provided by Scholarship@Claremont Journal of Humanistic Mathematics Volume 7 | Issue 2 July 2017 A Mathematician Reads Plutarch: Plato's Criticism of Geometers of His Time John B. Little College of the Holy Cross Follow this and additional works at: https://scholarship.claremont.edu/jhm Part of the Ancient History, Greek and Roman through Late Antiquity Commons, and the Mathematics Commons Recommended Citation Little, J. B. "A Mathematician Reads Plutarch: Plato's Criticism of Geometers of His Time," Journal of Humanistic Mathematics, Volume 7 Issue 2 (July 2017), pages 269-293. DOI: 10.5642/ jhummath.201702.13 . Available at: https://scholarship.claremont.edu/jhm/vol7/iss2/13 ©2017 by the authors. This work is licensed under a Creative Commons License. JHM is an open access bi-annual journal sponsored by the Claremont Center for the Mathematical Sciences and published by the Claremont Colleges Library | ISSN 2159-8118 | http://scholarship.claremont.edu/jhm/ The editorial staff of JHM works hard to make sure the scholarship disseminated in JHM is accurate and upholds professional ethical guidelines. However the views and opinions expressed in each published manuscript belong exclusively to the individual contributor(s). The publisher and the editors do not endorse or accept responsibility for them. See https://scholarship.claremont.edu/jhm/policies.html for more information. A Mathematician Reads Plutarch: Plato's Criticism of Geometers of His Time Cover Page Footnote This essay originated as an assignment for Professor Thomas Martin's Plutarch seminar at Holy Cross in Fall 2016. -
Arianism and Political Power in the Vandal and Ostrogothic Kingdoms
Western Washington University Western CEDAR WWU Graduate School Collection WWU Graduate and Undergraduate Scholarship 2012 Reign of heretics: Arianism and political power in the Vandal and Ostrogothic kingdoms Christopher J. (Christopher James) Nofziger Western Washington University Follow this and additional works at: https://cedar.wwu.edu/wwuet Part of the History Commons Recommended Citation Nofziger, Christopher J. (Christopher James), "Reign of heretics: Arianism and political power in the Vandal and Ostrogothic kingdoms" (2012). WWU Graduate School Collection. 244. https://cedar.wwu.edu/wwuet/244 This Masters Thesis is brought to you for free and open access by the WWU Graduate and Undergraduate Scholarship at Western CEDAR. It has been accepted for inclusion in WWU Graduate School Collection by an authorized administrator of Western CEDAR. For more information, please contact [email protected]. Reign of Heretics: Arianism and Political Power in the Vandal and Ostrogothic Kingdoms By Christopher James Nofziger Accepted in Partial Completion Of the Requirements for the Degree Master of Arts Kathleen L. Kitto, Dean of the Graduate School Advisory Committee Chair, Dr. Peter Diehl Dr. Amanda Eurich Dr. Sean Murphy MASTER’S THESIS In presenting this thesis in partial fulfillment of the requirements for a master’s degree at Western Washington University, I grant to Western Washington University the non- exclusive royalty-free right to archive, reproduce, and display the thesis in any and all forms, including electronic format, via any digital library mechanisms maintained by WWU. I represent and warrant this is my original work, and does not infringe or violate any rights of others. I warrant that I have obtained written permissions from the owner of any third party copyrighted material included in these files. -
A Short History of Greek Mathematics
Cambridge Library Co ll e C t i o n Books of enduring scholarly value Classics From the Renaissance to the nineteenth century, Latin and Greek were compulsory subjects in almost all European universities, and most early modern scholars published their research and conducted international correspondence in Latin. Latin had continued in use in Western Europe long after the fall of the Roman empire as the lingua franca of the educated classes and of law, diplomacy, religion and university teaching. The flight of Greek scholars to the West after the fall of Constantinople in 1453 gave impetus to the study of ancient Greek literature and the Greek New Testament. Eventually, just as nineteenth-century reforms of university curricula were beginning to erode this ascendancy, developments in textual criticism and linguistic analysis, and new ways of studying ancient societies, especially archaeology, led to renewed enthusiasm for the Classics. This collection offers works of criticism, interpretation and synthesis by the outstanding scholars of the nineteenth century. A Short History of Greek Mathematics James Gow’s Short History of Greek Mathematics (1884) provided the first full account of the subject available in English, and it today remains a clear and thorough guide to early arithmetic and geometry. Beginning with the origins of the numerical system and proceeding through the theorems of Pythagoras, Euclid, Archimedes and many others, the Short History offers in-depth analysis and useful translations of individual texts as well as a broad historical overview of the development of mathematics. Parts I and II concern Greek arithmetic, including the origin of alphabetic numerals and the nomenclature for operations; Part III constitutes a complete history of Greek geometry, from its earliest precursors in Egypt and Babylon through to the innovations of the Ionic, Sophistic, and Academic schools and their followers. -
Mathematics Education
CHAPTER 26 Mathematics Education Nathan Sidoli It is difficult to say much with real certainty about mathematics education in the ancient Greco‐Roman world. When it comes to discussing their education, the mathematicians themselves are all but silent; when discussing the place of mathematics in education in general, philosophical and rhetorical authors are frustratingly vague; and the papyri related to mathematics education have not yet received the same type of overview studies that the papyri related to literary education have (Cribiore 1996, 2001; Morgan 1998). Nevertheless, this chapter provides a survey of what we can say about ancient mathematics education, on the basis of the evidence from the papyrological and literary sources, and guided by analogies from what we now know about literary education. Although it was once commonly held that the mathematical sciences made up a s tandard part of a fairly regular, liberal arts curriculum (Marrou 1948; Clarke 1971), this has been shown to be largely a fanciful characterization (Hadot 2005: 436–443, 252– 253), and in the case of mathematics it is difficult to be certain about precisely what was learned at what age, and to what end. Indeed, the diversity of mathematical practices and cultures that we find represented in the sources gives the impression that mathematical education was even more private and individualized than literary education. In the Greco‐Roman period, the range of activities that was designated by the word mathēmatikē was not identical to those denoted by our understanding of the word mathematics. Although mathematikē ̄ was originally associated with any type of learning, it came to mean those literary disciplines that used mathematical techniques or that investigated mathematical objects—actual or ideal—such as geometry, mechanics, optics, astronomy and astrology, number theory (arithmetike),̄ harmonics, computational methods (logistike ̄ ), spherics (sphairikos), sphere making (sphairopoiïa), sundial theory (gnomonikos̄ ), and so on. -
John Chrysostom, Maruthas and Christian Evangelism in Sasanian Iran Walter Stevenson University of Richmond, [email protected]
University of Richmond UR Scholarship Repository Classical Studies Faculty Publications Classical Studies 2010 John Chrysostom, Maruthas and Christian Evangelism in Sasanian Iran Walter Stevenson University of Richmond, [email protected] Follow this and additional works at: http://scholarship.richmond.edu/classicalstudies-faculty- publications Part of the Ancient History, Greek and Roman through Late Antiquity Commons, and the History of Christianity Commons Recommended Citation Stevenson, Walter. "John Chrysostom, Maruthas and Christian Evangelism in Sasanian Iran." Studia Patristica 47 (2010): 301-07. This Article is brought to you for free and open access by the Classical Studies at UR Scholarship Repository. It has been accepted for inclusion in Classical Studies Faculty Publications by an authorized administrator of UR Scholarship Repository. For more information, please contact [email protected]. John Chrysostom, Maruthas and Christian Evangelism in Sasanian Iran Wa ll STEVENSON, Richmond, Virginia Neither John Chrysostom's efforts to evangeli ze in Sasanid Persia nor the conflict fought between Rome and Persia in 421 have drawn a great deal of attention.' So this paper will attempt to navigate the 20 years from John's initial efforts up to the outbreak of the war without much modern support. Beginning from a series of clues in ancient sources I will try to gather apparently unre lated narratives into a story of how John inadvertently contributed to the event that Kenneth Hoium called 'Pulcheria's Crusade'. Not that this war earned any of the historical significance of the later crusades. Our sources tell of various religious disputes on the border that led to a Roman incursion into Sasanian territory, but the conflict was quickly dropped without any major strategic out come.2 On the other hand, this conflict could be seen as a milestone in the development of the role of exclusive religions in imperial politics. -
PAGAN HISTORIOGRAPHY and the DECLINE of the EMPIRE Wolf
CHAPTER SIX PAGAN HISTORIOGRAPHY AND THE DECLINE OF THE EMPIRE Wolf Liebeschuetz Eunapius and his Writings Eunapius1 was about twenty years—one generation—younger than Ammianus Marcellinus. Like Ammianus he was from the Greek- speaking part of the Empire, having been born at Sardis in 347, or more probably in 348,2 to a leading family of the city. But unlike Ammianus he never as far as we know held imperial office either civil or military. So he lacked the connections with court and army which a career in the imperial service might have gained for him. He was a civic notable pure and simple. Judging by what remains of his writings, he was not particularly interested in either administration or warfare, those two staples of classical historiography. He was how- ever highly educated in Greek rhetoric and philosophy and had a strong interest in medicine. His cousin Melite was married to the Neo-Platonist philosopher Chrysanthius, whom Eunapius revered as a teacher, and almost as a father. Chrysanthius was one in the suc- cession of Neo-Platonist philosophers commemorated by Eunapius in his Lives of the Philosophers and Sophists. Eunapius therefore had close personal links with that rather exclusive group of pagan intellectuals.3 Like them, Eunapius devoted his life to the preservation of the Hellenic tradition. In this respect one might compare him with Libanius, about whom we know so much more. It follows that Eunapius’ two works—the History as well as the Lives of the Philosophers and Sophists—were written from a strongly pagan point of view. -
The Ruin of the Roman Empire
7888888888889 u o u o u o u THE o u Ruin o u OF THE o u Roman o u o u EMPIRE o u o u o u o u jamesj . o’donnell o u o u o u o u o u o u o hjjjjjjjjjjjk This is Ann’s book contents Preface iv Overture 1 part i s theoderic’s world 1. Rome in 500: Looking Backward 47 2. The World That Might Have Been 107 part ii s justinian’s world 3. Being Justinian 177 4. Opportunities Lost 229 5. Wars Worse Than Civil 247 part iii s gregory’s world 6. Learning to Live Again 303 7. Constantinople Deflated: The Debris of Empire 342 8. The Last Consul 364 Epilogue 385 List of Roman Emperors 395 Notes 397 Further Reading 409 Credits and Permissions 411 Index 413 About the Author Other Books by James J. O’ Donnell Credits Cover Copyright About the Publisher preface An American soldier posted in Anbar province during the twilight war over the remains of Saddam’s Mesopotamian kingdom might have been surprised to learn he was defending the westernmost frontiers of the an- cient Persian empire against raiders, smugglers, and worse coming from the eastern reaches of the ancient Roman empire. This painful recycling of history should make him—and us—want to know what unhealable wound, what recurrent pathology, what cause too deep for journalists and politicians to discern draws men and women to their deaths again and again in such a place. The history of Rome, as has often been true in the past, has much to teach us.