From Eudoxus to Einstein: a History of Mathematical Astronomy C
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Female Property Ownership and Status in Classical and Hellenistic Sparta
Female Property Ownership and Status in Classical and Hellenistic Sparta Stephen Hodkinson University of Manchester 1. Introduction The image of the liberated Spartiate woman, exempt from (at least some of) the social and behavioral controls which circumscribed the lives of her counterparts in other Greek poleis, has excited or horrified the imagination of commentators both ancient and modern.1 This image of liberation has sometimes carried with it the idea that women in Sparta exercised an unaccustomed influence over both domestic and political affairs.2 The source of that influence is ascribed by certain ancient writers, such as Euripides (Andromache 147-53, 211) and Aristotle (Politics 1269b12-1270a34), to female control over significant amounts of property. The male-centered perspectives of ancient writers, along with the well-known phenomenon of the “Spartan mirage” (the compound of distorted reality and sheer imaginative fiction regarding the character of Spartan society which is reflected in our overwhelmingly non-Spartan sources) mean that we must treat ancient images of women with caution. Nevertheless, ancient perceptions of their position as significant holders of property have been affirmed in recent modern studies.3 The issue at the heart of my paper is to what extent female property-holding really did translate into enhanced status and influence. In Sections 2-4 of this paper I shall approach this question from three main angles. What was the status of female possession of property, and what power did women have directly to manage and make use of their property? What impact did actual or potential ownership of property by Spartiate women have upon their status and influence? And what role did female property-ownership and status, as a collective phenomenon, play within the crisis of Spartiate society? First, however, in view of the inter-disciplinary audience of this volume, it is necessary to a give a brief outline of the historical context of my discussion. -
Names of Botanical Genera Inspired by Mythology
Names of botanical genera inspired by mythology Iliana Ilieva * University of Forestry, Sofia, Bulgaria. GSC Biological and Pharmaceutical Sciences, 2021, 14(03), 008–018 Publication history: Received on 16 January 2021; revised on 15 February 2021; accepted on 17 February 2021 Article DOI: https://doi.org/10.30574/gscbps.2021.14.3.0050 Abstract The present article is a part of the project "Linguistic structure of binomial botanical denominations". It explores the denominations of botanical genera that originate from the names of different mythological characters – deities, heroes as well as some gods’ attributes. The examined names are picked based on “Conspectus of the Bulgarian vascular flora”, Sofia, 2012. The names of the plants are arranged in alphabetical order. Beside each Latin name is indicated its English common name and the family that the particular genus belongs to. The article examines the etymology of each name, adding a short account of the myth based on which the name itself is created. An index of ancient authors at the end of the article includes the writers whose works have been used to clarify the etymology of botanical genera names. Keywords: Botanical genera names; Etymology; Mythology 1. Introduction The present research is a part of the larger project "Linguistic structure of binomial botanical denominations", based on “Conspectus of the Bulgarian vascular flora”, Sofia, 2012 [1]. The article deals with the botanical genera appellations that originate from the names of different mythological figures – deities, heroes as well as some gods’ attributes. According to ICBN (International Code of Botanical Nomenclature), "The name of a genus is a noun in the nominative singular, or a word treated as such, and is written with an initial capital letter (see Art. -
The Project Gutenberg Ebook #35588: <TITLE>
The Project Gutenberg EBook of Scientific Papers by Sir George Howard Darwin, by George Darwin This eBook is for the use of anyone anywhere at no cost and with almost no restrictions whatsoever. You may copy it, give it away or re-use it under the terms of the Project Gutenberg License included with this eBook or online at www.gutenberg.org Title: Scientific Papers by Sir George Howard Darwin Volume V. Supplementary Volume Author: George Darwin Commentator: Francis Darwin E. W. Brown Editor: F. J. M. Stratton J. Jackson Release Date: March 16, 2011 [EBook #35588] Language: English Character set encoding: ISO-8859-1 *** START OF THIS PROJECT GUTENBERG EBOOK SCIENTIFIC PAPERS *** Produced by Andrew D. Hwang, Laura Wisewell, Chuck Greif and the Online Distributed Proofreading Team at http://www.pgdp.net (The original copy of this book was generously made available for scanning by the Department of Mathematics at the University of Glasgow.) transcriber's note The original copy of this book was generously made available for scanning by the Department of Mathematics at the University of Glasgow. Minor typographical corrections and presentational changes have been made without comment. This PDF file is optimized for screen viewing, but may easily be recompiled for printing. Please see the preamble of the LATEX source file for instructions. SCIENTIFIC PAPERS CAMBRIDGE UNIVERSITY PRESS C. F. CLAY, Manager Lon˘n: FETTER LANE, E.C. Edinburgh: 100 PRINCES STREET New York: G. P. PUTNAM'S SONS Bom`y, Calcutta and Madras: MACMILLAN AND CO., Ltd. Toronto: J. M. DENT AND SONS, Ltd. Tokyo: THE MARUZEN-KABUSHIKI-KAISHA All rights reserved SCIENTIFIC PAPERS BY SIR GEORGE HOWARD DARWIN K.C.B., F.R.S. -
1 Peter Mclaughlin the Question of the Authenticity of the Mechanical
Draft: occasionally updated Peter McLaughlin The Question of the Authenticity of the Mechanical Problems Sept. 30, 2013 Until the nineteenth century there was little doubt among scholars as to the authenticity of the Aristotelian Mechanical Problems. There were some doubters among the Renaissance humanists, but theirs were general doubts about the authenticity of a large class of writings, 1 not doubts based on the individual characteristics of this particular work. Some Humanists distrusted any text that hadn’t been passed by the Arabs to the Latin West in the High Middle Ages. However, by the end of the 18th century after Euler and Lagrange, the Mechanical Problems had ceased to be read as part of science and had become the object of history of science; and there the reading of the text becomes quite different from the Renaissance 2 readings. In his Histoire des mathématiques J.E. Montucla (1797) dismisses the Mechanical Problems with such epithets as “entirely false,” “completely ridiculous,” and “puerile.” William Whewell remarks in the History of the Inductive Sciences3 that “in scarcely any one instance are the answers, which Aristotle gives to his questions, of any value.” Neither of them, however, cast doubt on the authenticity of the work. Abraham Kaestner’s Geschichte der Mathematik (1796–1800) mentions doubts – but does not share them.4 Serious doubts about the authenticity of the Mechanical Problems as an individual work seem to be more a consequence of the disciplinary constitution of classical philology, particularly in nineteenth-century Germany. Some time between about 1830 and 1870, the opinion of most philologists shifted from acceptance to denial of the authenticity of the 5 Mechanical Problems. -
UC Davis UC Davis Previously Published Works
UC Davis UC Davis Previously Published Works Title The anthropology of incommensurability Permalink https://escholarship.org/uc/item/3vx742f4 Journal Studies in History and Philosophy of Science, 21(2) ISSN 0039-3681 Author Biagioli, M Publication Date 1990 DOI 10.1016/0039-3681(90)90022-Z Peer reviewed eScholarship.org Powered by the California Digital Library University of California MARIO BIAGIOLP’ THE ANTHROPOLOGY OF INCOMMENSURABILITY I. Incommensurability and Sterility SINCE IT entered the discourse of history and philosophy of science with Feyerabend’s “Explanation, Reduction, and Empiricism” and Kuhn’s The Structure of Scient$c Revolutions, the notion of incommensurability has problematized the debate on processes of theory-choice.’ According to Kuhn, two scientific paradigms competing for the explanation of roughly the same set of natural phenomena may not share a global linguistic common denominator. As a result, the possibility of scientific communication and dialogue cannot be taken for granted and the process of theory choice can no longer be reduced to the simple picture presented, for example, by the logical empiricists. By analyzing the dialogue (or rather the lack of it) between Galileo and the Tuscan Aristotelians during the debate on buoyancy in 1611-1613, I want to argue that incommensurability between competing paradigms is not just an unfortunate problem of linguistic communication, but it plays an important role in the process of scientific change and paradigm-speciation. The breakdown of communication during the -
Moon-Earth-Sun: the Oldest Three-Body Problem
Moon-Earth-Sun: The oldest three-body problem Martin C. Gutzwiller IBM Research Center, Yorktown Heights, New York 10598 The daily motion of the Moon through the sky has many unusual features that a careful observer can discover without the help of instruments. The three different frequencies for the three degrees of freedom have been known very accurately for 3000 years, and the geometric explanation of the Greek astronomers was basically correct. Whereas Kepler’s laws are sufficient for describing the motion of the planets around the Sun, even the most obvious facts about the lunar motion cannot be understood without the gravitational attraction of both the Earth and the Sun. Newton discussed this problem at great length, and with mixed success; it was the only testing ground for his Universal Gravitation. This background for today’s many-body theory is discussed in some detail because all the guiding principles for our understanding can be traced to the earliest developments of astronomy. They are the oldest results of scientific inquiry, and they were the first ones to be confirmed by the great physicist-mathematicians of the 18th century. By a variety of methods, Laplace was able to claim complete agreement of celestial mechanics with the astronomical observations. Lagrange initiated a new trend wherein the mathematical problems of mechanics could all be solved by the same uniform process; canonical transformations eventually won the field. They were used for the first time on a large scale by Delaunay to find the ultimate solution of the lunar problem by perturbing the solution of the two-body Earth-Moon problem. -
Central Balkans Cradle of Aegean Culture
ANTONIJE SHKOKLJEV SLAVE NIKOLOVSKI - KATIN PREHISTORY CENTRAL BALKANS CRADLE OF AEGEAN CULTURE Prehistory - Central Balkans Cradle of Aegean culture By Antonije Shkokljev Slave Nikolovski – Katin Translated from Macedonian to English and edited By Risto Stefov Prehistory - Central Balkans Cradle of Aegean culture Published by: Risto Stefov Publications [email protected] Toronto, Canada All rights reserved. No part of this book may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording or by any information storage and retrieval system without written consent from the author, except for the inclusion of brief and documented quotations in a review. Copyright 2013 by Antonije Shkokljev, Slave Nikolovski – Katin & Risto Stefov e-book edition 2 Index Index........................................................................................................3 COMMON HISTORY AND FUTURE ..................................................5 I - GEOGRAPHICAL CONFIGURATION OF THE BALKANS.........8 II - ARCHAEOLOGICAL DISCOVERIES .........................................10 III - EPISTEMOLOGY OF THE PANNONIAN ONOMASTICS.......11 IV - DEVELOPMENT OF PALEOGRAPHY IN THE BALKANS....33 V – THRACE ........................................................................................37 VI – PREHISTORIC MACEDONIA....................................................41 VII - THESSALY - PREHISTORIC AEOLIA.....................................62 VIII – EPIRUS – PELASGIAN TESPROTIA......................................69 -
Analytical Model for the Tidal Evolution of the Evection 10.1029/2019JE006266 Resonance and the Timing of Resonance Escape Key Points: William R
RESEARCH ARTICLE Analytical Model for the Tidal Evolution of the Evection 10.1029/2019JE006266 Resonance and the Timing of Resonance Escape Key Points: William R. Ward1, Robin M. Canup1 , and Raluca Rufu1 • Capture of the Moon into the evection resonance with the Sun 1Planetary Science Directorate, Southwest Research Institute, Boulder, CO, USA transfers angular momentum from the Earth‐Moon to Earth's heliocentric orbit • Using the Mignard tidal model, we Abstract A high‐angular momentum giant impact with the Earth can produce a Moon with a silicate find that escape from evection isotopic composition nearly identical to that of Earth's mantle, consistent with observations of terrestrial occurs early with minimal angular and lunar rocks. However, such an event requires subsequent angular momentum removal for consistency momentum loss from the Earth‐Moon with the current Earth‐Moon system. The early Moon may have been captured into the evection resonance, • Processes beyond formal evection occurring when the lunar perigee precession period equals 1 year. It has been proposed that after a high‐ resonance are needed to reconcile a angular momentum giant impact, evection removed the angular momentum excess from the Earth‐Moon high‐angular momentum giant impact with the current Earth‐Moon pair and transferred it to Earth's orbit about the Sun. However, prior N‐body integrations suggest this result Supporting Information: depends on the tidal model and chosen tidal parameters. Here, we examine the Moon's encounter with • Supporting Information S1 evection using a complementary analytic description and the Mignard tidal model. While the Moon is in resonance, the lunar longitude of perigee librates, and if tidal evolution excites the libration amplitude Correspondence to: sufficiently, escape from resonance occurs. -
Peter Rear * Jesuit Mathematical Science and the Reconstitution of Experience in the Early Seventeenth Century
PETER REAR * JESUIT MATHEMATICAL SCIENCE AND THE RECONSTITUTION OF EXPERIENCE IN THE EARLY SEVENTEENTH CENTURY I AN ‘EXPERIMENT’ in modern science is often contrasted with simple ‘experience’ by claiming that the former involves the posing of a specific question about nature which its outcome is to answer, whereas the Iatter does nothing more than supply items of fact regarding phenomena, and is not designed to judge matters of theory or interpretation. Thus it has been pointed out that pre-modern, scholastic uses of ‘experience’ in natural philosophy tend to take the form of selective presentation of instances which illustrate conclusions generated by abstract philosophizing, and not the employment of such material as a basis for testing these conclusions. ‘Experiment’ became a characteristic feature of natural philosophy only in the seventeenth century.’ In its broadest terms this picture must be accepted, but enough is left out in the analysis of the nature of ‘experiment’ to obscure understanding of its historical emergence. The science-textbook definition of experiment fails to capture the reality of the new conceptions of the seventeenth century: Robert Hooke’s term ‘experimentum crucis’, so signally adopted by Newton, was certainly intended to pick out an aspect of Bacon’s teaching suitable to the notion of ‘experiment’ as a test of hypotheses, but Boyle’s ‘experimental histories’, also indebted to Bacon, had no immediate purpose beyond the mere collection of facts.’ The ‘experiments’ of the Accademia de1 Cimento were frequently designed to test hypotheses or decide between alternatives,3 but the empirical work of the Accademia’s Florentine forebear, Galileo, seems at *Department of History, Corndl University, McGraw Hall, Ithaca. -
Arxiv:1603.07071V1
Dynamical Evidence for a Late Formation of Saturn’s Moons Matija Cuk´ Carl Sagan Center, SETI Institute, 189 North Bernardo Avenue, Mountain View, CA 94043 [email protected] Luke Dones Southwest Research Institute, Boulder, CO 80302 and David Nesvorn´y Southwest Research Institute, Boulder, CO 80302 Received ; accepted Revised and submitted to The Astrophysical Journal arXiv:1603.07071v1 [astro-ph.EP] 23 Mar 2016 –2– ABSTRACT We explore the past evolution of Saturn’s moons using direct numerical in- tegrations. We find that the past Tethys-Dione 3:2 orbital resonance predicted in standard models likely did not occur, implying that the system is less evolved than previously thought. On the other hand, the orbital inclinations of Tethys, Dione and Rhea suggest that the system did cross the Dione-Rhea 5:3 resonance, which is closely followed by a Tethys-Dione secular resonance. A clear implica- tion is that either the moons are significantly younger than the planet, or that their tidal evolution must be extremely slow (Q > 80, 000). As an extremely slow-evolving system is incompatible with intense tidal heating of Enceladus, we conclude that the moons interior to Titan are not primordial, and we present a plausible scenario for the system’s recent formation. We propose that the mid-sized moons re-accreted from a disk about 100 Myr ago, during which time Titan acquired its significant orbital eccentricity. We speculate that this disk has formed through orbital instability and massive collisions involving the previous generation of Saturn’s mid-sized moons. We identify the solar evection resonance perturbing a pair of mid-sized moons as the most likely trigger of such an insta- bility. -
Democritus (460-370 BC) on Embryology, Anatomy and Pediatrics: the Unknown Aspects of the Greek Atomic Scientist
IJAE Vol. 117, n. 3: 199-204, 2012 ITALIAN JOURNAL OF ANATOMY AND EMBRYOLOGY Research Article: History Of Anatomy and Embryology Democritus (460-370 BC) on Embryology, Anatomy and Pediatrics: the unknown aspects of the Greek atomic scientist Gregory Tsoucalas, Marianna Karamanou*, Antonis A. Kousoulis, George Androutsos History of Medicine Department, Medical School, University of Athens, Greece Submitted January 29, 2012; accepted June 17, 2012 Abstract Democritus was born in Abdera, Thrace, in the 5th century BC. He travelled to the East while being the student of famous philosophers. His philosophical ideas and the establishment of particles, “the atoms”, gave him a leading position in world history. However, his medical knowledge was vast especially in the field of pediatric pharmacology. Numerous are also the reports of his passion for anatomy. Democritus’ views regarding the issue of Human Nature and Anatomy are depicted in a letter he sent to Hippocrates of Kos. He died in old age, possi- bly of infection after having totally neglected his personal hygiene. Keywords Democritus; philosophy; atom; embryology; pediatrics; anatomy. Note: for ancient authors, citations in the text do not include the year of publication of the original writings; the reference list reports the year of publication of the critical edition which was used for this study. Introductory note and brief biography Democritus of Igisistratos or Athinocratos or Damasippos (Precope, 1961; Marcov- ich, 1999) was born in Abdera, Thrace, Greece, around the 80th Olympic Games, 460- 457 BC (Herodotus; Strabo) or earlier (Anaksagoras Klazomenios). He visited Egypt where, in the sanctuary of Memphis, he was initiated to Jewish spirituality by a sage woman named Maria. -
Interstate Alliances of the Fourth-Century BCE Greek World: a Socio-Cultural Perspective
City University of New York (CUNY) CUNY Academic Works All Dissertations, Theses, and Capstone Projects Dissertations, Theses, and Capstone Projects 9-2016 Interstate Alliances of the Fourth-Century BCE Greek World: A Socio-Cultural Perspective Nicholas D. Cross The Graduate Center, City University of New York How does access to this work benefit ou?y Let us know! More information about this work at: https://academicworks.cuny.edu/gc_etds/1479 Discover additional works at: https://academicworks.cuny.edu This work is made publicly available by the City University of New York (CUNY). Contact: [email protected] INTERSTATE ALLIANCES IN THE FOURTH-CENTURY BCE GREEK WORLD: A SOCIO-CULTURAL PERSPECTIVE by Nicholas D. Cross A dissertation submitted to the Graduate Faculty in History in partial fulfillment of the requirements for the degree of Doctor of Philosophy, The City University of New York 2016 © 2016 Nicholas D. Cross All Rights Reserved ii Interstate Alliances in the Fourth-Century BCE Greek World: A Socio-Cultural Perspective by Nicholas D. Cross This manuscript has been read and accepted for the Graduate Faculty in History in satisfaction of the dissertation requirement for the degree of Doctor of Philosophy. ______________ __________________________________________ Date Jennifer Roberts Chair of Examining Committee ______________ __________________________________________ Date Helena Rosenblatt Executive Officer Supervisory Committee Joel Allen Liv Yarrow THE CITY UNIVERSITY OF NEW YORK iii ABSTRACT Interstate Alliances of the Fourth-Century BCE Greek World: A Socio-Cultural Perspective by Nicholas D. Cross Adviser: Professor Jennifer Roberts This dissertation offers a reassessment of interstate alliances (συµµαχία) in the fourth-century BCE Greek world from a socio-cultural perspective.