The Second Revival of Astronomy in the Tenth Century and the Establishment of Astronomy As an Element of Encyclopedic Education
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A Philosophical and Historical Analysis of Cosmology from Copernicus to Newton
University of Central Florida STARS Electronic Theses and Dissertations, 2004-2019 2017 Scientific transformations: a philosophical and historical analysis of cosmology from Copernicus to Newton Manuel-Albert Castillo University of Central Florida Part of the History of Science, Technology, and Medicine Commons Find similar works at: https://stars.library.ucf.edu/etd University of Central Florida Libraries http://library.ucf.edu This Masters Thesis (Open Access) is brought to you for free and open access by STARS. It has been accepted for inclusion in Electronic Theses and Dissertations, 2004-2019 by an authorized administrator of STARS. For more information, please contact [email protected]. STARS Citation Castillo, Manuel-Albert, "Scientific transformations: a philosophical and historical analysis of cosmology from Copernicus to Newton" (2017). Electronic Theses and Dissertations, 2004-2019. 5694. https://stars.library.ucf.edu/etd/5694 SCIENTIFIC TRANSFORMATIONS: A PHILOSOPHICAL AND HISTORICAL ANALYSIS OF COSMOLOGY FROM COPERNICUS TO NEWTON by MANUEL-ALBERT F. CASTILLO A.A., Valencia College, 2013 B.A., University of Central Florida, 2015 A thesis submitted in partial fulfillment of the requirements for the degree of Master of Arts in the department of Interdisciplinary Studies in the College of Graduate Studies at the University of Central Florida Orlando, Florida Fall Term 2017 Major Professor: Donald E. Jones ©2017 Manuel-Albert F. Castillo ii ABSTRACT The purpose of this thesis is to show a transformation around the scientific revolution from the sixteenth to seventeenth centuries against a Whig approach in which it still lingers in the history of science. I find the transformations of modern science through the cosmological models of Nicholas Copernicus, Johannes Kepler, Galileo Galilei and Isaac Newton. -
What Did Shakespeare Know About Copernicanism?
DOI: 10.2478/v10319-012-0031-x WHAT DID SHAKESPEARE KNOW ABOUT COPERNICANISM? ALAN S. WEBER Weill Cornell Medical College–Qatar Abstract: This contribution examines Shakespeare’s knowledge of the cosmological theories of Nicolaus Copernicus (1473-1543) as well as recent claims that Shakespeare possessed specialized knowledge of technical astronomy. Keywords: Shakespeare, William; Copernicus, Nicolaus; renaissance astronomy 1. Introduction Although some of his near contemporaries lamented the coming of “The New Philosophy,” Shakespeare never made unambiguous or direct reference to the heliocentric theories of Nicolaus Copernicus (1473-1543) in his drama or poetry. Peter Usher, however, has recently argued in two books Hamlet’s Universe (2006) and Shakespeare and the Dawn of Modern Science (2010) that Hamlet is an elaborate allegory of Copernicanism, which in addition heralds pre-Galilean telescopic observations carried out by Thomas Digges. Although many of Usher’s arguments are excessively elaborate and speculative, he raises several interesting questions. Just why did Shakespeare, for example, choose the names of Rosenskrantz and Guildenstern for Hamlet’s petard-hoisted companions, two historical relatives of Tycho Brahe (the foremost astronomer during Shakespeare’s floruit)? What was Shakespeare’s relationship to the spread of Copernican cosmology in late Elizabethan England? Was he impacted by such Copernican-related currents of cosmological thought as the atomism of Thomas Harriot and Nicholas Hill, the Neoplatonism of Kepler, and -
Orbis Terrarum DATE: AD 20 AUTHOR: Marcus Vipsanius Agrippa
Orbis Terrarum #118 TITLE: Orbis Terrarum DATE: A.D. 20 AUTHOR: Marcus Vipsanius Agrippa DESCRIPTION: The profound difference between the Roman and the Greek mind is illustrated with peculiar clarity in their maps. The Romans were indifferent to mathematical geography, with its system of latitudes and longitudes, its astronomical measurements, and its problem of projections. What they wanted was a practical map to be used for military and administrative purposes. Disregarding the elaborate projections of the Greeks, they reverted to the old disk map of the Ionian geographers as being better adapted to their purposes. Within this round frame the Roman cartographers placed the Orbis Terrarum, the circuit of the world. There are only scanty records of Roman maps of the Republic. The earliest of which we hear, the Sardinia map of 174 B.C., clearly had a strong pictorial element. But there is some evidence that, as we should expect from a land-based and, at that time, well advanced agricultural people, subsequent mapping development before Julius Caesar was dominated by land survey; the earliest recorded Roman survey map is as early as 167-164 B.C. If land survey did play such an important part, then these plans, being based on centuriation requirements and therefore square or rectangular, may have influenced the shape of smaller-scale maps. This shape was also one that suited the Roman habit of placing a large map on a wall of a temple or colonnade. Varro (116-27 B.C.) in his De re rustica, published in 37 B.C., introduces the speakers meeting at the temple of Mother Earth [Tellus] as they look at Italiam pictam [Italy painted]. -
Aryabhatiya with English Commentary
ARYABHATIYA OF ARYABHATA Critically edited with Introduction, English Translation. Notes, Comments and Indexes By KRIPA SHANKAR SHUKLA Deptt. of Mathematics and Astronomy University of Lucknow in collaboration with K. V. SARMA Studies V. V. B. Institute of Sanskrit and Indological Panjab University INDIAN NATIONAL SCIENCE ACADEMY NEW DELHI 1 Published for THE NATIONAL COMMISSION FOR THE COMPILATION OF HISTORY OF SCIENCES IN INDIA by The Indian National Science Academy Bahadur Shah Zafar Marg, New Delhi— © Indian National Science Academy 1976 Rs. 21.50 (in India) $ 7.00 ; £ 2.75 (outside India) EDITORIAL COMMITTEE Chairman : F. C. Auluck Secretary : B. V. Subbarayappa Member : R. S. Sharma Editors : K. S. Shukla and K. V. Sarma Printed in India At the Vishveshvaranand Vedic Research Institute Press Sadhu Ashram, Hosbiarpur (Pb.) CONTENTS Page FOREWORD iii INTRODUCTION xvii 1. Aryabhata— The author xvii 2. His place xvii 1. Kusumapura xvii 2. Asmaka xix 3. His time xix 4. His pupils xxii 5. Aryabhata's works xxiii 6. The Aryabhatiya xxiii 1. Its contents xxiii 2. A collection of two compositions xxv 3. A work of the Brahma school xxvi 4. Its notable features xxvii 1. The alphabetical system of numeral notation xxvii 2. Circumference-diameter ratio, viz., tz xxviii table of sine-differences xxviii . 3. The 4. Formula for sin 0, when 6>rc/2 xxviii 5. Solution of indeterminate equations xxviii 6. Theory of the Earth's rotation xxix 7. The astronomical parameters xxix 8. Time and divisions of time xxix 9. Theory of planetary motion xxxi - 10. Innovations in planetary computation xxxiii 11. -
Kamala¯Kara Commentary on the Work, Called Tattvavivekodāharan
K related to the Siddhānta-Tattvaviveka, one a regular Kamala¯kara commentary on the work, called Tattvavivekodāharan. a, and the other a supplement to that work, called Śes.āvasanā, in which he supplied elucidations and new K. V. SARMA material for a proper understanding of his main work. He held the Sūryasiddhānta in great esteem and also wrote a Kamalākara was one of the most erudite and forward- commentary on that work. looking Indian astronomers who flourished in Varanasi Kamalākara was a critic of Bhāskara and his during the seventeenth century. Belonging to Mahar- Siddhāntaśiroman. i, and an arch-rival of Munīśvara, a ashtrian stock, and born in about 1610, Kamalākara close follower of Bhāskara. This rivalry erupted into came from a long unbroken line of astronomers, bitter critiques on the astronomical front. Thus Ranga- originally settled at the village of Godā on the northern nātha, younger brother of Kamalākara, wrote, at the . banks of the river Godāvarī. Towards AD 1500, the insistence of the latter, a critique on Munīśvara’s Bhangī family migrated to Varanasi and came to be regarded as method (winding method) of true planets, entitled . reputed astronomers and astrologers. Kamalākara Bhangī-vibhangī (Defacement of the Bhangi), to which . studied traditional Hindu astronomy under his elder Munīśvara replied with a Khand.ana (Counter). Munīś- brother Divākara, but extended the range of his studies vara attacked the theory of precession advocated by to Islamic astronomy, particularly to the school of Kamalākara, and Ranganātha refuted the criticisms of his Ulugh Beg of Samarkand. He also studied Greek brother in his Loha-gola-khan. -
A Study on the Encoding Systems in Vedic Era and Modern Era 1K
International Journal of Pure and Applied Mathematics Volume 114 No. 7 2017, 425-433 ISSN: 1311-8080 (printed version); ISSN: 1314-3395 (on-line version) url: http://www.ijpam.eu Special Issue ijpam.eu A Study on the Encoding Systems in Vedic Era and Modern Era 1K. Lakshmi Priya and 2R. Parameswaran 1Department of Mathematics, School of Arts and Sciences, Amrita University, Kochi. [email protected] 2Department of Mathematics, School of Arts and Sciences, Amrita University, Kochi. [email protected] Abstract Encoding is the action of transferring a message in to codes. In this paper I present a study on the encoding systems in vedic era and modern era. The Sanskrit verses written in the vedic era are not just the praises of the Gods they are also numerical codes. In ancient India there were three means of recording numerals in Sanskrit words which are Katapayadi system, Bhutasamkhya system and Aryabhata numeration. These systems were used by many ancient mathematicians in India. In this paper the Katapayadi system used in vedic times is applied to modern ciphers– Vigenere Cipher and Affine Cipher. Key Words:Katapayadi system, vigenere cipher, affine cipher. 425 International Journal of Pure and Applied Mathematics Special Issue 1. Introduction Encoding is the process of transforming messages into an arrangement required for data transmission, storage and compression/decompression. In cryptography, encryption is the method of transforming information using an algorithm to make it illegible to anyone except those owning special information, usually called as a key. In vedic era, Sanskrit is the language used. It is supposed to be the ancient language, from which most of the modern dialects are developed. -
Mechanical Miracles: Automata in Ancient Greek Religion
Mechanical Miracles: Automata in Ancient Greek Religion Tatiana Bur A thesis submitted in fulfillment of the requirements for the degree of Master of Philosophy Faculty of Arts, University of Sydney Supervisor: Professor Eric Csapo March, 2016 Statement of Originality This is to certify that to the best of my knowledge, the content of this thesis is my own work. This thesis has not been submitted for any degree or other purposes. I certify that the intellectual content of this thesis is the product of my own work and that all the assistance received in preparing this thesis and sources have been acknowledged. Tatiana Bur, March 2016. Table of Contents ACKNOWLEDGMENTS ....................................................................................................... 1 A NOTE TO THE READER ................................................................................................... 2 INTRODUCTION ................................................................................................................ 3 PART I: THINKING ABOUT AUTOMATION .......................................................................... 9 CHAPTER 1/ ELIMINATING THE BLOCAGE: ANCIENT AUTOMATA IN MODERN SCHOLARSHIP ................. 10 CHAPTER 2/ INVENTING AUTOMATION: AUTOMATA IN THE ANCIENT GREEK IMAGINATION ................. 24 PART II: AUTOMATA IN CONTEXT ................................................................................... 59 CHAPTER 3/ PROCESSIONAL AUTOMATA ................................................................................ -
OF Alexandria
Philo OF Alexandria JEAN DANIÉLOU Translated by James G. Colbert C Philo of Alexandria James Clarke & Co and The Lutterworth Press Click on the links above to see our full catalogue for more excellent titles in Hardback, Paperback, PDF and Epub! Philo of Alexandria ISBN: 978 0 227 90259 2 C L Would you like to join our Mailing List? Click here! Philo of Alexandria Jean Daniélou Translated by James G. Colbert C James Clarke & Co To María James Clarke & Co P.O. Box 60 Cambridge CB1 2NT United Kingdom www.jamesclarke.co [email protected] ISBN: 978 0 227 17449 4 British Library Cataloguing in Publication Data A record is available from the British Library First published by James Clarke & Co, 2014 Copyright © Wipf and Stock Publishers, 2014 Published by arrangement with Cascade Books Originally published in French as Philon d’Alexandrie by Editions du Cerf. Translation of Jean Daniélou, Philon d’Alexandrie, Paris: Librairie Arthème Fayard, 1958. All rights reserved. No part of this edition may be reproduced, stored electronically or in any retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without prior written permission from the Publisher ([email protected]). Contents Translator’s Preface | ix Author’s Foreword | xv 1 Life of Philo | 1 2 Philo and His Time | 25 3 The Bible at Alexandria | 60 4 Philo’s Exegesis | 90 5 Philo’s Theology | 111 6 Philo’s Spirituality | 147 7 Philo and the New Testament | 163 Bibliography | 179 Translator’s Preface rwin Goodenough remarks, “There is no important writer of Eantiquity who has been so little studied as Philo Judaeus . -
Astronomy As a Key to the Architectural Projects of the Ancient Past
The role of the sun in the Pantheon’s design and meaning Abstract Despite being one of the most recognisable buildings from ancient Rome, the Pantheon is poorly understood. While its architecture has been well studied, its function remains uncertain. This paper argues that both the design and the meaning of the Pantheon are in fact dependent upon an understanding of the role of the sun in the building, and of the apotheosised emperor in Roman thought. Supporting evidence is drawn not only from the instruments of time in the form of the roofed spherical sundial, but also from other Imperial monuments, notably Nero’s Domus Aurea and Augustus’s complex of structures on the Campus Martius – his Ara Pacis, the ‘Horologium Augusti’, and his Mausoleum. Hadrian’s Mausoleum and potentially part of his Villa at Tivoli are drawn into this argument as correlatives. Ultimately, it is proposed that sun and time were linked architecturally into cosmological signposts for those Romans who could read such things. Keywords Pantheon, sun, Mausoloeum of Hadrian, Domus Aurea, ‘Horologium Augusti’, Ara Pacis 1. Introduction The Pantheon is the best preserved architectural monument of the Roman period in Rome (fig. 1). Originally built by Agrippa around 27 BC under Augustus’s rule, it was destroyed by fire under Domitian, then rebuilt and finally completed in its present form during Hadrian’s reign, in ca. AD 128 (Hetland 2007)1. There is a great deal of uncertainty about the original Agrippan design; excavations, however, have suggested that this building was already circular (although probably open to the sky) 1 and orientated in the same direction (Thomas 1997, La Rocca 1999, Wilson Jones 2003: 180–82). -
Pyrrhonian Skepticism in Diogenes Laertius
SAPERE Scripta Antiquitatis Posterioris ad Ethicam REligionemque pertinentia Schriften der späteren Antike zu ethischen und religiösen Fragen Herausgegeben von Rainer Hirsch-Luipold, Reinhard Feldmeier und Heinz-Günther Nesselrath unter der Mitarbeit von Natalia Pedrique und Andrea Villani Band XXV Pyrrhonian Skepticism in Diogenes Laertius Introduction, Text, Translation, Commentary and Interpretative Essays by Katja Maria Vogt, Richard Bett, Lorenzo Corti, Tiziano Dorandi, Christiana M. M. Olfert, Elisabeth Scharffenberger, David Sedley, and James Warren edited by Katja Maria Vogt Mohr Siebeck SAPERE is a Project of the Göttingen Academy of Sciences and Humanities within the programme of the Union of the German Academies funded by the Federal Republic of Germany and the State of Lower Saxony. e-ISBN PDF 978-3-16-156430-7 ISBN 978-3-16-153336-5 The Deutsche Nationalbibliothek lists this publication in the Deutsche Natio nal- bibliographie; detailed bibliographic data are available in the Internet at http:// dnb.dnb.de. © 2015 by Mohr Siebeck, Tübingen, Germany. www.mohr.de This book may not be reproduced, in whole or in part, in any form (beyond that permitted by copyright law) without the publisher’s written permission. This ap- plies particularly to reproductions, translations, microfilms and storage and pro- cessing in electronic systems. This book was supervised by Heinz-Günther Nesselrath (representing the SAPERE Editors) and typeset by Magdalena Albrecht, Janjenka Szillat and Andrea Villani at the SAPERE Research Institute, Göttingen. Printed by Gulde Druck in Tübin- gen on non-aging paper and bound by Buchbinderei Spinner in Ottersweier. Printed in Germany. SAPERE Greek and Latin texts of Later Antiquity (1st–4th centuries AD) have for a long time been overshadowed by those dating back to so-called ‘classi- cal’ times. -
Chapter Two Astrological Works in Sanskrit
51 CHAPTER TWO ASTROLOGICAL WORKS IN SANSKRIT Astrology can be defined as the 'philosophy of discovery' which analyzing past impulses and future actions of both individuals and communities in the light of planetary configurations. Astrology explains life's reaction to planetary movements. In Sanskrit it is called hora sastra the science of time-'^rwRH ^5R5fai«fH5iref ^ ^Tm ^ ^ % ^i^J' 11 L.R. Chawdhary documented the use of astrology as "astrology is important to male or female as is the case of psychology, this branch of knowledge deals with the human soul deriving awareness of the mind from the careful examination of the facts of consciousness. Astrology complements everything in psychology because it explains the facts of planetary influences on the conscious and subconscious providing a guideline towards all aspects of life, harmony of mind, body and spirit. This is the real use of astrology^. Dr. ^.V.Raman implies that "astrology in India is a part of the whole of Indian culture and plays an integral part in guiding life for all at all stages of life" ^. Predictive astrology is a part of astronomy that exists by the influence of ganita and astronomical doctrines. Winternitz observes that an astrologer is required to possess all possible noble quantities and a comprehensive knowledge of astronomy, ' Quoted from Sabdakalpadruma, kanta-ll, p.550 ^ L.R.Chawdhari, Secrets of astrology. Sterling Paper backs, New Delhi,1998, p.3 ^Raman.B.V, Planetary influence of Human affairs, U.B.S. Publishers, New Delhi, 1996,p.147 52 mathematics and astrology^ Astrology or predictive astrology is said to be coconnected with 'astronomy'. -
An Anecdote on Mādhava School of Mathematics
Insight: An International Journal for Arts and Humanities Peer Reviewed and Refereed Vol: 1; Issue: 3 ISSN: 2582-8002 An Anecdote on Mādhava School of Mathematics Athira K Babu Research Scholar, Department of Sanskrit Sahitya, Sree Sankaracharya University of Sanskrit, Kalady, Abstract The Sanskrit term ‘Gaṇitaśāstra’, meaning literally the “science of calculation” is used for mathematics. The mathematical tradition of ancient India is an ocean of knowledge that is dealing with many topics such as the Vedic, Jain and Buddhist traditions, the mathematical astronomy, The Bhakshali manuscripts, The Kerala School of mathematics and the like. Thus India has made a valuable contribution to the world of mathematics. The origin and development of Indian mathematics are connected with Jyotiśāstra1. This paper tries to deconstructing the concept of mathematical tradition of Kerala with respect to Niḷā valley civilization especially under the background of medieval Kerala and also tries to look into the Mādhava School of mathematics through the life and works of great mathematician Mādhava of Saṅgamagrāma and his pupils who lived in and around the river Niḷā. Keywords: Niḷā, Literature review, Mathematical Tradition of medieval Kerala, Mādhava of Saṅgamagrāma, Great lineage of Mādhava. Introduction Niḷā, the Nile of Kerala is famous for the great ‘Māmāṅkam’ festival. The word ‘Niḷā’point out a culture more than just a river. It has a great role in the formation of the cultural life of south Malabar part of Kerala. It could be seen that the word ‘Peraar’ indicating the same river in ancient scripts and documents. The Niḷā is the life line of many places such as Chittur, Ottappalam, Shornur, Cheruthuruthy, Pattambi, Thrithala, Thiruvegappura, Kudallur, Pallippuram, Kumbidi, 1 The Sanskrit word used for Astronomy is Jyotiśāstra.