The Discovery of a Sumerian Clay Tablet with Cuneiform Writing, Showing the Solar System from the Third Millennium B.C
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CURRICULUM VITA of ROBERT HAHN January 2015
CURRICULUM VITA OF ROBERT HAHN January 2015 I. PERSONAL A. Present University Department: Philosophy. II. EDUCATION Ph.D., Philosophy, Yale University, May 1976. M. Phil., Philosophy, Yale University, May 1976. M.A., Philosophy, Yale University, December 1975. B.A., Philosophy, Union College, Summa cum laude, June 1973. Summer Intensive Workshop in Ancient Greek, The University of California at Berkeley, 1973. Summer Intensive Workshop in Sanskrit, The University of Chicago, 1972. III. PROFESSIONAL EXPERIENCE 2002-present Professor of Philosophy, Southern Illinois University at Carbondale 1988-2001 Associate Professor of Philosophy, Southern Illinois University at Carbondale. 1982-1987 Assistant Professor of Philosophy, Southern Illinois University at Carbondale. 1981-1982 Assistant Professor of Philosophy, Denison University. 1978-1981 Assistant Professor of Philosophy and the History of Ideas, Brandeis University. 1979-1981 Assistant Professor, Harvard University, Extension. 1980 (Spring) Visiting Professor, The American College of Greece (Deree College), Athens, Greece. 1980 (Summer) Visiting Professor, The University of Maryland: European Division, Athens, Greece (The United States Air Force #7206 Air Base Group). 1977-1978 Assistant Professor of Philosophy, The University of Texas, Arlington. 1977 (Spring) Lecturer in Philosophy, Yale University. 1976 (Fall) Postdoctoral Research Fellow in Philosophy, The University of California at Berkeley. IV. TEACHING EXPERIENCE A. Teaching Interests and Specialties: History of Philosophy, History/Philosophy -
1 Timeline 2 Geocentric Model
Ancient Astronomy Many ancient cultures were interested in the night sky • Calenders • Prediction of seasons • Navigation 1 Timeline Astronomy timeline • ∼ 3000 B.C. Stonehenge • 2136 B.C. First record of solar eclipse by Chinese astronomers • 613 B.C. First record of Halley’s comet by Zuo Zhuan (China) • ∼ 270 B.C. Aristarchus proposes Earth goes around Sun (not a popular idea at the time) • ∼ 240 B.C. Eratosthenes estimates Earth’s circumference • ∼ 130 B.C. Hipparchus develops first accurate star map (one of the first to use R.A. and Dec) 2 Geocentric model The Geocentric Model • Greek philosopher Aristotle (384-322 B.C.) • Uniform circular motion • Earth at center of Universe Retrograde Motion • General motion of planets east- ward • Short periods of westward motion of planets • Then continuation eastward How did the early Greek philosophers make retrograde motion consistent with uniform circular motion? 3 Ptolemy Ptolemy’s Geocentric Model • Planet moves around a small circle called an epicycle • Center of epicycle moves along a larger cir- cle called a deferent • Center of deferent is at center of Earth (sort of) Ptolemy’s Geocentric Model • Ptolemy invented the device called the eccentric • The eccentric is the center of the deferent • Sometimes the eccentric was slightly off center from the center of the Earth Ptolemy’s Geocentric Model • Uniform circular motion could not account for speed of the planets thus Ptolemy used a device called the equant • The equant was placed the same distance from the eccentric as the Earth, but on the -
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 -
1 Science LR 2711
A Scientific Response to the Chester Beatty Library Collection Contents The Roots Of Modern Science A Scientific Response To The Chester Beatty Library Collection 1 Science And Technology 2 1 China 3 Science In Antiquity 4 Golden Age Of Islamic Science 5 Transmission Of Knowledge To Europe 6 A Scientific Response To The Chester Beatty Library Collections For Dublin City Of Science 2012 7 East Asian Collections The Great Encyclopaedia of the Yongle Reign (Yongle Dadian) 8 2 Phenomena of the Sky (Tianyuan yuli xiangyi tushuo) 9 Treatise on Astronomy and Chronology (Tianyuan lili daquan) 10 Illustrated Scrolls of Gold Mining on Sado Island (Sado kinzan zukan) 11 Islamic Collections Islamic Medicine 12 3 Medical Compendium, by al-Razi (Al-tibb al-mansuri) 13 Encyclopaedia of Medicine, by Ibn Sina (Al-qanun fi’l-tibb) 14 Treatise on Surgery, by al-Zahrawi (Al-tasrif li-man ‘ajiza ‘an al-ta’lif) 15 Treatise on Human Anatomy, by Mansur ibn Ilyas (Tashrih al-badan) 16 Barber –Surgeon toolkit from 1860 17 Islamic Astronomy and Mathematics 18 The Everlasting Cycles of Lights, by Muhyi al-Din al-Maghribi (Adwar al-anwar mada al-duhur wa-l-akwar) 19 Commentary on the Tadhkira of Nasir al-Din al-Tusi 20 Astrolabes 21 Islamic Technology 22 Abbasid Caliph, Ma’mum at the Hammam 23 European Collections European Science of the Middle Ages 24 4 European Technology: On Military Matters (De Re Militari) 25 European Technology: Concerning Military Matters (De Re Militari) 26 Mining Technology: On the Nature of Metals (De Re Metallica) 27 Fireworks: The triumphal -
Thinking Outside the Sphere Views of the Stars from Aristotle to Herschel Thinking Outside the Sphere
Thinking Outside the Sphere Views of the Stars from Aristotle to Herschel Thinking Outside the Sphere A Constellation of Rare Books from the History of Science Collection The exhibition was made possible by generous support from Mr. & Mrs. James B. Hebenstreit and Mrs. Lathrop M. Gates. CATALOG OF THE EXHIBITION Linda Hall Library Linda Hall Library of Science, Engineering and Technology Cynthia J. Rogers, Curator 5109 Cherry Street Kansas City MO 64110 1 Thinking Outside the Sphere is held in copyright by the Linda Hall Library, 2010, and any reproduction of text or images requires permission. The Linda Hall Library is an independently funded library devoted to science, engineering and technology which is used extensively by The exhibition opened at the Linda Hall Library April 22 and closed companies, academic institutions and individuals throughout the world. September 18, 2010. The Library was established by the wills of Herbert and Linda Hall and opened in 1946. It is located on a 14 acre arboretum in Kansas City, Missouri, the site of the former home of Herbert and Linda Hall. Sources of images on preliminary pages: Page 1, cover left: Peter Apian. Cosmographia, 1550. We invite you to visit the Library or our website at www.lindahlll.org. Page 1, right: Camille Flammarion. L'atmosphère météorologie populaire, 1888. Page 3, Table of contents: Leonhard Euler. Theoria motuum planetarum et cometarum, 1744. 2 Table of Contents Introduction Section1 The Ancient Universe Section2 The Enduring Earth-Centered System Section3 The Sun Takes -
The Roots of Astronomy
The Roots of Astronomy • Already in the stone and bronze ages, human cultures realized the cyclic nature of motions in the sky. • Monuments dating back to ~ 3000 B.C. show alignments with astronomical significance. • Those monuments were probably used as calendars or even to predict eclipses. Stonehenge • Constructed: 3000 – 1800 B.C. Summer solstice Heelstone • Alignments with locations of sunset, sunrise, moonset and moonrise at summer and winter solstices • Probably used as calendar. Other Examples All Over the World Big Horn Medicine Wheel (Wyoming) Other Examples All Over the World (2) Caracol (Maya culture, approx. A.D. 1000) Ancient Greek Astronomers (1) • Unfortunately, there are no written documents about the significance of stone and bronze age monuments. • First preserved written documents about ancient astronomy are from ancient Greek philosophy. • Greeks tried to understand the motions of the sky and describe them in terms of mathematical (not physical!) models. Ancient Greek Astronomers (2) Models were generally wrong because they were based on wrong “first principles”, believed to be “obvious” and not questioned: 1. Geocentric Universe: Earth at the Center of the Universe. 2. “Perfect Heavens”: Motions of all celestial bodies described by motions involving objects of “perfect” shape, i.e., spheres or circles. Ancient Greek Astronomers (3) • Eudoxus (409 – 356 B.C.): Model of 27 nested spheres • Aristotle (384 – 322 B.C.), major authority of philosophy until the late middle ages: Universe can be divided in 2 parts: 1. Imperfect, -
ASTRO190 HOMEWORK #1, DUE Jan 16 Before Class
ASTRO190 HOMEWORK #1, DUE Jan 16 before class. This homework covers the material of the first day of class. Submit in pdf or text format to [email protected]. Content, conciseness and clarity matter. More difficult questions will be graded with a lighter touch. Contact me (543-7683; [email protected]) if you are stymied. 1. Modern science can trace its history back to some of the earliest Greek philosophers who preceded Socrates and Aristotle, notably Thales of Miletus (624-546 BCE), Anaximander of Miletus (610-546 BCE), Pythagoras* of Saros (570-495 BCE), Democritus of Thrace (460-370 BCE) * Anaximander’s student, known best for his derivation of the relative lengths of lines of triangles Match each of these people with their assertions about the nature of the natural world (Hint: use Wiki). That is, match each name and the letter that identifies their assertion, such as “Pythagoras – (X)”. (One line) a. Deverything can be understood as the result of natural laws b. Trational thinking and the application of hypotheses, not the ancient anthropomorphic gods, is the way to understand the world around us c. Anature is ruled by laws, just like human societies, and anything that disturbs the balance of nature does not last long d. Pthe planets and stars move according to mathematical equations, which correspond to musical notes and thus produce a symphony 2. Science as we know it withered in the Roman Empire and the Dark Ages until the later years of the Renaissance. Nicolas Copernicus (1473-1543), Giordano Bruno (1548-1600), Galileo Galilei of Pisa (1564-1642) re-awakened science and gave it prominence (despite the teachings of powerful theists into the 19th century that only God understands how the world works). -
The Persian-Toledan Astronomical Connection and the European Renaissance
Academia Europaea 19th Annual Conference in cooperation with: Sociedad Estatal de Conmemoraciones Culturales, Ministerio de Cultura (Spain) “The Dialogue of Three Cultures and our European Heritage” (Toledo Crucible of the Culture and the Dawn of the Renaissance) 2 - 5 September 2007, Toledo, Spain Chair, Organizing Committee: Prof. Manuel G. Velarde The Persian-Toledan Astronomical Connection and the European Renaissance M. Heydari-Malayeri Paris Observatory Summary This paper aims at presenting a brief overview of astronomical exchanges between the Eastern and Western parts of the Islamic world from the 8th to 14th century. These cultural interactions were in fact vaster involving Persian, Indian, Greek, and Chinese traditions. I will particularly focus on some interesting relations between the Persian astronomical heritage and the Andalusian (Spanish) achievements in that period. After a brief introduction dealing mainly with a couple of terminological remarks, I will present a glimpse of the historical context in which Muslim science developed. In Section 3, the origins of Muslim astronomy will be briefly examined. Section 4 will be concerned with Khwârizmi, the Persian astronomer/mathematician who wrote the first major astronomical work in the Muslim world. His influence on later Andalusian astronomy will be looked into in Section 5. Andalusian astronomy flourished in the 11th century, as will be studied in Section 6. Among its major achievements were the Toledan Tables and the Alfonsine Tables, which will be presented in Section 7. The Tables had a major position in European astronomy until the advent of Copernicus in the 16th century. Since Ptolemy’s models were not satisfactory, Muslim astronomers tried to improve them, as we will see in Section 8. -
THE EVOLUTION of SCHOOL MATHEMATICS TEXTBOOKS Jeremy Kilpatrick University of Georgia [email protected]
International Conference on Mathematics Textbook Research and Development 2014 (ICMT-2014) 29-31 July 2014, University of Southampton, UK FROM CLAY TABLET TO COMPUTER TABLET: THE EVOLUTION OF SCHOOL MATHEMATICS TEXTBOOKS Jeremy Kilpatrick University of Georgia [email protected] Over the centuries and around the world, school mathematics textbooks have differed in many ways. In this idiosyncratic survey, I attempt to portray, across time and space, something of what researchers have learned about those textbooks: what they are, what they appear to be, how they are related, and how they have been used. In general, school mathematics textbooks have differed more in approach and form than in function or content. Their principal function has been to serve as repositories of authorized knowledge, although at times they have been enlisted as resources for creative problem solving or as material for self-instruction. In the past, as textbooks took different forms and appeared in different media—clay tablet, papyrus, parchment, bamboo, paper—they also began to take on a wider span of mathematical content and to vary extensively in pedagogical approach. Research on textbooks has examined many of their characteristics, looking at how they have changed over time and, less often, how they differ across communities. Today, school mathematics textbooks seem more similar in mathematical content than they are in appearance, pedagogical outlook, or assistance for the teacher. There does seem to be something of a virtual school mathematics curriculum worldwide, whereas there is little agreement on what features the textbooks enshrining that curriculum should have. Today’s textbooks vary along many dimensions. -
Astro110-01 Lecture 7 the Copernican Revolution
Astro110-01 Lecture 7 The Copernican Revolution or the revolutionaries: Nicolas Copernicus (1473-1543) Tycho Brahe (1546-1601) Johannes Kepler (1571-1630) Galileo Galilei (1564-1642) Isaac Newton (1642-1727) who toppled Aristotle’s cosmos 2/2/09 Astro 110-01 Lecture 7 1 Recall: The Greek Geocentric Model of the heavenly spheres (around 400 BC) • Earth is a sphere that rests in the center • The Moon, Sun, and the planets each have their own spheres • The outermost sphere holds the stars • Most famous players: Aristotle and Plato 2/2/09 Aristotle Plato Astro 110-01 Lecture 7 2 But this made it difficult to explain the apparent retrograde motion of planets… Over a period of 10 weeks, Mars appears to stop, back up, then go forward again. Mars Retrograde Motion 2/2/09 Astro 110-01 Lecture 7 3 A way around the problem • Plato had decreed that in the heavens only circular motion was possible. • So, astronomers concocted the scheme of having the planets move in circles, called epicycles, that were themselves centered on other circles, called deferents • If an observation of a planet did not quite fit the existing system of deferents and epicycles, another epicycle could be added to improve the accuracy • This ancient system of astronomy was codified by the Alexandrian Greek astronomer Ptolemy (A.D. 100–170), in a book translated into Arabic and called Almagest. • Almagest remained the principal textbook of astronomy for 1400 years until Copernicus 2/2/09 Astro 110-01 Lecture 7 4 So how does the Ptolemaic model explain retrograde motion? Planets really do go backward in this model. -
Nicolaus Copernicus: the Loss of Centrality
I Nicolaus Copernicus: The Loss of Centrality The mathematician who studies the motions of the stars is surely like a blind man who, with only a staff to guide him, must make a great, endless, hazardous journey that winds through innumerable desolate places. [Rheticus, Narratio Prima (1540), 163] 1 Ptolemy and Copernicus The German playwright Bertold Brecht wrote his play Life of Galileo in exile in 1938–9. It was first performed in Zurich in 1943. In Brecht’s play two worldviews collide. There is the geocentric worldview, which holds that the Earth is at the center of a closed universe. Among its many proponents were Aristotle (384–322 BC), Ptolemy (AD 85–165), and Martin Luther (1483–1546). Opposed to geocentrism is the heliocentric worldview. Heliocentrism teaches that the sun occupies the center of an open universe. Among its many proponents were Copernicus (1473–1543), Kepler (1571–1630), Galileo (1564–1642), and Newton (1643–1727). In Act One the Italian mathematician and physicist Galileo Galilei shows his assistant Andrea a model of the Ptolemaic system. In the middle sits the Earth, sur- rounded by eight rings. The rings represent the crystal spheres, which carry the planets and the fixed stars. Galileo scowls at this model. “Yes, walls and spheres and immobility,” he complains. “For two thousand years people have believed that the sun and all the stars of heaven rotate around mankind.” And everybody believed that “they were sitting motionless inside this crystal sphere.” The Earth was motionless, everything else rotated around it. “But now we are breaking out of it,” Galileo assures his assistant.