From Geocentric to Heliocentric Model of the Universe, and the Alternative Perspectives
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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 -
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 -
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 -
Models for Earth and Maps
Earth Models and Maps James R. Clynch, Naval Postgraduate School, 2002 I. Earth Models Maps are just a model of the world, or a small part of it. This is true if the model is a globe of the entire world, a paper chart of a harbor or a digital database of streets in San Francisco. A model of the earth is needed to convert measurements made on the curved earth to maps or databases. Each model has advantages and disadvantages. Each is usually in error at some level of accuracy. Some of these error are due to the nature of the model, not the measurements used to make the model. Three are three common models of the earth, the spherical (or globe) model, the ellipsoidal model, and the real earth model. The spherical model is the form encountered in elementary discussions. It is quite good for some approximations. The world is approximately a sphere. The sphere is the shape that minimizes the potential energy of the gravitational attraction of all the little mass elements for each other. The direction of gravity is toward the center of the earth. This is how we define down. It is the direction that a string takes when a weight is at one end - that is a plumb bob. A spirit level will define the horizontal which is perpendicular to up-down. The ellipsoidal model is a better representation of the earth because the earth rotates. This generates other forces on the mass elements and distorts the shape. The minimum energy form is now an ellipse rotated about the polar axis. -
Anaximander and the Problem of the Earth's Immobility
Binghamton University The Open Repository @ Binghamton (The ORB) The Society for Ancient Greek Philosophy Newsletter 12-28-1953 Anaximander and the Problem of the Earth's Immobility John Robinson Windham College Follow this and additional works at: https://orb.binghamton.edu/sagp Recommended Citation Robinson, John, "Anaximander and the Problem of the Earth's Immobility" (1953). The Society for Ancient Greek Philosophy Newsletter. 263. https://orb.binghamton.edu/sagp/263 This Article is brought to you for free and open access by The Open Repository @ Binghamton (The ORB). It has been accepted for inclusion in The Society for Ancient Greek Philosophy Newsletter by an authorized administrator of The Open Repository @ Binghamton (The ORB). For more information, please contact [email protected]. JOHN ROBINSON Windham College Anaximander and the Problem of the Earth’s Immobility* N the course of his review of the reasons given by his predecessors for the earth’s immobility, Aristotle states that “some” attribute it I neither to the action of the whirl nor to the air beneath’s hindering its falling : These are the causes with which most thinkers busy themselves. But there are some who say, like Anaximander among the ancients, that it stays where it is because of its “indifference” (όμοιότητα). For what is stationed at the center, and is equably related to the extremes, has no reason to go one way rather than another—either up or down or sideways. And since it is impossible for it to move simultaneously in opposite directions, it necessarily stays where it is.1 The ascription of this curious view to Anaximander appears to have occasioned little uneasiness among modern commentators. -
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). -
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. -
Heliocentric Theory (Edited from Wikipedia)
Heliocentric Theory (Edited from Wikipedia) SUMMARY Heliocentrism, or heliocentricism, is the astronomical model in which the Earth and planets revolve around the Sun at the center of the Solar System. The word comes from the Greek (helios "sun" and kentron "center"). Historically, Heliocentrism was opposed to geocentrism, which placed the Earth at the center. The notion that the Earth revolves around the Sun had been proposed as early as the 3rd century BC by Aristarchus of Samos, but at least in the medieval world, Aristarchus's Heliocentrism attracted little attention. It was not until the 16th century that a geometric mathematical model of a heliocentric system was presented, by the mathematician, astronomer, and Catholic cleric Nicolaus Copernicus, leading to the Copernican Revolution. In the following century, Johannes Kepler elaborated upon and expanded this model to include elliptical orbits, and Galileo Galilei presented supporting observations made using a telescope. HISTORY To anyone who stands and looks up at the sky, it seems that the Earth stays in one place, while everything in the sky rises in the east and sets in the west once a day. However, with more scrutiny one will observe more complicated movements. The positions at which the Sun and moon rise change over the course of a year, some planets and stars do not appear at all for many months, and planets sometimes appear to have moved in the reverse direction for a while, relative to the background stars. As these motions became better understood, more elaborate descriptions were required, the most famous of which was the geocentric Ptolemaic system, which achieved its full expression in the 2nd century. -
Historical Astronomy
Historical Astronomy (Neolithic record of Moon Phases) Introduction Arguably the history of astronomy IS the history of science. Many cultures carried out astronomical observations. However, very few formed mathematical or physical models based on their observations. It is those that did that we will focus on here, primarily the Babylonians and Greeks. Other Examples At the same time, that focus should not cause us to forget the impressive accomplishments of other cultures. Other Examples ∼ 2300 year old Chankillo Big Horn Medicine Wheel, Observatory, near Lima, Wyoming Peru Other Examples Chinese Star Map - Chinese records go back over 4000 Stonehenge, England years Babylonian Astronomy The story we will follow in more detail begins with the Babylonians / Mesopotamians / Sumerians, the cultures that inhabited the “fertile crescent.” Babylonian Astronomy Their observations and mathematics was instrumental to the development of Greek astronomy and continues to influence science today. They were the first to provide a mathematical description of astronomical events, recognize that astronomical events were periodic, and to devise a theory of the planets. Babylonian Astronomy Some accomplishments: • The accurate prediction of solar and lunar eclipses. • They developed mathematical models to predict the motions of the planets. • Accurate star charts. • Recognized the changing apparent speed of the Sun’s motion. • Developed models to account for the changing speed of the Sun and Moon. • Gave us the idea of 360◦ in a circle, 600 in a degree, 6000 in a minute. Alas, only very fragmentary records of their work survives. Early Greek The conquests of Alexander the Great are oen credited with bringing knowl- edge of the Babylonians science and mathematics to the Greeks. -
You Can Only Use a Planar Surface So Far, Before the Equidistance Assumption Creates Large Errors
You can only use a planar surface so far, before the equidistance assumption creates large errors Distance error from Kiester to Warroad is greater than two football fields in length So we assume a spherical Earth P. Wormer, wikimedia commons Longitudes are great circles, latitudes are small circles (except the Equator, which is a GC) Spherical Geometry Longitude Spherical Geometry Note: The Greek letter l (lambda) is almost always used to specify longitude while f, a, w and c, and other symbols are used to specify latitude Great and Small Circles Great circles splits the Small circles splits the earth into equal halves earth into unequal halves wikipedia geography.name All lines of equal longitude are great circles Equator is the only line of equal latitude that’s a great circle Surface distance measurements should all be along a great circle Caliper Corporation Note that great circle distances appear curved on projected or flat maps Smithsonian In GIS Fundamentals book, Chapter 2 Latitude - angle to a parallel circle, a small circle parallel to the Equatorial great circle Spherical Geometry Three measures: Latitude, Longitude, and Earth Radius + height above/ below the sphere (hp) How do we measure latitude/longitude? Well, now, GNSS, but originally, astronomic measurements: latitude by north star or solar noon angles, at equinox Longitude Measurement Method 1: The Earth rotates 360 degrees in a day, or 15 degrees per hour. If we know the time difference between 2 points, and the longitude of the first point (Greenwich), we can determine the longitude at our current location. Method 2: Create a table of moon-star distances for each day/time of the year at a reference location (Greenwich observatory) Measure the same moon-star distance somewhere else at a standard or known time. -
Paths Between Points on Earth: Great Circles, Geodesics, and Useful Projections
Paths Between Points on Earth: Great Circles, Geodesics, and Useful Projections I. Historical and Common Navigation Methods There are an infinite number of paths between two points on the earth. For navigation purposes there are only a few historically common choices. 1. Sailing a latitude. Prior to a good method of finding longitude at sea, you sailed north or south until you cane to the latitude of your destination then you sailed due east or west until you reached your goal. Of course if you choose the wrong direction, you can get in big trouble. (This happened in 1707 to a British fleet that sunk when it hit rocks. This started the major British program for a longitude method useful at sea.) In this method the route follows the legs of a right triangle on the sphere. Just as in right triangles on the plane, the hypotenuse is always shorter than the sum of the other two sides. This method is very inefficient, but it was all that worked for open ocean sailing before 1770. 2. Rhumb Line A rhumb line is a line of constant bearing or azimuth. This is not the shortest distance on a long trip, but it is very easy to follow. You just have to know the correct azimuth to use to get between two sites, such as New York and London. You can get this from a straight line on a Mercator projection. This is the reason the Mercator projection was invented. On other projections straight lines are not rhumb lines. 3. Great Circle On a spherical earth, a great circle is the shortest distance between two locations. -
Order in the Cosmos: How Babylonians and Greeks Rationalized the Heavens
Order in the Cosmos: how Babylonians and Greeks rationalized the heavens Lasting Astronomical Influence: • Constellation Names • Zodiac • Degree - unit angle • Sexagesimal number system: circle: 360 degrees degree: 60 minutes place value number system (crucial for Greek science !) • Eclipse Observations & Periods • Synodic, Siderial, Draconic, Anomalistic months • and … Two distinct periods of flowering: • Old Babylonian astronomy: during and after First Babylonian dynasty (Hammurabi) 1830-1531 BCE • New Babylonian/Chaldean astronomy: Neo-Babylonian (Nebuchadnezzar) 626-539 BCE Medo-Persian 539-331 BCE Seleucid 335-141 BCE Parthian 129 BCE-224 AD timeline Babylonian astronomy Evans 1998 Babylonian Astronomers: • most consistent, systematic and thorough astronomical observers of antiquity • First to recognize periodicity astronomical phenomena (e.g. eclipses !), and apply mathematical techniques for predictions • Systematically observed and recorded the heavens: - Records spanning many centuries (> millennium) - Archives of cuneiform tablets - Famous Examples: Enuma Anu Enlil 68-70 tablets Kassite period (1650-1150) tablet 63: Venus tablet of Ammisaduga MUL.APIN 700 BCE oldest copy: 686 BCE • Several types of astronomical texts in Babylonian astronomy. • Four principal types: 1) astronomical diaries 2) goal year texts 3) ephemerides 4) procedure texts • Ephemerides: - listing of positions of planets and their meaning (eg. extreme points retrograde path) - predictive: positions based on calculations (based on scheme) - ephemerides for Moon - ephemerides for planets • Procedure texts: description of procedure(s) to calculate ephemerides Old text, probably Kassite period (1595-1157 BCE) • A major series of 68 or 70 tablets • dealing with Babylonian astrology. • bulk is a substantial collection of omens, estimated to number between 6500 and 7000, • interpreting a wide variety of celestial and atmospheric phenomena in terms relevant to the king and state 2.