Newton on the Beach: the Information Order of Principia Mathematica
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Cultural Gap: an International Physicist’S Experience
Bridging the Socio- Cultural Gap: An International Physicist’s Experience J. Pedro Ochoa Berkeley Lab APS March Meeting: Experiences and Issues of Young Physicist’s on the International Arena Dallas, TX – March 2011 1 Wednesday, July 20, 2011 Let’s start with an example… Some quick facts about the academic career of Isaac Newton, arguably the best physicist of all times: Born in Lincolnshire Educated at King’s School, Grantham Attended Trinity College in Cambridge His advisors were Isaac Barrow and Benjamin Pulleyn He was appointed the Lucasian Professor of Mathematics at Cambridge Mentored notable students such as Roger Cotes and William Whiston. Died in Kensington at age 67 2 Wednesday, July 20, 2011 Let’s start with an example… Some quick facts about the academic career of Isaac Newton, arguably the best physicist of all times: England Born in Lincolnshire Educated at King’s School, Grantham Attended Trinity College in Cambridge His advisors were Isaac Barrow and Benjamin Pulleyn He was appointed the Lucasian Professor of Mathematics at Cambridge Mentored notable students such as Roger Cotes and William Whiston. Died in Kensington at age 67 2 Wednesday, July 20, 2011 Let’s start with an example… Some quick facts about the academic career of Isaac Newton, arguably the best physicist of all times: England Born in Lincolnshire England Educated at King’s School, Grantham Attended Trinity College in Cambridge His advisors were Isaac Barrow and Benjamin Pulleyn He was appointed the Lucasian Professor of Mathematics -
Newton.Indd | Sander Pinkse Boekproductie | 16-11-12 / 14:45 | Pag
omslag Newton.indd | Sander Pinkse Boekproductie | 16-11-12 / 14:45 | Pag. 1 e Dutch Republic proved ‘A new light on several to be extremely receptive to major gures involved in the groundbreaking ideas of Newton Isaac Newton (–). the reception of Newton’s Dutch scholars such as Willem work.’ and the Netherlands Jacob ’s Gravesande and Petrus Prof. Bert Theunissen, Newton the Netherlands and van Musschenbroek played a Utrecht University crucial role in the adaption and How Isaac Newton was Fashioned dissemination of Newton’s work, ‘is book provides an in the Dutch Republic not only in the Netherlands important contribution to but also in the rest of Europe. EDITED BY ERIC JORINK In the course of the eighteenth the study of the European AND AD MAAS century, Newton’s ideas (in Enlightenment with new dierent guises and interpre- insights in the circulation tations) became a veritable hype in Dutch society. In Newton of knowledge.’ and the Netherlands Newton’s Prof. Frans van Lunteren, sudden success is analyzed in Leiden University great depth and put into a new perspective. Ad Maas is curator at the Museum Boerhaave, Leiden, the Netherlands. Eric Jorink is researcher at the Huygens Institute for Netherlands History (Royal Dutch Academy of Arts and Sciences). / www.lup.nl LUP Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. 1 Newton and the Netherlands Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. 2 Newton and the Netherlands.indd | Sander Pinkse Boekproductie | 16-11-12 / 16:47 | Pag. -
Maty's Biography of Abraham De Moivre, Translated
Statistical Science 2007, Vol. 22, No. 1, 109–136 DOI: 10.1214/088342306000000268 c Institute of Mathematical Statistics, 2007 Maty’s Biography of Abraham De Moivre, Translated, Annotated and Augmented David R. Bellhouse and Christian Genest Abstract. November 27, 2004, marked the 250th anniversary of the death of Abraham De Moivre, best known in statistical circles for his famous large-sample approximation to the binomial distribution, whose generalization is now referred to as the Central Limit Theorem. De Moivre was one of the great pioneers of classical probability the- ory. He also made seminal contributions in analytic geometry, complex analysis and the theory of annuities. The first biography of De Moivre, on which almost all subsequent ones have since relied, was written in French by Matthew Maty. It was published in 1755 in the Journal britannique. The authors provide here, for the first time, a complete translation into English of Maty’s biography of De Moivre. New mate- rial, much of it taken from modern sources, is given in footnotes, along with numerous annotations designed to provide additional clarity to Maty’s biography for contemporary readers. INTRODUCTION ´emigr´es that both of them are known to have fre- Matthew Maty (1718–1776) was born of Huguenot quented. In the weeks prior to De Moivre’s death, parentage in the city of Utrecht, in Holland. He stud- Maty began to interview him in order to write his ied medicine and philosophy at the University of biography. De Moivre died shortly after giving his Leiden before immigrating to England in 1740. Af- reminiscences up to the late 1680s and Maty com- ter a decade in London, he edited for six years the pleted the task using only his own knowledge of the Journal britannique, a French-language publication man and De Moivre’s published work. -
The Meridian Arc Measurement in Peru 1735 – 1745
The Meridian Arc Measurement in Peru 1735 – 1745 Jim R. SMITH, United Kingdom Key words: Peru. Meridian. Arc. Triangulation. ABSTRACT: In the early 18th century the earth was recognised as having some ellipsoidal shape rather than a true sphere. Experts differed as to whether the ellipsoid was flattened at the Poles or the Equator. The French Academy of Sciences decided to settle the argument once and for all by sending one expedition to Lapland- as near to the Pole as possible; and another to Peru- as near to the Equator as possible. The result supported the view held by Newton in England rather than that of the Cassinis in Paris. CONTACT Jim R. Smith, Secretary to International Institution for History of Surveying & Measurement 24 Woodbury Ave, Petersfield Hants GU32 2EE UNITED KINGDOM Tel. & fax + 44 1730 262 619 E-mail: [email protected] Website: http://www.ddl.org/figtree/hsm/index.htm HS4 Surveying and Mapping the Americas – In the Andes of South America 1/12 Jim R. Smith The Meridian Arc Measurement in Peru 1735-1745 FIG XXII International Congress Washington, D.C. USA, April 19-26 2002 THE MERIDIAN ARC MEASUREMENT IN PERU 1735 – 1745 Jim R SMITH, United Kingdom 1. BACKGROUND The story might be said to begin just after the mid 17th century when Jean Richer was sent to Cayenne, S. America, to carry out a range of scientific experiments that included the determination of the length of a seconds pendulum. He returned to Paris convinced that in Cayenne the pendulum needed to be 11 lines (2.8 mm) shorter there than in Paris to keep the same time. -
The Information Order of Isaac Newton's Principia Mathematica
SIMON SCHAFFER The Information Order of Isaac Newton’s Principia Mathematica THE HANS RAUSING LECTURE 2008 UPPSALA UNIVERSITY SALVIA SMÅSKRIFTER 1 2 THE HANS RAUSING LECTURE 2008 The Information Order of Isaac Newton’s Principia Mathematica SIMON SCHAFFER Professor of History of Science, University of Cambridge UPPSALA UNIVERSITY 3 SALVIA SMÅSKRIFTER, NO. 11 © Författaren Tryck Wikströms, Uppsala 2008 ISBN 978-91-506-2040-5 4 Contents The Information Order of Isaac Newton’s Principia Mathematica 7 What I may seem to the World 7 Information Orders and Credit Economies 12 Tides and Currents: A Tonkin Resolution 23 Comets and Pendulums: Information Obscured by Clouds 36 In Heaven as it is on Earth 49 Author’s biographical sketch 59 5 6 The Information Order of Isaac Newton’s Principia Mathematica Simon Schaffer What I may seem to the world “I know not what I may seem to the world, but as to myself, I seem to have been only like a boy playing on the sea-shore and diverting myself in now and then finding a smoother pebble or a prettier shell than ordinary, whilst the great ocean of truth lay all undiscovered before me.” 1 It is one of the most celebrated of Isaac Newton’s obiter dicta. Like many such, its provenance is a bit hazy. The literary reference is surely to a passage from John Milton’s great redemptive poem Paradise Regained (1671) where, in dialogue with Satan, Christ praises divine illumination above pagan learning.2 But the statement’s immediate relation with Newton is more ambiguous. The earliest version is to be found in an Oxford conversation of April 1730, three years after Newton’s death, between the gossipy man of letters Joseph Spence and the Jacobite, freemason and court tutor Andrew Ramsay. -
Calculation and Controversy
calculation and controversy The young Newton owed his greatest intellectual debt to the French mathematician and natural philosopher, René Descartes. He was influ- enced by both English and Continental commentators on Descartes’ work. Problems derived from the writings of the Oxford mathematician, John Wallis, also featured strongly in Newton’s development as a mathe- matician capable of handling infinite series and the complexities of calcula- tions involving curved lines. The ‘Waste Book’ that Newton used for much of his mathematical working in the 1660s demonstrates how quickly his talents surpassed those of most of his contemporaries. Nevertheless, the evolution of Newton’s thought was only possible through consideration of what his immediate predecessors had already achieved. Once Newton had become a public figure, however, he became increasingly concerned to ensure proper recognition for his own ideas. In the quarrels that resulted with mathematicians like Gottfried Wilhelm Leibniz (1646–1716) or Johann Bernoulli (1667–1748), Newton supervised his disciples in the reconstruction of the historical record of his discoveries. One of those followers was William Jones, tutor to the future Earl of Macclesfield, who acquired or copied many letters and papers relating to Newton’s early career. These formed the heart of the Macclesfield Collection, which has recently been purchased by Cambridge University Library. 31 rené descartes, Geometria ed. and trans. frans van schooten 2 parts (Amsterdam, 1659–61) 4o: -2 4, a-3t4, g-3g4; π2, -2 4, a-f4 Trinity* * College, Cambridge,* shelfmark* nq 16/203 Newton acquired this book ‘a little before Christmas’ 1664, having read an earlier edition of Descartes’ Geometry by van Schooten earlier in the year. -
Graphical Evidence for the Solar Coronal Structure During the Maunder Minimum: Comparative Study of the Total Eclipse Drawings in 1706 and 1715
J. Space Weather Space Clim. 2021, 11,1 Ó H. Hayakawa et al., Published by EDP Sciences 2021 https://doi.org/10.1051/swsc/2020035 Available online at: www.swsc-journal.org Topical Issue - Space climate: The past and future of solar activity RESEARCH ARTICLE OPEN ACCESS Graphical evidence for the solar coronal structure during the Maunder minimum: comparative study of the total eclipse drawings in 1706 and 1715 Hisashi Hayakawa1,2,3,4,*, Mike Lockwood5,*, Matthew J. Owens5, Mitsuru Sôma6, Bruno P. Besser7, and Lidia van Driel – Gesztelyi8,9,10 1 Institute for Space-Earth Environmental Research, Nagoya University, 4648601 Nagoya, Japan 2 Institute for Advanced Researches, Nagoya University, 4648601 Nagoya, Japan 3 Science and Technology Facilities Council, RAL Space, Rutherford Appleton Laboratory, Harwell Campus, OX11 0QX Didcot, UK 4 Nishina Centre, Riken, 3510198 Wako, Japan 5 Department of Meteorology, University of Reading, RG6 6BB Reading, UK 6 National Astronomical Observatory of Japan, 1818588 Mitaka, Japan 7 Space Research Institute, Austrian Academy of Sciences, 8042 Graz, Austria 8 Mullard Space Science Laboratory, University College London, RH5 6NT Dorking, UK 9 LESIA, Observatoire de Paris, Université PSL, CNRS, Sorbonne Université, Université Paris Diderot, Sorbonne Paris Cité, 92195 Meudon, France 10 Konkoly Observatory, Hungarian Academy of Sciences, 1121 Budapest, Hungary Received 18 October 2019 / Accepted 29 June 2020 Abstract – We discuss the significant implications of three eye-witness drawings of the total solar eclipse on 1706 May 12 in comparison with two on 1715 May 3, for our understanding of space climate change. These events took place just after what has been termed the “deep Maunder Minimum” but fall within the “extended Maunder Minimum” being in an interval when the sunspot numbers start to recover. -
Newton As Philosopher
This page intentionally left blank NEWTON AS PHILOSOPHER Newton’s philosophical views are unique and uniquely difficult to categorize. In the course of a long career from the early 1670s until his death in 1727, he articulated profound responses to Cartesian natural philosophy and to the prevailing mechanical philosophy of his day. Newton as Philosopher presents Newton as an original and sophisti- cated contributor to natural philosophy, one who engaged with the principal ideas of his most important predecessor, René Descartes, and of his most influential critic, G. W. Leibniz. Unlike Descartes and Leibniz, Newton was systematic and philosophical without presenting a philosophical system, but, over the course of his life, he developed a novel picture of nature, our place within it, and its relation to the creator. This rich treatment of his philosophical ideas, the first in English for thirty years, will be of wide interest to historians of philosophy, science, and ideas. ANDREW JANIAK is Assistant Professor in the Department of Philosophy, Duke University. He is editor of Newton: Philosophical Writings (2004). NEWTON AS PHILOSOPHER ANDREW JANIAK Duke University CAMBRIDGE UNIVERSITY PRESS Cambridge, New York, Melbourne, Madrid, Cape Town, Singapore, São Paulo Cambridge University Press The Edinburgh Building, Cambridge CB2 8RU, UK Published in the United States of America by Cambridge University Press, New York www.cambridge.org Information on this title: www.cambridge.org/9780521862868 © Andrew Janiak 2008 This publication is in copyright. Subject to statutory exception and to the provision of relevant collective licensing agreements, no reproduction of any part may take place without the written permission of Cambridge University Press. -
The Royal Observatory Greenwich, Its History and Work
xiSS* i&S* cO^' <py" cjs- D/^ (&?* oiV* T v. v. > v JHDER-f^a-s {^m b#tt+j+jiLe.. ASTRONOMY LIBRARY WELLESLEY COLLEGE LIBRARY PRESENTED Br ^SOScj Wise fearing leajtefh to hlqkev levels. ana to farmer shores -w^vcwwv OC^^U- trfrJLtst** - ^JfU^CL^^y y i^rt>^- V FLAMSTEED, THE FIRST ASTRONOMER ROYAL. {From the portrait in the ' Historia Ccelestis .') THE ROYAL OBSERVATORY GREENWICH A GLANCE AT ITS HISTORY AND WORK EY E. WALTER MAUNDER, F.R.A.S. WITH MANY PORTRAITS AXD ILLUSTRATIONS FROM OLD PRINTS AND ORIGINAL PHOTOGRAPHS LONDON THE RELIGIOUS TRACT SOCIETY 56 Paternoster Row, and 65 St. Paul's Churchyard 1900 i*\So t> LONDON" : PRINTED BY WILLIAM CLOWES AND SONS, LIMITED, STAMFORD STREET AND CHARING CROSS. ^HA 92 PREFACE I WAS present on one occasion at a popular lecture delivered in Greenwich, when the lecturer referred to the way in which so many English people travel to the ends of the earth in order to see interesting or wonderful places, and yet entirely neglect places of at least equal importance in their own land. 1 Ten minutes' walk from this hall,' he said, ' is Greenwich Observatory, the most famous observatory in the world. Most of you see it every day of your lives, and yet I dare say that not one in a hundred of you has ever been inside.' Whether the lecturer was justified in the general scope of his stricture or not, the particular instance he selected was certainly unfortunate. It was not the fault of the majority of his audience that they had not entered Greenwich Observatory, since the regulations by which it is governed forbade them doing so. -
Critical Pointmeasuring the Earth
physicsworld.com Comment: Robert P Crease Critical Point Measuring the Earth The precise shape of the Earth is disturbed their simple motion. Much of the pendulum’s subsequent his- now remarkably well known, but it tory consists of discoveries and corrections was first measured by perhaps for these factors, or of its use to measure these factors. In 1672, for instance, the the oldest and most humble of French astronomer Jean Richer (1630– instruments – the pendulum. iStockphoto.com/raw206 1696) discovered that the length of a seconds pendulum changes with latitude: if g is Robert P Crease explains smaller, as it is at the equator, a pendulum has to be shortened to keep T/2 to 1 s. In his travel book The Innocents Abroad Richer’s work revealed that the Earth is not (1869), Mark Twain describes his visit to the spherical but flattened slightly at the poles, Baptistery of the Duomo of Pisa, where, like a pumpkin. Pendulums therefore proved according to legend, in 1581 the young to be multipurpose instruments that could Galileo noticed the regularity of the build- help determine not only laws of motion, but ing’s swinging chandelier. Using his pulse as also the Earth’s shape. “[W]ithout the pen- a stopwatch, the then 17-year-old medical dulum,” wrote Newton’s biographer Rich- student observed that the chandelier took ard Westfall, “there would be no Principia.” the same time to swing back and forth In the 18th century pendulums were in- whether traversing a short or a long arc. Simply useful Pendulums proved that the Earth is creasingly used to measure time and speed. -
Metodologia E Política Em Ciência: O Destino Da Proposta De Huygens De
METODOLOGIA E POLÍTICA EM CIÊNCIA: O DESTINO DA PROPOSTA DE HUYGENS DE 1673 PARA ADOÇÃO DO PÊNDULO DE SEGUNDOS COMO UM PADRÃO INTERNACIONAL DE COMPRIMENTO E + ALGUMAS SUGESTÕES EDUCACIONAIS * Michael Matthews School of Education University of New South Wales Sídney Austrália Resumo Este artigo trata do destino da proposta de Christiaan Huygens de 1673 para o uso do comprimento de um pêndulo de segundos (na verdade um metro) como um padrão universal, natural e objetivo de comprimento. Caso tal padrão tivesse sido adotado, isto teria sido de um valor científico, comercial e cultural inestimável. O motivo pelo qual ele não foi adotado em fins do séc. XVII e foi, mais uma vez, rejeitado em fins do séc. XVIII (1795) quando a assembléia revolucionária na França adotou o sistema métrico, com o metro sendo definido como a décima milionésima parte da distância entre o equador e o pólo norte, levanta questões interessantes acerca de metodologia e política da ciência. Uma vez que o movimento pendular é um componente regular de todos os cursos de ciências em todas as partes do mundo, e considerando-se que a maioria das reformas no ensino de ciências, inclusive os Padrões Nacionais de Ensino de Ciências nos Estados Unidos e as recentes reformas nos estados australianos, exigem que algo do grande quadro da ciência seja transmitido aos alunos (a relação da ciência com a cultura, o comércio, a história e a filosofia), sugere-se que estas metas educacionais podem ser promovidas através do ensino sobre o destino da proposta de Huygens. * Methodology and Politics in Science: The Fate of Huygens 1673 Proposal of the Seconds Pendulum as an International Standard of Length and Some Educational Suggestions - Conferên- cia proferida no VII Encontro de Pesquisa em Ensino de Física, Florianópolis, março de 2000. -
Bulletin 240: Contributions from the Museum of History and Technology
Contributions from The Museum of History and Technology: Paper 44 Development of Gravity Pendulums in the 19th Century Victor F. Lenten and Robert P. Multbauj GALILEO, HUYCENS, AM) NEWTON ^>1 1 K.I RE OF THE EARTH 306 EARLY TYPES OF PENDULUMS ?09 kater's CONVERTIBLE AND INVARIABLE PENDULI Ms JI4 REPSOLD-BESSEL REVERSIBLE PENDULUM 320 PEIRCE AND DEFFORGES INVARIABLE REVERSIBL] PENDULI Ms J27 VON STERNECK AND MENDENHALL PENDULI Ms J3I ABSOLUTE VALUE OF GRAVITY AT POTSDAM Ms APPLICATION OF GRAVITY SURVEYS J42 SUMMARY 346 Victor F. Lenzen and Robert P. Multhauf DEVELOPMENT OF Paris, France Latitude 49° N Cayenne, South America Latitude 5° N Figure i. —A study of the figure of the earth was one of the earliest projects of the French Academy of Sciences. In order to test the effect of the earth's rotation on its gravitational force, the Academy in 1672 sent Jean Richer to the equatorial island of Cayenne to compare the rale of a clock which was known to have kept accurate time in Paris. Richer found that the clock lost 2 minutes and 28 seconds at Cayenne, indicating a substantial decrease in the force of gravity on the pendulum. Subsequent pendulum experiments revealed that the period of a pendulum varied not only with the latitude but also regionally, under the inlluence ol topographical features such as mountains. It became clear that the measurement of gravity should be made a part of the work of the geodetic surveyor. GRAVITY PENDULUMS IN THE 19th CENTURY The history of gravity pendulums dates back to the time of Galileo.