Teologia, Fé E Razão Em Isaac Newton
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Mathematics in the Modern Age - the 18Th Century: Crossing Bridges Transcript
Mathematics in the modern age - The 18th century: Crossing bridges Transcript Date: Wednesday, 4 October 2006 - 12:00AM Location: Barnard's Inn Hall MATHEMATICS IN THE MODERN AGE - THE 18TH CENTURY: CROSSING BRIDGES Professor Robin Wilson Introduction After Isaac Newton had published his celebrated PrincipiaMathematicain 1687 – the book that explained gravitation and how the planets move – his life changed for ever, and in a way that would also affect the nature of British mathematics for the next 150 years or so. His book was highly praised in Britain, even though few people could understand it, and the reclusive Newton was now a public figure. After spending a year as an ineffective Member of Parliament for Cambridge University – apparently he spoke only once, and that was to ask an official to open a window – Newton became Warden, and later Master, of the Royal Mint, living in the Tower of London, supervising the minting of coins, and punishing counterfeiters. He had now left Cambridge for good. In 1703 Newton’s arch-rival Robert Hooke died, with repercussions for both Gresham College where he was Gresham Professor of Geometry, and the Royal Society which still held its meetings in Sir Thomas Gresham’s former house. The rebuilding of the Royal Exchange after the Great Fire of 1666 had been costly, and attendances at Gresham lectures were then sparse, so proposals were made to save money by rebuilding the College on a smaller scale. Parliament was petitioned for approval, with only Robert Hooke, now frail and the only professor resident in the College, holding out against the plans. -
Cavendish the Experimental Life
Cavendish The Experimental Life Revised Second Edition Max Planck Research Library for the History and Development of Knowledge Series Editors Ian T. Baldwin, Gerd Graßhoff, Jürgen Renn, Dagmar Schäfer, Robert Schlögl, Bernard F. Schutz Edition Open Access Development Team Lindy Divarci, Georg Pflanz, Klaus Thoden, Dirk Wintergrün. The Edition Open Access (EOA) platform was founded to bring together publi- cation initiatives seeking to disseminate the results of scholarly work in a format that combines traditional publications with the digital medium. It currently hosts the open-access publications of the “Max Planck Research Library for the History and Development of Knowledge” (MPRL) and “Edition Open Sources” (EOS). EOA is open to host other open access initiatives similar in conception and spirit, in accordance with the Berlin Declaration on Open Access to Knowledge in the sciences and humanities, which was launched by the Max Planck Society in 2003. By combining the advantages of traditional publications and the digital medium, the platform offers a new way of publishing research and of studying historical topics or current issues in relation to primary materials that are otherwise not easily available. The volumes are available both as printed books and as online open access publications. They are directed at scholars and students of various disciplines, and at a broader public interested in how science shapes our world. Cavendish The Experimental Life Revised Second Edition Christa Jungnickel and Russell McCormmach Studies 7 Studies 7 Communicated by Jed Z. Buchwald Editorial Team: Lindy Divarci, Georg Pflanz, Bendix Düker, Caroline Frank, Beatrice Hermann, Beatrice Hilke Image Processing: Digitization Group of the Max Planck Institute for the History of Science Cover Image: Chemical Laboratory. -
BURROUGHS, Jeremiah, 1599-1646 I 656 a Sermon Preached Before the Right Honourable the House of Peeres in the Abbey at Westminster, the 26
BURROUGHS, Jeremiah, 1599-1646 I 656 A sermon preached before the Right Honourable the House of Peeres in the Abbey at Westminster, the 26. of November, 1645 / by Jer.Burroughus. - London : printed for R.Dawlman, 1646. -[6],48p.; 4to, dedn. - Final leaf lacking. Bound with r the author's Moses his choice. London, 1650. 1S. SERMONS BURROUGHS, Jeremiah, 1599-1646 I 438 Sions joy : a sermon preached to the honourable House of Commons assembled in Parliament at their publique thanksgiving September 7 1641 for the peace concluded between England and Scotland / by Jeremiah Burroughs. London : printed by T.P. and M.S. for R.Dawlman, 1641. - [8],64p.; 4to, dedn. - Bound with : Gauden, J. The love of truth and peace. London, 1641. 1S.SERMONS BURROUGHS, Jeremiah, 1599-1646 I 656 Sions joy : a sermon preached to the honourable House of Commons, September 7.1641, for the peace concluded between England and Scotland / by Jeremiah Burroughs. - London : printed by T.P. and M.S. for R.Dawlman, 1641. -[8],54p.; 4to, dedn. - Bound with : the author's Moses his choice. London, 1650. 1S.SERMONS BURT, Edward, fl.1755 D 695-6 Letters from a gentleman in the north of Scotland to his friend in London : containing the description of a capital town in that northern country, likewise an account of the Highlands. - A new edition, with notes. - London : Gale, Curtis & Fenner, 1815. - 2v. (xxviii, 273p. : xii,321p.); 22cm. - Inscribed "Caledonian Literary Society." 2.A GENTLEMAN in the north of Scotland. 3S.SCOTLAND - Description and travel I BURTON, Henry, 1578-1648 K 140 The bateing of the Popes bull] / [by HenRy Burton], - [London?], [ 164-?]. -
Mind Almost Divine’ Kevin C
Cambridge University Press 978-0-521-66310-6 - From Newton to Hawking: A History of Cambridge University’s Lucasian Professors of Mathematics Edited by Kevin C. Knox and Richard Noakes Excerpt More information Introduction: ‘Mind almost divine’ Kevin C. Knox1 and Richard Noakes2 1Institute Archives, California Institute of Technology, Pasadena, CA, USA 2Department of History of Philosophy of Science, Cambridge, UK Whosoever to the utmost of his finite capacity would see truth as it has actually existed in the mind of God from all eternity, he must study Mathematics more than Metaphysics. Nicholas Saunderson, The Elements of Algebra1 As we enter the twenty-first century it might be possible to imag- ine the world without Cambridge University’s Lucasian professors of mathematics. It is, however, impossible to imagine our world with- out their profound discoveries and inventions. Unquestionably, the work of the Lucasian professors has ‘revolutionized’ the way we think about and engage with the world: Newton has given us universal grav- itation and the calculus, Charles Babbage is touted as the ‘father of the computer’, Paul Dirac is revered for knitting together quantum mechanics and special relativity and Stephen Hawking has provided us with startling new theories about the origin and fate of the uni- verse. Indeed, Newton, Babbage, Dirac and Hawking have made the Lucasian professorship the most famous academic chair in the world. While these Lucasian professors have been deified and placed in the pantheon of scientific immortals, eponymity testifies to the eminence of the chair’s other occupants. Accompanying ‘Newton’s laws of motion’, ‘Babbage’s principle’ of political economy, the ‘Dirac delta function’ and ‘Hawking radiation’, we have, among other things, From Newton to Hawking: A History of Cambridge University’s Lucasian Professors of Math- ematics, ed. -
Thomas Colby's Book Collection
12 Thomas Colby’s book collection Bill Hines Amongst the special collections held by Aberystwyth University Library are some 140 volumes from the library of Thomas Colby, one time Director of the Ordnance Survey, who was responsible for much of the initial survey work in Scotland and Ireland. Although the collection is fairly small, it nonetheless provides a fascinating insight into the working practices of the man, and also demonstrates the regard in which he was held by his contemporaries, many of them being eminent scientists and engineers of the day. Thomas Colby was born in 1784, the son of an officer in the Royal Marines. He was brought up by his aunts in Pembrokeshire and later attended the Royal Military Academy at Woolwich, becoming a Second Lieutenant in the Royal Engineers in December 1801.1 He came to the notice of Major William Mudge, the then Director of the Ordnance Survey, and was engaged on survey work in the south of England. In 1804 he suffered a bad accident from the bursting of a loaded pistol and lost his left hand. However, this did not affect his surveying activity and he became chief executive officer of the Survey in 1809 when Mudge was appointed as Lieutenant Governor at Woolwich. During the next decade he was responsible for extensive surveying work in Scotland and was also involved in troublesome collaboration with French colleagues after the end of the Napoleonic Wars, connecting up the meridian arcs of British and French surveys. Colby was made head of the Ordnance Survey in 1820, after the death of Mudge, and became a Fellow of the Royal Society in the same year. -
Where, Oh Waring? the Classic Problem and Its Extensions
Where, Oh Waring? The Classic Problem and its Extensions Brian D. Beasley Presbyterian College, Clinton, SC Brian Beasley (B.S., Emory University; M.S., University of North Carolina; Ph.D., University of South Carolina) has taught at Pres- byterian College since 1988. He became a member of the Mathe- matical Association of America in 1989 and joined ACMS in 2007. Outside the classroom, Brian enjoys family time with his wife and two sons. He is an enthusiastic Scrabble player, a not-so-avid jog- ger, and a very shaky unicyclist. In the 2009-2010 academic year, one of our mathematics majors, Olivia Hightower, became interested in the history of Edward Waring and his famous conjecture about expressing positive integers as the sum of kth powers. Olivia's investigation eventually led to her honors project on Waring's Problem, in which she focused on the history of the conjecture, the eventual proof that all positive integers may be written as the sum of at most nine cubes, and the work of Hardy and Wright in establishing lower bounds in the case of sufficiently large integers. Her research renewed her professor's own interest in Waring, leading to the following article. This paper will sketch brief outlines of Waring's life and the history behind the eventual solution to his problem. In addition, it will present some of the related questions currently being studied, such as expressing sufficiently large integers as sums of powers, sums of powers of primes, and sums of unlike powers. We begin with a short summary of the biography of Edward Waring. -
Downloadedcambridge from Cambridge Companions Companions Online by ©IP Cambridge130.132.173.15 Universityon Wed Jun 05 Press, 15:31:00 2006 WEST 2013
Each volume of this series of companions to major philoso phers contains specially commissioned essays by an interna tional team of scholars, together with a substantial bibliog raphy, and will serve as a reference work for students and nonspecialists. One aim of the series is to dispel the intimi dation such readers often feel when faced with the work of a difficult and challenging thinker. John Locke, the founder of British empiricism, was also the seventeenth century's staunchest defender of reason in religion and politics. His Essay concerningHuman Under standing influenced eighteenth-century thought more pro foundly than any book save the Bible; his Two Tr eatises of Government helped inspire the American and French revo lutions; and much of his work is pertinent to current intel lectual and social problems. The essays in this volume pro vide a systematic survey of Locke's philosophy, informed by the most recent scholarship. They cover Locke's theory of ideas, his philosophies of body, mind, language, and religion, his theory of knowledge, his ethics, and his political philos ophy. There are also chapters on Locke's life and times and subsequent influence. New readers and nonspecialists will find this the most convenient and accessible guide to Locke currently avail able. Advanced students and specialists will find a conspec tus of recent developments in the interpretation of Locke's philosophy. DownloadedCambridge from Cambridge Companions Companions Online by ©IP Cambridge130.132.173.15 Universityon Wed Jun 05 Press, 15:31:00 2006 WEST 2013. http://dx.doi.org/10.1017/CCOL0521383714.013 Cambridge Companions Online © Cambridge University Press, 2013 THE CAMBRIDGE COMPANION TO LOCKE DownloadedCambridge from Cambridge Companions Companions Online by ©IP Cambridge130.132.173.15 Universityon Wed Jun 05 Press, 15:31:00 2006 WEST 2013. -
Blind Mathematicians
The World of Blind Mathematicians A visitor to the Paris apartment of the blind geome- able to resort to paper and pencil, Lawrence W. ter Bernard Morin finds much to see. On the wall Baggett, a blind mathematician at the University of in the hallway is a poster showing a computer- Colorado, remarked modestly, “Well, it’s hard to do generated picture, created by Morin’s student for anybody.” On the other hand, there seem to be François Apéry, of Boy’s surface, an immersion of differences in how blind mathematicians perceive the projective plane in three dimensions. The sur- their subject. Morin recalled that, when a sighted face plays a role in Morin’s most famous work, his colleague proofread Morin’s thesis, the colleague visualization of how to turn a sphere inside out. had to do a long calculation involving determi- Although he cannot see the poster, Morin is happy nants to check on a sign. The colleague asked Morin to point out details in the picture that the visitor how he had computed the sign. Morin said he must not miss. Back in the living room, Morin grabs replied: “I don’t know—by feeling the weight of the a chair, stands on it, and feels for a box on top of thing, by pondering it.” a set of shelves. He takes hold of the box and climbs off the chair safely—much to the relief of Blind Mathematicians in History the visitor. Inside the box are clay models that The history of mathematics includes a number of Morin made in the 1960s and 1970s to depict blind mathematicians. -
Contents More Information
Cambridge University Press 978-0-521-66310-6 - From Newton to Hawking: A History of Cambridge University’s Lucasian Professors of Mathematics Edited by Kevin C. Knox and Richard Noakes Table of Contents More information Contents List of illustrations page vii List of contributors xiii Foreword xvii stephen hawking Preface xxi Timeline of the Lucasian professorship xxv Introduction: ‘Mind almost divine’ 1 kevin c. knox and richard noakes 1 Isaac Barrow and the foundation of the Lucasian professorship 45 mordechai feingold 2 ‘Very accomplished mathematician, philosopher, chemist’: Newton as Lucasian professor 69 rob iliffe 3 Making Newton easy: William Whiston in Cambridge and London 135 stephen d. snobelen and larry stewart 4 Sensible Newtonians: Nicholas Saunderson and John Colson 171 john gascoigne 5 The negative side of nothing: Edward Waring, Isaac Milner and Newtonian values 205 kevin c. knox © Cambridge University Press www.cambridge.org Cambridge University Press 978-0-521-66310-6 - From Newton to Hawking: A History of Cambridge University’s Lucasian Professors of Mathematics Edited by Kevin C. Knox and Richard Noakes Table of Contents More information vi contents 6 Paper and brass: the Lucasian professorship 1820–39 241 simon schaffer 7 Arbiters of Victorian science: George Gabriel Stokes and Joshua King 295 david b. wilson 8 ‘That universal æthereal plenum’: Joseph Larmor’s natural history of physics 343 andrew warwick 9 Paul Dirac: the purest soul in an atomic age 387 helge kragh 10 Is the end in sight for the Lucasian chair? Stephen Hawking as Millennium Professor 425 h´el`ene mialet Appendix The statutes of the Lucasian professorship: a translation 461 ian stewart Index 475 © Cambridge University Press www.cambridge.org. -
Introduction: 'Mind Almost Divine'
Cambridge University Press 978-0-521-66310-6 - From Newton to Hawking: A History of Cambridge University’s Lucasian Professors of Mathematics Edited by Kevin C. Knox and Richard Noakes Excerpt More information Introduction: ‘Mind almost divine’ Kevin C. Knox1 and Richard Noakes2 1Institute Archives, California Institute of Technology, Pasadena, CA, USA 2Department of History of Philosophy of Science, Cambridge, UK Whosoever to the utmost of his finite capacity would see truth as it has actually existed in the mind of God from all eternity, he must study Mathematics more than Metaphysics. Nicholas Saunderson, The Elements of Algebra1 As we enter the twenty-first century it might be possible to imag- ine the world without Cambridge University’s Lucasian professors of mathematics. It is, however, impossible to imagine our world with- out their profound discoveries and inventions. Unquestionably, the work of the Lucasian professors has ‘revolutionized’ the way we think about and engage with the world: Newton has given us universal grav- itation and the calculus, Charles Babbage is touted as the ‘father of the computer’, Paul Dirac is revered for knitting together quantum mechanics and special relativity and Stephen Hawking has provided us with startling new theories about the origin and fate of the uni- verse. Indeed, Newton, Babbage, Dirac and Hawking have made the Lucasian professorship the most famous academic chair in the world. While these Lucasian professors have been deified and placed in the pantheon of scientific immortals, eponymity testifies to the eminence of the chair’s other occupants. Accompanying ‘Newton’s laws of motion’, ‘Babbage’s principle’ of political economy, the ‘Dirac delta function’ and ‘Hawking radiation’, we have, among other things, From Newton to Hawking: A History of Cambridge University’s Lucasian Professors of Math- ematics, ed. -
A Calendar of Mathematical Dates January
A CALENDAR OF MATHEMATICAL DATES V. Frederick Rickey Department of Mathematical Sciences United States Military Academy West Point, NY 10996-1786 USA Email: fred-rickey @ usma.edu JANUARY 1 January 4713 B.C. This is Julian day 1 and begins at noon Greenwich or Universal Time (U.T.). It provides a convenient way to keep track of the number of days between events. Noon, January 1, 1984, begins Julian Day 2,445,336. For the use of the Chinese remainder theorem in determining this date, see American Journal of Physics, 49(1981), 658{661. 46 B.C. The first day of the first year of the Julian calendar. It remained in effect until October 4, 1582. The previous year, \the last year of confusion," was the longest year on record|it contained 445 days. [Encyclopedia Brittanica, 13th edition, vol. 4, p. 990] 1618 La Salle's expedition reached the present site of Peoria, Illinois, birthplace of the author of this calendar. 1800 Cauchy's father was elected Secretary of the Senate in France. The young Cauchy used a corner of his father's office in Luxembourg Palace for his own desk. LaGrange and Laplace frequently stopped in on business and so took an interest in the boys mathematical talent. One day, in the presence of numerous dignitaries, Lagrange pointed to the young Cauchy and said \You see that little young man? Well! He will supplant all of us in so far as we are mathematicians." [E. T. Bell, Men of Mathematics, p. 274] 1801 Giuseppe Piazzi (1746{1826) discovered the first asteroid, Ceres, but lost it in the sun 41 days later, after only a few observations. -
In Newton's Long Shadow
books and arts plained initial condition. Today, however, ing provide the key theoretical for why technological progress ON there is a ready explanation in the form of the element for computing will occur at such a pace ‘inflationary Universe’ scenario, involving a machines, he helped to that machine intelligence burst of frenetic expansion shortly after the build one of the first will surpass the human cosmic origin.Any pre-existing irregularities electronic computers, variety within a few would have been smoothed away by this in Manchester, UK, decades. abrupt and huge swelling of space. shortly after the On the principle This pleasing conclusion immediately Second World War. that no book is per- begs the question of what preceded inflation This book is the fect, I have to admit TIONAL PORTRAIT GALLERY, PORTRAIT LOND TIONAL and why it happened at all — which provides outgrowth of a to one small quib- NA a convenient jumping-off point for Greene workshop held in ble. Given Turing’s to embark on a discussion of the physics of Lausanne,Switzer- great interest in bio- unification.This is familiar territory for him, land, in June 2002 logical processes, as he is first and foremost a string theorist.He to honour the especially near the treats the reader to a review of the current ninetieth anniver- end of his life, and state of string/M theory, with digressions sary of Turing’s birth his pioneering work into a bewildering array of topics including on 23 June 1912. on what we now call higher dimensions, brane worlds, the holo- Turing’s work was so mathematical biology, graphic paradigm,teleportation,wormholes broad and deep that I was disappointed to and time travel.