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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. -
Cotton Mather's Relationship to Science
Georgia State University ScholarWorks @ Georgia State University English Theses Department of English 4-16-2008 Cotton Mather's Relationship to Science James Daniel Hudson Follow this and additional works at: https://scholarworks.gsu.edu/english_theses Part of the English Language and Literature Commons Recommended Citation Hudson, James Daniel, "Cotton Mather's Relationship to Science." Thesis, Georgia State University, 2008. https://scholarworks.gsu.edu/english_theses/33 This Thesis is brought to you for free and open access by the Department of English at ScholarWorks @ Georgia State University. It has been accepted for inclusion in English Theses by an authorized administrator of ScholarWorks @ Georgia State University. For more information, please contact [email protected]. COTTON MATHER’S RELATIONSHIP TO SCIENCE by JAMES DANIEL HUDSON Under the Direction of Dr. Reiner Smolinski ABSTRACT The subject of this project is Cotton Mather’s relationship to science. As a minister, Mather’s desire to harmonize science with religion is an excellent medium for understanding the effects of the early Enlightenment upon traditional views of Scripture. Through “Biblia Americana” and The Christian Philosopher, I evaluate Mather’s effort to relate Newtonian science to the six creative days as recorded in Genesis 1. Chapter One evaluates Mather’s support for the scientific theories of Isaac Newton and his reception to natural philosophers who advocate Newton’s theories. Chapter Two highlights Mather’s treatment of the dominant cosmogonies preceding Isaac Newton. The Conclusion returns the reader to Mather’s principal occupation as a minister and the limits of science as informed by his theological mind. Through an exploration of Cotton Mather’s views on science, a more comprehensive understanding of this significant early American and the ideological assumptions shaping his place in American history is realized. -
Of Gods and Kings: Natural Philosophy and Politics in the Leibniz-Clarke Disputes Steven Shapin Isis, Vol. 72, No. 2. (Jun., 1981), Pp
Of Gods and Kings: Natural Philosophy and Politics in the Leibniz-Clarke Disputes Steven Shapin Isis, Vol. 72, No. 2. (Jun., 1981), pp. 187-215. Stable URL: http://links.jstor.org/sici?sici=0021-1753%28198106%2972%3A2%3C187%3AOGAKNP%3E2.0.CO%3B2-C Isis is currently published by The University of Chicago Press. Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/journals/ucpress.html. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. The JSTOR Archive is a trusted digital repository providing for long-term preservation and access to leading academic journals and scholarly literature from around the world. The Archive is supported by libraries, scholarly societies, publishers, and foundations. It is an initiative of JSTOR, a not-for-profit organization with a mission to help the scholarly community take advantage of advances in technology. For more information regarding JSTOR, please contact [email protected]. http://www.jstor.org Mon Aug 20 10:29:37 2007 Of Gods and Kings: Natural Philosophy and Politics in the Leibniz-Clarke Disputes By Steven Shapin* FTER TWO AND A HALF CENTURIES the Newton-Leibniz disputes A continue to inflame the passions. -
Caroline, Leibniz, and Clarke Author(S): D. Bertoloni Meli Source: Journal of the History of Ideas, Vol
Caroline, Leibniz, and Clarke Author(s): D. Bertoloni Meli Source: Journal of the History of Ideas, Vol. 60, No. 3 (Jul., 1999), pp. 469-486 Published by: University of Pennsylvania Press Stable URL: http://www.jstor.org/stable/3654014 . Accessed: 22/02/2011 14:57 Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at . http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at . http://www.jstor.org/action/showPublisher?publisherCode=upenn. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. University of Pennsylvania Press is collaborating with JSTOR to digitize, preserve and extend access to Journal of the History of Ideas. http://www.jstor.org Caroline, Leibniz, and Clarke D. Bertoloni Meli The papers which passed between Leibniz and Clarke from 1715 to 1716 have long been considered classics in the history of science and philosophy, attractinga largenumber of scholarlyworks. -
University of Pennsylvania Press
University of Pennsylvania Press Newtonian Science, Miracles, and the Laws of Nature Author(s): Peter Harrison Source: Journal of the History of Ideas, Vol. 56, No. 4 (Oct., 1995), pp. 531-553 Published by: University of Pennsylvania Press Stable URL: http://www.jstor.org/stable/2709991 Accessed: 30-10-2015 01:34 UTC Your use of the JSTOR archive indicates your acceptance of the Terms & Conditions of Use, available at http://www.jstor.org/page/ info/about/policies/terms.jsp JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. For more information about JSTOR, please contact [email protected]. University of Pennsylvania Press is collaborating with JSTOR to digitize, preserve and extend access to Journal of the History of Ideas. http://www.jstor.org This content downloaded from 130.102.42.98 on Fri, 30 Oct 2015 01:34:15 UTC All use subject to JSTOR Terms and Conditions NewtonianScience, Miracles, andthe Laws ofNature PeterHarrison Introduction "Newton,"writes Richard Westfall, "both believed in and did not believe in miracles."It can onlybe concluded,Westfall continues, that the greatscientist, unwilling to relinquishhis beliefin a providentialand inter- posingDeity, "abandoned himself to ambiguitiesand inconsistencies,which gave theappearance of divine participation in nature,but not the substance."' Newton'sapparent ambivalence -
The Leibnizian-Newtonian Debates: Natural Philosophy and Social Psychology
The British Society for the History of Science !"#$%#&'(&)&*(+,#-./(&*($0#'*.#12$,*.34*5$6"&5/1/7"8$*(9$:/;&*5$618;"/5/<8 =3."/4>1?2$@*4/58($A5.&1 :/34;#2$!"#$B4&.&1"$C/34(*5$D/4$."#$E&1./48$/D$:;&#(;#F$G/5H$IF$,/H$J$>0#;HF$KLMN?F$77H$NJN+NMM 63'5&1"#9$'82$@*O'4&9<#$P(&Q#41&.8$64#11$/($'#"*5D$/D$!"#$B4&.&1"$:/;&#.8$D/4$."#$E&1./48 /D$:;&#(;# :.*'5#$PR%2$http://www.jstor.org/stable/4025501 =;;#11#92$KSTUITVUKU$VV2WS Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/page/info/about/policies/terms.jsp. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use. Please contact the publisher regarding any further use of this work. Publisher contact information may be obtained at http://www.jstor.org/action/showPublisher?publisherCode=cup. Each copy of any part of a JSTOR transmission must contain the same copyright notice that appears on the screen or printed page of such transmission. JSTOR is a not-for-profit service that helps scholars, researchers, and students discover, use, and build upon a wide range of content in a trusted digital archive. We use information technology and tools to increase productivity and facilitate new forms of scholarship. -
Mathematical Language and Mathematical Progress by Eberhard Knobloch
Mathematical language and mathematical progress By Eberhard Knobloch In 1972 the space probe Pioneer 10 was launched, carrying a plaque which contains the first message of mankind to leave our solar system1: The space probe is represented by a circular segment and a rectangle designed on the same scale as that of the man and the woman. This is not true of the solar system: sun and planets are represented by small circles and points. We do not know whether there are other intelligent beings living on stars in the universe, or whether they will even understand the message. But the non-verbal, the symbolical language of geometry seemed to be more appropriate than any other language. The grammar of any ordinary language is so complicated that still every computer breaks down with regards to it. 1 Karl Märker, "Sind wir allein im Weltall? Kosmos und Leben", in: Astronomie im Deutschen Museum, Planeten - Sterne - Welteninseln, hrsg. von Gerhard Hartl, Karl Märker, Jürgen Teichmann, Gudrun Wolfschmidt (München: Deutsches Museum, 1993), p. 217. [We reproduce the image of the plaque from: http://en.wikipedia.org/wiki/Pioneer_plaque ; Karine Chemla] 1 The famous Nicholas Bourbaki wrote in 19482: "It is the external form which the mathematician gives to his thought, the vehicle which makes it accessible to others, in short, the language suited to mathematics; this is all, no further significance should be attached to it". Bourbaki added: "To lay down the rules of this language, to set up its vocabulary and to clarify its syntax, all that is indeed extremely useful." But it was only the least interesting aspect of the axiomatic method for him. -
Watson-The Rise of Pilo-Semitism
The Rise of Philo-Semitism and Premillenialism during the Seventeenth and Eighteenth Centuries By William C. Watson, Colorado Christian University Let me therefore beg of thee not to trust to the opinion of any man… But search the scriptures thyself… understanding the sacred prophecies and the danger of neglecting them is very great and the obligation to study them is as great may appear by considering the case of the Jews at the coming of Christ. For the rules whereby they were to know their Messiah were the prophecies of the old Testament… It was the ignorance of the Jews in these Prophecies which caused them to reject their Messiah… If it was their duty to search diligently into those Prophecies: why should we not think that the Prophecies which concern the latter times into which we have fallen were in like manner intended for our use that in the midst of Apostasies we might be able to discern the truth and be established in the faith…it is also our duty to search with all diligence into these Prophecies. If God was so angry with the Jews for not searching more diligently into the Prophecies which he had given them to know Christ by: why should we think he will excuse us for not searching into the Prophecies which he had given us to know Antichrist by? … They will call you a Bigot, a Fanatic, a Heretic, and tell thee of the uncertainty of these interpretations [but] greater judgments hang over the Christians for their remises than ever the Jews felt. -
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. -
Benjamin Hoadly, Samuel Clarke, and the Ethics of the Bangorian Controversy: Church, State, and the Moral Law
religions Article Benjamin Hoadly, Samuel Clarke, and the Ethics of the Bangorian Controversy: Church, State, and the Moral Law Dafydd Mills Daniel Faculty of Theology and Religion, University of Oxford, Oxford OX2 6GG, UK; [email protected] Received: 30 September 2020; Accepted: 28 October 2020; Published: 12 November 2020 Abstract: The Bangorian controversy has been described as ‘the most bitter ideological conflict of the [eighteenth] century’ (J.C.D. Clark). However, while its impact is widely recognised, there are few studies dedicated to the controversy itself. Moreover, the figure at the centre of it all—Benjamin Hoadly, the Bishop of Bangor—has not always been taken seriously. Such scholars as Norman Sykes, G.R. Cragg, and B.W. Young have dismissed Hoadly as an opportunistic ‘political bishop’, rather than an adept theological thinker. By contrast, this article demonstrates that Hoadly’s Bangorian writings were embedded within the ethical rationalist moral theology of Isaac Newton’s friend, and defender against Gottfried Leibniz, Samuel Clarke. As a follower of Clarke, Hoadly objected to the doctrine of apostolic succession, and to the existence of religious conformity laws in Church and state, because they prevented Christianity from being what he thought it ought to be: a religion of conscience. Keywords: Benjamin Hoadly; Samuel Clarke; Bangorian controversy; religious conformity laws; conscience; ethical rationalism; church and state; moral and political theology; early English Enlightenment; Low and High Church Anglicanism 1. Introduction The Bangorian controversy followed publication of a 1717 sermon, ‘The Nature of the Kingdom of Christ’ by Benjamin Hoadly, Bishop of Bangor. -
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.