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1 Chapter 4 Nationalist Scientists Three Different Surveys, Quoted At
Chapter 4 Nationalist Scientists Three different surveys, quoted at the start of an earlier chapter, found that the majority of nineteenth-century Irish scientists had Ascendancy backgrounds; the estimated proportion of Catholics is somewhere around the 10% to 15% mark. 1 This is not negligible, but it is well below the 70% to 75% of the Irish population who were Catholics. Some writers have suggested that either the Roman Catholic Church, or Irish Nationalism, or perhaps both, were in some way responsible for inhibiting the growth of science among their respective followers before 1921 and for stunting it afterwards. So for instance John Wilson Foster writes of ‘the calculated exclusion of science, particularly natural science, by the architects of the Irish Cultural Revival around the turn of the century’ 2. Roy Johnston blames religion rather than politics: Cardinal Cullen blocked Catholics from going to the ‘Godless Colleges’, and access to scientific technology for the sons of the rising Catholic bourgeoisie was severely restricted for the next 50 years, until the NUI was set up… Protestant predominance in 19th century Irish science must be attributed to Cardinal Cullen. [Nicholas] Callan showed what the potential was, and it was strangled at birth. 3 This thesis has argued that the picture is considerably more complex. The extent to which discrimination against Catholics existed in the institutions of the Ascendancy has been demonstrated previously. While Johnston is right to point out that a crucial factor in discouraging Catholics from following scientific careers was the lack of an education system which they were prepared to buy into, this chapter will suggest that the responsibility for this state of affairs was more widely shared. -
Sir Bertram Windle (1858–1929)
SIR BERTRAM WINDLE (1858—1929) Author(s): JOHN J. HORGAN Reviewed work(s): Source: Hermathena, No. 94 (July 1960), pp. 3-20 Published by: Trinity College Dublin Stable URL: http://www.jstor.org/stable/23040121 . Accessed: 20/11/2012 09:46 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]. Trinity College Dublin is collaborating with JSTOR to digitize, preserve and extend access to Hermathena. http://www.jstor.org This content downloaded by the authorized user from 192.168.52.70 on Tue, 20 Nov 2012 09:46:03 AM All use subject to JSTOR Terms and Conditions HERMATHENA SIR BERTRAM WINDLE (1858-1929).1 Some men touch life at many points making each contact with equal facility. Sir Bertram Win die, of whom I am to speak in this discourse, was of that brilliant company. Anatomist, administrator, archaeologist, scientist, educationalist and writer, in each of these fields he was a distinguished and distinctive figure. Such remarkable versatility may perhaps excuse the intervention of one who is none of these things, and whose main qualification to undertake this pious duty is a close association with Windle during his time in Ireland. -
Fermat's Dilemma: Why Did He Keep Mum on Infinitesimals? and The
FERMAT’S DILEMMA: WHY DID HE KEEP MUM ON INFINITESIMALS? AND THE EUROPEAN THEOLOGICAL CONTEXT JACQUES BAIR, MIKHAIL G. KATZ, AND DAVID SHERRY Abstract. The first half of the 17th century was a time of in- tellectual ferment when wars of natural philosophy were echoes of religious wars, as we illustrate by a case study of an apparently innocuous mathematical technique called adequality pioneered by the honorable judge Pierre de Fermat, its relation to indivisibles, as well as to other hocus-pocus. Andr´eWeil noted that simple appli- cations of adequality involving polynomials can be treated purely algebraically but more general problems like the cycloid curve can- not be so treated and involve additional tools–leading the mathe- matician Fermat potentially into troubled waters. Breger attacks Tannery for tampering with Fermat’s manuscript but it is Breger who tampers with Fermat’s procedure by moving all terms to the left-hand side so as to accord better with Breger’s own interpreta- tion emphasizing the double root idea. We provide modern proxies for Fermat’s procedures in terms of relations of infinite proximity as well as the standard part function. Keywords: adequality; atomism; cycloid; hylomorphism; indi- visibles; infinitesimal; jesuat; jesuit; Edict of Nantes; Council of Trent 13.2 Contents arXiv:1801.00427v1 [math.HO] 1 Jan 2018 1. Introduction 3 1.1. A re-evaluation 4 1.2. Procedures versus ontology 5 1.3. Adequality and the cycloid curve 5 1.4. Weil’s thesis 6 1.5. Reception by Huygens 8 1.6. Our thesis 9 1.7. Modern proxies 10 1.8. -
Cavalieri's Method of Indivisibles
Cavalieri's Method of Indivisibles KIRSTI ANDERSEN Communicated by C. J. SCRIBA & OLAF PEDERSEN BONAVENTURA CAVALIERI(Archivio Fotografico dei Civici Musei, Milano) 292 K. ANDERSEN Contents Introduction ............................... 292 I. The Life and Work of Cavalieri .................... 293 II. Figures .............................. 296 III. "All the lines" . .......................... 300 IV. Other omnes-concepts ........................ 312 V. The foundation of Cavalieri's collective method of indivisibles ...... 315 VI. The basic theorems of Book II of Geometria .............. 321 VII. Application of the theory to conic sections ............... 330 VIII. Generalizations of the omnes-concept ................. 335 IX. The distributive method ....................... 348 X. Reaction to Cavalieri's method and understanding of it ......... 353 Concluding remarks ........................... 363 Acknowledgements ............................ 364 List of symbols ............................. 364 Literature ................................ 365 Introduction CAVALIERI is well known for the method of indivisibles which he created during the third decade of the 17 th century. The ideas underlying this method, however, are generally little known.' This almost paradoxical situation is mainly caused by the fact that authors dealing with the general development of analysis in the 17 th century take CAVALIERI as a natural starting point, but do not discuss his rather special method in detail, because their aim is to trace ideas about infinites- imals. There has even been a tendency to present the foundation of his method in a way which is too simplified to reflect CAVALIERI'S original intentions. The rather vast literature, mainly in Italian, explicitly devoted to CAVALIERI does not add much to a general understanding of CAVALIERI'Smethod of indivi- sibles, because most of these studies either presuppose a knowledge of the method or treat specific aspects of it. -
How a Dangerous Mathematical Theory Shaped the Modern World
it. As Clavius points out in the “Prolegomena,” it was the sturdiest edifice in the kingdom of knowledge. For a taste of the Euclidean method, consider Euclid’s proof of proposition 32 in book 1: that the sum of the angles of any triangle is equal to two right angles—or, as we would say, 180 degrees. Euclid, at this point, has already proven that when a straight line falls on two parallel lines, it creates the same angles with one parallel line as with the other (book 1, proposition 29). He makes good use of this theorem here: Proposition 32: In any triangle, if one of the sides be produced, the exterior angle is equal to the two interior and opposite angles, and the three interior angles of the triangle are equal to two right angles. Proof: Let ABC be a triangle and let one side of it be produced to D. I say that the exterior angle ACD is equal to the two interior and opposite angles CAB, ABC, and the three interior angles of the triangle, ABC, BCA, CAB, are equal to two right angles. Figure 2.1. The sum of the angles in a triangle. 92 This was Salviati’s (Galileo’s) theory of matter, and as he himself admitted, it was a difficult one. “What a sea we are slipping into without knowing it!” Salviati exclaims at one point. “With vacua, and infinities, and indivisibles … shall we ever be able, even by means of a thousand discussions, to reach dry land?” Indeed, can a finite amount of material be composed of an infinite number of atoms and an infinite number of empty spaces? To prove his point that it could, he turned to mathematics. -
Bertram Coghill Alan Windle, F.R.S., F.S.A., K.S.G., M.D., LL.D., Ph.D., Sc.D
CCHA, Report, 25 (1958), 53-58 Bertram Coghill Alan Windle, F.R.S., F.S.A., K.S.G., M.D., LL.D., Ph.D., Sc.D. E. J. MCCORKELL, C.S.B., President, Pontifical Institute of Mediaeval Studies, Toronto, Ontario. Sir Bertram Windle, scientist, educationist, and apologist enriched our Canadian culture during the 1920’s to an extent which the historian can hardly ignore. Already St. Michael’s College in Toronto, where he spent the last ten years of his life as Professor of Anthropology, has acknowledged its debt to him in a public way. On May 8th last, which was the centenary of his birth, a solemn Mass was celebrated in the College chapel, and a commemorative address delivered. Windle’s years in Canada were, however, but the afterglow, admittedly a fruitful and impressive one, of a remarkable scientific and administrative career in the British Isles, where accordingly the centenary was also observed. Birmingham and Cork had debts to acknowledge similar to that of Toronto, some account of which must first be given if the significance of his work in Canada is to be made clear. It will then be seen that he came to this country carrying his sheaves for a final harvesting in our midst. Bertram Coghill Alan1 Windle was born on May 8, 1858, at Mayfield in Staffordshire, England, where his father was the Anglican vicar. He was of mixed English, Irish, and, more remotely, German ancestry, a circumstance which may account for his life-long interest in Ethnology, which began as a hobby and ultimately became a serious study, He had sufficient Irish blood to boil at the arrogance of assumed Nordic superiority, which was a fashion in pre-Hitler days. -
Principal Manuscript Sources Consulted Florence: Archivio Di
Principal manuscript sources consulted Florence: Archivio di Stato Carte Bardi, Serie II. 43, Anon., Filza miscellanea di memorie, studi, disegni di Astronomia, Architettura militare, Fortificazione etc, 17th century. Carte Bardi, Serie II. 83, [Galileo Galilei], Le Meccaniche del Galileo, mid-17th century copy. Carte Bardi, Serie II. 131, [D. Henrion], Trattati di geometria e fisica, 1623 Ceramelli Papiani 389: Tav. VIIIa [genealogical table of the Bardi family] Florence: Biblioteca Mediceo-Laurenziana Ashburnam 1217, Honoré Fabri, Synopsis recens Inventorum in Re Literaria et quibusdam aliis item comparationes literaria Auctore Honorato Fabri Societatis Jesu, c. 1669 Ashburnam 1312, [Trattati di Idraulica ecc.], c. 1699 Ashburnam 1450, [Libro di Rimedii e Segreti di Medicina], 17th century Ashburnam 1461, Lorenzo Incuria, Quaestiones Philosophicae in Libros Physicorum, 17th century Ashburnam 1811, [Lettere scritte a Vincenzo Viviani] Ashburnam 1818, [incl. letters to Lorenzo Magalotti] Redi 203, [Lettere scritte a Francesco Redi Aretino] Florence: Biblioteca Nazionale Centrale Manoscritti Galileiani 275 Manoscritti Galileiani 278 Manoscritti Galileiani 283 Manoscritti Galileiani 284 Florence: Biblioteca Riccardiana Riccardiani 2467 [incl. letters to Raffaello Magiotti] 352 Graz: Universitätsbibliothek Ms. 159 [letters to Paul Guldin] London: Archives of the Royal Society B I, no.99 Boyle Letters, VII, no. 56 D. 1, no. 18 EL. W3 no. 3 [copy in LBC 1 pp. 116-123] Malpighi Letters I, no. 8 MI, no.16 MM I, f.69 OB, no. 4 OB, no. 41 London: British Library Additional ms. 15,948 [incl. letters received by Samuel Hartlib] Additional ms. 22,804 [letters from Athanasius Kircher and Elio Loreti to Alessandro Segni, 1677/1678] Additional ms. -
And the Ends of Jesuit Science in Enlightenment Europe
Maximilian Hell (1720–92) and the Ends of Jesuit Science in Enlightenment Europe <UN> Jesuit Studies Modernity through the Prism of Jesuit History Editor Robert A. Maryks (Independent Scholar) Editorial Board James Bernauer, S.J. (Boston College) Louis Caruana, S.J. (Pontificia Università Gregoriana, Rome) Emanuele Colombo (DePaul University) Paul Grendler (University of Toronto, emeritus) Yasmin Haskell (University of Western Australia) Ronnie Po-chia Hsia (Pennsylvania State University) Thomas M. McCoog, S.J. (Loyola University Maryland) Mia Mochizuki (Independent Scholar) Sabina Pavone (Università degli Studi di Macerata) Moshe Sluhovsky (The Hebrew University of Jerusalem) Jeffrey Chipps Smith (The University of Texas at Austin) volume 27 The titles published in this series are listed at brill.com/js <UN> Maximilian Hell (1720–92) and the Ends of Jesuit Science in Enlightenment Europe By Per Pippin Aspaas László Kontler leiden | boston <UN> This is an open access title distributed under the terms of the CC-BY-NC-Nd 4.0 License, which permits any non-commercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited. The publication of this book in Open Access has been made possible with the support of the Central European University and the publication fund of UiT The Arctic University of Norway. Cover illustration: Silhouette of Maximilian Hell by unknown artist, probably dating from the early 1780s. (In a letter to Johann III Bernoulli in Berlin, dated Vienna March 25, 1780, Hell states that he is trying to have his silhouette made by “a person who is proficient in this.” The silhouette reproduced here is probably the outcome.) © Österreichische Nationalbibliothek. -
Michiel Florent Van Langren and Lunar Naming Peter Van Der Krogt, Ferjan Ormeling
ONOMÀSTICA BIBLIOTECA TÈCNICA DE POLÍTICA LINGÜÍSTICA Michiel Florent van Langren and Lunar Naming Peter van der Krogt, Ferjan Ormeling DOI: 10.2436/15.8040.01.190 Abstract Michiel Florent van Langren produced a lunar map in 1645 in order to present a way to mariners to find their position at sea by observing which craters were either illuminated by solar rays or obscured during the waxing or waning of the moon. This required a detailed map of the moon and in order to be able to refer to lunar objects these had to be named. The lunar map he produced in 1645 bore over 300 names, following the system of subdividing lunar topography into land masses and seas (a distinction based on Plutarch), and craters or peaks. He is therefore the pioneer of both selenography and selenonymy. His nomenclature had no lasting impact, although some 50 names he introduced are still used for other craters. The same negative result was obtained by Johannes Hevelius who introduced in 1647 his own naming system based on geographical names. It was the nomenclature proposed by a third astronomer, Giovanni Riccioli, shown on his lunar map produced in 1651 that won the day. From the 244 names Riccioli proposed on his lunar map, 201 are still in use. Nevertheless, despite Van Langren’s lack of success, from a toponymical point of view his methodology is interesting as it provides insight into the contemporary world view of a seventeenth century scientist who was dependant on sponsors to allow him to carry out his work and transform his theories into practical instructions. -
Paulus Guldin, 1577 - 1643, Jesuit Und Mathematiker
Erschienen in: Franz Pichler, Michael von Renteln (Hg.) ``Kosmisches Wissen von Peuerbach bis Laplace - Astronomie, Mathematik, Physik'', Peuerbach Symposium 2008, Seiten 101 – 120, Trauner Verlag Linz, 2009. ISBN 978-3-85499-449-7 Paulus Guldin, 1577 - 1643, Jesuit und Mathematiker. Detlef Gronau, Graz 0. Einleitung. 0.1 Ein Ölbild in Graz Abbildung 1: Portrait von Paulus Guldin, Universität Graz, Fachbibliothek Mathematik Dieses Ölgemälde ist ein Portrait von Paulus Guldin, Professor für Mathematik an der damaligen Jesuitenuniversität in Graz. Es dürfte ein Bibliothekswidmungsbild sein, vermu- tlich aus dem Jahre 1650. Der Maler ist nicht bekannt. Das Bild befindet sich jetzt in der Fachbibliothek für Mathematik der Universität Graz. Es ist ein sogenanntes „Typenbild“, d.h. Bilder dieser Art von Jesuiten sind sehr verbreitet. Abbildung 2: Christoph Clavius. Links: Stich nach einem Ölbild von Francisco Villamena aus dem Jahre 1606. Rechts: Opera Mathematica, MDCXII Christoph Clavius, (geb. 1537/8 in Bamberg, gest. am 6. Feb. 1612 in Rom) war einer der bedeutendsten Lehrer für Mathematik am Collegium Romanum, der Kaderschmiede der Jesuiten. Clavius wurde von seinen Zeitgenossen der „Euklid des 16.Jahrhunderts“ genannt. Er ist besonders durch die Betreibungen zur Kalenderreform (1582) bekannt. Guldin wird als einer seiner begabtesten Schüler genannt (Feldhay, [7]). Abbildung 3: Ein Ausschnitt Das posthum angefertigte Portrait Guldins (Abbildung 1) zeigt sehr viel Ähnlichkeit mit dem Portrait von Clavius aus dem Frontispiz der Opera Mathematica von Clavius, aber auch mit dem Portrait von Villamena. Ein Vergleich legt es nahe, dass der Maler von Guldins Portrait sein Bild von einem Kupferstich, etwa eben diesem abgemalt hat, zumal auch Un- stimmigkeiten bei den Großkreisen in der Amillarsphäre darauf hinweisen. -
Sophia Rare Books Flæsketorvet 68, 1711 København V, Denmark Tel: (+45)27628014 Fax: (+45) 69918469
Sophia Rare Books Flæsketorvet 68, 1711 København V, Denmark Tel: (+45)27628014 Fax: (+45) 69918469 www.sophiararebooks.com (The descriptions in this list are abbreviated; full descriptions are available) Stand E-39 New York Book Fair List 12-15 April 2012 Astronomy . 3, 6, 10, 18, 24, 45, 58 Chemistry . 4, 16, 50, 52, 58 Commercial arithmetics, probability, statistics . 12, 22, 38, 51, 52, 59 Electricity, magnetism . 2, 16, 48, 58 Geometry . 7, 13, 15, 17, 18, 42, 50 Mechanics, machinery, technology . 7, 11, 14, 18, 26, 27, 28, 36, 37, 43, 44, 47, 56, 57 Medicine . 5, 46, 49, 55 Navigation. 18, 30, 45 Number theory. 8, 21, 29 Optics. 1, 19, 27, 56 PMM*, Dibner, Horblit, Evans, Sparrow . 3, 5*, 10, 11, 16*, 19, 22, 25, 29*, 30, 35, 36, 37, 38, 39, 46*, 48*, 49, 50, 55*, 58* Special copies, inscribed, provenance . 21, 25, 31, 41, 51, 57 20th century science . 5, 9, 19, 20, 31, 32, 33, 34, 59 Illustrated by Rubens 1. AGUILON, François d’. Opticorum libri sex philosophis iuxta ac mathematicis utilis. Antwerp: Plantin, 1613. First edition. Folio, contemporary green suede. $18,750 A fine copy of this “master treatise on optics that synthesized the works of Euclid, Alhazen, Vitellion, Roger Bacon, Pena, Ramus, Risner, and Kepler.” (DSB). “His treatise has acquired a great deal of attention because of its seven engravings (by Theodore Galle) after drawings by [Peter Paul] Rubens. It is not so well known that Aguilon’s color theory and his prescriptions for the mixing of colors were actually used by Rubens in his paintings” (Ashworth). -
The Darwin Debate in Dublin, 1859-1908. by Aodhan Kelly B.A
NUI MAYNOOTH 011*6*11 • * * iif* in n H i Hiatd The Darwin debate in Dublin, 1859-1908. by Aodhan Kelly B.A. THESIS FOR THE DEGREE OF M.LITT DEPARTMENT OF HISTORY NATIONAL UNIVERSITY OF IRELAND MAYNOOTH Supervised by: Prof. R.V. Comerford. Submitted: February 2009. Table of contents: Acknowledgements p.iii 1. Introduction: Climate for controversy p.l 2. Early reactions p. 15 3. The Tyndall catalyst p.57 4. Darwinism develops p.95 5. Conclusion: Darwin 200 p. 123 Bibliography p. 127 Appendices p. 135 ii Acknowledgments I would like to thank my mother and father, Anna and John for their great support throughout all my studies. I also wish to thank my supervisor Prof. Vincent Comerford for his guidance, support and patience throughout the research and writing process. I would like to acknowledge the help and advice of Greta Jones, John Privilege and Juliana Adelman. Furthermore, I would like to thank Tomás for his proofreading efforts and my good friends John and Arthur for offering guidance whenever needed. 1. Introduction: Climate for controversy This thesis intends to analyse both the course and the effects of the Darwin debate in Dublin during the first fifty years after the landmark publication of Charles Darwin’s Origin of species in 1859. Darwin’s hypothesis that species evolved gradually over time by a process of natural selection was so vastly contrary to the popular belief in a static order of life that controversy was perhaps inevitable. The period in question was an extremely interesting phase in Irish history which saw much intellectual and ideological change.