Visiting Mathematicians Jon Barwise, in Setting the Tone for His New Column, Has Incorporated Three Articles Into This Month's Offering
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DOCUMENT RESUME ED 266 C35 SE 046 420 International
DOCUMENT RESUME ED 266 C35 SE 046 420 TITLE International Cooperation in Science. Science Policy Study--Hearings Volume 7. Hearings before the Task Force on Science Policy of the Committee on Science and Technology, House of Representatives, Ninety-Ninth Congress, First Session (June 18, 19, 20, 27, 1985). No. 50. INSTITUTION Congress of the U.S., Washington, D.C. House Committee on Science and Technology. PUB DATE 85 NOTE 1,147p.; Photographs and pages containing small and light print may not reproduce well. For related documents, see SE 046 411-413 and SE 046 419. PUB TYPE Legal/Legislative/Regulatory Materials (09G) EDRS PRICE MF08/PC46 Plus Postage. DESCRIPTORS Financial Support; Hearings; Higher Education; *International Cooperation; *International Programs; Mathematics; Physics; Policy Formation; *Program Content; Psychology; Research Needs; *Sciences; *Scientific Research; *Technology; Training IDENTIFIERS Congress 99th; *Science Policy; UNESCO ABSTRACT These hearings on international cooperation in science focused on three issues: (1) international cooperation in big science; (2) the impact of international cooperation on research priorities; and (3) coordination in management of international cooperative research. Witnesses presenting testimony and/or prepared statements were: Victor Weisskopf; Sandra D. Toye; Walter A. McDougall; Harold Jaffe; Herbert Friedman; Joseph C. Gavin, Jr.; H. Guyford Stever; Kenneth S. Pedersen; John P. McTague (accompanied by Wallace Kornack); Charles Horner (accompanied by Jack Blanchard); John F. Clarke; Eugene Skolnikoff; and Rans-Otto Wuster. Witnesses' questions and answers are also included. Two appendices are provided. The first is the record of the briefing of the task force staff by the American Association for the Advancement of Science Consortium of Affiliates for International Programs (with these participants: Richard D. -
H. Guyford Stever 1916–2010
NATIONAL ACADEMY OF SCIENCES H. GUYFORD S TEVER 1 9 1 6 – 2 0 1 0 A Biographical Memoir by BY T. K E N N E TH F O W L E R Any opinions expressed in this memoir are those of the author and do not necessarily reflect the views of the National Academy of Sciences. Biographical Memoir COPYRIGHT 2010 NATIONAL ACADEMY OF SCIENCES WASHINGTON, D.C. H. GUYFORD STEVER October 24, 1916–April 9, 2010 BY T. KENNET H FOWLER FTER A DISTINGUISHED CAREER OF SERVICe in academia, govern- Ament, and industry, Guy Stever died on April 9, 2010, at his home in Gaithersburg, Maryland. He was 9. During 1965-1976, he served as president of Carnegie Tech, then Carnegie-Mellon University; director of the National Science Foundation; and science adviser to Presidents Nixon and Ford. He was a member of Section 1 of the National Academy of Sciences, elected in 197, having already been elected to the National Academy of Engineering in 1965. He was awarded the National Medal of Science in 1991. I knew Guy best when I served with him on the Fusion Policy Advisory Committee of 1990, which played an important role in enabling Princeton finally to conduct experiments with tritium that yielded the first definitive demonstration of controlled fusion power, in 199. Guy was chair, a frequent role for him after his years in the White House. Just the year before, in 1989, he had completed a far more difficult assignment as chair of a panel overseeing booster-rocket redesign following the Challenger disaster. -
Placing World War I in the History of Mathematics David Aubin, Catherine Goldstein
Placing World War I in the History of Mathematics David Aubin, Catherine Goldstein To cite this version: David Aubin, Catherine Goldstein. Placing World War I in the History of Mathematics. 2013. hal- 00830121v1 HAL Id: hal-00830121 https://hal.sorbonne-universite.fr/hal-00830121v1 Preprint submitted on 4 Jun 2013 (v1), last revised 8 Jul 2014 (v2) HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Placing World War I in the History of Mathematics David Aubin and Catherine Goldstein Abstract. In the historical literature, opposite conclusions were drawn about the impact of the First World War on mathematics. In this chapter, the case is made that the war was an important event for the history of mathematics. We show that although mathematicians' experience of the war was extremely varied, its impact was decisive on the life of a great number of them. We present an overview of some uses of mathematics in war and of the development of mathematics during the war. We conclude by arguing that the war also was a crucial factor in the institutional modernization of mathematics. Les vrais adversaires, dans la guerre d'aujourd'hui, ce sont les professeurs de math´ematiques`aleur table, les physiciens et les chimistes dans leur laboratoire. -
Theological Metaphors in Mathematics
STUDIES IN LOGIC, GRAMMAR AND RHETORIC 44 (57) 2016 DOI: 10.1515/slgr-2016-0002 Stanisław Krajewski University of Warsaw THEOLOGICAL METAPHORS IN MATHEMATICS Abstract. Examples of possible theological influences upon the development of mathematics are indicated. The best known connection can be found in the realm of infinite sets treated by us as known or graspable, which constitutes a divine-like approach. Also the move to treat infinite processes as if they were one finished object that can be identified with its limits is routine in mathemati- cians, but refers to seemingly super-human power. For centuries this was seen as wrong and even today some philosophers, for example Brian Rotman, talk critically about “theological mathematics”. Theological metaphors, like “God’s view”, are used even by contemporary mathematicians. While rarely appearing in official texts they are rather easily invoked in “the kitchen of mathemat- ics”. There exist theories developing without the assumption of actual infinity the tools of classical mathematics needed for applications (For instance, My- cielski’s approach). Conclusion: mathematics could have developed in another way. Finally, several specific examples of historical situations are mentioned where, according to some authors, direct theological input into mathematics appeared: the possibility of the ritual genesis of arithmetic and geometry, the importance of the Indian religious background for the emergence of zero, the genesis of the theories of Cantor and Brouwer, the role of Name-worshipping for the research of the Moscow school of topology. Neither these examples nor the previous illustrations of theological metaphors provide a certain proof that religion or theology was directly influencing the development of mathematical ideas. -
Chen Prime Liczby Pierwsze Chena
Chen Prime Liczby pierwsze Chena Chen Jingrun • Data urodzenia: 22 maj 1933 • Data śmierci: 19 marzec 1996 Pochodzi z wielodzietnej rodziny z Fuzhou, Fujian, Chiny. W 1953 roku skończył wydział matematyki na Uniwersytecie w Xiamen. Jego prace nad przypuszczeniem o bliźniaczych liczbach pierwszych oraz hipotezą Goldbacha doprowadziły do postępu analitycznej teorii liczb. Największym jego osiągnięciem było tzw. twierdzenie Chena stanowiące słabszą wersję słynnej hipotezy Goldbacha. Nazwiskiem Chen Jingruna została nazwana planetoida 7681 Chenjingrun odkryta w 1996 roku Hipoteza Goldbacha • jeden z najstarszych nierozwiązanych problemów w teorii liczb, liczy sobie ponad 250 lat • W 1742 roku, w liście do Leonharda Eulera, Christian Goldbach postawił hipotezę: każda liczba naturalna większa niż 2 może być przedstawiona w postaci sumy trzech liczb pierwszych (ta sama liczba pierwsza może być użyta dwukrotnie) Euler po otrzymaniu listu stwierdził iż hipotezę Goldbacha można uprościć i przedstawić ją w następujący sposób: każda liczba naturalna parzysta większa od 2 jest sumą dwóch liczb pierwszych Powyższą hipotezę do dzisiaj nazywaną "hipotezą Goldbacha" sformułował w rezultacie Euler, jednak nazwa nie została zmieniona. Oto kilka prostych przykładów: 4=2+2 6=3+3 8=3+5 10=3+7=5+5 … 100=53+47… Dzięki użyciu komputerów udało się pokazać, że hipoteza Goldbacha jest prawdziwa dla liczb naturalnych mniejszych niż 4 × 1017 (przez przedstawienie każdej z tych liczb w postaci sumy dwóch liczb pierwszych). Co więcej, większość współczesnych matematyków -
Connes on the Role of Hyperreals in Mathematics
Found Sci DOI 10.1007/s10699-012-9316-5 Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics Vladimir Kanovei · Mikhail G. Katz · Thomas Mormann © Springer Science+Business Media Dordrecht 2012 Abstract We examine some of Connes’ criticisms of Robinson’s infinitesimals starting in 1995. Connes sought to exploit the Solovay model S as ammunition against non-standard analysis, but the model tends to boomerang, undercutting Connes’ own earlier work in func- tional analysis. Connes described the hyperreals as both a “virtual theory” and a “chimera”, yet acknowledged that his argument relies on the transfer principle. We analyze Connes’ “dart-throwing” thought experiment, but reach an opposite conclusion. In S, all definable sets of reals are Lebesgue measurable, suggesting that Connes views a theory as being “vir- tual” if it is not definable in a suitable model of ZFC. If so, Connes’ claim that a theory of the hyperreals is “virtual” is refuted by the existence of a definable model of the hyperreal field due to Kanovei and Shelah. Free ultrafilters aren’t definable, yet Connes exploited such ultrafilters both in his own earlier work on the classification of factors in the 1970s and 80s, and in Noncommutative Geometry, raising the question whether the latter may not be vulnera- ble to Connes’ criticism of virtuality. We analyze the philosophical underpinnings of Connes’ argument based on Gödel’s incompleteness theorem, and detect an apparent circularity in Connes’ logic. We document the reliance on non-constructive foundational material, and specifically on the Dixmier trace − (featured on the front cover of Connes’ magnum opus) V. -
Herbert Busemann (1905--1994)
HERBERT BUSEMANN (1905–1994) A BIOGRAPHY FOR HIS SELECTED WORKS EDITION ATHANASE PAPADOPOULOS Herbert Busemann1 was born in Berlin on May 12, 1905 and he died in Santa Ynez, County of Santa Barbara (California) on February 3, 1994, where he used to live. His first paper was published in 1930, and his last one in 1993. He wrote six books, two of which were translated into Russian in the 1960s. Initially, Busemann was not destined for a mathematical career. His father was a very successful businessman who wanted his son to be- come, like him, a businessman. Thus, the young Herbert, after high school (in Frankfurt and Essen), spent two and a half years in business. Several years later, Busemann recalls that he always wanted to study mathematics and describes this period as “two and a half lost years of my life.” Busemann started university in 1925, at the age of 20. Between the years 1925 and 1930, he studied in Munich (one semester in the aca- demic year 1925/26), Paris (the academic year 1927/28) and G¨ottingen (one semester in 1925/26, and the years 1928/1930). He also made two 1Most of the information about Busemann is extracted from the following sources: (1) An interview with Constance Reid, presumably made on April 22, 1973 and kept at the library of the G¨ottingen University. (2) Other documents held at the G¨ottingen University Library, published in Vol- ume II of the present edition of Busemann’s Selected Works. (3) Busemann’s correspondence with Richard Courant which is kept at the Archives of New York University. -
Mathematicians Fleeing from Nazi Germany
Mathematicians Fleeing from Nazi Germany Mathematicians Fleeing from Nazi Germany Individual Fates and Global Impact Reinhard Siegmund-Schultze princeton university press princeton and oxford Copyright 2009 © by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, 6 Oxford Street, Woodstock, Oxfordshire OX20 1TW All Rights Reserved Library of Congress Cataloging-in-Publication Data Siegmund-Schultze, R. (Reinhard) Mathematicians fleeing from Nazi Germany: individual fates and global impact / Reinhard Siegmund-Schultze. p. cm. Includes bibliographical references and index. ISBN 978-0-691-12593-0 (cloth) — ISBN 978-0-691-14041-4 (pbk.) 1. Mathematicians—Germany—History—20th century. 2. Mathematicians— United States—History—20th century. 3. Mathematicians—Germany—Biography. 4. Mathematicians—United States—Biography. 5. World War, 1939–1945— Refuges—Germany. 6. Germany—Emigration and immigration—History—1933–1945. 7. Germans—United States—History—20th century. 8. Immigrants—United States—History—20th century. 9. Mathematics—Germany—History—20th century. 10. Mathematics—United States—History—20th century. I. Title. QA27.G4S53 2008 510.09'04—dc22 2008048855 British Library Cataloging-in-Publication Data is available This book has been composed in Sabon Printed on acid-free paper. ∞ press.princeton.edu Printed in the United States of America 10 987654321 Contents List of Figures and Tables xiii Preface xvii Chapter 1 The Terms “German-Speaking Mathematician,” “Forced,” and“Voluntary Emigration” 1 Chapter 2 The Notion of “Mathematician” Plus Quantitative Figures on Persecution 13 Chapter 3 Early Emigration 30 3.1. The Push-Factor 32 3.2. The Pull-Factor 36 3.D. -
Academic Genealogy of the Oakland University Department Of
Basilios Bessarion Mystras 1436 Guarino da Verona Johannes Argyropoulos 1408 Università di Padova 1444 Academic Genealogy of the Oakland University Vittorino da Feltre Marsilio Ficino Cristoforo Landino Università di Padova 1416 Università di Firenze 1462 Theodoros Gazes Ognibene (Omnibonus Leonicenus) Bonisoli da Lonigo Angelo Poliziano Florens Florentius Radwyn Radewyns Geert Gerardus Magnus Groote Università di Mantova 1433 Università di Mantova Università di Firenze 1477 Constantinople 1433 DepartmentThe Mathematics Genealogy Project of is a serviceMathematics of North Dakota State University and and the American Statistics Mathematical Society. Demetrios Chalcocondyles http://www.mathgenealogy.org/ Heinrich von Langenstein Gaetano da Thiene Sigismondo Polcastro Leo Outers Moses Perez Scipione Fortiguerra Rudolf Agricola Thomas von Kempen à Kempis Jacob ben Jehiel Loans Accademia Romana 1452 Université de Paris 1363, 1375 Université Catholique de Louvain 1485 Università di Firenze 1493 Università degli Studi di Ferrara 1478 Mystras 1452 Jan Standonck Johann (Johannes Kapnion) Reuchlin Johannes von Gmunden Nicoletto Vernia Pietro Roccabonella Pelope Maarten (Martinus Dorpius) van Dorp Jean Tagault François Dubois Janus Lascaris Girolamo (Hieronymus Aleander) Aleandro Matthaeus Adrianus Alexander Hegius Johannes Stöffler Collège Sainte-Barbe 1474 Universität Basel 1477 Universität Wien 1406 Università di Padova Università di Padova Université Catholique de Louvain 1504, 1515 Université de Paris 1516 Università di Padova 1472 Università -
Computer Oral History Collection, 1969-1973, 1977
Computer Oral History Collection, 1969-1973, 1977 Interviewee: John H. Curtiss Interviewer: Henry S. Tropp Date: March 9, 1973 Repository: Archives Center, National Museum of American History TROPP: This is a discussion with Professor John H. Curtiss in his office at the University of Miami in Coral Gables. Professor Curtiss is Professor of Mathematics here at the University of Miami. [Recorder off]. I guess the first question is really quite a general one and that is: You were in the Navy during the war and on leave of absence from Cornell as a mathematician. How did you end up at the Bureau of Standards? CURTISS: Dr. W. Edward Deming, who is one of my best friends in Washington, at that time was a senior adviser, statistical adviser, at the Bureau of the Budget -- was friendly with Dr. E. U. Condon. Dr. Deming, like some other great statisticians at the time and before, was himself a trained physicist. I believe Karl Pearson was a physicist and I believe also R. A. Fisher was a physicist; and naturally the physicists more or less knew each other, and so Dr. Deming felt that there should be a statistical adviser in the Bureau of Standards just as there was one in the Census Bureau -- that is, a person qualified statistically who had the ... who had publications and who might, say, be a Fellow of the Institute and the Association, just as Morris Hanson had the same qualifications for a parallel job with Census. I believe that Dr. Deming actually brought Hanson, Mr. Hanson, to the Census Bureau. -
Hannes Werthner Frank Van Harmelen Editors
Hannes Werthner Frank van Harmelen Editors Informatics in the Future Proceedings of the 11th European Computer Science Summit (ECSS 2015), Vienna, October 2015 Informatics in the Future Hannes Werthner • Frank van Harmelen Editors Informatics in the Future Proceedings of the 11th European Computer Science Summit (ECSS 2015), Vienna, October 2015 Editors Hannes Werthner Frank van Harmelen TU Wien Vrije Universiteit Amsterdam Wien, Austria Amsterdam, The Netherlands ISBN 978-3-319-55734-2 ISBN 978-3-319-55735-9 (eBook) DOI 10.1007/978-3-319-55735-9 Library of Congress Control Number: 2017938012 © The Editor(s) (if applicable) and The Author(s) 2017. This book is an open access publication. Open Access This book is licensed under the terms of the Creative Commons Attribution- NonCommercial 4.0 International License (http://creativecommons.org/licenses/by-nc/4.0/), which permits any noncommercial use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The images or other third party material in this book are included in the book’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the book’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. This work is subject to copyright. All commercial rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. -
(PBC) Steering Advisory Committee on Quantum Science And
Planning and Budgeting Committee (PBC) Steering Advisory Committee on Quantum Science and Technology Final Report Presented to the Planning and Budgeting Committee General Assembly February 2018 1 | PAGE Preamble, Prof. Uri Sivan, Committee Chairman My heartfelt thanks to the committee members for their time and efforts invested in constructing the National Academic Quantum Science and Technology (QST) Program. Their expertise and the depth and scope of discussions have brought to the results presented below. My thanks to the Planning and Budgeting Committee (PBC) members, particularly to the Chairwomen, Prof. Zilbershats, for her continuous trust in the committee and its objective. Special thanks to the PBC representatives accompanying the Committee: Dr. Liat Maoz, Ms. Nina Ostrozhko and Mr. Amir Gat for their extraordinary devotion and contributions throughout. “The second quantum revolution”, which drove the PBC to declare QST as a priority field in its five- years plan, is underway. Testament to this are the expansive national and multinational programs announced by most developed countries and extensive commercial investments. The proposed program aims to lay down the academic foundation necessary for Israel to join this revolution. It leans upon the existing excellence and provides a roadmap of the steps necessary to significantly expand the scope of activity, improve research capacities and train a skilled workforce to set the revolution in motion in academia, industry and security sector. An expansive academic program is critical to position Israel at the forefront of global research and development, but realizing its national potential also demands partnering with additional entities experienced in laying down the infrastructure necessary to develop the industry and security needs.