H. P. Robertson Papers, Date (Inclusive): 1922-1980 Collection Number: 10024-MS Creator: Robertson, H
Total Page:16
File Type:pdf, Size:1020Kb
Load more
Recommended publications
-
Computer Oral History Collection, 1969-1973, 1977
Computer Oral History Collection, 1969-1973, 1977 INTERVIEWEES: John Todd & Olga Taussky Todd INTERVIEWER: Henry S. Tropp DATE OF INTERVIEW: July 12, 1973 Tropp: This is a discussion with Doctor and Mrs. Todd in their apartment at the University of Michigan on July 2nd, l973. This question that I asked you earlier, Mrs. Todd, about your early meetings with Von Neumann, I think are just worth recording for when you first met him and when you first saw him. Olga Tauskky Todd: Well, I first met him and saw him at that time. I actually met him at that location, he was lecturing in the apartment of Menger to a private little set. Tropp: This was Karl Menger's apartment in Vienna? Olga Tauskky Todd: In Vienna, and he was on his honeymoon. And he lectured--I've forgotten what it was about, I am ashamed to say. It would come back, you know. It would come back, but I cannot recall it at this moment. It had nothing to do with game theory. I don't know, something in.... John Todd: She has a very good memory. It will come back. Tropp: Right. Approximately when was this? Before l930? Olga Tauskky Todd: For additional information, contact the Archives Center at 202.633.3270 or [email protected] Computer Oral History Collection, 1969-1973, 1977 No. I think it may have been in 1932 or something like that. Tropp: In '32. Then you said you saw him again at Goettingen, after the-- Olga Tauskky Todd: I saw him at Goettingen. -
Council for Innovative Research Peer Review Research Publishing System
ISSN 2347-3487 Einstein's gravitation is Einstein-Grossmann's equations Alfonso Leon Guillen Gomez Independent scientific researcher, Bogota, Colombia E-mail: [email protected] Abstract While the philosophers of science discuss the General Relativity, the mathematical physicists do not question it. Therefore, there is a conflict. From the theoretical point view “the question of precisely what Einstein discovered remains unanswered, for we have no consensus over the exact nature of the theory's foundations. Is this the theory that extends the relativity of motion from inertial motion to accelerated motion, as Einstein contended? Or is it just a theory that treats gravitation geometrically in the spacetime setting?”. “The voices of dissent proclaim that Einstein was mistaken over the fundamental ideas of his own theory and that their basic principles are simply incompatible with this theory. Many newer texts make no mention of the principles Einstein listed as fundamental to his theory; they appear as neither axiom nor theorem. At best, they are recalled as ideas of purely historical importance in the theory's formation. The very name General Relativity is now routinely condemned as a misnomer and its use often zealously avoided in favour of, say, Einstein's theory of gravitation What has complicated an easy resolution of the debate are the alterations of Einstein's own position on the foundations of his theory”, (Norton, 1993) [1]. Of other hand from the mathematical point view the “General Relativity had been formulated as a messy set of partial differential equations in a single coordinate system. People were so pleased when they found a solution that they didn't care that it probably had no physical significance” (Hawking and Penrose, 1996) [2]. -
Arxiv:1601.07125V1 [Math.HO]
CHALLENGES TO SOME PHILOSOPHICAL CLAIMS ABOUT MATHEMATICS ELIAHU LEVY Abstract. In this note some philosophical thoughts and observations about mathematics are ex- pressed, arranged as challenges to some common claims. For many of the “claims” and ideas in the “challenges” see the sources listed in the references. .1. Claim. The Antinomies in Set Theory, such as the Russell Paradox, just show that people did not have a right concept about sets. Having the right concept, we get rid of any contradictions. Challenge. It seems that this cannot be honestly said, when often in “axiomatic” set theory the same reasoning that leads to the Antinomies (say to the Russell Paradox) is used to prove theorems – one does not get to the contradiction, but halts before the “catastrophe” to get a theorem. As if the reasoning that led to the Antinomies was not “illegitimate”, a result of misunderstanding, but we really have a contradiction (antinomy) which we, somewhat artificially, “cut”, by way of the axioms, to save our consistency. One may say that the phenomena described in the famous G¨odel’s Incompleteness Theorem are a reflection of the Antinomies and the resulting inevitability of an axiomatics not entirely parallel to intuition. Indeed, G¨odel’s theorem forces us to be presented with a statement (say, the consistency of Arithmetics or of Set Theory) which we know we cannot prove, while intuition puts a “proof” on the tip of our tongue, so to speak (that’s how we “know” that the statement is true!), but which our axiomatics, forced to deviate from intuition to be consistent, cannot recognize. -
K-Theory and Algebraic Geometry
http://dx.doi.org/10.1090/pspum/058.2 Recent Titles in This Series 58 Bill Jacob and Alex Rosenberg, editors, ^-theory and algebraic geometry: Connections with quadratic forms and division algebras (University of California, Santa Barbara) 57 Michael C. Cranston and Mark A. Pinsky, editors, Stochastic analysis (Cornell University, Ithaca) 56 William J. Haboush and Brian J. Parshall, editors, Algebraic groups and their generalizations (Pennsylvania State University, University Park, July 1991) 55 Uwe Jannsen, Steven L. Kleiman, and Jean-Pierre Serre, editors, Motives (University of Washington, Seattle, July/August 1991) 54 Robert Greene and S. T. Yau, editors, Differential geometry (University of California, Los Angeles, July 1990) 53 James A. Carlson, C. Herbert Clemens, and David R. Morrison, editors, Complex geometry and Lie theory (Sundance, Utah, May 1989) 52 Eric Bedford, John P. D'Angelo, Robert E. Greene, and Steven G. Krantz, editors, Several complex variables and complex geometry (University of California, Santa Cruz, July 1989) 51 William B. Arveson and Ronald G. Douglas, editors, Operator theory/operator algebras and applications (University of New Hampshire, July 1988) 50 James Glimm, John Impagliazzo, and Isadore Singer, editors, The legacy of John von Neumann (Hofstra University, Hempstead, New York, May/June 1988) 49 Robert C. Gunning and Leon Ehrenpreis, editors, Theta functions - Bowdoin 1987 (Bowdoin College, Brunswick, Maine, July 1987) 48 R. O. Wells, Jr., editor, The mathematical heritage of Hermann Weyl (Duke University, Durham, May 1987) 47 Paul Fong, editor, The Areata conference on representations of finite groups (Humboldt State University, Areata, California, July 1986) 46 Spencer J. Bloch, editor, Algebraic geometry - Bowdoin 1985 (Bowdoin College, Brunswick, Maine, July 1985) 45 Felix E. -
Wigner's “Unreasonable Effectiveness”
Wigner’s “Unreasonable Effectiveness” in Context José Ferreirós The Mathematical Intelligencer ISSN 0343-6993 Math Intelligencer DOI 10.1007/s00283-017-9719-9 1 23 Your article is protected by copyright and all rights are held exclusively by Springer Science +Business Media New York. This e-offprint is for personal use only and shall not be self- archived in electronic repositories. If you wish to self-archive your article, please use the accepted manuscript version for posting on your own website. You may further deposit the accepted manuscript version in any repository, provided it is only made publicly available 12 months after official publication or later and provided acknowledgement is given to the original source of publication and a link is inserted to the published article on Springer's website. The link must be accompanied by the following text: "The final publication is available at link.springer.com”. 1 23 Author's personal copy Years Ago Jemma Lorenat, Editor instein famously wrote that the most incomprehen- Wigner’s sible thing about the world is that it is comprehen- EE sible. He was thinking about mathematical and the- oretical physics. The idea is an old one. Nobel prize winner ‘‘Unreasonable Paul Dirac believed that mathematics was an especially well-adapted tool to formulate abstract concepts of any kind, and he also famously insisted that mathematical Effectiveness’’ beauty is a key criterion for physical laws.1 But one of the most famous presentations of that thought was by Dirac’s in Context brother-in-law, Wigner Jen´o´ Pa´l, a.k.a. -
Relativistic Quantum Mechanics 1
Relativistic Quantum Mechanics 1 The aim of this chapter is to introduce a relativistic formalism which can be used to describe particles and their interactions. The emphasis 1.1 SpecialRelativity 1 is given to those elements of the formalism which can be carried on 1.2 One-particle states 7 to Relativistic Quantum Fields (RQF), which underpins the theoretical 1.3 The Klein–Gordon equation 9 framework of high energy particle physics. We begin with a brief summary of special relativity, concentrating on 1.4 The Diracequation 14 4-vectors and spinors. One-particle states and their Lorentz transforma- 1.5 Gaugesymmetry 30 tions follow, leading to the Klein–Gordon and the Dirac equations for Chaptersummary 36 probability amplitudes; i.e. Relativistic Quantum Mechanics (RQM). Readers who want to get to RQM quickly, without studying its foun- dation in special relativity can skip the first sections and start reading from the section 1.3. Intrinsic problems of RQM are discussed and a region of applicability of RQM is defined. Free particle wave functions are constructed and particle interactions are described using their probability currents. A gauge symmetry is introduced to derive a particle interaction with a classical gauge field. 1.1 Special Relativity Einstein’s special relativity is a necessary and fundamental part of any Albert Einstein 1879 - 1955 formalism of particle physics. We begin with its brief summary. For a full account, refer to specialized books, for example (1) or (2). The- ory oriented students with good mathematical background might want to consult books on groups and their representations, for example (3), followed by introductory books on RQM/RQF, for example (4). -
President Harry S Truman's Office Files, 1945–1953
A Guide to the Microfilm Edition of RESEARCH COLLECTIONS IN AMERICAN POLITICS Microforms from Major Archival and Manuscript Collections General Editor: William E. Leuchtenburg PRESIDENT HARRY S TRUMAN’S OFFICE FILES, 1945–1953 Part 2: Correspondence File UNIVERSITY PUBLICATIONS OF AMERICA A Guide to the Microfilm Edition of RESEARCH COLLECTIONS IN AMERICAN POLITICS Microforms from Major Archival and Manuscript Collections General Editor: William E. Leuchtenburg PRESIDENT HARRY S TRUMAN’S OFFICE FILES, 1945–1953 Part 2: Correspondence File Project Coordinators Gary Hoag Paul Kesaris Robert E. Lester Guide compiled by David W. Loving A microfilm project of UNIVERSITY PUBLICATIONS OF AMERICA An Imprint of CIS 4520 East-West Highway • Bethesda, Maryland 20814-3389 LCCN: 90-956100 Copyright© 1989 by University Publications of America. All rights reserved. ISBN 1-55655-151-7. TABLE OF CONTENTS Introduction ............................................................................................................................ v Scope and Content Note ....................................................................................................... xi Source and Editorial Note ..................................................................................................... xiii Reel Index Reel 1 A–Atomic Energy Control Commission, United Nations ......................................... 1 Reel 2 Attlee, Clement R.–Benton, William ........................................................................ 2 Reel 3 Bowles, Chester–Chronological -
Quantum Mechanics Digital Physics
Quantum Mechanics_digital physics In physics and cosmology, digital physics is a collection of theoretical perspectives based on the premise that the universe is, at heart, describable byinformation, and is therefore computable. Therefore, according to this theory, the universe can be conceived of as either the output of a deterministic or probabilistic computer program, a vast, digital computation device, or mathematically isomorphic to such a device. Digital physics is grounded in one or more of the following hypotheses; listed in order of decreasing strength. The universe, or reality: is essentially informational (although not every informational ontology needs to be digital) is essentially computable (the pancomputationalist position) can be described digitally is in essence digital is itself a computer (pancomputationalism) is the output of a simulated reality exercise History Every computer must be compatible with the principles of information theory,statistical thermodynamics, and quantum mechanics. A fundamental link among these fields was proposed by Edwin Jaynes in two seminal 1957 papers.[1]Moreover, Jaynes elaborated an interpretation of probability theory as generalized Aristotelian logic, a view very convenient for linking fundamental physics withdigital computers, because these are designed to implement the operations ofclassical logic and, equivalently, of Boolean algebra.[2] The hypothesis that the universe is a digital computer was pioneered by Konrad Zuse in his book Rechnender Raum (translated into English as Calculating Space). The term digital physics was first employed by Edward Fredkin, who later came to prefer the term digital philosophy.[3] Others who have modeled the universe as a giant computer include Stephen Wolfram,[4] Juergen Schmidhuber,[5] and Nobel laureate Gerard 't Hooft.[6] These authors hold that the apparentlyprobabilistic nature of quantum physics is not necessarily incompatible with the notion of computability. -
The Scientific Life and Influence of Clifford Ambrose Truesdell
Arch. Rational Mech. Anal. 161 (2002) 1–26 Digital Object Identifier (DOI) 10.1007/s002050100178 The Scientific Life and Influence of Clifford Ambrose Truesdell III J. M. Ball & R. D. James Editors 1. Introduction Clifford Truesdell was an extraordinary figure of 20th century science. Through his own contributions and an unparalleled ability to absorb and organize the work of previous generations, he became pre-eminent in the development of continuum mechanics in the decades following the Second World War. A prolific and scholarly writer, whose lucid and pungent style attracted many talented young people to the field, he forcefully articulated a view of the importance and philosophy of ‘rational mechanics’ that became identified with his name. He was born on 18 February 1919 in Los Angeles, graduating from Polytechnic High School in 1936. Before going to university he spent two years at Oxford and traveling elsewhere in Europe. There he improved his knowledge of Latin and Ancient Greek and became proficient in German, French and Italian.These language skills would later prove valuable in his mathematical and historical research. Truesdell was an undergraduate at the California Institute of Technology, where he obtained B.S. degrees in Physics and Mathematics in 1941 and an M.S. in Math- ematics in 1942. He obtained a Certificate in Mechanics from Brown University in 1942, and a Ph.D. in Mathematics from Princeton in 1943. From 1944–1946 he was a Staff Member of the Radiation Laboratory at MIT, moving to become Chief of the Theoretical Mechanics Subdivision of the U.S. Naval Ordnance Labo- ratory in White Oak, Maryland, from 1946–1948, and then Head of the Theoretical Mechanics Section of the U.S. -
Harry Bateman Papers
http://oac.cdlib.org/findaid/ark:/13030/kt4f59q9jr No online items Finding Aid for the Harry Bateman Papers 1906-1947 Processed by Carolyn K. Harding. Caltech Archives Archives California Institute of Technology 1200 East California Blvd. Mail Code 015A-74 Pasadena, CA 91125 Phone: (626) 395-2704 Fax: (626) 793-8756 Email: [email protected] URL: http://archives.caltech.edu/ ©2006 California Institute of Technology. All rights reserved. Finding Aid for the Harry 10018-MS 1 Bateman Papers 1906-1947 Descriptive Summary Title: Harry Bateman Papers, Date (inclusive): 1906-1947 Collection number: 10018-MS Creator: Bateman, Harry 1882-1946 Extent: 3.5 linear feet Repository: California Institute of Technology, Caltech Archives Pasadena, California 91125 Abstract: Harry Bateman was a mathematical physicist and professor of physics, mathematics and aeronautics at the California Institute of Technology (Caltech, originally Throop College), 1917-1946. The collection includes his manuscripts on binomial coefficients, notes on integrals and related material (much of which was later published by Arthur Erdélyi); and a small amount of personal correspondence. Also included are teaching materials and reprints. Physical location: Archives, California Institute of Technology. Language of Material: Languages represented in the collection: EnglishFrenchGerman Access The collection is open for research. Researchers must apply in writing for access. Publication Rights Copyright may not have been assigned to the California Institute of Technology Archives. All requests for permission to publish or quote from manuscripts must be submitted in writing to the Caltech Archivist. Permission for publication is given on behalf of the California Institute of Technology Archives as the owner of the physical items and, unless explicitly stated otherwise, is not intended to include or imply permission of the copyright holder, which must also be obtained by the reader. -
Guide to the Enrico Fermi Collection 1918-1974
University of Chicago Library Guide to the Enrico Fermi Collection 1918-1974 © 2009 University of Chicago Library Table of Contents Descriptive Summary 4 Information on Use 4 Access 4 Citation 4 Biographical Note 4 Scope Note 7 Related Resources 8 Subject Headings 8 INVENTORY 8 Series I: Personal 8 Subseries 1: Biographical 8 Subseries 2: Personal Papers 11 Subseries 3: Honors 11 Subseries 4: Memorials 19 Series II: Correspondence 22 Subseries 1: Personal 23 Sub-subseries 1: Social 23 Sub-subseries 2: Business and Financial 24 Subseries 2: Professional 25 Sub-subseries 1: Professional Correspondence A-Z 25 Sub-subseries 2: Conferences, Paid Lectures, and Final Trip to Europe 39 Sub-subseries 3: Publications 41 Series III: Academic Papers 43 Subseries 1: Business and Financial 44 Subseries 2: Department and Colleagues 44 Subseries 3: Examinations and Courses 46 Subseries 4: Recommendations 47 Series IV: Professional Organizations 49 Series V: Federal Government 52 Series VI: Research 60 Subseries 1: Research Institutes, Councils, and Foundations 61 Subseries 2: Patents 64 Subseries 3: Artificial Memory 67 Subseries 4: Miscellaneous 82 Series VII: Notebooks and Course Notes 89 Subseries 1: Experimental and Theoretical Physics 90 Subseries 2: Courses 94 Subseries 3: Personal Notes on Physics 96 Subseries 4: Miscellaneous 98 Series VIII: Writings 99 Subseries 1: Published Articles, Lectures, and Addresses 100 Subseries 3: Books 114 Series IX: Audio-Visual Materials 118 Subseries 1: Visual Materials 119 Subseries 2: Audio 121 Descriptive Summary Identifier ICU.SPCL.FERMI Title Fermi, Enrico. Collection Date 1918-1974 Size 35 linear feet (65 boxes) Repository Special Collections Research Center University of Chicago Library 1100 East 57th Street Chicago, Illinois 60637 U.S.A. -
Council Congratulates Exxon Education Foundation
from.qxp 4/27/98 3:17 PM Page 1315 From the AMS ics. The Exxon Education Foundation funds programs in mathematics education, elementary and secondary school improvement, undergraduate general education, and un- dergraduate developmental education. —Timothy Goggins, AMS Development Officer AMS Task Force Receives Two Grants The AMS recently received two new grants in support of its Task Force on Excellence in Mathematical Scholarship. The Task Force is carrying out a program of focus groups, site visits, and information gathering aimed at developing (left to right) Edward Ahnert, president of the Exxon ways for mathematical sciences departments in doctoral Education Foundation, AMS President Cathleen institutions to work more effectively. With an initial grant Morawetz, and Robert Witte, senior program officer for of $50,000 from the Exxon Education Foundation, the Task Exxon. Force began its work by organizing a number of focus groups. The AMS has now received a second grant of Council Congratulates Exxon $50,000 from the Exxon Education Foundation, as well as a grant of $165,000 from the National Science Foundation. Education Foundation For further information about the work of the Task Force, see “Building Excellence in Doctoral Mathematics De- At the Summer Mathfest in Burlington in August, the AMS partments”, Notices, November/December 1995, pages Council passed a resolution congratulating the Exxon Ed- 1170–1171. ucation Foundation on its fortieth anniversary. AMS Pres- ident Cathleen Morawetz presented the resolution during —Timothy Goggins, AMS Development Officer the awards banquet to Edward Ahnert, president of the Exxon Education Foundation, and to Robert Witte, senior program officer with Exxon.