Benjamin Osgood Peirce
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List of Members
LIST OF MEMBERS, ALFRED BAKER, M.A., Professor of Mathematics, University of Toronto, Toronto, Canada. ARTHUR LATHAM BAKER, C.E., Ph.D., Professor of Mathe matics, Stevens School, Hpboken., N. J. MARCUS BAKER, U. S. Geological Survey, Washington, D.C. JAMES MARCUS BANDY, B.A., M.A., Professor of Mathe matics and Engineering, Trinit)^ College, N. C. EDGAR WALES BASS, Professor of Mathematics, U. S. Mili tary Academy, West Point, N. Y. WOOSTER WOODRUFF BEMAN, B.A., M.A., Member of the London Mathematical Society, Professor of Mathe matics, University of Michigan, Ann Arbor, Mich. R. DANIEL BOHANNAN, B.Sc, CE., E.M., Professor of Mathematics and Astronomy, Ohio State University, Columbus, Ohio. CHARLES AUGUSTUS BORST, M.A., Assistant in Astronomy, Johns Hopkins University, Baltimore, Md. EDWARD ALBERT BOWSER, CE., LL.D., Professor of Mathe matics, Rutgers College, New Brunswick, N. J. JOHN MILTON BROOKS, B.A., Instructor in Mathematics, College of New Jersey, Princeton, N. J. ABRAM ROGERS BULLIS, B.SC, B.C.E., Macedon, Wayne Co., N. Y. WILLIAM ELWOOD BYERLY, Ph.D., Professor of Mathematics, Harvard University, Cambridge*, Mass. WILLIAM CAIN, C.E., Professor of Mathematics and Eng ineering, University of North Carolina, Chapel Hill, N. C. CHARLES HENRY CHANDLER, M.A., Professor of Mathe matics, Ripon College, Ripon, Wis. ALEXANDER SMYTH CHRISTIE, LL.M., Chief of Tidal Division, U. S. Coast and Geodetic Survey, Washington, D. C. JOHN EMORY CLARK, M.A., Professor of Mathematics, Yale University, New Haven, Conn. FRANK NELSON COLE, Ph.D., Assistant Professor of Mathe matics, University of Michigan, Ann Arbor, Mich. -
A Century of Mathematics in America, Peter Duren Et Ai., (Eds.), Vol
Garrett Birkhoff has had a lifelong connection with Harvard mathematics. He was an infant when his father, the famous mathematician G. D. Birkhoff, joined the Harvard faculty. He has had a long academic career at Harvard: A.B. in 1932, Society of Fellows in 1933-1936, and a faculty appointmentfrom 1936 until his retirement in 1981. His research has ranged widely through alge bra, lattice theory, hydrodynamics, differential equations, scientific computing, and history of mathematics. Among his many publications are books on lattice theory and hydrodynamics, and the pioneering textbook A Survey of Modern Algebra, written jointly with S. Mac Lane. He has served as president ofSIAM and is a member of the National Academy of Sciences. Mathematics at Harvard, 1836-1944 GARRETT BIRKHOFF O. OUTLINE As my contribution to the history of mathematics in America, I decided to write a connected account of mathematical activity at Harvard from 1836 (Harvard's bicentennial) to the present day. During that time, many mathe maticians at Harvard have tried to respond constructively to the challenges and opportunities confronting them in a rapidly changing world. This essay reviews what might be called the indigenous period, lasting through World War II, during which most members of the Harvard mathe matical faculty had also studied there. Indeed, as will be explained in §§ 1-3 below, mathematical activity at Harvard was dominated by Benjamin Peirce and his students in the first half of this period. Then, from 1890 until around 1920, while our country was becoming a great power economically, basic mathematical research of high quality, mostly in traditional areas of analysis and theoretical celestial mechanics, was carried on by several faculty members. -
The Generalization of Logic According to G.Boole, A.De Morgan
South American Journal of Logic Vol. 3, n. 2, pp. 415{481, 2017 ISSN: 2446-6719 Squaring the unknown: The generalization of logic according to G. Boole, A. De Morgan, and C. S. Peirce Cassiano Terra Rodrigues Abstract This article shows the development of symbolic mathematical logic in the works of G. Boole, A. De Morgan, and C. S. Peirce. Starting from limitations found in syllogistic, Boole devised a calculus for what he called the algebra of logic. Modifying the interpretation of categorial proposi- tions to make them agree with algebraic equations, Boole was able to show an isomorphism between the calculus of classes and of propositions, being indeed the first to mathematize logic. Having a different purport than Boole's system, De Morgan's is conceived as an improvement on syllogistic and as an instrument for the study of it. With a very unusual system of symbols of his own, De Morgan develops the study of logical relations that are defined by the very operation of signs. Although his logic is not a Boolean algebra of logic, Boole took from De Morgan at least one central notion, namely, the one of a universe of discourse. Peirce crit- ically sets out both from Boole and from De Morgan. Firstly, claiming Boole had exaggeratedly submitted logic to mathematics, Peirce strives to distinguish the nature and the purpose of each discipline. Secondly, identifying De Morgan's limitations in his rigid restraint of logic to the study of relations, Peirce develops compositions of relations with classes. From such criticisms, Peirce not only devises a multiple quantification theory, but also construes a very original and strong conception of logic as a normative science. -
Peirce for Whitehead Handbook
For M. Weber (ed.): Handbook of Whiteheadian Process Thought Ontos Verlag, Frankfurt, 2008, vol. 2, 481-487 Charles S. Peirce (1839-1914) By Jaime Nubiola1 1. Brief Vita Charles Sanders Peirce [pronounced "purse"], was born on 10 September 1839 in Cambridge, Massachusetts, to Sarah and Benjamin Peirce. His family was already academically distinguished, his father being a professor of astronomy and mathematics at Harvard. Though Charles himself received a graduate degree in chemistry from Harvard University, he never succeeded in obtaining a tenured academic position. Peirce's academic ambitions were frustrated in part by his difficult —perhaps manic-depressive— personality, combined with the scandal surrounding his second marriage, which he contracted soon after his divorce from Harriet Melusina Fay. He undertook a career as a scientist for the United States Coast Survey (1859- 1891), working especially in geodesy and in pendulum determinations. From 1879 through 1884, he was a part-time lecturer in Logic at Johns Hopkins University. In 1887, Peirce moved with his second wife, Juliette Froissy, to Milford, Pennsylvania, where in 1914, after 26 years of prolific and intense writing, he died of cancer. He had no children. Peirce published two books, Photometric Researches (1878) and Studies in Logic (1883), and a large number of papers in journals in widely differing areas. His manuscripts, a great many of which remain unpublished, run to some 100,000 pages. In 1931-58, a selection of his writings was arranged thematically and published in eight volumes as the Collected Papers of Charles Sanders Peirce. Beginning in 1982, a number of volumes have been published in the series A Chronological Edition, which will ultimately consist of thirty volumes. -
A History of Mathematics in America Before 1900.Pdf
THE BOOK WAS DRENCHED 00 S< OU_1 60514 > CD CO THE CARUS MATHEMATICAL MONOGRAPHS Published by THE MATHEMATICAL ASSOCIATION OF AMERICA Publication Committee GILBERT AMES BLISS DAVID RAYMOND CURTISS AUBREY JOHN KEMPNER HERBERT ELLSWORTH SLAUGHT CARUS MATHEMATICAL MONOGRAPHS are an expression of THEthe desire of Mrs. Mary Hegeler Carus, and of her son, Dr. Edward H. Carus, to contribute to the dissemination of mathe- matical knowledge by making accessible at nominal cost a series of expository presenta- tions of the best thoughts and keenest re- searches in pure and applied mathematics. The publication of these monographs was made possible by a notable gift to the Mathematical Association of America by Mrs. Carus as sole trustee of the Edward C. Hegeler Trust Fund. The expositions of mathematical subjects which the monographs will contain are to be set forth in a manner comprehensible not only to teach- ers and students specializing in mathematics, but also to scientific workers in other fields, and especially to the wide circle of thoughtful people who, having a moderate acquaintance with elementary mathematics, wish to extend their knowledge without prolonged and critical study of the mathematical journals and trea- tises. The scope of this series includes also historical and biographical monographs. The Carus Mathematical Monographs NUMBER FIVE A HISTORY OF MATHEMATICS IN AMERICA BEFORE 1900 By DAVID EUGENE SMITH Professor Emeritus of Mathematics Teacliers College, Columbia University and JEKUTHIEL GINSBURG Professor of Mathematics in Yeshiva College New York and Editor of "Scripta Mathematica" Published by THE MATHEMATICAL ASSOCIATION OF AMERICA with the cooperation of THE OPEN COURT PUBLISHING COMPANY CHICAGO, ILLINOIS THE OPEN COURT COMPANY Copyright 1934 by THE MATHEMATICAL ASSOCIATION OF AMKRICA Published March, 1934 Composed, Printed and Bound by tClfe QlolUgUt* $Jrr George Banta Publishing Company Menasha, Wisconsin, U. -
Peirce and the Founding of American Sociology
Journal of Classical Sociology Copyright © 2006 SAGE Publications London, Thousand Oaks and New Delhi Vol 6(1): 23–50 DOI: 10.1177/1468795X06061283 www.sagepublications.com Peirce and the Founding of American Sociology NORBERT WILEY University of Illinois, Urbana ABSTRACT This paper argues that Charles Sanders Peirce contributed signific- antly to the founding of American sociology, doing so at the level of philosophical presuppositions or meta-sociology. I emphasize two of his ideas. One is semiotics, which is virtually the same as the anthropologists’ concept of culture. This latter concept in turn was essential to clarifying the sociologists’ idea of the social or society. Peirce also created the modern theory of the dialogical self, which explained the symbolic character of human beings and proved foundational for social psychology. Politically Peirce was a right-wing conservative, but his ideas eventually contributed to the egalitarian views of culures and sub-cultures. In addition his ideas contributed, by way of unanticipated consequences, to the 20th- century human rights revolutions in the American legal system. Thus he was both a founder of sociology and a founder of American political liberalism. KEYWORDS early American sociology, inner speech, Peirce, semiotics Introduction Charles Sanders Peirce (1839–1914) originated several ideas that contributed to social theory, particularly to its philosophical underpinnings. Some of these are in unfamiliar contexts and in need of a slight re-framing or re-conceptualization. They also need to be related to each other. But, assuming these finishing touches, Peirce hadFirst a cluster of powerful insights that tradeProof heavily on the notions of the symbolic, the semiotic, the dialogical, the cultural and the self – ideas central to social theory. -
Victor Lenzen Papers, [Ca
http://oac.cdlib.org/findaid/ark:/13030/tf0580018d No online items Guide to the Victor Lenzen Papers, [ca. 1904-1975] Processed by The Bancroft Library staff The Bancroft Library. University of California, Berkeley Berkeley, California, 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu © 1997 The Regents of the University of California. All rights reserved. Note History --History, University of California --History, UC SystemHistory --History, University of California --History, UC BerkeleyGeographical (By Place) --University of California --University of California BerkeleySocial Sciences --Anthropology --ArchaeologyPhysical Sciences --PhysicsSocial Sciences --Education Guide to the Victor Lenzen BANC MSS 76/206 c 1 Papers, [ca. 1904-1975] Guide to the Victor Lenzen Papers, [ca. 1904-1975] Collection number: BANC MSS 76/206 c The Bancroft Library University of California, Berkeley Berkeley, California Contact Information: The Bancroft Library. University of California, Berkeley Berkeley, California, 94720-6000 Phone: (510) 642-6481 Fax: (510) 642-7589 Email: [email protected] URL: http://bancroft.berkeley.edu Processed by: The Bancroft Library staff Date Completed: ca. 1976 Encoded by: Xiuzhi Zhou © 1997 The Regents of the University of California. All rights reserved. Collection Summary Collection Title: Victor Lenzen papers, Date (inclusive): [ca. 1904-1975] Collection Number: BANC MSS 76/206 c Creator: Lenzen, Victor Fritz, 1890-1975 Extent: Number of containers: 5 cartons, 7 boxes and 1 oversize folder Repository: The Bancroft Library. Berkeley, California 94720-6000 Physical Location: For current information on the location of these materials, please consult the Library's online catalog. Abstract: Letters written to Lenzen and copies of letters by him; Mss. -
Benjamin Peirce and the Howland Will
Benjamin Peirce and the Howland Will Paul Meier; Sandy Zabell Journal of the American Statistical Association, Vol. 75, No. 371. (Sep., 1980), pp. 497-506. Stable URL: http://links.jstor.org/sici?sici=0162-1459%28198009%2975%3A371%3C497%3ABPATHW%3E2.0.CO%3B2-G Journal of the American Statistical Association is currently published by American Statistical Association. 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/astata.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 Tue Apr 1 14:55:42 2008 Beniamin Peirce and the Howland Will PAUL MElER and SANDY ZABELL* The Howland will case is possibly the earliest instance in American that the earlier will should be recognized. -
Mathematical Economics Comes to America: Charles S
A Service of Leibniz-Informationszentrum econstor Wirtschaft Leibniz Information Centre Make Your Publications Visible. zbw for Economics Wible, James R.; Hoover, Kevin D. Working Paper Mathematical Economics Comes to America: Charles S. Peirce's Engagement with Cournot's Recherches sur les Principes Mathematiques de la Theorie des Richesses CHOPE Working Paper, No. 2013-12 Provided in Cooperation with: Center for the History of Political Economy at Duke University Suggested Citation: Wible, James R.; Hoover, Kevin D. (2013) : Mathematical Economics Comes to America: Charles S. Peirce's Engagement with Cournot's Recherches sur les Principes Mathematiques de la Theorie des Richesses, CHOPE Working Paper, No. 2013-12, Duke University, Center for the History of Political Economy (CHOPE), Durham, NC This Version is available at: http://hdl.handle.net/10419/149703 Standard-Nutzungsbedingungen: Terms of use: Die Dokumente auf EconStor dürfen zu eigenen wissenschaftlichen Documents in EconStor may be saved and copied for your Zwecken und zum Privatgebrauch gespeichert und kopiert werden. personal and scholarly purposes. Sie dürfen die Dokumente nicht für öffentliche oder kommerzielle You are not to copy documents for public or commercial Zwecke vervielfältigen, öffentlich ausstellen, öffentlich zugänglich purposes, to exhibit the documents publicly, to make them machen, vertreiben oder anderweitig nutzen. publicly available on the internet, or to distribute or otherwise use the documents in public. Sofern die Verfasser die Dokumente unter Open-Content-Lizenzen (insbesondere CC-Lizenzen) zur Verfügung gestellt haben sollten, If the documents have been made available under an Open gelten abweichend von diesen Nutzungsbedingungen die in der dort Content Licence (especially Creative Commons Licences), you genannten Lizenz gewährten Nutzungsrechte. -
Some Views of Russell and Russell's Logic by His
SOME VIEWS OF RUSSELL AND RUSSELL’S LOGIC BY HIS CONTEMPORARIES, WITH PARTICULAR REFERENCE TO PEIRCE IRVING H. ANELLIS In the years prior to World War I, it was not yet definitively certain that the new logistic developed and espoused by Frege and Russell was the “wave of the future” of mathematical logic. Ernst Schröder’s Vorlesungen über die Algebra der Logik (1895– 1905) was still new and viewed as the cutting edge of (algebraic—as opposed to Aristote- lian) logic; Giuseppe Peano still proclaimed, in his earliest work on logic, his indebted- ness to George Boole, Charles Peirce, and Ernst Schröder, in the first footnote of his Arithmetices principia nova methodo exposita (1898), while, in a letter to Russell of 19 March 1901,1 Peano told Russell that his paper “Sur la logique des relations avec des ap- plications à la théorie des séries” on the logic of relations (1901) just “fills a gap between the work of Peirce and Schröder on the one hand and” his own “Formulaire on the other;” Alfred North Whitehead’s Treatise on Universal Algebra (1898) also still new, brought together the algebraic logic of Boole with the linear and multilinear algebras of Arthur Cayley, James Joseph Sylvester, William Rowan Hamilton, and Charles Peirce’s father Benjamin Peirce, and the calculus of extension of Hermann Grassmann. In his Treatise, Whitehead (p. x) not only named Hamilton and De Morgan as “the first to ex- press quite clearly the general possibilities of algebraic symbolism,” but continually ex- pressed his indebtedness to Boole, Grassmann, De Morgan, Schröder, and John Venn; and he described his Treatise (p. -
Philosophy of Mathematics: Selected Writings
Philosophy Peirce The philosophy of mathematics plays a hilosophy of Peirce’s most vital role in the mature philosophy of Charles s. Peirce. Peirce received rigorous P importa-nt mathematical training from his father and Ma-thema-tic his philosophy carries on in decidedly philosophy Selected Writings writings on the mathematical and symbolic veins. For S Peirce, math was a philosophical tool and philosophy of many of his most productive ideas rest firmly on the foundation of mathematical cha-rles S. Peirce ma-thema-tics principles. This volume collects Peirce’s most important writings on the subject, many appearing in print for the first time. “Focuses on the major Peirce’s determination to understand writings Peirce produced matter, the cosmos, and “the grand design” of the universe remain relevant that are of greatest for contemporary students of science, significance for a correct technology, and symbolic logic. of appreciation of his larger Charles s. PeirCe (1839–1914) Ma-thema-ti was one of america’s most prolific philosophical agenda.” philosophers. he is noted for his —JosePh W. Dauben, contributions to logic, mathematics, City university oF neW york science, and semiotics. MattheW e. Moore is associate Professor of Philosophy at brooklyn College. he is editor of New Essays on Peirce’s Mathematical Philosophy. c Selections from the Writings of Cha-rles S. Peirce s PeirCe Edition ProJeCt INDIANA University Press Bloomington & Indianapolis www.iupress.indiana.edu INDIANA Edited by Ma-tthew E. Moore 1-800-842-6796 Phil of Mathematics MECH.indd 1 6/30/10 10:04 AM Beings of Reason.book Page i Wednesday, June 2, 2010 6:06 PM Philosophy of Mathematics Beings of Reason.book Page ii Wednesday, June 2, 2010 6:06 PM Beings of Reason.book Page iii Wednesday, June 2, 2010 6:06 PM Philosophy of Mathematics Selected Writings Charles S. -
The Charles S. Peirce-Simon Newcomb Correspondence
The Charles S. Peirce-Simon Newcomb Correspondence Carolyn Eisele Proceedings of the American Philosophical Society, Vol. 101, No. 5. (Oct. 31, 1957), pp. 409-433. Stable URL: http://links.jstor.org/sici?sici=0003-049X%2819571031%29101%3A5%3C409%3ATCSPNC%3E2.0.CO%3B2-L Proceedings of the American Philosophical Society is currently published by American Philosophical Society. 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/amps.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 Tue Mar 11 07:51:41 2008 THE CHARLES S.