Albert C. Lewis

M.Sc. in Computation, Department of Computer Science and Systems, McMaster University, Canada.  1993

Final project report: “Hypertext tools for an editorial project: an evaluation of SmarText”.

Ph.D. 1975 in History of Mathematics; M.A. 1969 and B.A. 1966 in Mathematics, minor in Classical Greek. University of Texas at Austin.  1963–75

New York University, New York City.  Spring Semester 1963

Wymondham College, Wymondham, England: General Certificate of Education, Advanced Level, in Physics, Pure Mathematics, and Applied Mathematics.  1960–62 News & Notices

Educational Advancement Foundation, Austin, Texas. Trustee 2008–2011. Consultant, Policy Advisory Group, The Legacy of R.L. Moore Project, 1998– .

Associate Editor, Peirce Edition Project, Indiana University—Purdue University, Indianapolis.  1997–2008

Research Associate in History of Mathematics,  Bertrand Russell Editorial Project,  McMaster University, Hamilton, Ontario, Canada.  1984–88, 1989–92, 1993–97

Visiting Research Fellow, Centre for the New Oxford English Dictionary and Text Research, University of Waterloo, Waterloo, Ontario.  April 1989

Using the Centre’s tools for applying Standard Generalized Markup Language to Russell’s Collected Papers.

Instructor, Department of Mathematics, Austin Community College, Austin Texas. 
  Spring and Summer 1983

Lecturer, Department of Mathematics, University of Texas at Austin. 
  Spring and Summer Semester, 1982

Curator, History of Science Collections, Harry Ransom Humanities Research Center, University of Texas at Austin.  1977–81

Fellow, Alexander von Humboldt Foundation, for research in history of mathematics in Federal Republic of Germany.  1975–76

Academic Assistant, Department of Philosophy, University of Texas at Austin.  1971-73

Graduate Fellowship, National Science Foundation.  1971–74

At the University of Texas at Austin with two terms resident in Cambridge University attending history of science seminars.

Family genealogist, Halsted B. VanderPoel.  1971–76

Research in public genealogical records in New York City, Paris, London, Amsterdam, and Salt Lake City.

Assistant Instructor, Teaching Associate, and Teaching Assistant, Department of Mathematics, University of Texas at Austin.  1966–71

Clerical Assistant, Rare Book Library (now the Harry Ransom Humanities Research Center), University of Texas at Austin.  1963–65

Student Associate, Imaging Project, Advanced Systems Design Division, IBM Corporation, White Plains, New York.  Oct.-Dec. 1962

 

Association for Documentary Editing: Committee on Electronic Edition Standards, 2000– .

Biographer of the American mathematicians R. L. Moore (d. 1974) and his teacher George Bruce Halsted (d. 1922).

American Mathematical Society (AMS): Archives Committee and AMS–MAA Joint Committee on Archives, 2001–2004.

Mathematical Association of America (MAA): Committee on Archives of American Mathematics, 1979–81, 1984–91; ad hoc subcommittee of Committee on World War II History, 1981; Program Committee for 1994 Cincinnati Meeting, 1993–94; AMS–MAA Joint Committee on Archives, 1993–1997.

Editor, Norbert Wiener: Selected Correspondence. (Cambridge, Massachusetts:  MIT Press). In progress.

Advisory Editorial Board for bibliography and reference, Encyclopaedia of the History and Philosophy of the Mathematical Sciences, I. Grattan-Guinness, ed. (London: Routledge, 1993). 2 volumes.

Editor in charge of abstracts department, Historia Mathematica: International Journal of History of Mathematics (Academic Press), 1977–88.

Editorial board, Ganita-Bharati. Bulletin of the Indian Society for History of Mathematics. 1983–93.

History of Science Society, Mathematical Association of America, American Mathematical Society, Canadian Society for History and Philosophy of Mathematics, British Society for History of Mathematics,  and The Honor Society of Phi Kappa Phi.

English, German, and reading knowledge of  French, Classical Greek, and, to some extent, Latin.

 

Essay review of Geraldine Brady, From Peirce to Skolem: A neglected chapter in the history of logic, Notre Dame Journal of Formal Logic 45(2004): 247-256. PDF of preprint (147KB).

“The beginnings of the R. L. Moore school of topology,” Historia Mathematica, 31 (2004): 279–295. PDF of preprint (236KB)

“Kenneth O. May and information retrieval in mathematics,” Historia Mathematica, 31(2004): 186–195.

“The unity of logic, pedagogy and foundations in Grassmann's mathematical work,” History and Philosophy of Logic, 25 (2004): 15–36. PDF of preprint. (446 KB)

 “William Kingdon Clifford” and “William Rowan Hamilton”, New Dictionary of National Biography (Oxford: Oxford University Press, 2004).

“The contrasting views of Charles S. Peirce and Bertrand Russell on Cantor’s transfinite paradise”, Proceedings of the Canadian Society for History and Philosophy of Mathematics, vol. 13 (2000): 159–166.

Chief Editor, The History of Mathematics from Antiquity to the Present: A Selective Bibliography. Enlargement of first edition (1985) edited by J. W. Dauben. Forty contributing editors. CD-ROM. (American Mathematical Society, 2000).

Associate Editor, Writings of Charles S. Peirce: A Chronological Edition, Vol. 6: 1886–1890. Bloomington/Indianapolis: Indiana University Press, 2000.

Assistant Editor, The Collected Papers of Bertrand Russell. Vol. 15: Uncertain Paths to Freedom: Russia and China, 1919–22. Richard A. Rempel, editor. London: Routledge, 2000.

Associate Editor, The Essential Peirce: Selected Philosophical Writings, Vol. 2: 1893–1913.  Bloomington/Indianapolis: Indiana University Press, 1998.

 “R. H. Bing”, “George Bruce Halsted”, “Robert Lee Moore”, “Benjamin Osgood Peirce”, “David Eugene Smith”, and “Gordon T. Whyburn”, American National Biography, J. A. Garraty, ed. (Oxford University Press, 1998).

 “The influence of pedagogy of geometry on the foundations of mathematics”, invited paper, pp. 13–20 in Histoires de Géométries: Textes du séminaire de l’anneé 1996, Paris: Maison des Sciences de l’Homme, 1997.

“Hermann Grassmann’s n-dimensional vector concept”, invited paper, pp. 139–48 in Le nombre, une hydre à n visages: entre nombres complexes et vecteurs, Paris: Maison des Sciences de l’Homme, 1997.

“The influence of Grassmann’s 1840 theory of tides on the Ausdehnungslehre”, invited paper, pp. 29–36 in Hermann Günther Grassmann (1809–1877)—Visionary Mathematician, Scientist and Neohumanist Scholar, Proceedings, Rügen, Germany, 23–28 May 1994. G. Schubring, editor. Kluwer, 1996.

“Some influences of Hermann Grassmann’s program on modern logic”, invited paper, pp. 377–82 in Studies on the History of Logic: Proceedings of the III. Symposium on the History of Logic, I. Angelelli and M. Cerezo, editors. (Perspektiven der Analytischen Philosophie, Bd. 8.) Berlin/New York: Walter de Gruyter, 1996.

“Hermann Grassmann and the algebraization of arithmetic”, invited paper, pp. 47–58 in Hermann Graßmann, Werk und Wirkung. Internationale Fachtagung anläßlich des 150. Jahrestages des ersten Erscheinens der “linealen Ausdehnungslehre” (Lieschow/Rügen 23.-28.5.1994). Greifswald: Ernst-Moritz-Arndt-Universität, 1995.

Foreword to H. Grassmann, A New Branch of Mathematics: The ‘Ausdehnungslehre’ of 1844, and Other Works, translated by L.C. Kannenberg. Chicago: Open Court Publishing, 1995.

Assistant Editor, The Collected Papers of Bertrand Russell. Vol. 14: Pacifism and Revolution, 1916–18. Richard A. Rempel, editor. London: Routledge, 1995. lxxxii, 630 pp.

Assistant Editor, The Collected Papers of Bertrand Russell. Vol. 4: Foundations of Logic, 1903–05. Alasdair Urquhart, editor. London: Routledge, 1994. lii+743 pp.

 “Why archive?”, Notices of the American Mathematical Society, 40(1993): 847–9, and FOCUS: The Newsletter of the Mathematical Association of America, 13, No. 1 (August 1993): 11–2. Written on behalf of the AMS–MAA Committee on Archives.

“Complex numbers and vectors”, Encyclopaedia of the History and Philosophy of the Mathematical Sciences, I. Grattan-Guinness, ed. (London: Routledge, 1993).

 “Robert Lee Moore” in Dictionary of Scientific Biography. Supplement II. F.L. Holmes, ed. (New York: Charles Scribner’s Sons, 1990).

Co-editor with Nicholas Griffin, The Collected Papers of Bertrand Russell. Vol. 2: Philosophical Papers, 1896–99. London: Unwin Hyman, 1990. xxxix+647 pp.

“Bertrand Russell’s mathematical education”, with Nicholas Griffin, Notes and Records of the Royal Society 44(1990): 51–71. 

“An introduction to the Bertrand Russell Editorial Project: axiomatics in Russell”, invited paper, Estudios de Historia de la Logica. Actas del II Simposio de Historia de la Logica, Universidad de Navarra, Pamplona, 25-27 de Mayo de 1987. I. Angelelli and A. d’Ors, eds. (Pamplona: Ediciones Eunate, 1990), pp. 353-61.

“The influence of Roger Boscovich in Bertrand Russell’s early philosophy of physics”, Synthesis Philosophica (Zagreb) 4(1989): 649–58. Translated as “Utjecaj Rudoera Boškovicca na ranu filozofiju fizike Bertranda Russella”, Filozofska Istrazivanja (Zagreb) 32–33(1989): 1611–20. 

“The building of the University of Texas mathematics faculty, 1883–1938”, pp. 205–39 in A Century of Mathematics in America - Part III. Peter Duren, ed. (Providence, Rhode Island: American Mathematical Society, 1989). 

Introduction to “Autobiographical remarks by Ronald W. Clark”, Russell: The Journal of the Bertrand Russell Archives n.s., 9(1989): 60–1.

“Computer-aided finding aids in the Russell Archives”, Russell n.s., 7(1987–88): 167–70.

Author and subject indexes to some 5,000 abstracts. Historia Mathematica 13(1986): 391–423; 14(1987): 79–117.

“The Toronto Russell Conference”, Russell n.s. 3(1983–84): 329–34. A shorter version of the same report is in Historia Mathematica 12(1985): 74–8.

Contributor to The History of Mathematics from Antiquity to the Present: A Selective Bibliography, J.W. Dauben, ed. (New York: Garland Publishing, 1985).

“Botany from Linnaeus to Lamarck”, Wrightia: A Botanical Journal 7(1982): 27–37.

On an exhibition of 18th-century books and colored engravings from the Lundell Library of the Humanities Research Center. From a separate exhibition guide.

“F. Schleiermacher’s influence on H. Grassmann’s mathematics”, Social History of Nineteenth Century Mathematics, H. Mehrtens, et al., eds. (Boston: Birkhuser, 1981) pp. 246–54.

“Justus Grassmann’s school programs as mathematical antecedents of Hermann Grassmann’s 1844 Ausdehnungslehre”, Epistemological and Social Problems of the Sciences in the Early Nineteenth Century, H.N. Jahnke and M. Otte, eds. (Dordrecht: D. Reidel, 1981) pp. 255–68.

A Selection of Books and Manuscripts on Logic from the History of Science Collection, The Humanities Research Center. Exhibited on the Occasion of the History of Logic Conference at the University of Texas at Austin, 17–18 April 1980.  Leaflet prepared with Ignacio Angelelli.

“The Origin of Finger-Printing: An addition to the Herschel Collection”, The Library Chronicle of The University of Texas at Austin, n.s. No. 14(1980): 23–4.

“History of Science Collection”, Discovery: Research and Scholarship at The University of Texas at Austin, 4(1980): 18–21.

Albert Einstein, 1879–1955. A Centenary Exhibition of Manuscripts, Books, and Portraits Selected from the Humanities Research Center Collections. With a Preface by John A. Wheeler. (Austin: Humanities Research Center, 1979) 36 pp.

Introduction to Albert Einstein: Four Commemorative Lectures (Austin: Humanities Research Center, 1979) 64 pp.

An outcome of organizing a program of public lectures by L.S. Swenson, C.P. Snow, H. Stein, and I. Prigogine.

“An archive for American mathematics”, The Mathematical Intelligencer 1(1978): 175–6

“The establishment of  The Archives of American Mathematics”, Historia Mathematica 5(1978): 340–1.

“H. Grassmann’s 1844 Ausdehnungslehre and Schleiermacher’s Dialektik”, Annals of Science 34(1977): 103–62.

“Robert Lee Moore”, The Handbook of Texas. A Supplement. Vol. 3. (Austin: The Texas State Historical Association, 1976).

“George Bruce Halsted and the development of American mathematics”, Men and Institutions in American Mathematics (Graduate Studies, Texas Tech University, No. 13, 1976), pp. 123–29.

“History of mathematics at the American Association for the Advancement of Science Annual Meeting, Boston 18–24 February 1976”, a report in Historia Mathematica 3(1976): 218–9.

“Bringing  modern mathematics to bear on historical research”,  a note in Historia Mathematica 2(1975): 84–5.

“Halsted’s translation of Lobachevskii’s ‘Theory of Parallels’: an historical introduction”, The Texas Quarterly 16(1973): 85–91.

“Apollonius of Perga”, “Archimedes”, “Euclid”, and “Eudoxus”, in The McGraw-Hill Encyclopedia of World Biography, (New York: McGraw-Hill, 1973).

 

For the Bertrand Russell Editorial Project:

Structural Specifications of Volume 14, “The Collected Papers of Bertrand Russell”. January 1995.

An Ad Hoc Typesetting System for Mathematical Logic Using WordPerfect and PostScript. November 1995.

Planning and content maintenance for the URLs:

American Mathematical Society–Mathematical Association of America Joint Archives Committee

  http://www.ams.org/mathweb/History/archive-comm.html

B. Bolzano-Gesamtausgabe. Reihe II: Nachlass. A. Nachgelassene Schriften 15. Zentralblatt für Mathematik 1111.01010.

J. Ferreirós and J.J. Gray, eds., The architecture of modern mathematics: Essays in history and philosophy. History and Philosophy of Logic 29 (2008): 197-8.

F. Hausdorff, Felix Hausdorff---gesammelte Werke. Band V. Mathematical Reviews, 2007c:01011.

F. Hausdorff, Felix Hausdorff---gesammelte Werke. Band IV. Mathematical Reviews, 2007b:01024.

Kurt Gödel. The Album, Zentralblatt für Mathematik, Zbl 1094.01013

Bolzano--Gesamtausgabe. Reihe II: Nachlass. B. Wissenschaftliche Tagebücher 11.2, Zentralblatt für Mathematik, Zbl 1089.01014. 

P. Cassou-Noguès. Gödel. Figures du Savoir. Zentralblatt für Mathematik, Zbl 1086.01031.

F. Hausdorff.. Hausdorff on ordered sets. Zentralblatt für Mathematik, Zbl 1081.01025

Archimedes, The works of Archimedes. Vol. I. R. Netz, ed. Mathematical Reviews, 2005g:01006.

K.G. Steffens. Zur Entstehungsgeschichte der Approximationstheorie unter besonderer Berücksichtigung der Beiträge der St. Petersburger Mathematischen Schule um P. L. Chebyshev. Zentralblatt für Mathematik, Zbl 1004.01014.

B. Bolzano. Grössenlehre IV. Functionenlehre, Verbesserungen und Zusätze zur Functionenlehre. Zentralblatt für Mathematik, Zbl 0961.01038.

M. Davis, The Universal Computer. Zentralblatt für Mathematik, Zbl 0960.01001.

Essinger. Jacquard's web. How a hand-loom led to the birth of the information age. Zentralblatt für Mathematik, Zbl 1075.01013.

L. Euler, Lettres à une princesse d'Allemagne. S. D. Chatterji, ed. Mathematical Reviews, 2004f:01024.

S. Hawking, ed. On the shoulders of giants. The great works of physics and astronomy. Mathematical Reviews, 2004a:01044.

K. Gödel, Collected Works, Isis 95 (2004): 162-163.

B. Bolzano. The mathematical works of Bernard Bolzano. Zentralblatt für Mathematik, Zbl 1065.01015.

K.V. Parshall, and A.C. Rice, eds., Mathematics unbound: the evolution of an international mathematical research community, 1800--1945. Mathematical Reviews, 2003g:01053.

B.H. Yandell,. The honors class. Hilbert's problems and their solvers. Mathematical Reviews,2003b:01037.

H. Eves, Mathematical reminiscences. G. L. Alexanderson, ed. Mathematical Reviews, 2003f:00009.

J. Albree, Station Favorable to the Pursuits of Science. Mathematical Reviews, 2001a:01071.

J. Gray, The Hilbert challenge. Mathematical Reviews, 2002c:01037.

G.M. Phillips, Two millennia of mathematics. From Archimedes to Gauss. Mathematical Reviews, 2001f:01010.

D.E. Knuth. Things a computer scientist rarely talks about. Zentralblatt für Mathematik, Zbl 1033.00011.

B.  Bernard. Bolzano-Gesamtausgabe. Reihe II: Nachlass. B. Wissenschaftliche Tagebücher. 9.2. Zentralblatt für Mathematik, Zbl 1001.01018.

N. Wiener. Futurum exactum. Ausgewählte Schriften zur Kybernetik und Kommunikationstheorie. Zentralblatt für Mathematik, Zbl 0989.01026.

E. Menzler-Trott. Gentzens Problem. Mathematische Logik im nationalsozialistischen Deutschland. Zentralblatt für Mathematik, Zbl 0987.01018

J. Albree et al., eds., A station favorable to the pursuits of science. Primary materials in the history of mathematics at the United States Military Academy. Mathematical Reviews, 2001a:01071.

G.J. Chaitin. Conversations with a mathematician. Math, art, science and the limits of reason. Zentralblatt für Mathematik, Zbl 0980.01019.

Brieftagebuch zwischen Max Planck, Carl Runge, Bernhard Karsten und Adolf Leopold. Mathematical Reviews, 2001i:01065.

I. Newton. The principia: mathematical principles of natural philosophy. Newly translated from the 3rd edition (1726) by I. Bernard Cohen and Anne Whitman, assisted by Julia Budenz. Zentralblatt für Mathematik, Zbl 0961.01034.

H.G.W. Begehr, et al., eds., Mathematics in Berlin. Mathematical Reviews, 99k:01080.

J. Barrow-Green, Poincaré and the Three Body Problem. The Mathematical Gazette (July 1999).

W.J.H. Andrewes, ed., The Quest for Longitude. Historia Mathematica 26(1999): 178-180.

S. Nasar. A Beautiful Mind. Mathematical Reviews, 99j:01021.

J. Greenberg, The Problem of the Earth's Shape from Newton to Clairaut. Historia Mathematica 25(1998): 320-325.

D. Siefkes, et al., eds.Pioniere der Informatik. Ihre Lebensgeschichte im Interview. Zentralblatt für Mathematik, Zbl 0914.01013.

B. Dotzler, ed., Babbages Rechen-Automate. Zentralblatt für Mathematik, Zbl 0853.01012.

J. W. Dauben, Abraham Robinson: The Creation of Nonstandard Analysis. Isis 86(1995): 673–4.

H. Riede, Die Einführung des Ableitungsbegriffs. Annals of Science 52(1995): 623–4.

S. Bennett, A History of Control Engineering, 1930–1955. Zentralblatt für Mathematik, to appear.

M. H. Price, Mathematics for the Multitude? A History of the Mathematical Association. Isis 86(1995): 349–50.

R. Wagner-Döbler and J. Berg, Mathematische Logik von 1847 bis zur Gegenwart. Eine bibliometrische Untersuchung. History and Philosophy of Logic 16(1995): 136–7.

J. Brent, Charles Sanders Peirce: A Life. Mathematical Reviews, 94h:01035.

A. R. Garciadiego, Bertrand Russell and the Origins of the Set-Theoretic Paradoxes. Zentralblatt für Mathematik, 787.01013.

C. Reid, The Search for E. T. Bell. Historia Mathematica 22(1995): 78–80.

J. Echeverria, et al., eds., The Space of Mathematics: Philosophical, Epistemological, and Historical Explorations. History and Philosophy of Logic 14(1993): 224–6.

H. Sinaceur, Corps et modèles: Essai sur l’histoire de l’algèbre réelle. Isis 83(1992): 513–4.

P. Masani, Norbert Wiener, 1894–1964. Historia Mathematica 19(1992): 316–9.

P. Hylton, Russell, Idealism, and the Emergence of Analytic Philosophy. History and Philosophy of Logic 13(1992): 238–40.

H. Simon, Models of My Life. Russell n.s. 11(1991–92): 223–4.

J. Richards, Mathematical Visions: the Pursuit of Geometry in Victorian England. Historia Mathematica 17(1990): 272–8. 

P. G. Kuntz, Bertrand Russell. Russell n.s. 9(1989–90): 179–84.

H. Weyl, The Continuum. History and Philosophy of Logic 11(1989): 115.

P. Masani, ed., Norbert Wiener: Collected Works with Commentaries. Vol. 4. Annals of the History of Computing 10(1988): 81–3.

V. Lowe, Alfred North Whitehead: the Man and His Work. Vol. I: 1861–1910.  Historia Mathematica 15(1988): 176–9.

W. Purkert and H.J. Ilgauds, Georg Cantor. Annals of Science 43(1986): 489–90.

L’Oeuvre de Louis Couturat (1878–1914) : de Leibniz à Russell. Russell n.s. 5(1985–86): 184–5.

D.M. Campbell and J.C. Higgins, ed., Mathematics: People, Problems, Results.  Annals of Science, 43(1986): 102–3.

P. Kitcher, The Nature of Mathematical Knowledge.  History and Philosophy of Logic 6(1985): 141–4.

L. Novy and J. Folta, Bernard Bolzano (1781–1848) Bicentenary. Early Mathematical Works.  Annals of Science 40(1983): 314.

D.M. Johnson, “The problem of the invariance of dimension the growth of modern topology”, Archive for History of Exact Sciences 20(1979): 97–188; 25(1981): 85–267; Mathematical Reviews 80k:01034; 83e:01050.

D. Tarwater, ed., The Bicentennial Tribute to American Mathematics, 1776–1976.  Historia Mathematica 8(1981): 85–90.

J. W. Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite. Isis 71(1980): 493–4.

G. B. Price, History of the Department of Mathematics of the University of Kansas, 1866–1970. Historia Mathematica  6(1979): 334–6.

J. M. Dubbey, The Mathematical Work of Charles Babbage. Annals of Science 36(1979): 196–8.

209 article reviews in history of mathematics and history of computers, Mathematical Reviews and Zentralblatt für Mathematik und ihre Grenzgebiete, 1980 to present.

2,809 abstracts, Historia Mathematica, 1978 to 2005.

Invited talks, either individual lectures or a principal talk at a conference:

Topology and Dynamics Conference, San Antonio, 2000. Texas--Polish Connection in the History of Topology.

Logic Colloquium, State University of New York at Buffalo, 1990. Grassmann.

British Society for History of Mathematics, 1988, Leicester University. Bertrand Russell.

Canadian Society for History and Philosophy of Mathematics, Annual Meeting, Montreal, 1985. Bertrand Russell.

Institute for Medicine and Mathematics, Ohio University. R. L. Moore.

Philosophisches Institut, Technische Universitt, Berlin. Grassmann's dialetical philosophy.

Dept. of Mathematics, University of Guelph, Ontario. Beginnings of U.S. mathematics.

Dept. of Mathematics, Technische Hochschule, Aachen. Grassmann.

Institute of History and Philosophy of Science and Technology, University of Toronto. Grassmann.

Dept. of Mathematics, Stephen F. Austin State University. R. L. Moore.

Dept. of Mathematics, University of Virginia. G. B. Halsted.