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

Employment and Research Fellowships

Educational Advancement Foundation, Austin, Texas. Trustee 2008–2017. Senior Advisor, Lucas Petroleum Group, 2008–2016. Consultant, 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


Other Experience

Association for Documentary Editing: Committee on Electronic Edition Standards, 2000–2002.

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.

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.



“Ivor Grattan-Guinness (1941-2014)” Russell: the Journal of Bertrand Russell Studies n.s. 35(2015): 177–80.

“In Memoriam: Ivor Grattan-Guinness (June 23, 1941–December 12, 2014)” with J.W. Dauben, N. Guicciardini, K.H. Parshall, A.C. Rice, Historia Mathematica 42(2015): 385–406.

“The divine truth of mathematics and the origins of linear algebra,” Theology and Science, 9(2011): 109120.

Editor with Petsche, H.-J.; Liesen, J.; Russ, S., From Past to Future: Graßmann's Work in Context. Graßmann Bicentennial Conference, September 2009. Basel: Springer, 2011.

"Some philosophical influences of the Ausdehnungslehre," in From Past to Future: Graßmann's Work in Context. H.-J. Petsche et al. eds. Basel: Springer, 2011.

Associate Editor, Writings of Charles S. Peirce: A Chronological Edition, Vol. 8: 1890–1892. Bloomington/Indianapolis: Indiana University Press, 2010.

“H.G. Grassmann” in Handbook of Whiteheadian Process Thought, M. Weber, W. Desmond, eds., Frankfurt: ontos, 2008.

“H. G. Grassmann, Ausdehnungslehre of 1844,” and “W. R. Hamilton, Lectures on Quaternions,” in Landmark Writings in Western Mathematics, 1640–1940, I. Grattan-Guinness, ed., Amsterdam: Elsevier, 2005.

“G.B. Halsted and Norbert Wiener,” The Dictionary of Modern American Philosophers (Thoemmes, 2005).

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): 159166.

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). CHOICE Outstanding Academic Title Award for 2001. Available through the AMS Bookstore.

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, 191922. 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, 189699. 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, 1718 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, 18791955. 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).


Technical Reports

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.