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He also acted as advisory editor to the editions of the writings of C.S. Peirce and Bertrand Russell, and to several other journals and book series. He was a member of the Executive Committee of the International Commission on the History of Mathematics from 1977 to 1993.
Grattan-Guinness gave over 570 invited lectures to organisations and societies, or to conferences and congresses, in over 20 countries around the world. These lectures include tours undertaken in Australia, New Zealand, Italy, South Africa and Portugal.
Grattan-Guinness took an interest in the phenomenon of coincidence and has written on it for the Society for Psychical Research. He claimed to have a recurrent affinity with one particular number, namely the square of 15 (225), even recounting one occasion when a car was in front of him with the number plate IGG225, i.e. his very initials and that number. He died of heart failure on 12 December 2014, aged 73, survived by his wife Enid Grattan-Guinness.
The work of Grattan-Guinness touched on all historical periods, but he specialised in the development of the calculus and mathematical analysis, and their applications to mechanics and mathematical physics, and in the rise of set theory and mathematical logic. He was especially interested in characterising how past thinkers, far removed from us in time, view their findings differently from the way we see them now (for example, Euclid). He has emphasised the importance of ignorance as an epistemological notion in this task. He did extensive research with original sources both published and unpublished, thanks to his reading and spoken knowledge of the main European languages.
1970. The Development of the Foundations of Mathematical Analysis from Euler to Riemann. MIT Press.
1972. Joseph Fourier, 1768-1830 (In collaboration with J.R. Ravetz). MIT Press.
1977. Dear Russell--Dear Jourdain: a Commentary on Russell's Logic, Based on His Correspondence with Philip Jourdain. Duckworth.
1980. From the Calculus to Set Theory, 1630-1910: An Introductory History (with chapters written by H. J. M. Bos). Duckworth.
1982. Psychical Research: A Guide to Its History, Principles & Practices - in celebration of 100 years of the Society for Psychical Research, Aquarian Press, ISBN0-85030-316-8 .
1990. Convolutions in French Mathematics, 1800-1840 in 3 Vols. Birkhauser.
2000. The Search for Mathematical Roots, 1870-1940: Logics, Set Theories, and the Foundations of Mathematics from Cantor through Russell to Gödel. Princeton University Press. ISBN0-691-05858-X. Bibliography. (For research on this book he held a Leverhulme Fellowship from 1995 to 1997.)
W.H. and G.C. Young, The theory of sets of points, 2nd edition (ed. with R.C.H. Tanner; 1972, New York: Chelsea). [Introduction and appendix.]
E.L. Post, "The modern paradoxes", History and philosophy of logic, 11 (1990), 85-91.
Philip E. B. Jourdain, Selected essays on the history of set theory and logics (1906-1918), (1991, Bologna: CLUEB), xlii + 352 pages. [Introduction and indexes.]
George Boole, Selected manuscripts on logic and its philosophy (ed. with G. Bornet, 1997, Basel: Birkhäuser), lxvi + 236 pages.[Part Introduction and editorial material.]
Grattan-Guinness' The Search for Mathematical Roots 1870-1940 is a sweeping study of the rise of mathematical logic during that critical period. The central theme of the book is the rise of logicism, thanks to the efforts of Frege, Bertrand Russell, and Alfred Whitehead, and its demise due to Gödel and indifference. Whole chapters are devoted to the emergence of algebraic logic in the 19th century UK, Cantor and the emergence of set theory, the emergence of mathematical logic in Germany told in a way that downplays Frege's importance, and to Peano and his followers. There follow four chapters devoted to the ideas of the young Bertrand Russell, the writing of both The Principles of Mathematics and Principia Mathematica, and to the mixed reception the ideas and methods encountered over the period 1910-40. The book touches on the rise of model theory as well as proof theory, and on the emergence of American research on the foundation of mathematics, especially in the hands of E. H. Moore and his students, of the postulate theorists, and of Quine. While Polish logic is often mentioned, it is not covered systematically. Finally, the book is a contribution to the history of philosophy as well as of mathematics.
2003. Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, 2 vols. Johns Hopkins University Press. ISBN0-8018-7396-7
2002. "Algebras, Projective Geometry, Mathematical Logic, and Constructing the World: Intersections in the Philosophy of Mathematics of A. N. Whitehead." Historia Mathematica, Vol. 29, No. 4, November 2002, pp. 427-462.
2004. "The Mathematics of the Past: Distinguishing Its History From Our Heritage." Historia Mathematica, Vol. 31, No. 2, May 2004, pp. 163-185.