Grattan-Guinness was born in Bakewell, England; his father was a mathematics teacher and educational administrator.[1] He gained his bachelor degree as a Mathematics Scholar at Wadham College, Oxford, and an MSc (Econ) in Mathematical Logic and the Philosophy of Science at the London School of Economics in 1966.[1][3] He gained both the doctorate (PhD) in 1969, and higher doctorate (D.Sc.) in 1978, in the History of Science at the University of London. He was Emeritus Professor of the History of Mathematics and Logic at Middlesex University, and a Visiting Research Associate at the London School of Economics.
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.[2][7]
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.[1] 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 He did extensive research with original sources both published and unpublished, thanks to his reading and spoken knowledge of the main European languages.
1977. Dear Russell—Dear Jourdain: a Commentary on Russell's Logic, Based on His Correspondence with Philip Jourdain. Duckworth.[10]LCCN77-9431ISBN0231044607
1980. From the Calculus to Set Theory, 1630–1910: An Introductory History (with chapters written by H. J. M. Boset al.). Duckworth. LCCN80-489901ISBN0715612956
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 .
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.[11][12] (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.
1975. "Mathematical Bibliography for W. H. and G. C. Young." Historia Mathematica, Vol. 2, No. 1, February 1975, pp. 43-58.
1978. "How Bertrand Russell Discovered His Paradox." Historia Mathematica, Vol. 5, No. 2, May 1978, pp. 127-137.
1989.『The Earliest Contribution to Location Theory? Spatio-economic Equilibrium with Lamé and Clapeyron, 1829.』Mathematics and Computers in Simulation, Vol. 31, No. 3, July 1986, pp. 195-220.
1990. "The Varieties of Mechanics by 1800." Historia Mathematica, Vol. 17, No. 4, November 1990, pp. 313-338.
1992. "A Note on The Educational Times and Mathematical Questions" Historia Mathematica, Vol. 19, No. 1, February 1992, pp. 76-78.
1994. "Contributing to the Educational Times: Letters to W.J.C. Miller." Historia Mathematica, Vol. 21, No. 2, May 1994, pp. 204-205.
1996. "Numbers, Magnitudes, Ratios, and Proportions in Euclid's Elements: How Did He Handle Them?" Historia Mathematica, Vol. 23, No. 4, November 1996, pp. 355-375.
2000. "Christianity and Mathematics: Kinds of Link and the Rare Occurrences after 1750." Physis: Rivista Internazionale di Storia della Scienza XXXVII. Nuova Serie. Fasc. 2. 2000: 467–500.
2001. "Manifestations of Mathematics in and around the Christianities: Some Examples and Issues." Historia Scientiarum 11-1. July 2001: 48–84.
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.
2014. "From Anomaly to Fundament: Louis Poinsot's Theories of the Couple in Mechanics." Historia Mathematica, Vol. 41, No. 1, February 2014, pp. 82-102.
^Gillmor, G. Stewart (July 1973). "Review: Joseph Fourier, 1768–1830, by I. Grattan-Guinness". Technology and Culture. 14 (3): 501–503. doi:10.2307/3102345. JSTOR3102345.
