Ivor GrattanGuinness  

Born  Bakewell, England  23 June 1941
Died  12 December 2014 England  (aged 73)
Nationality  British 
Alma mater  Wadham College, Oxford London School of Economics University of London 
Known for  History of mathematics, history of logic 
Awards  Kenneth O. May Medal 
Scientific career  
Fields  Mathematician, historian, logician 
Institutions  Middlesex University London School of Economics 
Doctoral students  Niccolò Guicciardini 
Notes  
He shared a birthday with the mathematician Alan Turing, born 29 years earlier. 
Ivor Owen GrattanGuinness (23 June 1941 – 12 December 2014) was a historian of mathematics and logic.^{[1]}^{[2]}
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Transcription
Life
GrattanGuinness 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 was awarded the Kenneth O. May Medal for services to the History of Mathematics by the International Commission on the History of Mathematics (ICHM) on 31 July 2009, at Budapest, on the occasion of the 23rd International Congress for the History of Science.^{[4]} In 2010, he was elected an Honorary Member of the Bertrand Russell Society.
GrattanGuinness spent much of his career at Middlesex University.^{[5]} He was a fellow at the Institute for Advanced Study in Princeton, New Jersey, United States, and a member of the International Academy of the History of Science.^{[6]}
From 1974 to 1981, GrattanGuinness was editor of the history of science journal Annals of Science.^{[3]} In 1979 he founded the journal History and Philosophy of Logic,^{[1]} and edited it until 1992. He was an associate editor of Historia Mathematica for twenty years from its inception in 1974, and again from 1996.
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.
GrattanGuinness 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.
From 1986 to 1988, GrattanGuinness was the President of the British Society for the History of Mathematics, and for 1992 the VicePresident. In 1991, he was elected an effective member of the Académie Internationale d'Histoire des Sciences. He was the Associate Editor for mathematicians and statisticians for the Oxford Dictionary of National Biography (2004).
GrattanGuinness 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 GrattanGuinness.^{[2]}^{[7]}
The personal papers of GrattanGuinness are preserved at the Archives of American Mathematics. His offprint collection is held by the American Institute of Mathematics.
Work
The work of GrattanGuinness 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.
Selected publications
Books written
 1970. The Development of the Foundations of Mathematical Analysis from Euler to Riemann. MIT Press.^{[8]}
 1972. Joseph Fourier, 1768–1830 (In collaboration with J.R. Ravetz). MIT Press.^{[9]}
 1977. Dear Russell—Dear Jourdain: a Commentary on Russell's Logic, Based on His Correspondence with Philip Jourdain. Duckworth.^{[10]}
 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, ISBN 0850303168 .
 1990. Convolutions in French Mathematics, 1800–1840 in 3 Vols. Birkhauser.
 1997. The Rainbow of Mathematics: A History of the Mathematical Sciences. Fontana. ISBN 9780006861799 (pbk). W. W. Norton and Company (1999). ISBN 9780393046502 (hbk), ISBN 0393320308 (pbk).
 2000. (Reprint) From the Calculus to Set Theory 1630–1910: An Introductory History (with chapters written by H. J. M. Bos). Princeton University Press. ISBN 0691070822.
 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. ISBN 069105858X. Bibliography.^{[11]} (For research on this book he held a Leverhulme Fellowship from 1995 to 1997.)
 2009 Routes of Learning: Highways, Pathways, and Byways in the History of Mathematics. Johns Hopkins University Press. ISBN 0801892481.
Editions
 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.]
 GrattanGuinness' 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.
Books edited
 2003. Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, 2 vols. Johns Hopkins University Press. ISBN 0801873967
 2005. Landmark Writings in Western Mathematics. Elsevier.
Articles
 1975. "Mathematical Bibliography for W. H. and G. C. Young." Historia Mathematica, Vol. 2, No. 1, February 1975, pp. 4358.
 1978. "How Bertrand Russell Discovered His Paradox." Historia Mathematica, Vol. 5, No. 2, May 1978, pp. 127137.
 1989. "The Earliest Contribution to Location Theory? Spatioeconomic Equilibrium with Lamé and Clapeyron, 1829." Mathematics and Computers in Simulation, Vol. 31, No. 3, July 1986, pp. 195220.
 1990. "The Varieties of Mechanics by 1800." Historia Mathematica, Vol. 17, No. 4, November 1990, pp. 313338.
 1992. "A Note on The Educational Times and Mathematical Questions" Historia Mathematica, Vol. 19, No. 1, February 1992, pp. 7678.
 1994. "Contributing to the Educational Times: Letters to W.J.C. Miller." Historia Mathematica, Vol. 21, No. 2, May 1994, pp. 204205.
 1996. "Mozart 18, Beethoven 32: Hidden Shadows of Integers in Classical Music", pages 29 to 48 in History of Mathematics: States of the Art, edited by Joseph W. Dauben, Menso Folkerts, Eberhard Knobloch and Hans Wussing, Academic Press ISBN 0122040554
 1996. "Numbers, Magnitudes, Ratios, and Proportions in Euclid's Elements: How Did He Handle Them?" Historia Mathematica, Vol. 23, No. 4, November 1996, pp. 355375.
 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 111. July 2001: 48–84.
 2002. A Sideways Look at Hilbert's TwentyThree Problems of 1900, Notices of the American Mathematical Society 47: 752–57.
 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. 427462.
 2004. "The Mathematics of the Past: Distinguishing Its History From Our Heritage." Historia Mathematica, Vol. 31, No. 2, May 2004, pp. 163185.
 2008. "Foundations of Mathematics and Logicism," in Michel Weber and Will Desmond (eds.), Handbook of Whiteheadian Process Thought, Frankfurt / Lancaster, Ontos Verlag: 97104. Cf. Michel Weber, « Ivor GrattanGuinness, "Algebras, Projective Geometry, Mathematical Logic, and Constructing the World. Intersections in the Philosophy of Mathematics of A.N. Whitehead", Historia Mathematica 29, N° 4, 2002, pp. 427462 », Zentralblatt MATH, European Mathematical Society, Fachinformationszentrum Karlsruhe & SpringerVerlag, 1046.00003.
 2014. "From Anomaly to Fundament: Louis Poinsot's Theories of the Couple in Mechanics." Historia Mathematica, Vol. 41, No. 1, February 2014, pp. 82102.
References
 ^ ^{a} ^{b} ^{c} ^{d} ^{e} Crilly, Tony (31 December 2014). "Ivor GrattanGuinness obituary: Energetic historian of mathematics and logic". The Guardian.
 ^ ^{a} ^{b} Reisz, Matthew (8 January 2015). "Obituaries: Ivor GrattanGuinness, 1941–2014". Times Higher Education.
 ^ ^{a} ^{b} "Editor Profile: Professor Ivor GrattanGuinness" (PDF). Taylor & Francis. March 2005. Archived from the original (PDF) on 17 December 2014. Retrieved 11 January 2012.
 ^ Awarding of the K.O. May Prize from International Mathematical Union
 ^ "Academic Staff Profile: Prof Ivor GrattanGuinness". Middlesex University. 1999–2004. Archived from the original on 29 September 2007. Retrieved 11 January 2012.
 ^ Member profile, IAHS, retrieved 4 February 2015.
 ^ Dauben, J. W.; Guicciardini, N.; Lewis, A. C.; Parshall, K. H.; Rice, A. C. (2015). "In Memoriam: Ivor GrattanGuinness (June 23, 1941–December 12, 2014)". Historia Mathematica. 42: 385–406.
 ^ Waterhouse, William C. (1972). "Review: Lebesgue's Theory of Integration, by Thomas Hawkins; A History of Vector Analysis, by Michael J. Crowe; The Development of the Foundations of Mathematical Analysis from Euler to Riemann, by I. GrattanGuinness; and Die Genesis des abstrakten Gruppenbegriffes, by Hans Wussing" (PDF). Bull. Amer. Math. Soc. 78 (3): 385–391. doi:10.1090/S000299041972129094.
 ^ Gillmor, G. Stewart (July 1973). "Review: Joseph Fourier, 1768–1830, by I. GrattanGuinness". Technology and Culture. 14 (3): 501–503. doi:10.2307/3102345. JSTOR 3102345.
 ^ Sainsbury, R. M. (October 1979). "Review: Dear Russell—Dear Jourdain, by I. GrattanGuinness". Mind. New Series. 88 (352): 604–607. doi:10.1093/mind/LXXXVIII.1.604. JSTOR 2253463.
 ^ Ewald, William (2003). "Review: The search for mathematical roots, 1870–1940: Logics, set theories, and the foundations of mathematics from Cantor through Russell to Gödel, by I. GrattanGuinness" (PDF). Bull. Amer. Math. Soc. (N.S.). 40 (1): 125–129. doi:10.1090/s027309790200959x.
External links
 Encomium at Mathematical Sciences Foundation
 Ivor GrattanGuinness publications indexed by Microsoft Academic
 (in French) Hommage à I. GrattanGuinness, December 2014.
 Ivor GrattanGuinness at the Mathematics Genealogy Project