Revolutions in Mathematics
Encyclopedia
Revolutions in Mathematics is an influential collection of essays in the history and philosophy of mathematics.
Contents
- Michael J. Crowe, Ten "laws" concerning patterns of change in the history of mathematics (1975) (15–20);
- Herbert Mehrtens, T. S. Kuhn's theories and mathematics: a discussion paper on the "new historiography" of mathematics (1976) (21–41);
- Herbert Mehrtens, Appendix (1992): revolutions reconsidered (42–48);
- Joseph DaubenJoseph DaubenJoseph W. Dauben is a Herbert H. Lehman Distinguished Professor of History at the Graduate Center of the City University of New York. He obtained his Ph.D...
, Conceptual revolutions and the history of mathematics: two studies in the growth of knowledge (1984) (49–71); - Joseph Dauben, Appendix (1992): revolutions revisited (72–82);
- Paolo Mancosu, Descartes's Géométrie and revolutions in mathematics (83–116);
- Emily Grosholz, Was Leibniz a mathematical revolutionary? (117–133);
- Giulio GiorelloGiulio GiorelloGiulio Giorello is an Italian philosopher, mathematician, and epistemologist.-Biography:Giorello graduated with a degree in philosophy in 1968 and in mathematics in 1971 at the University of Milan. While there he studied under the philosopher Ludovico Geymonat...
, The "fine structure" of mathematical revolutions: metaphysics, legitimacy, and rigour. The case of the calculus from Newton to Berkeley and Maclaurin (134–168); - Yu Xin Zheng, Non-Euclidean geometry and revolutions in mathematics (169–182);
- Luciano Boi, The "revolution" in the geometrical vision of space in the nineteenth century, and the hermeneutical epistemology of mathematics (183–208);
- Caroline Dunmore, Meta-level revolutions in mathematics (209–225);
- Jeremy GrayJeremy GrayJeremy Gray is an English mathematician primarily interested in the history of mathematics.He studied mathematics at Oxford University from 1966 to 1969, and then at Warwick University, obtaining his Ph.D. in 1980 under the supervision of Ian Stewart and David Fowler. He has worked at the Open...
, The nineteenth-century revolution in mathematical ontology (226–248); - Herbert Breger, A restoration that failed: Paul Finsler's theory of sets (249–264);
- Donald A. GilliesDonald A. GilliesDonald A. Gillies is a British philosopher and historian of science and mathematics. He is an Emeritus Professor in the Department of Science and Technology Studies at University College, London.-Career:...
, The Fregean revolution in logic (265–305); - Michael Crowe, Afterword (1992): a revolution in the historiography of mathematics? (306–316).
Reference
- Gillies, Donald (1992) Revolutions in Mathematics. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York.