Revolutions in mathematics

New York: Oxford University Press (1992)
  Copy   BIBTEX

Abstract

Social revolutions--that is critical periods of decisive, qualitative change--are a commonly acknowledged historical fact. But can the idea of revolutionary upheaval be extended to the world of ideas and theoretical debate? The publication of Kuhn's The Structure of Scientific Revolutions in 1962 led to an exciting discussion of revolutions in the natural sciences. A fascinating, but little known, off-shoot of this was a debate which began in the United States in the mid-1970's as to whether the concept of revolution could be applied to mathematics as well as science. Michael Grove declared that revolutions never occur in mathematics, while Joseph Dauben argued that there have been mathematical revolutions and gave some examples. This book is the first comprehensive examination of the question. It reprints the original papers of Grove, Dauben, and Mehrtens, together with additional chapters giving their current views. To this are added new contributions from nine further experts in the history of mathematics, who each discuss an important episode and consider whether it was a revolution. The whole question of mathematical revolutions is thus examined comprehensively and from a variety of perspectives. This thought-provoking volume will interest mathematicians, philosophers, and historians alike.

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 93,745

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

Similar books and articles

Meta-level revolutions in mathematics.Caroline Dunmore - 1992 - In Donald Gillies (ed.), Revolutions in mathematics. New York: Oxford University Press. pp. 209--225.
Non-Euclidean geometry and revolutions in mathematics.Yuxin Zheng - 1992 - In Donald Gillies (ed.), Revolutions in mathematics. New York: Oxford University Press. pp. 169--182.
Are There Revolutions In Mathematics?Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 4.
Revolutions In Mathematics. [REVIEW]Paul Ernest - 1992 - Philosophy of Mathematics Education Journal 6.
The nineteenth-century revolution in mathematical ontology.Jeremy Gray - 1992 - In Donald Gillies (ed.), Revolutions in mathematics. New York: Oxford University Press. pp. 226--248.
Redefining revolutions.Andrew Aberdein - 2018 - In Moti Mizrahi (ed.), The Kuhnian Image of Science: Time for a Decisive Transformation? London: Rowman & Littlefield. pp. 133–154.
Afterword (1992): A revolution in the historiography of mathematics.M. J. Crowe - 1992 - In Donald Gillies (ed.), Revolutions in mathematics. New York: Oxford University Press. pp. 306--316.
The Fregean revolution in logic.Donald Gillies - 1992 - In Revolutions in mathematics. New York: Oxford University Press. pp. 265--305.

Analytics

Added to PP
2009-01-28

Downloads
125 (#38,738)

6 months
9 (#1,260,759)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Donald Gillies
University College London

References found in this work

No references found.

Add more references