Donald Gillies (ed.)

Revolutions in Mathematics

Herausgeber: Gillies, Donald

• Broschiertes Buch

Produktbeschreibung

The essays in this book provide the first comprehensive treatment of the concept of revolution in mathematics. In 1962 an exciting discussion of revolutions in the natural sciences was prompted by the publication of Kuhn's The Structure of Scientific Revolutions. A fascinating but little known offshoot of this debate was begun in the USA in the mid-1970s: can the concept of revolutions be applied to mathematics as well as science? Michael Crowe declared that revolutions never occur in mathematics, while Joseph Dauben argued that there have been mathematical revolutions and gave some examples. The original papers of Crowe, Dauben, and Mehrtens are reprinted in this book, 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. This book is an excellent reference work and an ideal course text for both graduate and undergraduate courses in the history and philosophy of science and mathematics.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Verlag: OUP Oxford
• Seitenzahl: 368
• Erscheinungstermin: 2. November 1995
• Englisch
• Abmessung: 234mm x 156mm x 20mm
• Gewicht: 559g
• ISBN-13: 9780198514862
• ISBN-10: 0198514867
• Artikelnr.: 21535150

Inhaltsangabe

* Preface
* Introduction
* 1: Michael Crowe: Ten 'laws' concerning patterns of change in the
history of mathematics 1975
* 2: Herbert Mehrtens: T.S. Kuhn's theories and mathematics: a
discussion paper on the new historiography of mathematics 1976
* 3: Herbert Mehrtens: Appendix 1992 revolutions reconsidered
* 4: Joseph Dauben: Conceptual revolutions and the history of
mathematics: two studies in the growth of knowledge 1984
* 5: Joseph Dauben: Appendix 1992: revolutions revisited
* 6: Paolo Mancosu: Descartes's geometrie and revolutions in
mathematics
* 7: Emily Grosholz: Was Leibniz a mathematical revolutionary?
* 8: Giulio Giorello: The 'fine structure' of mathematical revolutions:
metaphysics, legitimacy, and rigour. The case of calculus from Newton
to Berkeley and MacLaurin
* 9: Yuxin Zheng: Non-Euclidean geometry and revolutions in mathematics
* 10: Luciano Boi: The 'revolution' in the geometrical vision of space
in the nineteenth century, and the hermeneutical epistemology of
mathematics
* 11: Caroline Dunmore: Meta-level revolutions in mathematics
* 12: Jeremy Gray: The nineteenth-century revolution in mathematical
ontology
* 13: Herbert Breger: A restoration that failed: Paul Finsler's theory
of sets
* 14: Donald Gillies: The Fregean revolution in logic
* 15: Michael Crowe: Afterword 1992: A revolution in the historiography
of mathematics?
* About the contributors
* Bibliography
* Index