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Zusatztext `.... the book makes interesting reading.' Short Book Reviews Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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 ...
