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Revolutions in Mathematics


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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


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