Revolutions in Mathematics

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 Dauben, 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 Giorello, 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 Gray, 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. Gillies, 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.