Abstract

Evolution or Revolution in Mathematics: The Case of Leibniz Some Issues Raised by Seventeenth Century Mathematics Isaac Barrow, a Foil to Leibniz A Young Central European Polymath between the Scholastics and the Moderns First Steps in Mathematics (1673 - 1675) The Creation of Calculus (1676 - 1686) Logic The Universal Characteristic The Baroque Cultural Context Epilogue Some Concluding Remarks on Mathematical Change Appendices: A: A Transmutation Theorem of Leibniz B: Leibniz's Series Quadrature of a Conic C: Syllogistic Logic D: The Vis Viva Controversy E: Some Applications of Conic Sections, Mechanical Curves and Neusis to Greek Geometry.

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