Three case studies in current Leibniz scholarship

Abstract

We examine some recent scholarship on Leibniz's philosophy of the infinitesimal calculus. We indicate difficulties that arise in articles by Bassler, Knobloch, and Arthur, due to a denial to Leibniz's infinitesimals of the status of mathematical entities violating Euclid V Definition 4.

19 pages, to appear in Antiquitates Mathematicae

References in corpus (2)

• Two-track depictions of Leibniz's fictions
• Leibniz on bodies and infinities: rerum natura and mathematical fictions

Cited by in corpus (1)

• When does a hyperbola meet its asymptote? Bounded infinities, fictions, and contradictions in Leibniz