9 citations · 12 across the 3 of their papers we have counts for
3 papers
math.HO2023★ 2 cited
When does a hyperbola meet its asymptote? Bounded infinities, fictions, and contradictions in Leibniz
Mikhail G. Katz, David Sherry, Monica Ugaglia
In his 1676 text De Quadratura Arithmetica, Leibniz distinguished infinita terminata from infinita interminata. The text also deals with the notion, originating with Desargues, of…
math.HO2023★ 1 cited
Evolution of Leibniz's thought in the matter of fictions and infinitesimals
Monica Ugaglia, Mikhail G. Katz
In this paper we offer a reconstruction of the evolution of Leibniz's thought concerning the problem of the infinite divisibility of bodies, the tension between actuality, unassign…
math.HO2021★ 9 cited
Leibniz on bodies and infinities: rerum natura and mathematical fictions
Mikhail G. Katz, Karl Kuhlemann, David Sherry +1
The way Leibniz applied his philosophy to mathematics has been the subject of longstanding debates. A key piece of evidence is his letter to Masson on bodies. We offer an interpret…