12 citations · 46 across the 11 of their papers we have counts for
8 papers · 1 filter
Of pashas, popes, and indivisibles
Mikhail G. Katz, David Sherry, Monica Ugaglia
The studies of Bonaventura Cavalieri's indivisibles by Giusti, Andersen, Mancosu and others provide a comprehensive picture of Cavalieri's mathematics, as well as of the mathematic…
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…
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…
Is pluralism in the history of mathematics possible?
Jacques Bair, Alexandre Borovik, Vladimir Kanovei +6
Leibniz scholarship is currently an area of lively debate. We respond to some recent criticisms by Archibald et al.
Historical infinitesimalists and modern historiography of infinitesimals
Jacques Bair, Alexandre Borovik, Vladimir Kanovei +5
In the history of infinitesimal calculus, we trace innovation from Leibniz to Cauchy and reaction from Berkeley to Mansion and beyond. We explore 19th century infinitesimal lores,…
Three case studies in current Leibniz scholarship
Mikhail G. Katz, Karl Kuhlemann, David Sherry +1
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…