67 citations · 309 across the 25 of their papers we have counts for
25 papers
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…
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…
Two-track depictions of Leibniz's fictions
Mikhail G. Katz, Karl Kuhlemann, David Sherry +2
Leibniz described imaginary roots, negatives, and infinitesimals as useful fictions. But did he view such 'impossible' numbers as mathematical entities? Alice and Bob take on the l…
On mathematical realism and the applicability of hyperreals
Emanuele Bottazzi, Vladimir Kanovei, Mikhail G. Katz +2
We argue that Robinson's hyperreals have just as much claim to applicability as the garden variety reals. In a recent text, Easwaran and Towsner (ET) analyze the applicability of m…