18 citations · 127 across the 50 of their papers we have counts for
21 papers · 1 filter
Marx versus Engels on infinitesimals: Chimera or triumph?
Mikhail G. Katz, Karl Kuhlemann, Semen S. Kutateladze
We document the evolution of Karl Marx's take on infinitesimals. We contrast his initial favorable stance with later criticisms, and examine the differing perspectives of Marx and…
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,…
Cauchy, infinitesimals and ghosts of departed quantifiers
Jacques Bair, Piotr Blaszczyk, Robert Ely +10
Procedures relying on infinitesimals in Leibniz, Euler and Cauchy have been interpreted in both a Weierstrassian and Robinson's frameworks. The latter provides closer proxies for t…
Cauchy's infinitesimals, his sum theorem, and foundational paradigms
Tiziana Bascelli, Piotr Blaszczyk, Alexandre Borovik +7
Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy's proof, and…
Gregory's sixth operation
Tiziana Bascelli, Piotr Blaszczyk, Vladimir Kanovei +6
In relation to a thesis put forward by Marx Wartofsky, we seek to show that a historiography of mathematics requires an analysis of the ontology of the part of mathematics under sc…