16 citations · 37 across the 4 of their papers we have counts for
4 papers
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…
Leibniz vs Ishiguro: Closing a quarter-century of syncategoremania
Tiziana Bascelli, Piotr Blaszczyk, Vladimir Kanovei +4
Did Leibniz exploit infinitesimals and infinities `a la rigueur, or only as shorthand for quantified propositions that refer to ordinary Archimedean magnitudes? Chapter 5 in (Ishig…
Fermat, Leibniz, Euler, and the gang: The true history of the concepts of limit and shadow
Tiziana Bascelli, Emanuele Bottazzi, Frederik Herzberg +6
Fermat, Leibniz, Euler, and Cauchy all used one or another form of approximate equality, or the idea of discarding "negligible" terms, so as to obtain a correct analytic answer. Th…