48 citations · 200 across the 26 of their papers we have counts for
4 papers · 1 filter
Procedures of Leibnizian infinitesimal calculus: An account in three modern frameworks
Jacques Bair, Piotr Blaszczyk, Robert Ely +2
Recent Leibniz scholarship has sought to gauge which foundational framework provides the most successful account of the procedures of the Leibnizian calculus (LC). While many schol…
Phenomenology of diagrams in Book II of the Elements
Piotr Błaszczyk
In this paper, we provide an interpretation of Book II of the Elements from the perspective of figures which are represented and not represented on the diagrams. We show that Eucli…
Continuity between Cauchy and Bolzano: Issues of antecedents and priority
Jacques Bair, Piotr Blaszczyk, Elias Fuentes Guillen +3
In a paper published in 1970, Grattan-Guinness argued that Cauchy, in his 1821 book Cours d'Analyse, may have plagiarized Bolzano's book Rein analytischer Beweis (RB), first publis…
Cauchy's work on integral geometry, centers of curvature, and other applications of infinitesimals
Jacques Bair, Piotr Blaszczyk, Peter Heinig +3
Like his colleagues de Prony, Petit, and Poisson at the Ecole Polytechnique, Cauchy used infinitesimals in the Leibniz-Euler tradition both in his research and teaching. Cauchy app…