18 citations · 80 across the 11 of their papers we have counts for
11 papers
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…
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…
19th century real analysis, forward and backward
Jacques Bair, Piotr Blaszczyk, Peter Heinig +2
19th century real analysis received a major impetus from Cauchy's work. Cauchy mentions variable quantities, limits, and infinitesimals, but the meaning he attached to these terms…
Leibniz's well-founded fictions and their interpretations
Jacques Bair, Piotr Blaszczyk, Robert Ely +2
Leibniz used the term fiction in conjunction with infinitesimals. What kind of fictions they were exactly is a subject of scholarly dispute. The position of Bos and Mancosu contras…
Klein vs Mehrtens: restoring the reputation of a great modern
Jacques Bair, Piotr Błaszczyk, Peter Heinig +3
Historian Herbert Mehrtens sought to portray the history of turn-of-the-century mathematics as a struggle of modern vs countermodern, led respectively by David Hilbert and Felix Kl…