17 citations · 96 across the 14 of their papers we have counts for
3 papers · 1 filter
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…
Monotone subsequence via ultrapower
Piotr Blaszczyk, Vladimir Kanovei, Mikhail G. Katz +1
An ultraproduct can be a helpful organizing principle in presenting solutions of problems at many levels, as argued by Terence Tao. We apply it here to the solution of a calculus p…