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math.HO2013
Infinitesimals as an issue in neo-Kantian philosophy of science
Thomas Mormann, Mikhail G. Katz
We seek to elucidate the philosophical context in which one of the most important conceptual transformations of modern mathematics took place, namely the so-called revolution in ri…
math.HO2013★ 12 cited
Infinitesimals, Imaginaries, Ideals, and Fictions
David Sherry, Mikhail G. Katz
Leibniz entertained various conceptions of infinitesimals, considering them sometimes as ideal things and other times as fictions. But in both cases, he compares infinitesimals fav…