14 citations · 44 across the 14 of their papers we have counts for
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math.FA2019
Spaces of measurable functions on the the Levi-Civita field
Emanuele Bottazzi
We introduce the spaces of measurable functions whose -th power is summable with respect to the uniform measure over the Levi-Civita field . These s…
math.HO2019★ 9 cited
On mathematical realism and the applicability of hyperreals
Emanuele Bottazzi, Vladimir Kanovei, Mikhail G. Katz +2
We argue that Robinson's hyperreals have just as much claim to applicability as the garden variety reals. In a recent text, Easwaran and Towsner (ET) analyze the applicability of m…
math.RA2019
Homomorphisms Between Rings with Infinitesimals and Infinitesimal Comparisons
Emanuele Bottazzi
We examine an argument of Reeder suggesting that the nilpotent infinitesimals in Paolo Giordano's ring extension of the real numbers are smaller than any inf…