Geodesic
Cantor on Infinitesimals. Historical and Modern Perspective
Bulletin of the Section of Logic, Tome 49 (2020) no. 2.

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In his 1887's Mitteilungen zur Lehre von Transfiniten, Cantor seeks to prove inconsistency of infinitesimals. We provide a detailed analysis of his argument from both historical and mathematical perspective. We show that while his historical analysis are questionable, the mathematical part of the argument is false.
Keywords: infinitesimals, infinite numbers, real numbers, hyperreals, ordinal numbers, Conway numbers 
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     author = {B{\l}aszczyk, Piotr and Fila, Marlena},
     title = {Cantor on {Infinitesimals.} {Historical} and {Modern} {Perspective}},
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Błaszczyk, Piotr; Fila, Marlena. Cantor on Infinitesimals. Historical and Modern Perspective. Bulletin of the Section of Logic, Tome 49 (2020) no. 2. http://geodesic.mathdoc.fr/item/BSL_2020_49_2_a0/