Cantor on Infinitesimals. Historical and Modern Perspective

Bulletin of the Section of Logic 49 (2) (2020)
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Abstract

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.

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Galileo’s paradox and numerosities.Piotr Błaszczyk - 2021 - Philosophical Problems in Science 70:73-107.

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