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arXiv · 2207.03383

Peano's Conception of a Single Infinite Cardinality

Claudio Ternullo·Isabella Fascitiello
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Abstract

While Peano's negative attitude towards infinitesimals, in particular, geometric infinitesimals, is widely documented, his conception of a single infinite cardinality and, more generally, his views on the infinite, are a lot less known. The paper reconstructs the evolution of Peano's ideas on these questions, and formulates several hypotheses about their underlying motivations.

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Claudio Ternullo, Isabella Fascitiello. 2022-07-07. Peano's Conception of a Single Infinite Cardinality. https://arxiv.org/abs/2207.03383

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