Infinitesimals via Cauchy sequences: Refining the classical equivalence
نویسندگان
چکیده
Abstract A refinement of the classic equivalence relation among Cauchy sequences yields a useful infinitesimal-enriched number system. Such an approach can be seen as formalizing Cauchy’s sentiment that null sequence “becomes” infinitesimal. We signal little-noticed construction system with infinitesimals in 1910 publication by Giuseppe Peano, reversing his earlier endorsement Cantor’s belittling infinitesimals.
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ژورنال
عنوان ژورنال: Open Mathematics
سال: 2021
ISSN: ['2391-5455']
DOI: https://doi.org/10.1515/math-2021-0048