Ordered Fields, the Purge of Infinitesimals from Mathematics and the Rigorousness of Infinitesimal C...
Ordered Fields, the Purge of Infinitesimals from Mathematics and the Rigorousness of Infinitesimal Calculus
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Ithaca: Cornell University Library, arXiv.org
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English
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Ithaca: Cornell University Library, arXiv.org
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We present a characterization of the completeness of the field of real numbers in the form of a \emph{collection of several equivalent statements} borrowed from algebra, real analysis, general topology, and non-standard analysis. We also discuss the completeness of non-Archimedean fields and present several examples of such fields. As an applicatio...
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Ordered Fields, the Purge of Infinitesimals from Mathematics and the Rigorousness of Infinitesimal Calculus
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TN_cdi_proquest_journals_2083140812
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2083140812
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2331-8422
