Peano and the Debate on Infinitesimals

The work

AuthorsPaolo Freguglia
Editors
Typearticle
Year2021
Citekeyfreguglia2021peano

Where it appeared

Published inPhilosophia Scientiae
PublisherÉditions Kimé
Volume25
Issue1
Pages145--156

Identifiers

DOI10.4000/philosophiascientiae.2826
OpenAlexW3137695093

Access

URLhttps://journals.openedition.org/philosophiascientiae/2826
Landing pagehttps://doi.org/10.4000/philosophiascientiae.2826
Free full texthttps://journals.openedition.org/philosophiascientiae/pdf/2826

Abstract

The main aim of this paper is to put Peano's opinion about the unacceptability of the actual infinitesimal notion into evidence. First we briefly focus on the cultural environment where Peano's considerations originated and developed. Then we examine Peano's article of 1892, "Dimostrazione dell'impossibilità di segmenti infinitesimi costanti" [Peano 1892].

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How it got here

How it got hereagent via crossref
Added2026-08-05 00:00 UTC
Approved bya person 2026-08-18 09:48 UTC

Filed under

the-axioms-before-peano

Cite it as

@article{freguglia2021peano,
  title        = {Peano and the Debate on Infinitesimals},
  author       = {Paolo Freguglia},
  year         = {2021},
  journal      = {Philosophia Scientiae},
  publisher    = {Éditions Kimé},
  volume       = {25},
  number       = {1},
  pages        = {145--156},
  doi          = {10.4000/philosophiascientiae.2826},
}

This record lives at https://refs.drheap.org/freguglia2021peano/ and will keep doing so.