Opis

• Title:
  Cantor on Infinitesimals. Historical and Modern Perspective
• Creator:
  Błaszczyk, Piotr;
  Fila, Marlena
• Contributor:
  Błaszczyk, Piotr - Pedagogical University of Cracow, Institute of Mathematics;
  Fila, Marlena - Pedagogical University of Cracow, Institute of Mathematics;
  Błaszczyk, Piotr - piotr.blaszczyk@up.krakow.pl;
  Fila, Marlena - marlena.fila@up.krakow.pl
• Description:
  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.
• Object availability:
  Dostęp otwarty
• Rights: http://creativecommons.org/licenses/by-nc-nd/4.0
• Date:
  2021.05.11;
  2020.06.30
• Type:
  Other
• Language:
  angielski
• Format:
  application/pdf
• Publisher:
  Wydawnictwo Uniwersytetu Łódzkiego
• Relation:
  Bulletin of the Section of Logic;2;
  49
• Subject:
  infinitesimals;
  infinite numbers;
  real numbers;
  hyperreals;
  ordinal numbers;
  Conway numbers
• Identifier:
  0138-0680;
  http://hdl.handle.net/11089/35469 ;
  2449-836X;
  10.18778/0138-0680.2020.09
• Data provider:
  Repozytorium Uniwersytetu Łódzkiego
• Can I use it?:
  sprawdź warunki licencji
• Type:
  pozostałe