Cantor on Infinitesimals. Historical and Modern Perspective

DOI10.18778/0138-0680.2020.09zbMath1446.03004OpenAlexW3040640841MaRDI QIDQ5126211

Marlena Fila, Piotr Błaszczyk

Publication date: 15 October 2020

Published in: Bulletin of the Section of Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.18778/0138-0680.2020.09

zbMATH Keywords

real numbersordinal numbershyperrealsinfinitesimalsinfinite numbersConway numbers

Mathematics Subject Classification ID

History of mathematical logic and foundations (03-03) History of mathematics in the 19th century (01A55) Nonstandard models in mathematics (03H05)

Cites Work

• The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes
• The axioms of quantity and the theory of measurement. (Translated from part I of Otto Hölder's German text Die Axiome der Quantität und die Lehre vom Mass)
• The Absolute Arithmetic Continuum and the Unification Of all Numbers Great and Small
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