On the unviability of interpreting Leibniz's infinitesimals through non-standard analysis

DOI10.1016/J.HM.2023.12.001WikidataQ129214404 ScholiaQ129214404MaRDI QIDQ6492113

Richard T. W. Arthur, David Rabouin

Publication date: 24 April 2024

Published in: Historia Mathematica (Search for Journal in Brave)

zbMATH Keywords

infinitely small quantitiesinfinitesimalsnon-standard analysisG. W. Leibnizhorn angleA. Robinson

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 17th century (01A45)

Cites Work

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• Leibniz's syncategorematic infinitesimals
• Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond
• The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes
• Leibniz's syncategorematic infinitesimals. II: Their existence, their use and their role in the justification of the differential calculus
• Fermat, Leibniz, Euler, and the Gang: The True History of the Concepts of Limit and Shadow
• Is mathematical history written by the victors?
• Abraham Robinson
• Contemporary Infinitesimalist Theories of Continua and Their Late Nineteenth- and Early Twentieth-Century Forerunners
• From a formalist's point of view
• Non-standard analysis

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