What Makes a Theory of Infinitesimals Useful? A View by Klein and Fraenkel

Journal of Humanistic Mathematics 8 (1):108 - 119 (2018)
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Felix Klein and Abraham Fraenkel each formulated a criterion for a theory of infinitesimals to be successful, in terms of the feasibility of implementation of the Mean Value Theorem. We explore the evolution of the idea over the past century, and the role of Abraham Robinson's framework therein.
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Archival date: 2018-02-01
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Tools, Objects, and Chimeras: Connes on the Role of Hyperreals in Mathematics.Kanovei, Vladimir; Katz, Mikhail G. & Mormann, Thomas
Non-Standard Analysis.Müller, Gert Heinz

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