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arXiv · 1802.01972

What makes a theory of infinitesimals useful? A view by Klein and Fraenkel

Vladimir Kanovei·Karin U. Katz·Mikhail G. Katz·Thomas Mormann
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Abstract

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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Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Thomas Mormann. 2018-02-01. What makes a theory of infinitesimals useful? A view by Klein and Fraenkel. https://doi.org/10.5642/jhummath.201801.07

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