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

Authors :: Mikhail G. Katz
Karin U. Katz
Thomas Mormann
Vladimir Kanovei
Source :: Journal of Humanistic Mathematics. 8:108-119
Publication Year :: 2018
Publisher :: Claremont Colleges Library, 2018.
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.<br />10 pages, published in Journal of Humanistic Mathematics http://scholarship.claremont.edu/jhm/vol8/iss1/7/