Abstract / Synopsis
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.
Kanovei, V. Katz, K. Katz, M. and Mormann, T. "What Makes a Theory of Infinitesimals Useful? A View by Klein and Fraenkel," Journal of Humanistic Mathematics, Volume 8 Issue 1 (January 2018), pages 108-119. DOI: 10.5642/jhummath.201801.07 . Available at: http://scholarship.claremont.edu/jhm/vol8/iss1/7