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

Journal of Humanistic Mathematics

Kanovei, Vladimir¹ 

[1] Bar-Ilan University^1

关键词: infinitesimal;    Felix Klein;    Abraham Fraenkel;    hyperreal;    mean value theorem;   

DOI  :  10.5642/jhummath.201801.07

学科分类：数学（综合）

来源: Claremont Center for the Mathematical Sciences

【 摘 要 】

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.

【 授权许可】

CC BY