WHAT MAKES A THEORY OF INFINITESIMALS USEFUL? A VIEW BY KLEIN AND FRAENKEL

VLADIMIR KANOVEI, KARIN U. KATZ, MIKHAIL G. KATZ, AND THOMAS MORMANN

摘要：菲利克斯·克莱因(Felix Klein)和亚伯拉罕·弗伦克尔(Abraham Fraenkel)根据中值定理的可行性，分别为无穷小理论的正确性建立了一个判别准则。我们探讨了这个思想在过去一个世纪的演变，以及亚伯拉罕·鲁宾逊（Abraham Robinson）的框架在其中所起的作用。

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.

What Makes a Theory of Infinitesimals Useful? A View by Klein and Fraenkel​scholarship.claremont.eduWhat makes a theory of infinitesimals useful? A view by Klein and Fraenkel​arxiv.orgMatches for: MR=3762866​mathscinet.ams.org