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What Makes a Theory of Infinitesimals Useful? A View by Klein and Fraenkel
Journal of Humanistic Mathematics ( IF 0.3 ) Pub Date : 2018-01-01 , DOI: 10.5642/jhummath.201801.07
Vladimir Kanovei , Karin Katz , Mikhail Katz , Thomas Mormann

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.

中文翻译:

是什么使无穷小理论有用?克莱因和弗兰克尔的观点

费利克斯·克莱因(Felix Klein)和亚伯拉罕·弗朗克尔(Abraham Fraenkel)各自就实现中值定理的可行性制定了一个极小理论成功的标准。我们探讨了该概念在过去一个世纪中的演变以及亚伯拉罕·罗宾逊(Abraham Robinson)框架在其中的作用。
更新日期:2018-01-01
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