What makes a theory of infinitesimals useful? A view by Klein and Fraenkel

Mikhail Katz; Karin U Katz; Vladimir Kanovei; Thomas Mormann

What makes a theory of infinitesimals useful? A view by Klein and Fraenkel

Mikhail Katz, Karin U Katz, Vladimir Kanovei, Thomas Mormann

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	American English
Pages (from-to)	108–119
Number of pages	12
Journal	Journal of Humanistic Mathematics
Volume	8
Issue number	1
State	Published - 2018

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http://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.License: Unspecified

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Katz, M., Katz, K. U., Kanovei, V., & Mormann, T. (2018). What makes a theory of infinitesimals useful? A view by Klein and Fraenkel. Journal of Humanistic Mathematics, 8(1), 108–119. http://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.

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Katz, M, Katz, KU, Kanovei, V & Mormann, T 2018, 'What makes a theory of infinitesimals useful? A view by Klein and Fraenkel', Journal of Humanistic Mathematics, vol. 8, no. 1, pp. 108–119. <http://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.>

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AU - Kanovei, Vladimir

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PY - 2018

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JO - Journal of Humanistic Mathematics

JF - Journal of Humanistic Mathematics

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What makes a theory of infinitesimals useful? A view by Klein and Fraenkel

Abstract

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