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arXiv · 1110.5747

Tension between Intuitive Infinitesimals and Formal Mathematical Analysis

Mikhail G. Katz·David Tall
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Abstract

We discuss the repercussions of the development of infinitesimal calculus into modern analysis, beginning with viewpoints expressed in the nineteenth and twentieth centuries and relating them to the natural cognitive development of mathematical thinking and imaginative visual interpretations of axiomatic proof.

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Mikhail G. Katz, David Tall. 2011-10-26. Tension between Intuitive Infinitesimals and Formal Mathematical Analysis. https://arxiv.org/abs/1110.5747

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