Toward a clarity of the extreme value theorem

Karin U. Katz; Mikhail G. Katz; Taras Kudryk

doi:10.1007/s11787-014-0102-8

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arXiv · 1404.5658

Toward a clarity of the extreme value theorem

Karin U. Katz·Mikhail G. Katz·Taras Kudryk

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Abstract

We apply a framework developed by C. S. Peirce to analyze the concept of clarity, so as to examine a pair of rival mathematical approaches to a typical result in analysis. Namely, we compare an intuitionist and an infinitesimal approaches to the extreme value theorem. We argue that a given pre-mathematical phenomenon may have several aspects that are not necessarily captured by a single formalisation, pointing to a complementarity rather than a rivalry of the approaches.

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BibTeX RIS

Karin U. Katz, Mikhail G. Katz, Taras Kudryk. 2014-04-22. Toward a clarity of the extreme value theorem. https://doi.org/10.1007/s11787-014-0102-8

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