Toward a clarity of the extreme value theorem
Logic
2014-04-24 v1 Classical Analysis and ODEs
History and Overview
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.
Keywords
Cite
@article{arxiv.1404.5658,
title = {Toward a clarity of the extreme value theorem},
author = {Karin U. Katz and Mikhail G. Katz and Taras Kudryk},
journal= {arXiv preprint arXiv:1404.5658},
year = {2014}
}
Comments
24 pages; to appear in Logica Universalis