Tension between Intuitive Infinitesimals and Formal Mathematical Analysis
History and Overview
2011-10-27 v1 Logic
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.
Keywords
Cite
@article{arxiv.1110.5747,
title = {Tension between Intuitive Infinitesimals and Formal Mathematical Analysis},
author = {Mikhail G. Katz and David Tall},
journal= {arXiv preprint arXiv:1110.5747},
year = {2011}
}
Comments
19 pages, 5 figures, Chapter in: Bharath Sriraman, Editor. Crossroads in the History of Mathematics and Mathematics Education. The Montana Mathematics Enthusiast Monographs in Mathematics Education 12, Information Age Publishing, Inc., Charlotte, NC, 2011. See http://www.infoagepub.com/products/Crossroads-in-the-History-of-Mathematics