Tension between Intuitive Infinitesimals and Formal Mathematical Analysis
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.
 Publication:

arXiv eprints
 Pub Date:
 October 2011
 arXiv:
 arXiv:1110.5747
 Bibcode:
 2011arXiv1110.5747K
 Keywords:

 Mathematics  History and Overview;
 Mathematics  Logic;
 01A85;
 26E35;
 03A05;
 97A20;
 97C30
 EPrint:
 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/CrossroadsintheHistoryofMathematics