Leibniz's Laws of Continuity and Homogeneity
Abstract
We explore Leibniz's understanding of the differential calculus, and argue that his methods were more coherent than is generally recognized. The foundations of the historical infinitesimal calculus of Newton and Leibniz have been a target of numerous criticisms. Some of the critics believed to have found logical fallacies in its foundations. We present a detailed textual analysis of Leibniz's seminal text Cum Prodiisset, and argue that Leibniz's system for differential calculus was free of contradictions.
 Publication:

arXiv eprints
 Pub Date:
 November 2012
 arXiv:
 arXiv:1211.7188
 Bibcode:
 2012arXiv1211.7188K
 Keywords:

 Mathematics  History and Overview;
 Mathematics  Classical Analysis and ODEs;
 Mathematics  Logic;
 26E35 (Primary) 01A85;
 03A05 (Secondary)
 EPrint:
 19 pages, 1 figure. See http://www.ams.org/notices/201211. arXiv admin note: text overlap with arXiv:1205.0174