Leibniz's laws of continuity and homogeneity

Mikhail G. Katz, David M. Sherry

Research output: Contribution to journalArticlepeer-review

21 Scopus citations

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.
Original languageEnglish
Pages (from-to)1550-1558
Number of pages9
JournalNotices of the American Mathematical Society
Volume59
Issue number11
DOIs
StatePublished - Dec 2012

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