Three case studies in current Leibniz scholarship
Mikhail G. Katz, Karl Kuhlemann, David Sherry, and Monica Ugaglia
TL;DR
This paper analyzes recent Leibniz scholarship on infinitesimals, highlighting conceptual difficulties related to their mathematical status and interpretation in contemporary studies.
Contribution
It critically examines recent interpretations of Leibniz's infinitesimals, emphasizing issues with their ontological and mathematical status in current scholarship.
Findings
Identifies difficulties in recent Leibniz scholarship regarding infinitesimals.
Highlights conflicts with Euclid V Definition 4 in contemporary interpretations.
Raises questions about the mathematical legitimacy of Leibniz's infinitesimals.
Abstract
We examine some recent scholarship on Leibniz's philosophy of the infinitesimal calculus. We indicate difficulties that arise in articles by Bassler, Knobloch, and Arthur, due to a denial to Leibniz's infinitesimals of the status of mathematical entities violating Euclid V Definition 4.
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