Die Differentialrechnung nach Leibniz - eine Rekonstruktion

Studia Leibnitiana 33 (2):163 - 193 (2001)

Abstract
In the history of mathematics Leibniz as one of the scientists who developed the calculus of differentials has an outstanding position. However, it is difficult to reconstruct his theory in a consistent way. The main problem is the concept of differential. For an adequate understanding of this concept it is necessary to analyze how it is used. In this article we deal with the first systematic formulation of Leibniz' calculus, the Lectiones de calculo differentialium of Johann Bernoulli from 1691/92. It will be proved that Leibniz's theory is consistent and can be reconstructed as an empirical theory - concerning physical curves - within the structuralist metatheory. The concept of differential is a theoretical one in respect to this theory
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Berkeleys Kritik Am Leibniz´Schen Calculus.Horst Struve, Eva Müller-Hill & Ingo Witzke - 2015 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 46 (1):63-82.

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