Leibniz’s Calculation with Compendia

Herbert Breger ()

Chapter Chapter 12 in Kontinuum, Analysis, Informales – Beiträge zur Mathematik und Philosophie von Leibniz, 2016, pp 147-158 from Springer

Abstract: Abstract It has often been noted that Leibniz’s verbal descriptions of infinitesimal magnitudes vary or even appear incoherent (cf. e.g. Boyer 1959: 207–221; Earman 1975: 236–251). But in his use of them Leibniz is in fact being quite clear and explicit; his view of infinitesimals appears not to have altered since the beginning of his Hannover period or a few years later. It is not sufficient to study Leibniz’s verbal descriptions of infinitesimal magnitudes in isolation; they need to be interpreted in connection with their mathematical usage.

Date: 2016
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DOI: 10.1007/978-3-662-50399-7_12

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