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19th-century real analysis, forward and backward

Jacques BairPiotr BlaszczykPeter HeinigVladimir KanoveiMikhail Katz — 2019

Antiquitates Mathematicae

19th-century real analysis received a major impetus from Cauchy's work. Cauchy mentions variable quantities, limits, and infinitesimals, but the meaning he attached to these terms is not identical to their modern meaning. Some Cauchy historians work in a conceptual scheme dominated by an assumption of a teleological nature of the evolution of real analysis toward a preordained outcome. Thus, Gilain and Siegmund-Schultze assume that references to limite in Cauchy's work necessarily imply that Cauchy...

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