Foundations of Science 23 (2):267-296 (2018)

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Abstract
Cauchy's sum theorem is a prototype of what is today a basic result on the convergence of a series of functions in undergraduate analysis. We seek to interpret Cauchy’s proof, and discuss the related epistemological questions involved in comparing distinct interpretive paradigms. Cauchy’s proof is often interpreted in the modern framework of a Weierstrassian paradigm. We analyze Cauchy’s proof closely and show that it finds closer proxies in a different modern framework.
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DOI 10.1007/s10699-017-9534-y
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References found in this work BETA

The Structure of Scientific Revolutions.Thomas Samuel Kuhn - 1962 - Chicago: University of Chicago Press.
The Structure of Scientific Revolutions.Thomas S. Kuhn - 1962 - University of Chicago Press.
Ontological Relativity.W. V. Quine - 1968 - Journal of Philosophy 65 (7):185-212.
What Numbers Could Not Be.Paul Benacerraf - 1965 - Philosophical Review 74 (1):47-73.
Non-Standard Analysis.Abraham Robinson - 1961 - North-Holland Publishing Co..

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