Tiziana Bascelli, Piotr Błaszczyk, Alexandre Borovik, Vladimir Kanovei, Karin U. Katz, Mikhail G. Katz, Semen S. Kutateladze, Thomas McGaffey, David M. Schaps & David Sherry
Foundations of Science 23 (2):267-296 (2018)
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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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The Structure of Scientific Revolutions.Thomas Samuel Kuhn - 1962 - Chicago: University of Chicago Press.
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Fermat’s Dilemma: Why Did He Keep Mum on Infinitesimals? And the European Theological Context.Jacques Bair, Mikhail G. Katz & David Sherry - 2018 - Foundations of Science 23 (3):559-595.
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