Cauchy's Continuum

DOI10.1162/POSC_a_00047zbMath1292.01028arXiv1108.4201MaRDI QIDQ5171469

Karin Usadi Katz, Mikhail G. Katz

Publication date: 27 July 2014

Published in: Perspectives on Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.4201

Mathematics Subject Classification ID

History of mathematics in the 19th century (01A55) History of real functions (26-03) History of Greek and Roman mathematics (01A20)

Related Items (16)

Is Leibnizian calculus embeddable in first order logic? ⋮ Toward a history of mathematics focused on procedures ⋮ Cauchy's infinitesimals, his sum theorem, and foundational paradigms ⋮ Small oscillations of the pendulum, Euler's method, and adequality ⋮ Ambiguities of fundamental concepts in mathematical analysis during the mid-nineteenth century ⋮ Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics ⋮ A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography ⋮ Who gave you the Cauchy-Weierstrass tale? The dual history of rigorous calculus ⋮ Stevin numbers and reality ⋮ A Cauchy-Dirac delta function ⋮ Ten misconceptions from the history of analysis and their debunking ⋮ Cauchy's work on integral geometry, centers of curvature, and other applications of infinitesimals ⋮ Leibniz's infinitesimals: their fictionality, their modern implementations, and their foes from Berkeley to Russell and beyond ⋮ An integer construction of infinitesimals: toward a theory of eudoxus hyperreals ⋮ Almost Equal: the Method of Adequality from Diophantus to Fermat and Beyond ⋮ Controversies in the foundations of analysis: comments on Schubring's \textit{Conflicts}

Cites Work

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• A Burgessian critique of nominalistic tendencies in contemporary mathematics and its historiography
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• Nonstandard Analysis
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• Infinitesimals
• Cauchy et Bolzano

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