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The widespread idea that infinitesimals were "eliminated" by the "greattriumvirate" of Cantor, Dedekind, and Weierstrass is refuted by anuninterrupted chain of work on infinitesimal-enriched number systems. Theelimination claim is an oversimplification created by triumvirate followers,who tend to view the history of analysis as a pre-ordained march toward theradiant future of Weierstrassian epsilontics. In the present text, we documentdistortions of the history of analysis stemming from the triumvirate ideologyof ontological minimalism, which identified the continuum with a single numbersystem. Such anachronistic distortions characterize the received interpretationof Stevin, Leibniz, d'Alembert, Cauchy, and others.

Ten Misconceptions from the History of Analysis and Their Debunking