In teaching calculus, it is not uncommon to mention the controversy over the role of infinitesimals with Newton's and Leibniz' calculus, including Berkeley's objections. In a history of mathematics course, it is a required topic! But rancor over infinitesimals and their role in mathematics predates calculus- so much so that a popular new book is dedicated to this topic. In this talk, I will discuss not just the relevant controversies between Cavalieri and the Je
Crisman, Karl-Dieter, "A Pre-Calculus Controversy: Infinitesimals and Why They Matter" (2017). ACMS Conference Proceedings 2017. 9.
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