Post #3832639

@spradlig@mathstodon.xyz I would guess you might mean "to teach analysis"? I have heard that using calculus (ie non rigorously) with infinitesimals as a technique, rather than a rigorous foundation, can be quite successful. Keisler's calculus textbook uses infinitesimals in this way - with what amounts to an axiomatic and intuitive development of infinitesimals in order to do calculus, saving their rigorous construction until the end. It's a bit like doing calculus and saving Dedekind Cuts for later :) Michal Katz has done research on this from a pedagogical perspective (although he is *very* committed to it - he's far from a neutral observer) which is quite interesting.