Good vs. Great Mathematician: Intuitive and Rigorous
A split panel contrasting a good and a great mathematician: intuitive and rigorous.
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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.
Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2015-12-16-good-mathematician-vs-great-mathematician--good-vs-great-mathematician-intuitive-and-rigorous/ (CC BY-NC 4.0)Transcript
A good mathematician can make arguments intuitive or rigorous. (A graph: "it gets closer…"; or "∀ε>0, ∃δ>0: 0<|x−c|<δ ⇒ |f(x)−L|<ε!") A great mathematician can make arguments intuitive and rigorous. (A graph with ε and δ: "So, you pick a tiny allowable margin…")