Geometry vs. Algebra
The same skeptic in 1600 and in 1900 dismisses whichever approach is out of fashion, showing how standards of rigor flipped between geometry and algebra.
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Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2018-12-28-geometry-vs-algebra/ (CC BY-NC 4.0)Transcript
[1600] A: "Bah! Spare me your slippery algebraic symbolism! Give me the cold hard truth of geometry!" [B holds a sheet: y = x², y + dy = (x + dx)², ... dy = 2x dx]
[1900] A: "Bah! Spare me your slippery geometry! Give me the cold hard truth of algebraic symbolism!" [B holds a graph illustrating the Intermediate Value Theorem: f(a), k, f(b), a, c, b]