Mathematics is the art of giving the same name to different things
Henri Poincaré, in The future of Mathematics, 1908
Poetry is the art of giving different names to the same thing
Unknown poet, in response to Poincaré
This post is basically the article Making concrete analogies and big pictures, with just different title. For Vietnamese readers, you can read my example of how I “translate” the connection projective geometry, representation theory, and harmonic analysis in my Vietnamese blog. Its explanation is provided at the end of the article above.
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