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Life is short, and I know I can never experience all of mathematics. So I want to construct a plan to see as many of the unique proofs (across the various disciplines) as possible. (Independently, I'll also proceed to learn as much as possible in depth as well).

Reading Munkres' discussion of the Urysohn lemma today inspired this. For instance, techniques like Cantor's diagonalization, Godel's incompleteness proof, etc.

The "usefulness" of the result doesn't really matter. Just the cleverness/non-obviousness/insightfulness of the method of proof.

thanks

Reading Munkres' discussion of the Urysohn lemma today inspired this. For instance, techniques like Cantor's diagonalization, Godel's incompleteness proof, etc.

The "usefulness" of the result doesn't really matter. Just the cleverness/non-obviousness/insightfulness of the method of proof.

thanks

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