Paper defines theorem interestingness as proof length divided by statement length

tak3sh8 · x · 2026-10-11

A recent paper defines the "intrinsic interestingness" of a theorem as the ratio between the length of its proof and the length of its statement — the longer the proof packed into a short statement, the more interesting.

Commenters quickly noted the punchline: by that definition, famously short statements with enormous proofs are in fact "extremely interesting" 😅. The thread also riffs on David Chapman's question about what it would mean culturally to discover that most of math is, by some measure, stupid and ugly.

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