AI proofs should be Beautiful and Intelligible, not just correct: a centaur vision

bradneuberg · x · 2026-10-19

Brad Neuberg argues AI-generated mathematical proofs shouldn't just be correct and impactful—they should also be beautiful and intelligible, valid within their domain's aesthetic frame and expressed in parsimonious, legible symbolic form. He likens verbose AI proofs to Copernican epicycles: with enough parameters they can fit reality, but a Kepler-style reformulation is cleaner and more beautiful. He sees the pursuit of Correct, Impactful, Beautiful, and Intelligible AI results as an ideal framing for human-AI centaur collaboration.

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