Claims

The problems solved by AI with Lean proof assistants often exhibit patterns (like ellipses, Platonic solids, or geometric constructions) that a sufficiently clever mathematician could recognize as significant, but if latent in Lean code, these patterns might be invisible because constructions that later prove to have unifying power often appear unassuming in formal notation.

Mathematics can be understood as having two levels: an underlying 'molecular dynamics' level (axiomatic formalization) where Gödel's incompleteness applies and there are proofs of arbitrary length, and a higher 'hydrodynamic' level where mathematicians operate and experience mathematics as comprehensible and unified.