Steve Hsu: AI will push math frontier far beyond human minds, compression defines 'human math'

burny_tech · x · 2026-09-23

Physicist Steve Hsu amplified a talk titled 'Compression is all you need: Modeling mathematics.' It argues that 'human math' is a vanishingly small subset of all valid deductions ('formal math'), distinguished by compressibility via hierarchically nested definitions and theorems — a polynomial-growth space rather than the exponential one proofs-as-strings would imply. The argument combines toy monoid models with an empirical analysis of MathLib, a large Lean formalization library, and proposes compression itself as a measure of mathematical interest. Hsu concludes the math frontier will soon far exceed what ape brains with 10 working memory can discover.

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