AI Discovers New Math, While Interpretability Tools Trace the Reasoning Back
burny_tech · x · 2026-07-30
The author explores the deeply recursive relationship between AI and mathematics:
- AI discovers new math: Through architectures, learning algorithms, and data (existing math), AI can derive solutions to unresolved mathematical conjectures.
- Interpretability traces it back: We can then use other math (interpretability tools like feature geometries and circuits in activation space) to reverse-engineer what math the AI actually used to make that discovery.
- Automating the loop: Parts of both this discovery and the reverse-engineering process can eventually be automated via AI R&D and automated science of AI.
- Towards metamathematics: If applied to metamathematics, the system could uncover results about math itself, akin to Gödel's incompleteness theorems. Each layer of this process relies on overlapping yet distinct subsets of mathematics.
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