Vlad Tenev and Tudor Achim from Harmonic explain how they built Aristotle, an AI system that reaches International Mathematical Olympiad gold-medal performance using formally verified Lean proofs. They unpack the architecture behind mathematical superintelligence, including Monte Carlo Tree Search, lemma guessing, and specialized geometry modules. The conversation explores how verifiable reasoning could harden mission-critical software, reshape mathematical practice, and lead to trustworthy superintelligent systems by 2030.
Nathan uses Granola to uncover blind spots in conversations and AI research. Try it at granola.ai/tcr with code TCR — and if you’re already using it, test his blind spot recipe here: https://bit.ly/granolablindspot
Sponsors:
Claude:
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Framer:
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Blitzy:
Blitzy is the autonomous code generation platform that ingests millions of lines of code to accelerate enterprise software development by up to 5x with premium, spec-driven output. Schedule a strategy session with their AI solutions consultants at https://blitzy.com
Tasklet:
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CHAPTERS:
(00:00) About the Episode
(04:58) Math as reasoning (Part 1)
(15:22) Sponsors: Claude | Framer
(18:51) Math as reasoning (Part 2)
(18:51) Inside the Lean language
(27:51) Lean intuition and MathLib (Part 1)
(34:08) Sponsors: Blitzy | Tasklet
(37:08) Lean intuition and MathLib (Part 2)
(38:47) Inside Aristotle's architecture
(48:33) Scope, boundaries, and applications
(54:37) Training, taste, and interpretability
(01:08:18) Formal math and software
(01:16:50) Limits, entropy, and roadmap
(01:25:24) 2030 vision and safety
(01:33:38) Outro
PRODUCED BY:
https://aipodcast.ing
