Building the Reasoning Engine at Axiom

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alex.shkotin

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Jan 15, 2026, 4:49:43 AM (6 days ago) Jan 15
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" In fact, every time proofs dogmatically resist being formally proven, the informal human source was wrong – just recently, mistakes were fixed during the formalization effort of Fermat's Last Theorem. The bottom formal layer catches what high-level intuition misses. "
"The entire corpus of mathematics indexed into a knowledge graph: definitions, theorems, and proofs. Formalized mathematics as a searchable, Internet-scale dataset."

They are still in mathematics, but this is just the beginning.

"The implications extend far beyond pure mathematics. Every complex system humans want to understand – from protein folding to quantum field theory and economic models – ultimately reduces to mathematical structures. A reasoning engine that can autonomously explore mathematical space and generate new theories doesn't just solve math problems; it provides a general-purpose tool for understanding reality."

Alex
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