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Comment by D-Machine

2 days ago

It could not be done without Aristotle (https://arxiv.org/pdf/2510.01346), as clearly described in Tao's posts.

Never mind what Aristotle is, verifier llm models are definitely strong enough to verify proofs of elementary methods used here.

Aristotle is an LLM system.

  • "Aristotle integrates three main components: a Lean proof search system, an informal reasoning system that generates and formalizes lemmas, and a dedicated geometry solver"

    It is far more than an LLM, and math != "language".

    • > Aristotle integrates three main components (...)

      The second one being backed by a model.

      > It is far more than an LLM

      It's an LLM with a bunch of tools around it, and a slightly different runtime that ChatGPT. It's "only" that, but people - even here, of all places - keep underestimating just how much power there is in that.

      > math != "language".

      How so?

      6 replies →