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Re:Epicycles All the Way Down by DarkNova6 on Monday April 20, 2026 @09:59AM (#47834468)
But are we talking pure LLMs, or existing AI solvers augmented with LLMs? Because while the latter is impressive, it doesn't state much outside of this specific domain.

If anything, I see greater verticality of specialized software that is using LLMs at their core, but with much aid and technology around it to really make the most out of it.

Re:Epicycles All the Way Down by ogogmad on Monday April 20, 2026 @11:23AM (#47835662)
The announcement says:

> This was solved by GPT-5.4 Pro (prompted by Price)

See the discussion here: https://www.erdosproblems.com/forum/thread/1196

Re:Epicycles All the Way Down by FrustratedMonky on Monday April 20, 2026 @10:24AM (#47834835)
"are we talking pure LLMs, or existing AI solvers augmented with LLM"

Why do these distinctions matter?

is it an LLM, or symbolic, or a combo, or a dozen technologies stitched together. Who cares. It is all automation. It is all artificial.

Re:Epicycles All the Way Down by DarkNova6 on Monday April 20, 2026 @11:05AM (#47835388)
True, it's an achievement either way. But if an "out of the box LLM" can solve difficult math problems it is an achievement by the LLM vendor. Otherwise it is an achievement by the people doing the vertical integration.

In the context of evolving LLM this is the crucial distinction.

Re:Epicycles All the Way Down by suddenlybananas on Monday April 20, 2026 @10:46AM (#47835185)
The distinctions matter since computational proofs have been around for decades.
Re:Epicycles All the Way Down by layer8 on Monday April 20, 2026 @01:34PM (#47837760)
It matters in terms of whether it’s generalizable. We had computers do impressive specific things since decades.
Re:Epicycles All the Way Down by FrustratedMonky on Monday April 20, 2026 @02:33PM (#47838631)
Sure.

But 'purely LLM' also isn't a definition for generalizable.