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One of your human colleagues who comes up with a proof that they actually reasoned with cognition can help you follow it by talking you through their reasoning. GPT cannot, because the walkthrough would just be more tokens, an illusion. So is it actually worth spending the time to check them?

It is a burden that OpenAI has unethically placed on the mathematics community. When they published those earlier batches, they had their own mathematicians check them, and filtered out the failures, to deceptively create a 'track record' for GPT.

So now the public perception is that it should be assumed correct until it is debunked, and they've dropped this dump to give an appearance of exponential growth in the output of that process, even though they've changed that process by taking the human out of the loop.

It shouldn't fall on the mathematics community to put that human back in the loop. That's your community's cognitive labour, for you to spend on what you think is important.

Plus, OpenAI proudly publishing that 'correct' but useless Navier-Stokes proof shows how even with a human in the loop, the process they have come up with warps human cognition in damaging ways. Their human mathematicians did check one, yet it didn't occur to them that the solution was useless.

The optimal thing would be complete and total non-engagement. A total rejection of this process. A boycott. Unfortunately, I think that ship has already sailed. People are engaging, including some mathematicians who are motivated to believe in the lie of the cognitive computer.

So the next best thing is a complete humiliation of this process. Don't just look for smoking guns, also look at the technically correct papers for instances where a ridiculous loophole is employed that a human would never have used, that makes the solution of no practical use.

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When I say useless, I don't mean in the sense of practical application. I mean because Navier-Stokes is a physical model. If the mathematical force isn't something that could actually exist as a physical force, in this context, it is conceptually useless.

The CMI's exact wording of the problem didn't say "oh and by the way, the force should also be physically possible" because it should be obvious from the context.

The Hodge conjecture is about algebraic geometry, but the Navier–Stokes equations describe the motions of viscous fluids. I wasn't saying that pure mathematics is useless at all, but that OpenAI didn't discover anything useful by treating the applied mathematics as pure mathematics in this case.

Mathematicians are now on the front lines of an epistemic war over the uniqueness and value of human cognition that you did not ask for. Regrettably, I can't help with that directly because I'm not a mathematician. But the outcome of that war has consequences for all of us.