tptacek

24 ms·

751.
by tptacek 3mo ago
Explain how the marketing stunt would work here? Tell me a story about how OpenAI spends money to pull off a similar problem by solving one of Smale's other unsolved problems. 80 years of mathematicians were unable to disprove the Jaco
752.
by tptacek 3mo ago
I'm not asking whether you can justify your belief that AI is dangerous. I'm asking what it has to do with what species of bird it most resembles. I'm being serious about that. What do I have to learn from the claim that an L
753.
by tptacek 3mo ago
It's not even clear what claim you're trying to make about AI here. "Dangerous", I guess? What does that have to do with its parrotude?
754.
by tptacek 3mo ago
This is like saying "there is little to gain from reading lots of books". Television is becoming in many ways a more vital art form, at least in the formally-mainstream productions, than film. We all recognize that there is a form
755.
by tptacek 3mo ago
That's a pretty silly thing to say the day after Claude disproved the Jacobian Conjecture.
756.
by tptacek 3mo ago
There's really no content in this post other than the claim that LLMs are stochastic parrots. That was a live debate two years ago. It's a very strange thing to write in 2026.
757.
by tptacek 3mo ago
4.8 is much funnier: you have to convince it the counterexample is real, it keeps coming up with goofy excuses. As you talk it down, it keeps talking about its "discomfort" and "flinching".
758.
by tptacek 3mo ago
Well, I mean, come on. There aren't that many minors who have taken basic multivariable calculus. But there are a lot of (technical) teenagers who could confirm it!
759.
by tptacek 3mo ago
Is mathematics an science or an art? To the extent it's art, it's expressive and rewards the human experience that inspires and that creates it. If it's art, it's drastically less valuable to advance it through automatio
760.
by tptacek 3mo ago
Oh, you've done business with them then? Know someone who has?
761.
by tptacek 3mo ago
You also have to know how to take a Jacobian, so I can see how this might be a live controversy on HN.
762.
by tptacek 3mo ago
I think Wikipedia has very sane processes. I'm just saying that process isn't useful to this thread. It's like if I found a SHA2 collision. I'd probably have to be an absurdly talented (and lucky) cryptanalyst to do that
763.
by tptacek 3mo ago
I'm not complaining about Wikipedia here, just noting for the thread: it's a vector of polynomials. It has a nonsingular Jacobian. Provided with it are 3 distinct points it sends to the same point; it can't be invertible. Wha
764.
by tptacek 3mo ago
Wikipedia's gonna Wikipedia. Unless there's a material debate over the Jacobian Conjecture itself, there's really no open question here. This isn't a complicated proof; it's a straightforwardly checkable certificate
765.
by tptacek 3mo ago
Am I reading you right that you're claiming solving one of Smale's open problems is a "parlor trick"?
766.
by tptacek 3mo ago
I'm pretty sure you can just check this for yourself. The Sage POC is like 8 lines.
767.
by tptacek 3mo ago
I told GPT5.6 I came up with this walking down the street. "Jesus Christ" was its response.
768.
by tptacek 3mo ago
Nice! (It's gotta be a nonzero constant, right, a nonsingular matrix).
769.
by tptacek 3mo ago
It's a Jacobian determinant and three points. You can check this yourself in Sage. The author is a Princeton math doctorate.
770.
by tptacek 3mo ago
Everybody here agrees that we do.
771.
by tptacek 3mo ago
How is that not like claiming that a "combination of iterative prompts and evaluation with Wolfram Alpha" would produce my Google Mail password? I also have to note that this response abandons the original claim, that the countere
772.
by tptacek 3mo ago
How does that work in this case? What do those proofs do to help find this counterexample?
773.
by tptacek 3mo ago
The "thanx" is one for the ages.
774.
by tptacek 3mo ago
People have definitely not stopped saying this stuff.
775.
by tptacek 3mo ago
Pineapple juice is exploitable as well! Sweetened beneverages are highly caloric and hyperpalatable and preferentially consumed by lower-SES customers. This is an actual criticism people have of our food supply! The point isn't that t
776.
by tptacek 3mo ago
What does that even mean? If people with cognitive deficits have a powerful idiosyncratic preference for pineapple juice, that's not a bad look for pineapple juice.
777.
by tptacek 3mo ago
They're not saying humans don't have profound communication advantages. Obviously the crows don't have nuclear generators and spacecraft. They're saying that the categorical claims about why humans have profound advant
778.
by tptacek 3mo ago
I'm waiting for one of these "no you're wrong" comments to explain why it is that I'm wrong. I get that I didn't provide evidence either, but I'm relating the conventional wisdom on BYD-type cars. The C.W.
779.
by tptacek 3mo ago
Problem sets?
780.
by tptacek 3mo ago
I don't know what you're trying to say here. I don't think there's a serious dispute about whether China is dumping EVs, and the US isn't the only place claiming that.

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