
Caffeine Powered
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Caffeine Powered
@Caffeindated
Happily addicted to caffeine and current events. Moderate takes on politics, news, and culture. ☕🇺🇸



hello there the jacobian conjecture is false thanx to my close friend akhil for asking about it and my other close friend fable for working during the world cup final ((1+xy)^3 z + y^2 (1+xy) (4+3xy), y + 3 x (1+xy)^2 z + 3 x y^2 (4+3xy), 2 x - 3 x^2 y - x^3 z): \C^3\to \C^3, has jacobian determinant -2, and sends (0, 0, -1/4), (1, -3/2, 13/2), and (-1, 3/2, 13/2) to (-1/4, 0, 0)






Claude Fable 5 has produced a hand-checkable counterexample to the Jacobian conjecture, an open problem dating to 1939. The conjecture says that a polynomial map with a constant non-zero Jacobian determinant must have a polynomial inverse. An 87-year-old problem was casually solved by Fable 5 on a sunday evening. Insane times to live in.



Is the academy obliged to replicate the political breakdown of the country? If corporations, media outlets, and other institutions are increasingly aligned with the far right, why would it be a problem for university faculties to lean the other way? Wouldn't that be better for "free speech" in our society?









"Open-weight models are inherently decelerationist" .... this is a grossly incorrect statement with no supporting arguments or logic that is counter to the long arc of learnings of the industry over the last 50 years. What a stupid thing to say.


TBC, I don't agree with Dean, and I oppose his call for state intervention. But I'm explaining his argument, because most people refuse to actually engage with it. He has a point that if Chinese frontier labs are now being encouraged to be totally open. China now sees this as explicitly part of their strategy. I would not assume that this is altruistic, but calculated, unlike the traditional OSS you lay out here. If all of the Chinese labs are extremely unprofitable (they are), and they are encouraged at a state level to remain unprofitable, it is likely to have large and reverberating economic consequences on US AI as well. That's Dean's point and I think it's worth taking seriously. I don't think China is encouraging this strategy with the same spirit of the people who built Linux. businessinsider.com/xi-jinping-ope…


it's 2001. open-source Linux is better than Windows on servers. Steve Ballmer calls Linux "cancer", "communist" and asks for it to be regulated away it's 2026. open-source LLMs are better than ChatGPT/Claude on costs. they are called "decelerationist" and "communist"


Anti-con discrimination in academia is real. Part of it is a self-selection problem in the pipeline (ie "I have better things to do with my time than deal with a hostile grad program,") but part is also surely active discrimination in hiring, grad admissions, publication. 1/




SHOCKING: The French team originally tasked with building High-Speed Rail left to go to North Africa, because it was “less politically dysfunctional” than California. We’re not France. We’re not Spain. We're a car culture. Time to scrap this ideological "bullet train" fantasy!




China has the biggest middle class in the world now, and 60% of the assets are owned by the government. You can stop coping. It’s over. Socialism won within 1 generation of being allowed to trade with the world, and it wasn’t even close.









