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)
i think AI is about to set off the biggest wave of historical discoveries ever
and it's already started...
> AI read the full text of a scroll buried by Mount Vesuvius 2,000 years ago, revealing a lost work of Stoic philosophy and a book by the philosopher Philodemus that nobody knew existed
> AI deciphered another scroll from the same library and found Plato's exact burial spot, unknown for 2,000 years. the text even describes his final night, with Plato critiquing a flute player's rhythm from his deathbed
> an AI handwriting model showed some Dead Sea Scrolls are 50 to 100 years older than scholars believed, putting the Book of Daniel within its author's lifetime. we could be looking at something close to an original
> AI recovered a 250-line hymn to Babylon, one of the most copied texts of the ancient world, by matching 30 fragments scattered across museums worldwide. it had been lost for 1,000 years
> AI found 303 new Nazca lines in Peru in six months, nearly doubling one of archaeology's most famous mysteries after a century of human searching had only turned up 430
> AI reconstructed the rules of a 2,000-year-old Roman board game from nothing but the carvings on a limestone slab, simulating thousands of games until it found the ruleset that fit
everyone is excited about what AI will solve in the future
i'm equally excited about what AI will solve from the past
We are now in a position where a tiny proportion of the population uses Fable or soon GPT-5.6, while everyone else's experience of AI is 8-30b-model level - Google's AI Overviews, Meta AI, ChatGPT free tier, maybe MS Copilot at best. People outside of tech must be completely baffled how this is supposed to take their job, and annoyed that hundreds of billions are being poured into it.
I know what you’re thinking. The biggest majority in a generation. A historic landslide, a singular mandate, zero organised opposition. How is it even possible for me to fuck this up?
Refill your popcorn. You’ll love this next part.
The UK (and any aspiring global power) needs:
1. Sovereign foundational models (by nurturing home-grown AI winners)
2. Sovereign data centres
3. Energy independence
Without all 3 we are an empty vassal state at the whims of the US / China in the future.
Unlike many other countries the UK has the ability to achieve all 3…
Progress is a choice.
Our paper on Subliminal Learning was just published in Nature!
Last July we released our preprint. It showed that LLMs can transmit traits (e.g. liking owls) through data that is unrelated to that trait (numbers that appear meaningless).
What’s new?🧵
Wife just turned to me and said, out of nowhere, "They should make a Knives Out movie where every character other than Benoit Blanc is a clown. And he keeps getting more and more frustrated and eventually yells 'I say, this is no laughing matter!'"
Britain needs to reckon with the fact that it is not just a developing country economically, but also in political culture.
- There are widespread perceptions of corruption.
- Governments are not capable of pulling off large projects without enormous consent generation schemes through established interest groups (NGOs) and massive side payments
- The government is not trusted with expropriation tools
- Even left-wing governments cannot raise broad-based taxes (and the far left opposition don’t make the case for broad-based taxes, but that they can extract loads of money from the rich and other scapegoats)
- Even right-wing governments cannot take away state welfare entitlements
- There is a dizzying array of inconsistent privileges
- Parties are becoming less ideological and more tribal. There are explicit ethnoreligious parties standing, and bloc voting is becoming more and more common.
- Everyone thinks that all politicians are liars
- Almost no one is willing to take a hit in the interests of the country, and no one is expected to.
I think all of these things are connected, and I also think it’s foolish and self defeating to pretend we are Britain of the 1950s, or Denmark, and that we can simply implement the most efficient policies by deciding to — we just need more political will!
Instead, we need to be realistic about what a country in our situation can achieve. We need to come up with ways to steadily build state legitimacy and state capacity, by stigmatising dishonesty and using the tools of the past, which worked when we were last in this situation.
The government can’t be trusted to spend money, so taxes need to be hypothecated to things voters want if we want to raise more. Large projects need to involve more specific deals with losers, overriding objectors with local support not (nonexistent) national fiat.
Anything controversial needs to be approved in a party’s manifesto, or in a referendum. If it can’t be voted through, it cannot be implemented. If the voter doesn’t want it, they need to be convinced, or it can’t be done.