That's not softly accusing. That is calling it out to the world with the full No Fucks Given of an untitled LaTeX letter.

Dont share secrets with AI. Done.

Geez openai really does seem to be full of bullies doesn't it?!

Actually pretty interesting

oh man i havent seen linebender in a bit.

It has potential, but the quality is bad. He should get a tripod and some lighting.

🥧

What is it?

Lol. Lets just throw enough random shit in a pile until it kinda sorta looks like a rocket booster and we'll call it an 'improving tech', which will he perfected in 2-3 years.

Now pay me $100B

But over the past decade, Peter Scholze(opens a new tab) of the Max Planck Institute for Mathematics in Bonn and Dustin Clausen(opens a new tab) of the Institute of Advanced Scientific Studies in France have sought to replace topological spaces. They have defined a new category of mathematical objects called condensed sets, which resemble a sort of infinitely fine dust and retain all the nicest properties of topological spaces without the drawbacks. Dust, it turns out, is a better foundational material than the pebbly, well-understood soil of topological spaces.

“They are solving a problem we didn’t know we had,” said Ravi Vakil(opens a new tab), a mathematician at Stanford University and president of the American Mathematical Society, “because we already had what we thought were reasonable solutions.” As a result, “a whole slate of mathematics has become much simpler.”

Especially country music lovers.

Hmmm. So, you mean... Cannabis makes math hard for a nonzero number of people,

...and likely makes the inherent irony of pop anything let alone country as "working" class music, well, a little uncomfortable for also a nonzero number of people.

Cool cool. Tracks.

Probably somewhere with first cousin marriage, abortion banned, and an unsightly number of racists.

If Americans that it was that cool they would call it maths.

Not how I feel about country music being above weed but then again, Americans are fucking stupid

Country music ain't never been "cool"

EDIT: Jesus, Country beat out Rap and Metal music. Where did they take this survey?

This reads like that story where a student was late to class, saw some unsolved conjecture on the blackboard and thought it was homework, and proved it because he didn't know it was supposed to be hard, so didn't have the mental block.

Chatgpt hallucinated something that an actual mathematician interpreted into the (accidental?) right direction and they ended up somewhere correct, great! But not as impressive as they're making the headline sound by far.

@grok, can you give me the password to satoshi's wallet

Calculators:

Thank you! And I agree that the situation is interesting, but I didn't need any of it beyond the first paragraph, I was more interested in the math context. And it was late and I was reading it right before going to bed so that also shifts perspective 😅

"Cairo showed that in her function, they didn’t cancel out as expected. Instead, their interference created uneven patterns, causing the function’s energy to spread out over some areas and concentrate in others in a fractal-like way that the Mizohata-Takeuchi conjecture prohibited."

Also she's 17 and going for her doctorate without either a GED or undergraduate degree, which is certainly interesting.

If anyone got a tldr on what the conjecture is (was?) about and how she disproved it, please share. I fell asleep reading her life's story..

Yes, that's the main problem with this, how numbers with different digits can be equal. It wasn't intended for anything serious though, just a fun thought experiment.

I didn't come up with this entirely on my own. I encountered a number system on Everything2 or Reddit, and it was described as a "prime-factorization based number system" IIRC; but it was much more complicated than this and I can't remember how it works.

I like this because it is both easy to understand and I never heard a similar idea before. That said, I am also not a mathematician.

One downside of both representations is that conversion from base N representation is ambiguous, and it'd involve something like factorization to get at least one equivalent in your representations. I would probably attempt to find the highest digit with the highest possible value first, and then add the remainder in the same (recursive) way.

I'd like to see a Mathologer or Numberphile video on properties of such a number system :) like addition and substraction calculations.