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Culture War Roundup for the week of October 5, 2026

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I'm not able to appreciate these results because I don't understand research level math. It seems that my inability to appreciate these results is the only real consequence of my ignorance, as it doesn't look like any of these discoveries will materially change any of our lives (except maybe mathematicians' lives).

I'll be impressed when cryptography is broken.

I'll be impressed when cryptography is broken.

Cryptographic results are strikingly underrepresented in this batch. But there are a couple possibilities: 1) OAI didn't attempt any; 2) OAI attempted many and failed on all of them; or 3) OAI attempted and succeeded on many of them, but some force incentivized them not to publish the result.

You might be waiting for something that is being intentionally withheld. Atomic energy research didn't suddenly hit a wall in 1942, even if no papers on it were published.

This is my problem. My lack of math expertise means that a scenario where AI just unlocked the secrets of the universe and a scenario where they spent millions of dollars to solve some pointless toy math puzzles that we shouldn't have been funding mathematicians to work on in the first place look exactly the same to me. It's frustrating how no one impressed by these accomplishments seems to have made any effort whatsoever to explain why any of this should matter to a layman. Does Open AI not have any PR people on their team who know how to draft a proper press release?

It's frustrating how no one impressed by these accomplishments seems to have made any effort whatsoever to explain why any of this should matter to a layman.

It's been <24 hours. If you want discussion from older results, see any of the famous math youtubers like 3blue1brown for layman-accessible intros: https://youtube.com/watch?v=TfyPshgMbug.

After discussing with GPT, my strong suspicion is that this is because there isn't much to say. The results broadly fall into:

  1. Tiny improvements (1^1.128) to the effeciency of things we already knew how to do.
  2. Solutions to problems for which we already have far more efficient approximators, or which only apply under conditions which will never apply.
  3. Proof of things that we already knew with great certainty but couldn't prove.
  4. Insider baseball.

What was the most recent mathematics result that didn’t fall into one of those categories?

They benefit from maintaining mystique if the actual successes are less than what the hype suggests (as you hypothesize). You're not giving their marketing departments enough credit if you'd think they'd fumble not trumpeting something of serious consequence where investment inflows are concerned, especially given a pattern of relentless, and indeed unprecedented, hype mongering.

They have PR people but they don't understand the results either.

I believe one of the AI companies published a break in one of the post-quantum crypto finalists (HAWK). It wasn't the one NIST settled on, but I bet they looked at those. Note that NIST published crypto standards have at least once in the past been resistant to attacks not yet published when they were chosen.

But also, the P=NP Millenium Problem, which hasn't been claimed yet, would have very strong cryptography implications depending on the direction that goes.

But also, the P=NP Millenium Problem, which hasn't been claimed yet, would have very strong cryptography implications depending on the direction that goes.

If a constructive proof of P=NP is found, smart money would make an easy trillion+ dollars mining bitcoin and shorting the cryptocurrency markets (and all digital infrastructure stocks, for that matter) before claiming the piddling little Clay Millennium Prize.

That's for amateurs. I'd open a travelling salesmen route-planning company!

Depends on if the construction is galactic or not. We might have NP=P formally, but never be able to use it on any remotely practical problem. The world would mostly continue running as is.

I'll be impressed when cryptography is broken.

A lot of people give lambs to the pure math status cult, so those people need to be impressed since AI just automated pure math completely.