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Posted by bookofjoe 6 hours ago

AI unlocks Gödel's notebooks, said to contain hundreds of proved theorems(www.theguardian.com)
303 points | 88 comments
hobo123 5 hours ago|
The stuff about Gabelsberger shorthand sounds ludicrous to me. My father would write notes in a custom version of it until his death 2020.

Officially (i.e. in schools teaching stenography, back in the day) it was long ago replaced by "unified German shorthand" (Deutsche Einheitskurzschrift IIRC), but he always considered Gabelsberger to be superior.

Well, maybe he too was one of the 6 people in the world who could read it (or yes, maybe that was hyperbole, I'm not sure) :D

semolinapudding 4 hours ago|
I think it's 6 people who can read Gabelsberger and know enough mathematical logic to make out what Gödel is saying.
throwaway81523 1 hour ago|||
The notebooks were transcribed to regular German by a couple[0] who learned Gabelsberger just for that purpose. There is a bunch of analysis of them in Gödel's 5-volume Collected Works, iirc mostly volume 4. I'm surprised if there was any interesting mathematical content left to be found. The question that mathematicians wondered about the most was whether Gödel made any progress on the independence of the continuum hypothesis and axiom of choice (both later proved by Cohen). It appeared that he had some thoughts about it but didn't get anywhere. The Guardian article says Gödel was close to a proof of AC's independence but I'm skeptical.

The question the public wondered about the most was the loophole Gödel claimed to have found in the US Constitution, but they didn't find anything about that.[1]

There's a cool suspense novel "The God Proof" about finding a lost Gödel notebook extending Gödel's ontological "proof" of the existence of God.[2]

0. John Dawson (a logician) and his wife whose name I think is Cheryl (not sure). John Dawson later wrote the Gödel biography "Logical Dilemmas".

1. https://en.wikipedia.org/wiki/G%C3%B6del%27s_loophole

2. https://jeffreykegler.github.io/personal/gp/God_Proof.pdf

aaronrobinson 2 hours ago|||
I read it as knowing it at all but maybe it’s the mathematical shorthand subset.
iltennico 4 hours ago||
From what historians of science tell us, Gödel was in any case an absolute perfectionist who mostly published work that was bulletproof. His enormous body of notes surely contained some very sharp insights, but it is unlikely that he would have produced illuminating, conclusive new theorems by chance and without realizing it. He was a very harsh reviewer of his own work.
bananaflag 2 hours ago||
He did discover the functional interpretation in 1940 and publish it only in 1958, so it is highly probable that he has valuable unpublished results.
judofyr 16 minutes ago||
n=1

> highly probably

Ah, the optimism of today’s youth!

blurbleblurble 3 hours ago|||
Maybe it's likely that he didn't have proofs, but surely had all kinds of theorems with at the very least some intuition of a proof. Recall that he wouldn't have had the same huge breadth and depth of mathematical machinery available to him that we have now.
breezybottom 2 hours ago||
You could just read the article instead of speculating about what's in it. This isn't reddit.
agosz 2 hours ago||
Yes, it does state they found proofs and new theorems but also false ones too. I'm curious what new insights the ones that were proved hold.

It's really cool how AI is just able to decipher these and validate them with automated theorem provers. Crazy times!

imbiased 5 hours ago||
I can't remember the exact quote but I believe I read that Gödel confided to Einstein (in their walks in Princeton) on his deep worry of his work being forgotten. If only he knew.
shepherdjerred 20 minutes ago||
Anxiety is a great motivator
writtenone 3 hours ago||
Now in 2026 every store use facial recognition to make sure you are ALWAYS remembered.
kridsdale1 3 hours ago||
For short geological time horizons at least.
agnosticmantis 3 hours ago||
AI did not comment on the consistency or completeness of the notebooks.
bad_username 1 hour ago||
True! but unprovable.
pryelluw 3 hours ago||
Funny thing is your comment is consistent and complete.
acjohnson55 1 hour ago||
This is possible for things that have less power than arithmetic!
ducttapecrown 6 hours ago||
It'd be interesting to hear about these new 14 themes of logic Gödel pursued!
calf 3 hours ago||
Article also mentions his notes were a few months work away from proving independence of CH decades before Cohen's result in 1963.
bahbahbahbah 5 hours ago||
Yeah, these notes need to be just openly published. Then I could ask my own Claude for an explanation. (Not /s)
aaronrobinson 2 hours ago|||
Or just share the Claude sessions as Tao did his.
rsoto2 4 hours ago||||
You could likely "unlock" the manuscript yourself with a competent computer vision algorithm. It's nothing that fancy.
Perseids 4 hours ago||
Have you seen the manuscripts? Take a look at slide 10 of https://aitp-conference.org/2026/slides/JvP.pdf [1]. On slide 12 you can at least make out a few words (even before reading the English translation I could clearly read "Jede" and "Systems ist berechenbar"), but any part of the shorthand is completely unrecognizable. Also take a look at slide 6 that shows a bunch of word transcriptions in the shorthand. If I understood the article correctly, you have to intimately know the math involved to have any chance of decoding the content, as there is a lot of interpretation involved.

If one could wish for a best case publishing, I would like to have the page scans side by side with the German reading side by side with the English translation with running commentary by the research group.

[1] via https://news.ycombinator.com/item?id=50487434 , thanks empath75

rsoto2 1 hour ago|||
a computer can't see the letter "c" or any letter. You train it based on data and pixels otherwise it is "completely un-recongizable." What is so special about these squiggles? That it is a shorthand? Are words in other languages not "completely unrecognizable" to you?
Perseids 13 minutes ago||
What the…

How would you happen write a comment that is so utterly similar to your [dead] sibling comment?

> to a computer the letter "c" is completely unrecognizable no concept of the letter or the shape etc. If you train an ocr algorithm to detect pixels in the shape of "c" you can teach the computer to read the letter. what is so complicated about these squiggles that you think a computer couldn't be trained to read them? Have you seen written text in other languages? It looks "completely unrecognizable"

It feels too similar to even be AI generated. Or is the temperature set way down?

Also, could the people that for whatever reason cannot be stopped from running commenting agents (it's against HN policy btw.) please at least use models that aren't dumb? Yes, it is because it is shorthand. At least read the sources I'm quoting, dear agent.

zapataband2 2 hours ago|||
[dead]
sally_glance 3 hours ago|||
That would be the future of crowdsourcing - by submitting the same prompt as 1000 other people, you're basically donating your tokens to the cause of maybe spotting a valuable insight the others didn't get because of random output sampling :)
evolve2k 2 hours ago||
Very much need a statement in there as to if AI was used in the making of the manifesto, goes to the heart of the ethical soul of the manifesto.

I’d suggest you bake it into that header line on writtten by; something like this (but edited depending how ai was used):

“Written without AI assistance by the speakers and attendees of AIE Code Summit 2026 ”

cobychapple 2 hours ago|
Was this comment meant to be on the other neighbouring link (No AI Slop: A Manifesto - https://news.ycombinator.com/item?id=50488769)?
semolinapudding 5 hours ago||
This is incredibly exciting! Gödel is unquestionably the most important logician in history, but unfortunately he published very little. For instance, the Dialectica interpretation was published approximately 20 years after his first ideas on the subject.

Plus, Jan von Plato is the world's leading expert on Gödel -- the number of people who can read Gödel's handwriting can be counted on the fingers of one hand, and I think that every single one is part of Jan von Plato's research group. If he is excited about the output, this is a huge deal.

tetris11 2 hours ago||
Let's try the Voynich Manuscript next
empath75 5 hours ago||
https://aitp-conference.org/2026/slides/JvP.pdf this seems to be slide deck with some of the results.
superjan 5 hours ago||
And here is the site of the research group involved. https://www.helsinki.fi/en/researchgroups/godel-enigma
taylorbuley 5 hours ago||
Thank you! Godel's work get us comfortably uncomfortable with unknowability but damn, to think there's more out there! I'm dying to know more.
tiffanyh 4 hours ago|
I’m been trying to use various frontier models to decipher lost ancient languages (like Linear A).

I wonder what tactics this used, so that I can leverage in my own work.

rhdunn 3 hours ago|
The problem with Linear A is that we don't have a reference point like the Rosetta Stone to anchor it to other languages and scripts. It also has a small corpus, making it hard to find patterns in the texts.
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