cousin_it
Joined 19 years ago
Joined 19 years ago
Lol again. Have you tried it? Go ask your favorite LLM to invent a machine-checkable formalism for something that you vaguely describe to it. It'll oblige. If it's one of the top models and you give it a good budget, it'll do a good job. Very likely it'll do a better job than you.
Goedel's theorems don't stop AI from finding and formalizing math results. They certainly don't stop AI from making conjectures or writing definitions. They have nothing to do with any of that.
The theorems are about inability of formal theories to prove certain sentences involving provability (the first is about "this sentence is not provable", the second is about "this theory is consistent"). Most mathematicians never touch any such sentences in their entire career. All the life's work of someone like Gauss, an all-time great, can be formalized just fine.
> We cannot make an AI that improves software coherence beyond the human ceiling without leaving the bubble
That's what I was replying to.
Lol, no. I don't need to. I can predict such things.
For example, I predicted about 15 years ago that AI would decisively beat humans at math, because math is formalizable. Most people didn't believe it until this summer, and some don't believe it still.
To people who don't understand that AI improves over time, my prediction skill seems magical.
The central argument is that AIs, living inside datacenters, won't be able to evaluate the "coherence" of software "beyond the human ceiling". Okay; why do we need this "coherence"? The article argues that it's needed for ease of adaptation. But ease of adaptation (as measured in tokens required to add new features, or whatever) can be directly observed by AI as it works. AI can make conclusions about it, and carry them over from one program to another, without running into any human ceiling. So it can stay within its datacenter and make software that's faster than human-written, smaller, and more adaptable too. The whole essay dissolves. Sorry!