> Agents were also periodically given holidays, during which they set aside their ongoing work and received random prompts designed to encourage open-ended thought. What a world we live in. These guys have reinvented the Cambridge Senior Common Room for AI.
Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
31–40 of 48 posts
Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#32Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#33Maybe Hilbert's dream was not that crazy after all
You could even argue that it's the fundamental basis for post-modernism, since mathematics have destroyed the notion of absolute truth in any advanced domain. It's back to a form of "all models are wrong but some are useful" similar to what we have in physics. Sayonara, Plato.
Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#34I have two thoughts simultaneously about the anthropomorphisation of these systems: 1. we should do it less, because it distorts our ability to think about them properly. Calling these processes 'thinking', 'holidays', etc invites the reader to bring along ideas and expectations that aren't justified by what's happening in the system. 2. it's good to keep doing it, because repeated use reduces the specialness or magi…
e.g. last year I tried inventing a "System 3"[0], a more rigorous way to approach problem solving, due to repeated painful experiences getting stuck solving problems the wrong way. I didn't get very far, but I definitely want to revisit the idea.
[0] Based on System 1 and System 2, i.e. lossy pattern matching vs "actual thinking". Because I found my "actual thinking" was also ~~dogshit~~ frequently insufficient for the problems at hand.
So as far as I'm concerned, thinking properly has not even been invented yet. (But I'd love to hear other perspectives!)
https://thedecisionlab.com/reference-guide/philosophy/system...
Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#35I have two thoughts simultaneously about the anthropomorphisation of these systems: 1. we should do it less, because it distorts our ability to think about them properly. Calling these processes 'thinking', 'holidays', etc invites the reader to bring along ideas and expectations that aren't justified by what's happening in the system. 2. it's good to keep doing it, because repeated use reduces the specialness or magi…
Added "You can do anything, believe in yourself!" to CLAUDE.md, suddenly it was able to google the dang weather. lmao
Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#36> Agents were also periodically given holidays, during which they set aside their ongoing work and received random prompts designed to encourage open-ended thought. What a world we live in. These guys have reinvented the Cambridge Senior Common Room for AI.
They keep looping back to the same paper. The holiday is just another prompt.
Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#37Maybe Hilbert's dream was not that crazy after all
What is that dream? I don’t know much about it
Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#38> Agents were also periodically given holidays, during which they set aside their ongoing work and received random prompts designed to encourage open-ended thought. What a world we live in. These guys have reinvented the Cambridge Senior Common Room for AI.
Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#39Re: Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment
#40> We study autonomous mathematical discovery in the Station, an open-world multi-agent environment in which AI agents from different model families pursue a shared research goal without a central coordinator or scripted pipeline . Agents choose their own research directions , conduct experiments, collaborate, and build a shared scientific literature . Across 12 construction problems from the AlphaEvolve catalogue and…
> there were numerous comments saying variations on this theme: "well, yes, but how about novel stuff, how about new things, original work, yadda yadda" This completely misconstrues what professional mathematicians were claiming. The argument would be better phrased as: "having a vast accessible memory and the ability to very rapidly test/recombine previously-elucidated approaches means that AIs can and will easily o…
It’s all computation, humans just can’t always experience or explain the computation they are doing at the time so we call it creativity instead.