My general view has always been that it's not worth rushing to be the first to do work that someone else could do next week; clearly the marginal impact of such work is low. Worth thinking about this in the rush to publish results where the intellectual labor was done by AI.
it’s kind of fucking ridiculous (and quite frightening) we‘re this far — the models are solving long standing problems in discrete geometry — yet the models do this still by thinking to themselves in plain english? that is easily interpretable? what the hell man
Today, we share a breakthrough on the planar unit distance problem, a famous open question first posed by Paul Erdős in 1946.
For nearly 80 years, mathematicians believed the best possible solutions looked roughly like square grids.
An OpenAI model has now disproved that belief, discovering an entirely new family of constructions that performs better.
This marks the first time AI has autonomously solved a prominent open problem central to a field of mathematics.
I might miss a conference and summer school in Budapest because bureaucratic delays have meant I haven’t even been able to apply for the visa yet. Quite bummed about this :(
Attention @arxiv authors: Our Code of Conduct states that by signing your name as an author of a paper, each author takes full responsibility for all its contents, irrespective of how the contents were generated. 1/
I was reading Darboux’s account of Poincaré’s exceptional memory, and it led me to this thought: in what way does good memory play a role in math research? I think remembering broad themes and important results helps you connect ideas that might otherwise go undiscovered. (1/2)