The LLM took an entirely different route, using a formula that was well known in related parts of math, but which no one had thought to apply to this type of question. Of course LLMs are still absolutely useless at actual maths computation, but I think this is one area where AI can excel --- the ability to combine many sources of knowledge and synthesise, may sometimes yield very useful results. Also reminds me of th…
Also just the sheer value of brute force. 80 hours! 80 hours of just trying shit!
Amateur armed with ChatGPT solves an Erdős problem
31–40 of 607 posts
Re: Amateur armed with ChatGPT solves an Erdős problem
#32Re: Amateur armed with ChatGPT solves an Erdős problem
#33This is how I feel when I read any mathematics paper.
Re: Amateur armed with ChatGPT solves an Erdős problem
#34The LLM took an entirely different route, using a formula that was well known in related parts of math, but which no one had thought to apply to this type of question. Of course LLMs are still absolutely useless at actual maths computation, but I think this is one area where AI can excel --- the ability to combine many sources of knowledge and synthesise, may sometimes yield very useful results. Also reminds me of th…
Also just the sheer value of brute force. 80 hours! 80 hours of just trying shit!
Re: Amateur armed with ChatGPT solves an Erdős problem
#35Here is the chat: don't search the internet. This is a test to see how well you can craft non-trivial, novel and creative proofs given a "number theory and primitive sets" math problem. Provide a full unconditional proof or disproof of the problem. {{problem}} REMEMBER - this unconditional argument may require non-trivial, creative and novel elements. Then "Thought for 80m 17s" https://chatgpt.com/share/69dd1c83-b164…
Re: Amateur armed with ChatGPT solves an Erdős problem
#36Earlier quoted context omitted.
Neither does the Collatz conjecture, Fermat's last theorem, .... (Of course, those problems are on another plane than this one.)
But that’s exactly my point. These are absolutely worth studying, but being what they are, nobody should be dumping massive amounts of money on them. I would not find it persuasive if researchers used LLMs to solve the Collatz conjecture or finally decode Etruscan. These are extremely valuable, but it is unlikely to be worth it for an LLM just grinding tokens like crazy to do it.
Re: Amateur armed with ChatGPT solves an Erdős problem
#37The LLM took an entirely different route, using a formula that was well known in related parts of math, but which no one had thought to apply to this type of question. Of course LLMs are still absolutely useless at actual maths computation, but I think this is one area where AI can excel --- the ability to combine many sources of knowledge and synthesise, may sometimes yield very useful results. Also reminds me of th…
Re: Amateur armed with ChatGPT solves an Erdős problem
#38Re: Amateur armed with ChatGPT solves an Erdős problem
#39How is he even posing the question and having even a vague idea of what the proof means or how to understand it?
Re: Amateur armed with ChatGPT solves an Erdős problem
#40The LLM took an entirely different route, using a formula that was well known in related parts of math, but which no one had thought to apply to this type of question. Of course LLMs are still absolutely useless at actual maths computation, but I think this is one area where AI can excel --- the ability to combine many sources of knowledge and synthesise, may sometimes yield very useful results. Also reminds me of th…
Wait, what do you mean "LLMs are still absolutely useless at actual maths computation"? I rely on them constantly for maths (linear algebra, multivariable calc, stat) --- literally thousands of problems run through GPT5 over the last 12 months, and to my recollection zero failures. But maybe you're thinking of something more specific?