OpenAI scored a big result yesterday, with respect to an Erdos problem:Clearly impressive. But as with so much else, it should be viewed with skepticism. In an email to me this morning, Cal Newport made a number of good points that he said I could share, summarizing both what was found and some limitations:OpenAI used a new reasoning model (not yet released) to help identify a counterexample that disproved a conjecture from discrete geometry first proposed by Paul Erdos 80 years ago. The model was tuned for so-called chain-of-thought reasoning where the model endlessly “thinks out loud” about whatever it is trying to solve, an approach that lets you approximate something like memory and dynamic computation using LLMs, which are...
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