AI BriefingBrute Intelligence
Key point
Mathematicians are using LLMs to find counterexamples to mathematical conjectures, and AI's role is changing.
Details
Fields Medalist Terence Tao reviewed a case in which Anthropic researcher Levent Alpöge used Fable (Anthropic's LLM) to find a counterexample to the famous Jacobian conjecture. Tao evaluated this discovery as being like a 'huge miracle' that would be extremely difficult to find through random search.
Similarly, mathematician and entrepreneur Dmitry Rybin also succeeded in disproving another mathematical conjecture using ChatGPT. Notably, in Rybin's case, results were achieved with just a very short and simple instruction like "find a complete counterexample," without complex guidance.
This suggests that AI is moving beyond the stage of merely being a tool that must be finely steered by experts, and is showing aspects of Brute Intelligence, sometimes solving problems on its own without specific coaching or detailed guidance.
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