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  1. Portrait of Onur Solmaz

    Agent swarms are changing what counts as proof

    @onusoz · /2026/09/11 · View on
    In the Jacobian conjecture and other recent cases (if not all), agents acted like counterexample monkeys brute-forcing their way into a disproof in a way that does not show the same level of eloquence as a human, by human standards The bar has shifted. We are not impressed anymore by 100 year old problems being solved through millions of $$$ in compute, mathematical equivalent of throwing dynamite at a problem until it breaks My bet for OpenAI Hodge result is yet another counterexample disproof (but apparently Hodge is harder to disprove by brute force because finding a candidate counterexample isn’t enough. you also have to prove no algebraic cycle could ever generate it. I haven't studied this problem before, so take it with a grain of salt) This means we might have a new way to "prove" theorems: If you spend $10m on an agent swarm and they can't disprove it, there is a high chance it might be true :P In 1 year from now, we will have disproven all the low-hanging conjectures, and the remaining set will likely have a higher share of true conjectures than false ones :P