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If one AI based system becomes an expert in writing math proofs, the cost of getting another one is simply copying files and provisioning them into different cloud instances. This can be done within minutes to hours.

If one human becomes an expert in writing math proofs, the cost of getting another one is waiting for a human within the human population that likes math as a career, the cost of waiting for that human to finish school (decades) and getting advanced specialization, with no guarantee that the human will finish school or become proficient enough to advance the frontier of knowledge. By the time you finished waiting for this, you could have trillions of AI experts working in parallel.

The bandwidth of the brain when it comes to assimilating new information is low (up to hundreds of words per minute). Machines will be able to clone a lifetime of knowledge in seconds, have thousands of conversations in parallel, even serializing parts of their "brain" and sending them over to other AIs, like the Borg. These are things that are not possible within the human condition.

And once programmable matter is attained, you could produce exponential amounts of computronium and do the equivalent of millennias of research in seconds. This is how the omega point could happen.



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