also don’t think that you have significant evidence that we don’t live in this world, beyond the observation that if such an algorithm exists, it is sufficiently non-obvious that neither evolution or humans have found it so far.
FWIW, I totally think that mental savants like Ramanujan (or “ordinary” geniuses like von Neumann) make a super-strong case for the existence of “algorithms evolution knows not”.
(Yes, they were humans, and were therefore running on the same evolutionary hardware as everybody else. But I don’t think it makes sense to credit their remarkable achievements to the hardware evolution produced; indeed, it seems almost certain that they were using that same hardware to run a better algorithm, producing much better results with the same amount of compute—or possibly less, in Ramanujan’s case!)
FWIW, I totally think that mental savants like Ramanujan (or “ordinary” geniuses like von Neumann) make a super-strong case for the existence of “algorithms evolution knows not”.
(Yes, they were humans, and were therefore running on the same evolutionary hardware as everybody else. But I don’t think it makes sense to credit their remarkable achievements to the hardware evolution produced; indeed, it seems almost certain that they were using that same hardware to run a better algorithm, producing much better results with the same amount of compute—or possibly less, in Ramanujan’s case!)