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> I've been contested that the second Gödel incompleteness theorem "can't be applied like this to the brain" but I stubbornly insist yes, the brain implements _
by breuleux 1y ago
> I've been contested that the second Gödel incompleteness theorem "can't be applied like this to the brain" but I stubbornly insist yes, the brain implements _some_ formal system and it can't understand how that system works
I would argue that the second incompleteness theorem doesn't have much relevance to the human brain, because it is trying to prove a falsehood. The brain is blatantly not a consistent system. It is, however, paraconsistent: we are perfectly capable of managing a set of inconsistent premises and extracting useful insight from them. That's a good thing.
It's also true that we don't understand how our own brain works, of course.