It's still an optimistic scenario. Artificial superintelligence may develop hypermathematics of a kind that never will be accesible to human mind, enhanced or not. One can't teach geometry to ants even if you put them on a Moebius strip.
replyIt would be more like Lem's novel where it completely disappears from the human horizon: https://en.wikipedia.org/wiki/Golem_XIV
Which is why if humanity had empathy, it would be working on how to make smarter ants, so that they can learn more advanced geometry.
replyI love that as a goal!
replyPerhaps indeed a better understanding of what intelligence really is would allow this sort of Uplift (as in Brin's books).
A fellow Brin aficionado!
replyIt's quite possible ants understand a geometry more advanced than our own.
replyWhat do you think we're doing?!
replyAnt Intelligence will be next big thing in machine learning after this bubble bursts
replyWhat’s optimistic or non-optimistic specifically about the machine having a system of mathematics beyond our comprehension within it? Why should we care about that in itself?
replyIn the first case, we'd still have a chance to take a glance at the frontier of discovery (even if ordinary human mathematicians had to spent years translating what metahumans achieved).
replyIn the second case all human-level maths would be solved and what lies beyond would be always out of our scope.
Why would this be optimistic? This sounds extremely negative to me…
reply