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.

It would be more like Lem's novel where it completely disappears from the human horizon: https://en.wikipedia.org/wiki/Golem_XIV

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genxy 4 hours ago | parent | next [-]

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.

	▲	_superposition_ an hour ago \| parent \| next [-]
		It's quite possible ants understand a geometry more advanced than our own.
	▲	falcor84 3 hours ago \| parent \| prev \| next [-]
		I love that as a goal! Perhaps indeed a better understanding of what intelligence really is would allow this sort of Uplift (as in Brin's books).
	▲	CamperBob2 3 hours ago \| parent \| prev \| next [-]
		What do you think we're doing?!
	▲	alkyon 3 hours ago \| parent \| prev [-]
		Ant Intelligence will be next big thing in machine learning after this bubble bursts

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GPerson 4 hours ago | parent | prev | next [-]

What’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?

	▲	alkyon 3 hours ago \| parent [-]
		In 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). In the second case all human-level maths would be solved and what lies beyond would be always out of our scope.

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slopinthebag an hour ago | parent | prev [-]

Why would this be optimistic? This sounds extremely negative to me…