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The AI is not forcing us to pick one, it already decided for us.

As 'ogogmad said upthread:

> mathematics will continue to advance, albeit differently from before. The social structures will not survive however.

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What if the point of mathematics is to be mature enough to study and teach math to help humans understand it, without the ego stroke of being the first to solve a problem? Bad communicators are upset that a robot is better than they are solving problems.
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I'd definitely say both and the cultural component is becoming more and more important to keep up as AI capabilities increase.
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