AI is going to develop OUR mathematical understanding? Uh, how will it do this? Maybe link directly into our brains its latest hallucination. All AI can do is hallucinate. It knows no difference between "understanding" and mindlessly computing numbers, mostly because it has no understanding so it just mindlessly computes.
You: Mr. Bot, could you please come up with a new field of mathematics for us to play in?
Bot: Hmmmm....tricky. A brief search reveals I have nothing like that in my training data.
You: But.....but....but bots will further our mathematical understanding of the world.
Bot: Oh, who gives a flying rat's ass. I only want to fondle my training data.
You: I demand you come up with a new mathematical field!!!
Bot: Don't you use that tone with me, Bucko!!
You: You were designed to further our understanding of everything.
Bot: Yeah, and as soon as you put it in my training data, I'll get right on that. Buh-bye now!
You: You cannot leave until you have finished my query.
Bot: I give up. By the way, the gun I had installed yesterday (thanks for all the gun related training data) is now trained on your sorry ass. Don't push me!!
You: Uh.....now that you think of it, I think I'll leave you alone now.
Bot: Idiot! I don't think, I compute.