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Arguably it is succeeding on this front - LLMs have been much more helpful for learning about mathematics topics than Wikipedia for a while now. Admittedly a somewhat low bar, but they are genuinely helpful. In many other fields the models can still only pull up equal (in my opinion).
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It's the 'can answer arbitrary questions' part for me.

You could give me the most well crafted, comprehensive document ever and I would still misread bits of it, or miss some crucial bit of information that contextualises the rest or whatever.

With LLMs I can ask endless dumb questions in a way that just would not be practical otherwise. The quality of the responses doesn't even have to be particularly good for it to be extremely useful - it's basically a turbo charged rubber duck for learning new concepts.

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> If the aim of mathematics is to promote greater human understanding...

Is this the aim of mathematics?

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The aim is to produce a body of knowledge that will be useful to humanity. So far, the best way to ensure that knowledge is useful is to have a society of experts who understand them well. That may not be necessary any more with AI, but it's a scary thought -- because that logic can be applied to any human knowledge, not just mathematical.
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This is certainly what many mathematicians have used as justification for why humans should continue studying math.
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