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I think you're misunderstanding what the objective of mathematics is. It is not just about what theorems are true and false, but rather why they are true and fa
by JPC21 9d ago
I think you're misunderstanding what the objective of mathematics is. It is not just about what theorems are true and false, but rather why they are true and false. A highschool sophomore could use these prompts, but I severely doubt whether they'd be able to understand the entire structure. And I think it is exactly this ability to deeply understand structures is what makes a mathematician valuable.
Solving problems is a by-product of the understanding. New techniques are a by-product of the understanding.
But I can understand you're scared that some future version of AI will undermine this as well. I personally pivoted to a field adjacent to mathematics. But that doesn't mean my mathematics education wasn't valuable. To the contrary, I find that it helps me think much more sharply about problems than most of my colleagues.