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thaumasiotes 2 days ago

> Imagine a future where proofs are discovered autonomously and proved rigorously by machines, and the work of the human mathematician becomes to articulate the most compelling motivations

You've got the wrong idea of what mathematicians do now. There's not a proof shortage! We've had autonomously discovered proofs since at least Automated Mathematician, and we can have more whenever we want them - a basic result in logic is that you can enumerate valid proofs mechanically.

But we don't want them, because most proofs have no value. The work of a mathematician today is to determine what proofs would be interesting to have ("compelling motivations"), and try to prove them.