It’s a bit of an ominous quote given that Hilbert’s program was dismantled shortly thereafter by Gödel…
replyI'm reminded of the joke about the two friends who come across a bear in the woods. When one puts on running shoes, his friend chides him that he can't outrun the bear. He responds, "I don't need to outrun the bear, I just need to outrun you."
replyAI doesn't have to implement Hilbert's vision and be able to prove everything. I just has to out-prove human mathematicians.
Well, that's why we have automated proof checking. And again, I don't think humans will be able to solve problems at a commercial scale in the future.
replyMaybe we'll have some hobbyist dabblers, but any real progress will be done by machines that skip the human.