Re:"I'm on a War Footing": Terry Tao and the Crisis in Math
by glimshe on Monday October 19, 2026 @05:54PM
(#50158621)
I'll add to it. The classic answer to your objection is "but as a species we'd have sooner or latter 1 billion steps worth of intellectual capital". Today someone gets to an intermediate result worth 1 million steps, tomorrow another million and so on.
But there's no guarantee that such "low IQ" intermediate steps exist. We do well with many classes of problems because of divide-and-conquer. But not all problems can be solved through divide-and-conquer.
For a rough analogy, see how AI plays chess and intermediate board positions often don't make sense to us. Imagine now an enormous chess-like game played in an enormous chess board where a match lasts longer than a lifetime and none of the intermediate steps make sense to any human.
But there's no guarantee that such "low IQ" intermediate steps exist. We do well with many classes of problems because of divide-and-conquer. But not all problems can be solved through divide-and-conquer.
For a rough analogy, see how AI plays chess and intermediate board positions often don't make sense to us. Imagine now an enormous chess-like game played in an enormous chess board where a match lasts longer than a lifetime and none of the intermediate steps make sense to any human.