MuonManLaserJab comments on Innate Mathematical Ability - Less Wrong
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I find your comment helpful insofar as it points to ways in which my article might be misunderstood, but it would be more productive to be inquisitive.
No, I think that his verbal abilities are significantly above average relative to the general population, but perhaps only average relative to mathematicians as a group.
Do you know principal component analysis?
My point was that the SAT verbal is that surely partly a test of abstract reasoning ability of the type picked up on by Raven's Matrices, while partly being a test of a second thing, so that performance on the SAT verbal is determined by a weighted average of these two things, and that since Tao is really high on abstract reasoning ability, he must be lower on that second thing than his score would suggest if taken in isolation.
Yes, these things are all relative. I added an edit to my post to clarify. For the most part, I find Tao's comments on thinking techniques and his advice sound. But there are other elite mathematicians whose understanding runs much deeper, and this is in fact highly significant, just as it's highly significant that Tao was able to score 760 on the math SAT at age 8 rather than at age 13.
Do you have an alternative explanation to the two that I proposed? Surely you'll concede that there's something a priori very bizarre about the situation: Scott Alexander, who got a C- in calculus, is able to recognize a simple quantitative argument that one of the best mathematicians missed, despite the fact that Tao is much closer to the situation that Scott is analyzing than Scott is.
I agree that there's some asymmetry, but I don't think that it's relevant. The point that I was getting at is more subtle. It's clearly not true that Tao and Portman were only successful because of their intelligence and looks respectively. I think that a careful reading of my paragraph will make my meaning clear, but if not, I can try to clarify.
Is this just a "screw you"?
How about: Terence was telling a polite white lie of the sort he probably often tells. Politeness is an easier guess than "poor metacognition".