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gwern comments on Is g a measure of ability to absorb information in a non-inductive way? - Less Wrong
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That's a plausible explanation. But that suggests a lot of predictions. For example, if I'm following your analogy right, we ought to see that the subpopulation which has high IQ scores and low math scores would also have higher social skills, since the high IQ proves they have lots of transistors but the low math scores show they haven't spent any transistors on the GPU. Do they?
It would certainly seem that they should. Anecdotally, it seems to me the answer is yes, but I don't know offhand whether statistical evidence has been gathered.