This analysis seems to quietly assume that various important skills are independent variables and therefor many people in top of their field will neccesserly be average in various other skills (actually, the chart goes even further and assumes that there’s universal negative correlation between skills—I’m not even sure if that’s mathematically possible for more than 2 variables).
World’s greatest genontologist will probably be very good at statistics and even Ed Jaynes would probably be a above average generontologist just because he can effectively interpret generontology data.
Appliability of logic in physical world is sort of a theorem based on the laws of physics (mostly more metaphysical and less technical like the persistence of objects, that themselves as theorems of the basic laws of physics) and the laws governing the process of formulating atomic statements based on the observations.
At the same time we need to be careful as we can easily fall into the trap of unfalsifiability—when the predictions of logic fail, we’re used to say that the problem was with our atomic statements.
That’s just the sketch of the full explanation of the topic, which would require at least a chapter.