TL;DR Berkson's paradox is a false observation of a negative correlation between two positive traits
If you exclude the (~a, ~b) sample then within the population that remains it looks like a and b are negatively correlated. (p(a|~b) = 1, p(a|b)=0.5)
It's interesting because this is something that happens a lot => when dating, looks negatively correlate with niceness within people you date because you don't date people who are neither. Diseases in hospital populations are negatively correlated because if you don't have anything you're not in hospital.
Can you suggest any good material you know on stats? (I'd prefer videos, but everything works) It seems to me you have a very solid background.