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Finally, there is the important distiction to be made between atheists in general being better poker players than theists (or not) and atheists being over represented in the upper echelons of professional poker.

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Umm... If they are over represented in the upper echelons of professional poker, then they must be better at it, it seems to me, whether by inclination, skills, or whatever!

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What I'm saying is that atheists can be over represented at the upper levels of poker and still not be any better than theists on average. Things that cause certain groups to pop up at the elite levels quite often have nothing to do with what is going on among the great masses.

For example, just because Americans win more gold medals per capita than say the French (maybe they do, maybe they don't) it does not follow that the average American must be more fit than the average Frenchman.