The Tyranny of the Left

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I never connected the idea of brain physiology being substantially different between the sexes.  Each brain may be tuned to the physiological differences between sexes, but in function each seems quite analogous and almost eerily similar.  I always thought that sex is not much of a determinant of mental function, since humans share most every known weakness in normal brain functions.  Perhaps brains are a homogenous organ.  Not in function, but in physiology.

It makes me question if the left/right organization of mental processing is really related to sex. 

Not disagreeing with you, just noting that's new to me. 
(And I recognize that there is a difference between brain and 'mind'... another wrinkle in my understanding.)

And since I'm not ego driven, I can freely admit I could be wrong.

I'm not ego driven either Max. I don't mind being wrong at all. It means that I've learned something.

I've merely suggested the corpus callosum being thicker (if it is) might infer a difference in the relationship between the two halves. Bearing in mind that there are differences in functionality between said halves.

I saw a study suggesting that an explanation for the thicker corpus callosum in women might be due to the smaller brain size. I'm not sure why that would be though.