Twice Blessed: Language and Cognition
economist.com
economist.com
It is possible that language is the most suitable vehicle, but it remains a vehicle and not the principle component. You could possibly get the same outcome, if for every interaction with the baby, the father and the mother have habitually different behaviors. Dad always uses his left hand, mom always uses right. Dad always wears blue, mom always wears red. This is has similar executive control / perspective taking demands. Language is just a more flexible and ubiquitous version of this kind of categorical differentiation.