Why Do Children Think Covering Their Eyes Makes Them Invisible?

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Anyone who has ever engaged in a round of peekaboo with a child has witnessed an adorable yet somewhat illogical behavior that is nearly universally shared among children: the attempt to hide from view by simply closing their eyes. This is cute and all, but it's also baffling.
Why do children think they can render themselves invisible? And why have nearly all young children come to this same irrational conclusion? Cambridge researchers are finding out why.