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FreeSpirit1 We have observed genotypes involving XXX, XXY, XYY and X0 (Turner syndrome) sex chromosomes. And we've observed human phenotypes with a range from no functioning sex organs to varying amounts of male & female sex organs on the same individual (these are often called intersex). Genetic mosaicism is where the X and Y chromosomes are expressed differently (from the most common expression) on different parts of the body (these phenotypes are also often described as intersex and sometimes hermaphrodite). These are all observable biological phenomena that either God or Nature brings into the human family, and they don't quite fit into either of your two boxes!
But the real debate is about the most complex sex organ of all, the human brain.