The point Hopkin is highlighting is that since (as we agree) that it's easy to believe that from say, 1500BC to 500BC that at least one guy visited the Americas from Asia, and shared genes. We don't have photos but it's simply not reasonable to say it didn't happen.
Since then, 2,500 / 20 = 125 generations have passed. Remember that this is 125 doublings -- a factor of some 40 digit number. This would spread the guy's genes to every single human in the Americas. This isn't hard to believe considering that it took about that long for the first Eurasians to cover that area. The only way that his family tree would not have spread would be that maybe the guy had some kind of genetic condition where everyone in his family dies at birth (rim shot), or maybe him and the little woman moved to the moon (cow bell).
But seriously folks, not to worry-- I promise not to take advantage of our newly discovered family ties in order to borrow money.
George W. Bush will be reelected by a margin of at least ten per cent
Not at all necesarily true. Among my family, in my generation, two out of three siblings have no children. In my parent's generation, (father's side) one out of two have no children; mother's side, also one out of two have no children. So right now, my four grandparents have a combined total of ONE great-grandchild between them (and probably won't have any more, either.) That's three generations removed. If that kid becomes a priest, or dies young, all four grandparents will be out of the descendents game entirely.it's easy to believe that from say, 1500BC to 500BC that at least one guy visited the Americas from Asia, and shared genes. We don't have photos but it's simply not reasonable to say it didn't happen.
Since then, 2,500 / 20 = 125 generations have passed. Remember that this is 125 doublings -- a factor of some 40 digit number. This would spread the guy's genes to every single human in the Americas.
This kind of thing happens a lot, especially in societies with high infant mortality. Which means most of the human race throughout most of its history.