Zachriel
Posts: 2723
Joined: Sep. 2006
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| Quote (Joe G @ July 24 2007,18:30) | Zachriel,
In your diagram Sharif Hussein bin Ali sits ALONE at the top of his paternal family tree. I apologize for the name confusion earlier.
I don't care what trickonomics you want to throw around. Go sell crazy someplace else, obviously they have enough here.
The patriarch always sits alone on top of his family tree. He never consists of nor contains his descendants. |
Any non-trivial subset of a nested hierarchy is also a nested hierarchy. The leaves on an archetypal tree are a nested hierarchy by branch and limb, while each limb is a nested hierarchy by branch and stem. If you cut a limb, any branch descended from the limb is also cut from the trunk. (Contrariwise, spider webs are not nested hierarchies. If you cut an arbitrary thread, the rest of the web will probably hold.)
Paternity is an important aspect of inheritance. The real-life paternity I provided only includes father-son relationships. Here is a list of the elements of each set based on paternal relationship such that you can examine the elements of each set and verify the nesting.
Sons of Abdullah = {Talal, Nayef, Hussein I, Muhammad, El Hassan, Abdullah, Ali, Faisal, Hashim, Hamzah}
Sons of Talal = {Hussein I, Muhammad, El Hassan, Abdullah, Ali, Faisal, Hashim, Hamzah}
Sons of Hussein I = {Abdullah, Ali, Faisal, Hashim, Hamzah}
Any element in Sons of Hussein I will be found in Sons of Talal. Any element in Sons of Talal will be found in Sons of Abdullah.
| Quote (Joe G @ July 24 2007,13:37) | | If you have a scheme of x and all male descendants ox x, with x also being a male, what happens when one generation is of all females, who then have sons? |
If a father has only daughters, then the paternal inheritance ends. This is a common issue in many traditional societies (e.g. Jane Austen's Pride and Prejudice). If you include female descendents and allow crosses between "kissing cousins", then you would not have a consistent nested hierarchy. A complete family tree including marriages is not a nested hierarchy, but a crossing of separate lineages.
Of course, your misunderstanding is far more fundamental. You consistently refuse to respond to arguments, while never failing to cast aspersions.
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You never step on the same tard twice—for it's not the same tard and you're not the same person.
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