Zachriel
Posts: 2723
Joined: Sep. 2006
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| Quote (Joe G @ July 24 2007,13:29) | | Quote (Zachriel @ July 24 2007,12:33) | This is a royal, paternal family tree. It has biological, social, political, financial and cultural significance.
We define "Sons" to mean all male descendents.
Sons of Abdullah = {Talal, Neyef, 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}
Sons of each other element = empty set
This is a nested hierarchy based on paternal relationships. The nested hierarchy of the Sons of Abdullah is strictly contained within the nested hierarchy of Sons of Sharif Hussein bin Ali. |
Nested and non-nested hierarchies: nested hierarchies involve levels which consist of, and contain, lower levels.
The "set" at the top of Zachriel's "tree" is Abdullah. If you look at the diagram closely you will see only his name.
That "set" does NOT include all the other sets-> it does not include all male descendants. Perhaps that is what the "tree" as a whole is trying to do, but that is not the point. The point is the SET at the top level maust consist of and contain all the sets in the levels below it.
Period, end of story. |
I defined no set called Abdullah. I did define a set called Sons of Abdullah. It consists of every male descendency of Abdullah. The Sons of Hussein I is strictly contained within the Sons of Talal is strictly contained within the Sons of Abdullah.
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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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