A World of Cheese, For your Pleasure

When you go back in time generationally, your ancestors increase exponentially, but of course this isn't true, because that would mean that there would be more unique people on the planet at one time than there have ever been. People marrying their cousins was common, not because there were fewer taboos then, but because there were fewer people then. It was a big deal to meet someone from another village a even few hundred years ago, and there weren't even half a billion people anywhere 2500 years ago. Incidentally, the product of a union of first cousins is related to its parents by being their first cousin, once removed. The product of a union between brother and sister is related to its parents by being their 0th cousin, once removed, or niece/nephew.

This leads to a pretty convenient naming system then. For any two people, they are nth cousins, m times removed. Special cases:

1. n=0, m=0: brother/sister;
2. n=0, m=1: son/daughter (same branch) niece/nephew or aunt/uncle (different branch);
3. n=1, m=0: first cousins;
4. n=0, m=2: grandparents/grandchildren (same ancestor, same branch) OR great-aunt/uncle, grandniece/nephew (same ancestor, different branch);
5. m=0: nth cousins;
6. n=0: great-great-...grandparents/children OR great-great-great aunt/uncle, or niece/nephew (notice the extra "great" there).

   Pretty cool. If there are mistakes, let me know.