Fun with genetic exponents -
You have 2 parents, 4 grandparents, 8 great grandparents, and so forth.
Figure 3 generations per century.
What happens if we go back 20 centuries? Iow, just 2,000 years?
That's 60 generations (3*20) - or - 2^60 great great great etc etc etc grandparents.
How many is 2^60? It's (2^10)^6.
2^10 = 1k so we're talking 1k^6.
1k^2 = about a million, 1k^3 = about a billion.
So 60 generations works out to a billion billion great great great etc etc etc grandparents.
Same for anyone you meet.
In fact for two of you to be strangers, there would have to be 2 billion billion great great great etc etc etc grandparents kicking it all off just 2,000 years ago.
There hasn't been a billion billion people on the planet - ever - and we've been around a lot longer than 2,000 years.
There is exactly one way for the numbers to work out -
Everyone is related to everybody else.
No one is 100% anything, genetically speaking, except for 100% human - unless you make your time terms local.
Extremely locally, I'm 100% New Mexican now and 100% in my living room.
Genetic tests showing anyone as 100% European (or anything else) are all local measurements. They masquerade as long term but all they're really showing is that DNA isn't a perfect time record, just a pretty good local measurement for what it is.
Mathematically, racism is stupid because racial purity is a numerical impossibility.
Numbers don't lie.
Everyone is related to everybody else.
- fun with genetic exponents.
You have 2 parents, 4 grandparents, 8 great grandparents, and so forth.
Figure 3 generations per century.
What happens if we go back 20 centuries? Iow, just 2,000 years?
That's 60 generations (3*20) - or - 2^60 great great great etc etc etc grandparents.
How many is 2^60? It's (2^10)^6.
2^10 = 1k so we're talking 1k^6.
1k^2 = about a million, 1k^3 = about a billion.
So 60 generations works out to a billion billion great great great etc etc etc grandparents.
Same for anyone you meet.
In fact for two of you to be strangers, there would have to be 2 billion billion great great great etc etc etc grandparents kicking it all off just 2,000 years ago.
There hasn't been a billion billion people on the planet - ever - and we've been around a lot longer than 2,000 years.
There is exactly one way for the numbers to work out -
Everyone is related to everybody else.
No one is 100% anything, genetically speaking, except for 100% human - unless you make your time terms local.
Extremely locally, I'm 100% New Mexican now and 100% in my living room.
Genetic tests showing anyone as 100% European (or anything else) are all local measurements. They masquerade as long term but all they're really showing is that DNA isn't a perfect time record, just a pretty good local measurement for what it is.
Mathematically, racism is stupid because racial purity is a numerical impossibility.
Numbers don't lie.
Everyone is related to everybody else.
- fun with genetic exponents.