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GuteAntwort2021
8 months ago

Hello.

One takes over half of the nationalities of his parents.

Kind = 0,5*Papa + 0,5*Mama

And here we already meet the first hurdle. Nationality must always be inherited in the ancestors’ series at 1/2^n. Accordingly, no one can be exactly 30% German and 70% Polish because n must be a natural number.

25% and 75% went, then a grandparent would be German and the other 3 Polish. Or 2 of the 8 great-grandparents German, or 4 of the 16 great-grandparents, etc. Or 37.5% (3/8 -> 6/16 -> 12/32).

But the proportion of nationality must always be present in the denominator with a 2 potency. It’s not in there at 30%, unless we assume that children were born within our own family. So a mother and a father, for example, who have the same great-grandmother…

2^1 * 0,3 = 0,6
2^2 * 0,3 = 1,2
2^3 * 0,3 = 2,4
2^4 * 0,3 = 4,8
...

Here you should hope that you will come to an integer at some point, but I don’t think so.

I would simply say that 5 of the 16 great-grandparents were German and the other 11 were Polish. Then you’ll comb to a ratio of

31.25% German and 68.75% Polish

However, such computational examples are nonsense, as has already explained to you in detail. And at the 88 in your name, which I just noticed, I probably shouldn’t have answered it.

LG

eterneladam
8 months ago

Depends on how you define this or on which generation. With every generation back you have the double number of ancestors who bring their origins into the “mixture”. (2 parents, 4 grandparents, ….). At some point, you need to make a point, you can’t go back anywhere (see also the answer from ). In the nth generation you can have d German ancestors, d from 0 to n. The proportion of German is d / 2^n. This can never be exactly 0.7, just like that.

FataMorgana2010
8 months ago
Reply to  eterneladam

Oh, yes – you can be on the 10. Level instead of 1024 only have 1000 ancestors, the 2^n are only the upper limit. Especially in stationary communities it is completely normal that couples have common great-grandparents, and then it’s just 1000. So it can happen.

FataMorgana2010
8 months ago

It’s called ancestors.

FataMorgana2010
8 months ago

Such statements are already mathematically nonsense. When is someone 100% German? If both parents are German? And they are also only 100% German, even if their parents were German? How many levels do I have to go back to calculate that? When do I have to calculate a non-German ancestor, the great-grandfather? Or the Ur-Ur-Ur-Ur-Grandfather?

If I consider my two parents as 100% German, then I am 100% German. But if I think that was a grandfather of my father Lithuanian and a great-grandmother of my father Französin, what am I? Is my father a quarter of Lithuanians and an eighth of French and I therefore an eighth of Lithuanians and a 16th of French? And when do I count? Six generations ago, my motherly ancestors were still flat speaking… yes what – Danish or German? Germany did not exist yet. So Prussia? Or hair? Do you want to go back 10 generations? Then you have 1024 ancestors (if not even married a few cousins 5th degree from mistake). Now you can count there, maybe about 700 Poles and 300 Germans are of them, but you should know from everyone if he was really 100% or maybe only 50% or anything else German or Polish. From when is a Danziger from the 18th Century a German or a Pole? Does that depend on his language? Or how are you gonna fix that?

Such statements are simply insane. And not somehow biologically otherwise justified (although this is of course bullshit, because there is no biological boundary between the different peoples), but for a percentage point, it is simply too vague what was actually meant.

FataMorgana2010
8 months ago
Reply to  Gemeinschaft88

Yes, but that’s what I’m talking about: every calculation step (one generation on) comes out something else. But if you want it like this, look at every generation of people, and tell each ancestor whether it is German or Polish. If then 70% are Polish on one level and 30% German, then you have found your value. And yes, because of the ancestors (joint ancestors) there can be a level at which the number of your ancestors can be divided by 10. And at this level you can also have exactly 70% or 30%.

Hamburger02
8 months ago

There are endless possibilities to get to this herald distribution.

pchem
8 months ago

A person has 2n+1-2 different ancestors V, where n indicates the highest generation to enter the calculation. For big n this may no longer be true, because then there are connections in the family tree. Of these ancestors, 30% would have to be German (D). Here I outlined this once:

Blue is the number of all ancestors V depending on the generation n and the dotted curve is 0.3 times this number, i.e. the number of all German ancestors D. Since no broken number of people exists, these values were rounded to the next natural number (the black stages). The ratio of the rounded number of Germans to the ideal number of Germans is now indicated in red. Here, a ratio of 1, i.e. the ideal number is as close as possible to a natural number, would be desirable. You can see that this occurs more rarely at a low generation. With a higher number of generations already, since with very many ancestors the ratio 70 to 30 can be better approximated by a ratio of natural numbers. Graphically, I would say that at n=4 one is quite close to the 1. These would be 30 ancestors and of them 9 Germans and 21 Poles (which are actually 30% and 70%). On the other hand, a person has not only 4 generations of ancestors…

sarah3
8 months ago

I would say spontaneously that it is not possible

ZiegemitBock
8 months ago

Just like other people. Two parents, four grandparents, eight great-grandparents, etc.

FataMorgana2010
8 months ago
Reply to  ZiegemitBock

And where are you gonna move the border?

ZiegemitBock
8 months ago

Between Poland and Germany? That is why I practically stick to the current border.

FataMorgana2010
8 months ago

Exactly.

ZiegemitBock
8 months ago

Classification of the descent of people by nationalities is absurd anyway. We all belong to a kind of thing, done.

FataMorgana2010
8 months ago

That’s why this kind of calculation is so absurd. Depending on the subtlety of information, I am 100% German (parents), 100% German (grandparents), 87.5% German, 12.5% Lithuanian, etc.

There is no exact value.

ZiegemitBock
8 months ago

Usually you go back as far as the information is sufficient. Where your great-great-grandfather would live today, no one can say.

FataMorgana2010
8 months ago

No, I mean, what generation you’re gonna end. How do you reckon? my great-grandfather, who was German, but would live in Polish territory. You’d have to involve countless people in the percentage bill. If you say that you are German/Polish to xx%, then the same applies to the countless ancestors. And how do you calculate that? How the mixing ratio in liquids?