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simplex1
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http://math.stackexchange.com/questions/1625487/who-is-born-earlier-in-time-the-great-grandson-of-the-grandson-or-the-grandson
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simplex1 said:Take the case "one child policy".
No, I made a simplifying assumption that the ages at which everyone had their so was the same. That makes it trivial. The point is to simply count generations. A better-formed question would be "how many generations is that" and that is trivial.DaveC426913 said:Yup. It is insufficiently defined to provide an answer.
phinds has egg on his face. He thought the answer was trivial. but right about now, he's realizing he went off half-cocked.
No, not YOU have egg on your face, at least to the same extent that I did. You have made the same simplifying assumption I did.DaveC426913 said:There you go! That must be specified in the question.
And now the question is trivial.
Why have youphinds said:No, I made a simplifying assumption that the ages at which everyone had their so was the same. That makes it trivial. The point is to simply count generations. A better-formed question would be "how many generations is that" and that is trivial.
No I didn't.phinds said:No, not YOU have egg on your face, at least to the same extent that I did. You have made the same simplifying assumption I did.
But the one child criterion does not make for a unique answer. You have to make the simplifying assumption of same age births. Think it through, you'll get it. Assume all births are after a different number of years. Clearly you don't end up w/ the same answer (necessarily).DaveC426913 said:No I didn't.
The OP provided the missing criterion in post 8. 'One child policy' means that the answer is so trivial it is degenerate (Which is younger: Person A or the same person?) I'm not sure why you think I made any simplifying assumptions.
Yes it does.phinds said:But the one child criterion does not make for a unique answer.
You're missing the point. Write it out, using different ages for each person when their son is born. You get different answers and which path leads to a younger person will vary depending on those ages.DaveC426913 said:Yes it does.
You are comparing the age of a person to themselves. They are the same person.
Yeah, you're right. I goofed. Definitely egg on my face, not yours. Thanks.DaveC426913 said:See post 15.
Doesn't seem all that tricky if you think it through properly, which I did not at first.DaveC426913 said:It's a really tricky one!
Not true.simplex1 said:- If the distance between generations is considered the same, the one child policy assumption is not necessary.
Flawed logic. I am the son of my father. That does not mean I have no brothers. You certainly can't assume that in the question.simplex1 said:Anyway the question already suggests that the reference person has only one grandson who has, in his turn, only one great grandson and the same person has only one great grandson who has also a single grandson. It is not "a great grandson of a grandson" is "the great grandson of the grandson".
Nope. Again, the initial question is insufficiently-defined to result in a unique answer.simplex1 said:There could be multiple solutions but as it is the question is quite restrictive.
Even with that narrow interpretation the question is still not well posed. Consider the following family tree:simplex1 said:Anyway the question already suggests that the reference person has only one grandson who has, in his turn, only one great grandson and the same person has only one great grandson who has also a single grandson. It is not "a great grandson of a grandson" is "the great grandson of the grandson".
A1
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A2
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--
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F1 M3
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M4 F2
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A3 A4
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M5 M6
If the distance between generations is considered the same, the one child policy assumption is not necessary.
DaveC426913 said:Not true.
Michael Collins is my grandfather's great-great-grandfather. He is also my brother's grandfather's great-great-grandfather.
Which of us was born earlier?
Why do you insist on this? We were not born at the same time, yet we still meet the criteria of the question as-stated in the OP.Is it possible that, by this:simplex1 said:You were both born exactly in the same time (which is impossible).
you mean every generation is some arbitrary yet fixed length of time?If the distance between generations is considered the same
What about the incestuous case in which the grandson and the great grandson of the original person are, in fact, one and the same person.simplex1 said:MrAnchovy, yes you have found an interesting solution where the two are not the same person also only one grandson and great grandson are assumed to exist. I am looking for other possible cases.
A1
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M1
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| F1 -- Not a grandson
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M2 (by F1 and M1) -- "the" grandson and also "the" great-grandson
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F2 -- Not a great-grandson
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M3 -- The grandson of the great-grandson
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M4 -- The great-grandson of the grandson
A1
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A2 \
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F2 F3 (F2 is not the grandson)
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M1 / (M1 is the great-grandson)
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F4 M2 (M2 is the grandson)
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M3 F4 (M3 is the grandson of the great-grandson)
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A3
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M4 (M4 is the great-grandson of the grandson)
Yes. Nothing obliges you to read these posts.mgkii said:Dave - Phinds... would it be wrong of me to suggest "get a room"
mgkii said:Dave - Phinds... would it be wrong of me to suggest "get a room"?
There is no definitive answer to this question as it varies depending on the specific individuals being compared. However, statistically, men are born slightly earlier in time than women, with an average difference of 5-6 days. This is due to the fact that male fetuses tend to have a shorter gestation period.
No, being born earlier in time does not have any direct impact on a person's personality or traits. These are determined by a combination of genetics and environmental factors, and are not influenced by the exact time of birth.
No, there is no scientific evidence to support the concept of being "born earlier in time". This idea is based on the belief in astrology, which has been widely debunked by the scientific community.
No, there is no evidence to suggest that being born earlier in time has any impact on a person's success or achievements in life. These are determined by a multitude of factors such as hard work, opportunities, and personal choices.
Yes, some cultures and societies place significance on being born earlier in time, often linking it to ideas of fate or destiny. However, these beliefs are not supported by scientific evidence and should not be taken as fact.