They did, to an extent.
But first let's step back a little bit and talk about IQ heritability.
IQ is highly heritable, and that heritability is largely driven by genes (from 50% to more than 70% according to most estimates, some going as high as 90%).
However, there are a few things to take into account when you are talking about exceptionally intelligent people.
First, you have the fact that Einstein's children, obviously, also have a mother, and therefore inherited their IQs from her as well. Now, Mileva Marić, Einstein's wife, was also pretty smart. In fact, she contributed to some of Einstein's work. But assuming she was less smart than Einstein, that would have been a factor driving the children's IQs down.
Secondly, there is the concept of regression towards the mean. What this tells us is that if both your parents are exceptional in a certain respect, you will probably be exceptional in that respect as well but not as much as your parents. So if both your parents are geniuses, you might be just as smart as them, you might be even smarter than them, but more likely you will be pretty smart, but not quite as smart as them.
Now on to Einstein's descendants.
The thing you have to understand is that the Einstein family has been plagued with health problems. You see, Einstein had three children:
Lieserl, who died in infancy (probably when she was one year old). Not much can be said about her intelligence obviously.
Eduard was a promising medical student, but then started developing schizophrenia. He was institutionalized for a large part of his life and the primitive treatment methods he was subjected to deeply affected his cognitive abilities.
Hans Albert Einstein
Then you have Hans Albert Einstein. Hans Albert was a pretty brilliant scientist. He was a professor of hydraulic engineering at UC Berkeley and the world's foremost expert on sediment transport. That might not sound as impressive as his father's achievements, but that still makes him a pretty smart person.
Hans Albert's children, again, had many of the health problems that characterized the first generation of Einstein descendants. You see, Hans Albert had four biological children, but only one of them, Bernhard Einstein, survived to adulthood.
Bernhard Einstein
Bernhard was a pretty smart guy. He became a physicist, worked in engineering for Texas Instruments and Litton Industries, and received half a dozen US patents in his life. That's pretty decent, but that's not quite as great an achievement as his grandfather's.
Bernhard had five children, but I was unable to find information on any of them. I assume they had lives similar to their father's: pretty successful by normal standards, pretty unsuccessful compared to their great-grandfather.
Here's the thing: I have the IQs of none of these people, not even Einstein's, and I don't want to be judging their lives.
However, at least with regards to their scientific achievements, you could say that this is a good example of regression to the mean: from the greatest physicist in the world to the foremost expert in a relatively restricted scientific field to a pretty good engineer. That's what the Einstein lineage looks like.
One Simple Answer : Regression to the Mean
Many others have mentioned it before but here’s a simpler explanation as to why it occurs-
This is a purely statistical concept (and not biological), according to which if a population characteristic follows a Bell Curve (or a Normal Distribution), and you start picking out random points from this population- most of them will lie close to the population average and very small number of them will lie further from this average. The farther you go from mean - the lesser and lesser chance you have of finding points there.
Suppose that Einstein’s lineage (a clan of direct ancestors) is that population you are considering , and the off springs of this lineage (Einstein himself being an off spring of this lineage) are the randomly selected points. Now suppose this is a lineage of relatively smart people - say an average IQ of about 140 ( Mind you, average has been calculated by speculating the IQ’s of 10’s or 100’s of generations of this family - just suppose!). So we’re quiet sure that this is the actual average IQ of the lineage. Maybe this is because they have a specific gene that enables this particular trait.
Now comes the fun part. This IQ is a random variable. In our context it is safe to assume that it has two factors responsible - the genetic factor , which is relatively constant; and the random environmental/natural/psychological factor that either boosts this average value or dampens it. So some of the off springs are likely to have an IQ >140 while others will have <140. But almost >75% will likely lie in the range of 130–150, the reason being the same - Normal distribution or the Bell Curve.
But some of the off-springs will be outliers, say IQ>165 or IQ<115, either of them will have less than 5% chance of ever occurring(by simple statistics). And having an IQ even more( say>170) will have an almost zero (about 0.5 %) chance. This is true the other way round too i.e., IQ<110 is also extremely unlikely.
This is the reason for the fact that even if Einstein was an outlier (which he certainly was), his offsprings will still stick to the family’s or lineage’s average IQ (the same gene pool) and not his own. Now this is only half the picture - you’ll have to adjust it for the mother’s half too. Then for an off-spring to be an outlier he/she’d have to be in the outlier zone for both the families (assuming that the mother’s family also has a similar IQ level) which is even half as likely as the earlier possibility viz <2.5% chance. This also the reason why the children of intellectually less able (or Down syndrome) people are most likely too be much smarter than themselves (Ofcourse assuming that it doesn’t run in their family, which is generally not the case).
Now there are bunch of other uncontrollable biological factors too. If you take everything into account - you’ll see how unlikely that is.
Still have a question? Ask your own!
