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their parents were most likely smart and educated because of their genetics which they then passed down

Smart and educated is not enough. That's my point. Many of those geniuses had children who inherited genius genes, and yet have not became geniuses. Why?

Regression to the mean.

You only get 50% of the genes from each parent. It's not likely both parents are geniuses.

And genetics only accounts for half the variance. The other half being non-shared environmental differences. The kids and their parents have completely unique experiences.

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