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That negative correlation exists only between social groups, not within social groups:

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3449224/

If you look at only populations who were likely to go to college in the first place - say, white (formerly) middle-class two-parent households, which is what the bulk of my high-school friends were, there's a positive correlation between educational attainment and fertility. Simpson's Paradox strikes again...



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