The core rebuttal to the race-and-IQ argument is a point of logic. How heritable a trait is within a group says nothing about why two groups differ, as Richard Lewontin argued in 1970 with his seeds-in-soil example. The episode explains that gap and tests it against evidence including postwar German children, transracial adoption studies and the rise in IQ scores over the twentieth century.
Hereditarians have answered Lewontin seriously, citing the DeFries formula, attenuated adoption gains by adolescence, and selection among servicemen in Eyferth's study. Critics reply that key quantities cannot be estimated without environmental controls.