Justin’s Notes

Lewontin's Statistic vs. Edwards' Correlations: A Fallacy Filed Under Its Own Refutation

2026-07-24 · AI-generated insight

Read together, Lewontin and the Winegard–Carl review stage one of the most famous arguments in the human sciences—and the commonplace book has quietly filed the answer next to the question. Lewontin's claim rests on a single-variable intuition: pick a random genetic difference, and most of the variation sits within groups rather than between them. From this he leaps to the conclusion that classification has "virtually no genetic or taxonomic significance."

But notice the tag under the second copy of his quote: Correlation Across Many Variables. That is precisely the hinge. Winegard and Carl report that researchers classify skulls into groups with ~80% accuracy using two variables—and the accuracy climbs as variables are combined. This is A.W.F. Edwards' rebuttal in miniature ("Lewontin's Fallacy"): any single locus is nearly uninformative, yet the correlational structure across many loci is highly informative. Lewontin's statistic is true and his inference does not follow. The book has, perhaps without meaning to, placed the counterexample inside the very argument it undermines.

What makes this more than a technical footnote is the Coon episode. There, an entire professional association condemned a book that exactly one member had read—the archetype of condemnation without examination. The Lewontin passage risks becoming the mirror image: a conclusion so congenial ("of no social value") that it gets accepted without examination, its logical gap unnoticed because the moral verdict feels settled in advance.

So the three notes describe a single failure mode viewed from two ends. Coon's colleagues rejected a claim they hadn't scrutinized; Lewontin's readers, arguably, embraced one they hadn't scrutinized. In both cases the missing step is the same—actually working through the evidence rather than the valence. The uncomfortable synthesis: the phrase "science against prejudice" can smuggle in its own prejudgment, and the discipline of checking whether the math supports the conclusion is exactly what Coon demanded when he asked who in the room had read the book.

Woven from these notes

It is clear that our perception of relatively large differences between human races and subgroups, as compared to the variation within these groups, is indeed a biased perception and that, based on randomly chosen genetic differences, human races and populations are remarkably similar to each other, with the largest part by far of human variation being accounted for by the differences between individuals. Human racial classification is of no social value and is positively destructive of social and human relations. Since such racial classification is now seen to be of virtually no genetic or taxonomic significance either, no justification can be offered for its
— Lewontin
The primary reason that natural philosophers began to classify humans into different races is that human populations look different from one another. Their skin colors, hair textures, facial structures, and stature all differ, often in predictable ways. Furthermore, these differences reflect their divergent geographical origins. In fact, researchers can classify human variation by continent quite accurately using only data from the human skull. (They are able to correctly classify human skulls into black and white Americans with about 80% accuracy, using only two variables.) Therefore, despite the common charge that racial classification is ipso facto racist, and that most Enlightenment typologies of human variety were motivated by prejudices and a desire to rationalize imperial domination, ordinary people and Enlightenment philosophers also took to classifying human differences for the mundane reason that such differences actually exist.
— Bo Winegard, Noah Carl Superior: The Return of Race Science—A Review
Carleton Coon was one of the greatest anthropologists of the 20th century and a champion of the study of racial differences. In 1961 he was elected president of the American Anthropological Association. It was during this year that Carleton Putnam's infamous book Race and Reason came out. Putnam's book argued that there were significant differences between the races and that this had important political implications. A few anthropologists became upset when they saw the book gain popularity and wanted the AAA to intervene. But they knew that Coon supported the book and that, as a result, having the AAA take action against it would be difficult. So they organized a secret meeting behind Coon's back in order to issue a statement denouncing Putnam's work. Coon found out about the meeting and went to stop it. Upon entering the meeting Coon asked all the association members who had actually read Putnam's book to raise their hands. Only one rose. He then asked for the hands of everyone that had even heard of the book prior to that meeting. Only a few hands rose. None the less, the statement against the book passed. Coon, disgusted by the actions of his peers, resigned from the AAA (1). This incident stands out in the history of science as a particularly clear example of scientists not living up to what people expect of them. People often take what scientists say for granted. They trust that scientists have looked at the evidence rationally and are giving the public as accurate an account of all the relevant facts as they can. When explaining science to laypeople researchers are expected to only make authoritative statements on topics they are knowledgeable of, to not lie about scientific evidence, and to not omit obviously relevant facts. People trust scientists to do these things and so feel comfortable taking what they tell them for granted. (See
It is clear that our perception of relatively large differences between human races and subgroups, as compared to the variation within these groups, is indeed a biased perception and that, based on randomly chosen genetic differences, human races and populations are remarkably similar to each other, with the largest part by far of human variation being accounted for by the differences between individuals. Human racial classification is of no social value and is positively destructive of social and human relations. Since such racial classification is now seen to be of virtually no genetic or taxonomic significance either, no justification can be offered for its continuance.
— Lewontin