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Success at science is not a random thing, but a child's individual IQ is a better proxy for scientific ability than either race or gender. Is there a reason to discourage a child who demonstrates very high math skills from pursuing a career at science if he or she belongs to a group with low average math skills?

No, but Alice seems to think we shouldn't even have teachers who know about the relationship between race/sex and IQ.

Also since IQ isn't a perfect proxy for scientific ability by Alice's logic we shouldn't even discourage low IQ students from pursuing careers in science.
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