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There's a real correlation between a society that tells people that they can do anything, and the existence of low self-esteem. So that's another way in which something quite positive can have a nasty kickback. There is another reason why we might be feeling more anxious --about our careers, about our status in the world today, than ever before. And it's, again, linked to something nice. And that nice thing is called meritocracy.
The beauty of a mathematical idea is that it can be shared and understood across cultures and time.
If facts, logic, and scientific procedures are all just arbitrarily "socially constructed" notions, then all that is left is consensus--more specifically peer consensus, the kind of consensus that matters to adolescents or to many among the intelligentsia.