dxu comments on Innate Mathematical Ability - Less Wrong
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Thank you for writing this series Jonah. I'm don't have the time now to think deeply about this topic, so I thought I'd add to the discussion by mentioning a few related interesting anecdotes.
I doubt what made the Polgar sisters great was innate intelligence.
Another interesting anecdote is von Neumann not (initially?) appreciating the importance of higher-level programming languages:
EDIT: Apparently, von Neumann's attitude toward assembly was common among programmers of that era. http://worrydream.com/quotes/#richard-hamming-the-art-of-doing-science-and-engineering-2
Their father, Laszlo Polgar, was himself a fairly strong chess player, and it is well-known that intelligence is heritable. In addition, Judit Polgar at least (I don't know about the others) was a child prodigy, implying that she had a great deal of innate ability. Furthermore, chess requires very good working memory (due to something called the touch-move rule forcing players to calculate variations mentally), and it is theorized that working memory may actually be intelligence, further supporting the "innate ability" hypothesis.