Viliam comments on Could you tell me what's wrong with this? - Less Wrong Discussion
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That could be a problem of perception. If someone is book smart and unpopular, people say "he is smart". If someone is smart and popular, people say "he is cool".
There are sportsmen and actors with very high IQ, but no one remembers them as "having high IQ", only as being a great sportsman or a great actor.
Do you know how high IQ Arnold Schwarzenegger has? Neither do I. My point is, when people say "Arnold Schwarzenegger", no one thinks about "I wonder how high IQ that guy has... maybe that could explain some of his success". Maybe he has much higher IQ than Kasparov, but most people would never even start thinking in that direction.
Also there is a difference between intelligence and signalling intelligence. Not everyone with high IQ must necessarily spend their days talking about relativity and quantum physics. Maybe they just invest all their intelligence into improving their private lives.
The score I find on the internet for him is 135 which puts him on the same ballpark as Kasparov.