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> No, they couldn't.

Isn't that a bit too certain for something that's not settled at all? How else would you explain the Polgar sisters? I'm sure there are other examples, but this is the most famous one.

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Few claims in the social sciences are more fully settled. I don't think you could find a researcher in the world at a major university making that claim that randomly selected children could be reliably turned into world-class mathematicians with enough training.

> How else would you explain the Polgar sisters?

Genetics is the obvious explanation. The father was clearly very intelligent.

Also to clarify: I agree that training and effort can have large effects, and that focusing on them is a good strategy. Over-believing in them is probably a good bias, even. But the idea that everyone is more or less the same except for effort is ridiculous.

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I simply disagree. Yes, they could. Same with adults. Basically no one does.

Also I didn’t say innate ability doesn’t exist. But in my opinion is a small multiplier on top of effort. That’s why I said close to.

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As a TA, I've seen adults try to pass initial college calculus many times (and failing - you were allowed to try several times) with enormous effort. It's not a small multiplier

And this was still people selected from the small subset of the population choosing an engineering major. Human are much, much more different than you seem to think

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There are many, many people (math majors, competitive programmers, chess players, etc) who devote incredible effort to becoming better, and simply cannot reach elite levels. And while in most cases elite players are also putting in a lot of effort, there are many cases where it is still relatively less than their peers who are trying harder but still lagging them.

Would you ever be tempted to make such a claim (that everyone is close to the same in ability and effort is the main determiner of success) about athletes? It's so obviously untrue that it's laughable. Why would you think that mental ability is magically distributed evenly?

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> Would you ever be tempted to make such a claim (that everyone is close to the same in ability and effort is the main determiner of success) about athletes?

Well yes, absolutely. People don’t do quadruple axels on the ice because they were somehow born with the ability, they can do it because they practice figure skating every day for years. Innate ability (or in this case, let’s be honest, mostly genetics determining body shape) certainly makes the difference between becoming an Olympic gold medalist and just being very good at the sport, but you need to get very far in the field before it truly holds you back.

I don’t have a lot of experience with high-level professional sports, but I’m a classically trained violinist, and I’ve seen first-hand how a lot of the abilities that many people chalk up to “talent” (sense of rhythm, perfect pitch, composing music) are just skills that can be learned. Some students might need to practice more than others, sure, and some might reach a higher ceiling, but I firmly believe anyone can reach a high level with applied effort.

“I don’t have the talent to paint so I won’t learn to do it” is a self-fulfilling prophecy.

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> People don’t do quadruple axels on the ice because they were somehow born with the ability, they can do it because they practice figure skating every day for years.

You've changed my claim. My claim isn't that world-class athletes, or even good athletes, don't have to work hard because of their talent to achieve elite levels. It's merely that talent is a huge determiner in success. It's also a huge determiner in how effective training is. An hour of training might improve a talented person 5 or 10x more than an hour of training would improve someone else.

This is all blindingly obvious if you've seen a sample of kids growing up. I remember the sister of one of my daughters friends, at age 3, was easily out-performing her brother and my daughter, who were a couple years older. This little 3 year could fearlessly climb up jungle gyms with ease, and kick around a ball, and swim fast. She hadn't practiced more. She could just do it.

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That's probably why some competitions are called Math Olympics.

OTOH maybe there is no posibility whatsoever that genetics can determine mind shape no matter what.

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Your post reads like someone is bitter because he is a midwit
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