Earlier quoted context omitted.
The logic in my claim is that the overwhelming majority of people will reach nowhere even remotely near to their genetic potential in literally anything. You can see this in any endeavor where performance can be objectively measured - chess is the obvious one. A 2000 rated player is not much more than a strong amateur, but that already leaves one in like the 90th+ percentile for a game that millions of people work an…
This was not undergraduate math in my case, but I still don't agree. I don't think anyone of average intelligence can excel at undergraduate math. It of course depends on the degree and the school. Can anyone with average intelligence excel at an undergraduate math course in community college for their psychology degree? Probably yes. But an undergraduate math course at oxford as part of a maths degree? Not for sure…
Terence Tao, at 8 years old (1984) [pdf]
321–330 of 343 posts
Re: Terence Tao, at 8 years old (1984) [pdf]
#322Earlier quoted context omitted.
A mathematician is someone who creates or advances math. Not someone who uses math. If you don't understand how the word is used, that's your problem, not a problem with the statement.
Let me check that claim using a dictionary: mathematician /măth″ə-mə-tĭsh′ən/ A person skilled or learned in mathematics. One versed in mathematics. An expert on mathematics. The American Heritage® Dictionary of the English Language, 5th Edition • More at Wordnik None of the definitions require creating or advancing mathematics.
I don't even buy that regular people call someone who is "versed in mathematics" a "mathematician".
If you met a 30 year old person and asked what they do and they said "I'm an athlete" - do you take the dictionary definition there too? Most people will assume they mean a professional athlete.
Re: Terence Tao, at 8 years old (1984) [pdf]
#323Earlier quoted context omitted.
I don’t say everyone has the same mental ability. But I stand by my point. Those people you mentioned might be dimwitted in part _ because_ their lack of enthusiasm for learning is low, so they didn’t do it. I don’t care how smart you are, effort matters.
Yeah, Fermi was such an unmotivated slacker. Relayed by Nick Metropolis: Fermi and von Neumann overlapped. They collaborated on problems of Taylor instabilities and they wrote a report. When Fermi went back to Chicago after that work he called in his very close collaborator, namely Herbert Anderson, a young Ph.D. student at Columbia, a collaboration that began from Fermi's very first days at Columbia and lasted up un…
Re: Terence Tao, at 8 years old (1984) [pdf]
#324Earlier quoted context omitted.
Not sure it works like that, I think his biggest superpower was intrinsic motivation. Any child who read maths textbooks with enthusiasm for 3-4 hours a day for years could in theory at least get close to doing what he did, but what kid had that level of motivation?
There is a massive body of research showing this is not true
Re: Terence Tao, at 8 years old (1984) [pdf]
#325Earlier quoted context omitted.
> 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 determini…
> 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 ho…
Re: Terence Tao, at 8 years old (1984) [pdf]
#326Earlier quoted context omitted.
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.
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
Re: Terence Tao, at 8 years old (1984) [pdf]
#327Earlier quoted context omitted.
Not sure it works like that, I think his biggest superpower was intrinsic motivation. Any child who read maths textbooks with enthusiasm for 3-4 hours a day for years could in theory at least get close to doing what he did, but what kid had that level of motivation?
There are probably hundreds of people on this site who had the same enthusiasm for math and time dedication as Terence Tao, but lacked his extreme outlier fluid intelligence, processing speed, perfect memory, and even handwriting talent(!). Terence Tao mastered calculus at an age when most future-mathemician geniuses weren't yet strong readers of chapter books.
I don’t doubt he’s talented too. But, it’s a chicken and egg problem and I’m sick of people pretending it isn’t.
Re: Terence Tao, at 8 years old (1984) [pdf]
#328Re: Terence Tao, at 8 years old (1984) [pdf]
#329Earlier quoted context omitted.
Not sure it works like that, I think his biggest superpower was intrinsic motivation. Any child who read maths textbooks with enthusiasm for 3-4 hours a day for years could in theory at least get close to doing what he did, but what kid had that level of motivation?
I take it you've never met another human before
Re: Terence Tao, at 8 years old (1984) [pdf]
#330Earlier quoted context omitted.
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.
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…