How much math do you know now? If you were able to do something like that at 15 I find it difficult to imagine you need help figuring out how to be a pure mathematician. It would seem someone with such skills would know to get a book on real analysis, complex analysis, topology, algebra and maybe number theory and then, once they have a good grasp of 'upper division level' math, move onto graduate level texts.I do know something about math..learn calculus by myself at 13..proved that the escape velocity of a black hole is c by 15(using schwarzschild radius equation and some newtonian physics)...But i want to know more...its just like if i'm dancing but i missed a step and i ruin the whole routine..And now i'm trying to be myself again..
That's much more difficult than you might imagine. Even if you're a great mathematician, your contribution to society might be very, very indirect, although, I believe, if you do well enough, it will be a significant one. Even if you are very good, unless you are one of the all time greatest, there's someone else who could step in and take your place. There's not that much glory in it, anyway. Don't do it for glory. Do it because you love it.I believe that i was meant for something great..Not just to procreate and then off to the nether world...
The 'downplay IQ' movement is an example of political correctness. Hard work is important but IQ more so.I suggest you ignore that link you gave and read instead advice from the real terry tao, not someone who pretends to be giving his advice.
here is an interesting article linked from terry's page that you might relate to.
That's very misleading. The phrase "more so" could not possibly have any meaning in this context.The 'downplay IQ' movement is an example of political correctness. Hard work is important but IQ more so.
That's very misleading. The phrase "more so" could not possibly have any meaning in this context.
First of all, IQ is a statistical concept. It only measures overall trends.
Secondly, IQ suggests that intelligence is 1-dimensional. But it's not. Different people have different strengths and weaknesses. That may translate into being great at one kind of math, but not so good at another kind. Maybe one person will have a great geometrical intuition and someone else may have great technical skills. One person may have an exceptional memory and another person may have unbeatable concentration and focus. To the extent that IQ even measures intelligence, it tends to average all these things out into one thing, and in doing so, it loses too much information to be that useful of a concept.
Thirdly, we live in a world where people are not taught how to use their brains effectively. Because of this painfully obvious and absurd lack of emphasis on HOW to do things effectively, we often frame things in terms of talent and hard work as if those were the only two things that are involved, in blatant disregard for reality. In fact, it's initially impossible to tell the difference between "talent" and just having happened to be doing things the right way by dumb luck. Or perhaps the more intelligent people are better at finding the right way of doing it. But it can still be taught.
Genetics play some role. As does upbringing, which, after the fact, you have as little control over as you do with genetics. But there are other very important factors to being successful.
That may be how IQ is defined, but that is not strictly how it works out. You can perhaps use IQs to overall group people say, (0,50), [50,100), etc. But a person with an IQ of 130 is not necessarily smarter than a person with an IQ of, say, 120 in any meaningful sense of the word smart.IQ is defined as one's abilities to grasp and synthesize abstract concepts. A person with a higher IQ can comprehend instructions in a shorter time period than that a lower IQ person, and make new inferences with the information that a lower IQ person would overlook. The IQ tests are designed to ascribe a numerical value to this ability that is normally distributed.
Actually the point of IQ is to measure g or general intelligence. This has only a statistical meaning. The point is that different tests of mental abilities tend to be correlated with each other. IQ is just one representative test that is singled out for that purpose. If you do well on IQ tests, then, statistically, you will probably do better on other tests. This discussion is fairly qualitative, so it doesn't give a very good feel for the actual results of these studies. And without understanding the actually mechanisms for intelligence, I would say it provides a pretty limited viewpoint.IQ is defined as one's abilities to grasp and synthesize abstract concepts. A person with a higher IQ can comprehend instructions in a shorter time period than that a lower IQ person, and make new inferences with the information that a lower IQ person would overlook. The IQ tests are designed to ascribe a numerical value to this ability that is normally distributed.
Comprehension is important but creativity to me is a lot more important.IQ is defined as one's abilities to grasp and synthesize abstract concepts. A person with a higher IQ can comprehend instructions in a shorter time period than that a lower IQ person, and make new inferences with the information that a lower IQ person would overlook. The IQ tests are designed to ascribe a numerical value to this ability that is normally distributed.
so your dad's punishment is to forbid you from going to college? That's rather unusualI'm sorry for not giving enough information about me...Ok..let me tell you about myself...I was a straight A's student until i was 16..Then everything started to go downhill for me..I study less..have fun more..sleep in class..everything.I was one arrogant son of a cow(I'm still on the top of the class without much effort)..
When my dad found out about that..he was basically furious..My dad and i don't get along well anyway...So he forbid me from going to university although i can..So i have to work..doing repetitive works,surrounded by 'dull' co-workers...Down into the deepest abyss and back(depression)...
So..i found someone that i really like..thinking of marriage(im 24) and maybe to continue my study ..I don't have enough money for both..But i know to continue living i have to hold on to something..mathematics would be one of those things...
What would u feel when u look at someone u know that has actually accomplished something..earn more than u?And he's not as smart as you are?(inferiority complex but who cares?)