I think people have different capability of understanding abstract concepts,I find some people grasp those abstract mathematical objects more easily than others,I have always wonder how these guys think or what has happened in their brain when they deal with the abstract concept like high dimensional manifold,is there any tricks? For me I have always try to visualize those objects to help me understand it, however for some more abstract objects, it is harder or impossible to visualize,which makes me very hard to grasp it, I wish professor Tao could share with us how he understand those abstracts. It will be very useful for us，looking forward your reply!!!😊😜

]]>People like Tao roughly say “Genius (or talent or whatever) is neither necessary nor sufficient”. This is nothing but “obvious”. I would like to hear more subtle points here. And, everyone knows that all successful mathematicians already have some great talent PLUS they work like hell.

I have a rock-solid IQ of around 150 and I cannot see anyway my friends of IQ around 120 can accomplish what I have done through dogged work of 10 years with quite a bit of creativity. And, believe me what I have done is infinitely smaller than that of Tao. Period.

]]>Basically, a blog post about my experience showing while intelligence is important, it pales in the face of infinite knowledge.

]]>*[Corrected, thanks – T.]*

People want to go with the easy way. Nobody wants to work hard. Then they say “our intelligence is not enough to be a mathematician”. in fact they are deceiving themselves. No need to be a genius to be a mathematician. Even genius, crazy mathematicians table already wrong from the beginning. The biography of a mathematician is overrated. to become a mathematician; it is necessary to ask question, hard work and research. society has the wrong idea about mathematics. for example, some people think that even the great mathematician born genius. but this is bullshit. Thank you. *and sorry for my bad english*

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