再看看Grothendieck是怎么说的吧：
Since then I've had the chance, in the world of mathematics that bid me welcome, to meet quite a number of people, both among my "elders" and among young people in my general age group, who were much more brilliant, much more "gifted" than I was. I admired the facility with which they picked up, as if at play, new ideas, juggling them as if familiar with them from the cradle—while for myself I felt clumsy, even oafish, wandering painfully up an arduous track, like a dumb ox faced with an amorphous mountain of things that I had to learn (so I was assured), things I felt incapable of understanding the essentials or following through to the end. Indeed, there was little about me that identified the kind of bright student who wins at prestigious competitions or assimilates, almost by sleight of hand, the most forbidding subjects.
In fact, most of these comrades who I gauged to be more brilliant than I have gone on to become distinguished mathematicians. Still, from the perspective of thirty or thirty-five years, I can state that their imprint upon the mathematics of our time has not been very profound. They've all done things, often beautiful things, in a context that was already set out before them, which they had no inclination to disturb. Without being aware of it, they've remained prisoners of those invisible and despotic circles which delimit the universe of a certain milieu in a given era. To have broken these bounds they would have had to rediscover in themselves that capability which was their birthright, as it was mine: the capacity to be alone.
加粗这一段很好地阐述了“竞赛天赋”和“学术研究天赋”的区别。
许多学生并没有见识过第一流的研究是怎么做出来的，所以会觉得这段话离自己很远。自己做过研究，并且努力想把研究做好的人，往往会对这段话有更深的共鸣。
评论区的一些人要搞清楚哈，你要反驳的不是我，你没必要在那扯“我”有没有资格评论。虽然我大概率比“你”有资格得多。
你想要反驳的是丘成桐和陶哲轩这些人的观点。要不再想想你的资格论？
陈省身：我做不来竞赛题。
丘成桐：少搞竞赛，对数学研究没帮助。
陶哲轩：竞赛跟数学研究不一样。
许晨阳：数学研究需要广泛能力，过度竞赛训练不足取。
知乎网友：我不信，竞赛成绩好就是数学研究天赋高。
许多学者，包括且不限于一些顶尖数学家和竞赛选手，都强调过竞赛和学术研究的区别：竞赛像短跑、而研究则像长跑；竞赛鼓励牺牲思维深度来提升思考速度，而研究强调深度、不追求给定时间内的解题能力；竞赛题一定有答案，而在研究中找到“可能有答案”的非平凡问题本身，就需要过人的洞察力。
平心而论，一个人的成就确实不能光看天赋、甚至个人能力。选择的方向，个人性格，乃至历史的进程都会有影响。但是反过来说，“竞赛”也是一样的：这些影响成功与否的因素，同样适用于竞赛培训。
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