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you're only too late to become a good mathematician when you're dead
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Of course not.
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I'm 19 now. I'm trying to go for math major. I read your question and I feel worry about my future.
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It's never too late, especially when you're younger. It's harder to get into when you're older (like have a family and stuff) because usually there's just not enough time to deidcate to mathematics, but people make it work.
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16 is not too late for anything.

Actually, 16 is probably too early to be a good mathematician. Except in ridiculously extreme circumstances, by the age of 16 you simply have not had neither time nor chance to learn enough to be a good mathematician.
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given that the vast majority of people never see any math until they go to university, including the vast majority of people who become mathematicians, the answer is pretty obviously no.
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16 isn't too late to be pretty much anything.
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There's no age limit to learn new skills and gain knowledge. You're still too young to learn mathematics
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I'd say it much depends on your natural talent. I won't sugarcoat, but from my experience if you struggle at maths at 16 you'll definitely struggle way more at the university. Hell, I was one of the best students in my highschool, top 2 in my class and I barely passed calculus. The math related courses really are fast paced and if you know that you're a slow learner, I'd say pass.

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If you really do want to learn high level maths and be considered a good mathematician, it'll require a ton of work and you'll have 0 free time. There are probably easier ways to become a good mathematician than going to college/university/whatever though, but I don't really have any experience in that regard. Wish you luck though.
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Bro, you're 16. The whole world is yours.
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