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| | Ask cperciva: Are great mathematicians born or made? | |
36 points by dwaters on June 26, 2008 | hide | past | favorite | 82 comments
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| | Okay, I have been reading quite a bit about this whole nature vs nurture debate. But I want to hear it straight from the horse's mouth. Can people who are not inherently 'gifted', start with an immense interest in math at a mid-point in their life, and still go on to make meaningful and significant contributions to the field? In other words, is precocity a prerequisite to doing good work in Math? I'd be interested to hear from a Putnam fellow like you. Also, what are the rest of YC readers' thoughts on this? |
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Probably not.
In other words, is precocity a prerequisite to doing good work in Math?
Maybe, depending on whether you by "precocity" you mean "demonstrated precocity".
Intelligence is something you either have or don't have -- and while there's still debate about how much of intelligence is genetic (25%? 50%? 75%?) it's clear that the nurture which is most important is that which takes place before age 5, when the brain is still at its most plastic. Consequently, I would say that anyone who is not gifted when they're 5 years old is unlikely to have a significant mathematical impact.
However, not everybody with intellectual gifts demonstrates them early. Mathematics is a field known for child prodigies, not because it's particularly suited to prodigies, but rather because mathematics prodigies tend to get noticed. Some fields, like mathematics or chess, have little knowledge required before intellect can be applied; others, such as chemistry or biology, require years of prerequisite study. Moreover, just like chess prodigies, the abilities of a mathematics prodigy are obvious and unarguable, while a remarkable writer is still likely to be rejected by his first 19 publishers -- and what 9 year old writer is going to send his manuscript to 20 publishers?
In short: You have to be smart to do make a significant contribution to mathematics, and I don't believe that people can "become smart" past a very early age. However, it's possible for someone to be smart despite not having been recognized as such, depending on which fields his intellect is applied against. Finally, it's definitely possible for someone who is smart but has never done well in mathematics to make a contribution to mathematics -- if he can develop the interest which is necessary for him to apply his intellect appropriately.
Is this a useful answer? I have some other ideas about intelligence and IQ and the Putnam and flashes of insight floating around, but I'm not entirely certain how to explain them -- and given that news.yc stories don't stay on the front page for long, I thought I should post what I could promptly rather than waiting for everything else to crystallize.