Terence Tao: belief

Transcript context

…And we should say for people who don’t know, not only are you known for the brilliance of your work, but the incredible productivity, just the number of papers, which are all very high quality. So there’s something to be said about being able to jump from topic to topic. Yeah, it works for me. But there are also people who are very productive and they focus very deeply. I think everyone has to find their own workflow. One thing which is a shame in mathematics is that mathematics has a sort a one-size-fits-all approach to teaching mathematics, and so we have a certain curriculum and so forth. Maybe if you do math competitions or something, you get a slightly different experience. But I think many people, they don’t find their native math language until very late or usually too late. So they stop doing mathematics and they have a bad experience with a teacher who’s trying to teach them one way to do mathematics that they don’t like it. My theory is that humans don’t come, evolution has not given us a math center of a brain directly. We have a vision center and a language center and some other centers, which evolution has honed, but we don’t have an innate sense of mathematics. But our other centers are sophisticated enough that we can repurpose other areas of our brain to do mathematics. So some people have figured out how to use the visual center to do mathematics, and so they think things very visually when they do mathematics. Some people have repurposed their language center and they think very symbolically. Some people, if they are very competitive and they’re gaming, there’s a part of your brain that’s very good at solving puzzles and games, and that can be repurposed. But when I talk about the mathematicians, they don’t quite think that, I can tell that they’re using some other different styles of thinking, not disjoint, but they may prefer visual. I don’t actually prefer visual so much. I need lots of visual aids myself. Mathematics provides a common language, so we can still talk to each other even if we are thinking in different ways. But you could tell there’s a different set of subsystems being used in the thinking process?…

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