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This is a really fun problem! Intuitively, the numbers all have latent features (isEven, isPrime, etc), so they live in a richly structured space. So far so good, but the (typical) structure of that space for people is an empirical question, you can't just introspect or ask a mathematician. There's actually quite a bit of work on this, because the numbers ...


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The field you're talking about is probably computational neuroscience. In general, the advice I would give is that the department you are in doesn't much matter. There are people who study neuroscience that are in engineering, comp. sci, psychology, whatever. I know University of Chicago has an entire program in Computational Neuroscience. Probably the best ...


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