What Is It Like to Have an Understanding of Very Advanced Mathematics?

What Is It Like to Have an Understanding of Very Advanced Mathematics?

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One Response to “What Is It Like to Have an Understanding of Very Advanced Mathematics?”
  1. Lughead says:

    I’m not all that great at advanced mathematics, but I think some of these apply to any higher understanding of math and/or science. These points hit pretty close to home:
    * You are comfortable with feeling like you have no deep understanding of the problem you are studying.
    * When trying to understand a new thing, you automatically focus on very simple examples that are easy to think about, and then you leverage intuition about the examples into more impressive insights.
    * You are easily annoyed by imprecision in talking about the quantitative or logical.
    * On the other hand, you are very comfortable with intentional imprecision or “hand-waving” in areas you know, because you know how to fill in the details.

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