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MathPrinceps's profile
Laurens Gunnarsen
Laurens Gunnarsen
Laurens Gunnarsen
@MathPrinceps

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Laurens Gunnarsen

@MathPrinceps

Mathematical physicist and mentor to mathematically talented youth. Talent is that which bridges the gap between what can be taught and what must be learned.

Joined June 2012

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    1. David R. MacIver‏ @DRMacIver 31 Oct 2019
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      Replying to @MathPrinceps @Meaningness

      My suspicion is that it is more commonly just vanilla curse of knowledge and people not consciously knowing things that they have very heavily internalised.

      2 replies 1 retweet 21 likes
    2. David R. MacIver‏ @DRMacIver 31 Oct 2019
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      Replying to @DRMacIver @MathPrinceps @Meaningness

      I very rarely find that people are able to articulate most of the heuristics and intuitions they use constantly unless you walk them through it - it requires much more metacognition than most people routinely deploy.

      3 replies 2 retweets 25 likes
    3. Laurens Gunnarsen‏ @MathPrinceps 31 Oct 2019
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      Replying to @DRMacIver @Meaningness

      It requires more motivation than most people usually feel -- and more time and effort that most people are prepared to devote to it. Which is especially odd, when you reflect that, with this particular form of wealth as with all others, you can't take it with you.

      1 reply 0 retweets 6 likes
    4. David Chapman‏ @Meaningness 31 Oct 2019
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      Replying to @MathPrinceps @DRMacIver

      OK, here’s the plan. We deploy elite special forces units to capture all the Fields Medalists and take them in black helicopters to a purpose-built underground fortress on Svalbard, and use secret CIA psy-op interrogation techniques to force them to reveal what they know

      3 replies 1 retweet 14 likes
    5. Laurens Gunnarsen‏ @MathPrinceps 31 Oct 2019
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      Replying to @Meaningness @DRMacIver

      Honestly, what impresses me most is how profoundly the attitudes of great masters vary from art to art. Itzhak Perlman, Emanuel Ax, Midori -- all have put a great deal of effort into transmitting their tacit knowledge. The number of great mathematicians who do likewise?

      1 reply 0 retweets 3 likes
    6. David Chapman‏ @Meaningness 31 Oct 2019
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      Replying to @MathPrinceps @DRMacIver

      Zero, I think. Rota and Thurston are partial exceptions. Any others?

      1 reply 0 retweets 1 like
    7. David Chapman‏ @Meaningness 31 Oct 2019
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      Replying to @Meaningness @MathPrinceps @DRMacIver

      Oh, and Terry Tao.

      2 replies 0 retweets 1 like
    8. Laurens Gunnarsen‏ @MathPrinceps 31 Oct 2019
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      Replying to @Meaningness @DRMacIver

      The thing is, they become more common, the further back in time you go. This is what worries me most: the practice of apprenticeship itself seems to be decaying. Once there were giants: Lefschetz, Zariski, Chern, Bott. Fewer and fewer great mentors now.

      1 reply 0 retweets 2 likes
    9. QC‏ @QiaochuYuan 31 Oct 2019
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      Replying to @MathPrinceps @Meaningness @DRMacIver

      yes, this is my sense too! something very strange seems to have happened to mathematics sometime in the last ~50 years and i wish i knew what

      1 reply 0 retweets 2 likes
    10. Laurens Gunnarsen‏ @MathPrinceps 31 Oct 2019
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      Replying to @QiaochuYuan @Meaningness @DRMacIver

      It's a gradual process of decay, I think, that was for a time largely masked by the unusual longevity of those great masters directly connected by intimate personal ties to the last generation of mathematicians whose education took place largely outside of modern institutions.

      1 reply 0 retweets 0 likes
      Laurens Gunnarsen‏ @MathPrinceps 31 Oct 2019
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      Replying to @MathPrinceps @QiaochuYuan and

      Another point worth emphasizing, though, is that there are two parties to an apprenticeship, and each must understand the purpose of the practice, and how each contributes to its success. It's not just great mentors, but also keen apprentices, who've grown gradually scarcer.

      10:21 AM - 31 Oct 2019
      1 reply 0 retweets 0 likes
        1. New conversation
        2. Laurens Gunnarsen‏ @MathPrinceps 31 Oct 2019
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          Replying to @MathPrinceps @QiaochuYuan and

          This is no great surprise, of course, and no one is to blame; as cultural practices come to seem obsolete and irrelevant, people forget how to engage in them. A few decades ago, every physics student knew how (and why) to use a slide rule. Now, most can't even recognize one.

          1 reply 0 retweets 0 likes
        3. Laurens Gunnarsen‏ @MathPrinceps 31 Oct 2019
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          Replying to @MathPrinceps @QiaochuYuan and

          Similarly, there was a time not so very far removed from ours in which many young people took dancing lessons, and learned to waltz (and even to tango, and to cha-cha-cha.) Mathematics students today want to be apprentices about as much as they want to learn to waltz.

          0 replies 0 retweets 0 likes
        4. End of conversation

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