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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. Steven Isserlis‏ @StevenIsserlis 6 Aug 2018
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      Replying to @MathPrinceps @mn_orchestra

      !!

      2 replies 0 retweets 1 like
    2. Laurens Gunnarsen‏ @MathPrinceps 6 Aug 2018
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      Replying to @StevenIsserlis @mn_orchestra

      I find it striking that Paul Dirac was an expositional Platonist; he believed that each concept has an ideal pedagogical form, which maximizes its intelligibility. When he'd come as close to this form as he could, he'd repeat the resulting explanation verbatim, over and over.

      1 reply 0 retweets 0 likes
    3. Steven Isserlis‏ @StevenIsserlis 6 Aug 2018
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      Replying to @MathPrinceps @mn_orchestra

      A little different??

      1 reply 0 retweets 1 like
    4. Laurens Gunnarsen‏ @MathPrinceps 6 Aug 2018
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      Replying to @StevenIsserlis @mn_orchestra

      Yes, it is a little different, but still very similar. Both Dirac and Rachmaninov believed that there is a unique ideal way to communicate the meaning of a work of art. When one has gotten as close to that ideal as one can, any change in one's approach can only be for the worse.

      1 reply 0 retweets 0 likes
    5. Steven Isserlis‏ @StevenIsserlis 6 Aug 2018
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      Replying to @MathPrinceps @mn_orchestra

      Doesn't apply to music, I feel. A great musician goes deeper and deeper into a work. Same with composers: early/middle Beethoven is perfect, glorious - and then he goes into other worlds.

      1 reply 0 retweets 4 likes
    6. Laurens Gunnarsen‏ @MathPrinceps 7 Aug 2018
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      Replying to @StevenIsserlis @mn_orchestra

      I doubt that Rachmaninov would dispute any of this. He would simply maintain that in going deeper and deeper into a work, one is getting closer and closer to its abstract objective essence, whose perfect articulation in performance is the function of the ideal interpreter.

      1 reply 0 retweets 1 like
    7. Laurens Gunnarsen‏ @MathPrinceps 7 Aug 2018
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      Replying to @MathPrinceps @StevenIsserlis @mn_orchestra

      Since we're constrained to the real world, we can only approach this ideal objective essence, not attain it. But its existence implies that our successive approximations must eventually differ from each other less and less. In the long run, only the tiny details are up for grabs.

      3 replies 0 retweets 1 like
    8. James Dixon‏ @jamesmeredithd1 8 Aug 2018
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      Replying to @MathPrinceps @StevenIsserlis @mn_orchestra

      Interesting discussion, but with great works I don't believe that we can ever get sufficiently close that only tiny details are left. Even after Newton had solved many of the mysteries of the universe, he said he still felt like a child playing on the seashore.

      1 reply 0 retweets 1 like
    9. Laurens Gunnarsen‏ @MathPrinceps 8 Aug 2018
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      Replying to @jamesmeredithd1 @StevenIsserlis @mn_orchestra

      A crucial point, though, is that we are not alone in our struggle to solve the problems that confront us. We humans learn from each other, and tend to preserve, study, and build on the breakthroughs of our predecessors. Wisdom accumulates. We have come a long way since Newton.

      1 reply 0 retweets 0 likes
    10. James Dixon‏ @jamesmeredithd1 9 Aug 2018
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      Replying to @MathPrinceps @StevenIsserlis @mn_orchestra

      It has been fascinating communicating with you, but when one contemplates the vast spaces of Sibelius's Fourth Symphony or the Milky Way, I'm not sure we've come that far at all.

      1 reply 0 retweets 0 likes
      Laurens Gunnarsen‏ @MathPrinceps 9 Aug 2018
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      Replying to @jamesmeredithd1 @StevenIsserlis @mn_orchestra

      Speaking as a mathematical physicist, I can tell you that we have come a very long way indeed. We now know how and why the stars shine. We know how many there are, what they're made of, how they formed, how they develop, and how and when they will die. Far beyond Newton.

      9:20 AM - 9 Aug 2018
      1 reply 0 retweets 0 likes
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        2. Steven Isserlis‏ @StevenIsserlis 9 Aug 2018
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          Replying to @MathPrinceps @jamesmeredithd1 @mn_orchestra

          But has music gone beyond Bach, Mozart and Beethoven? Even musical instruments beyond Stradivarius?

          1 reply 0 retweets 2 likes
        3. Laurens Gunnarsen‏ @MathPrinceps 9 Aug 2018
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          Replying to @StevenIsserlis @jamesmeredithd1 @mn_orchestra

          From a Platonic perspective, the question is not whether music itself has advanced, but whether our understanding of it has. Do we make progress in our understanding of musical works, as we have made progress in our understanding of the Milky Way? Have we learned from our past?

          1 reply 0 retweets 0 likes
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