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michael_nielsen's profile
michael_nielsen
michael_nielsen
michael_nielsen
@michael_nielsen

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michael_nielsen

@michael_nielsen

Searching for the numinous. Co-purveyor of https://quantum.country/ 

San Francisco, CA
michaelnielsen.org
Joined July 2008

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    1. michael_nielsen‏ @michael_nielsen Apr 9
      • Report Tweet

      Most scientific & mathematical disciplines I know of have results that educated outsiders can appreciate and go "wow" after a brief acquaintance, even without understanding the details. Does anyone know of such a result for category theory?

      56 replies 25 retweets 278 likes
      Show this thread
    2. Carlos Scheidegger‏ @scheidegger Apr 9
      • Report Tweet
      Replying to @michael_nielsen

      The Yoneda lemma is the obvious answer I think

      1 reply 0 retweets 16 likes
    3. michael_nielsen‏ @michael_nielsen Apr 9
      • Report Tweet
      Replying to @scheidegger

      What's the brief explanation of why I should care?

      2 replies 0 retweets 1 like
    4. Carlos Scheidegger‏ @scheidegger Apr 9
      • Report Tweet
      Replying to @michael_nielsen

      It’s a precise way to say “anything is perfectly determined by its relationship to everything else”

      3 replies 1 retweet 14 likes
    5. michael_nielsen‏ @michael_nielsen Apr 9
      • Report Tweet
      Replying to @scheidegger

      Can you say why that's interesting?

      1 reply 0 retweets 3 likes
    6. Scott Oswald‏ @leavesandlemmas Apr 9
      • Report Tweet
      Replying to @michael_nielsen @scheidegger

      You know a mathematical object by the company it keeps. The yoneda lemma essentially means an object is what it does: See here for better explanation:https://www.math3ma.com/blog/the-yoneda-perspective …

      2 replies 3 retweets 36 likes
      michael_nielsen‏ @michael_nielsen Apr 9
      • Report Tweet
      Replying to @leavesandlemmas @scheidegger

      That and the followup post (with more details) look very interesting!

      7:30 PM - 9 Apr 2019
      • 2 Likes
      • Bruno Gavranović Ben Golub
      2 replies 0 retweets 2 likes
        1. Carlos Scheidegger‏ @scheidegger Apr 9
          • Report Tweet
          Replying to @michael_nielsen @leavesandlemmas

          (Cc @math3ma)

          0 replies 0 retweets 6 likes
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        1. Scott Oswald‏ @leavesandlemmas Apr 9
          • Report Tweet
          Replying to @michael_nielsen @scheidegger

          I also recommend Tai Danae's booklet on Applied category theory, a bit longer than a 2 minute explanation, but it gives an intro into category theory modeling things that can be stuck together like language, electric circuits, and chemical reactions.https://www.math3ma.com/blog/notes-on-act …

          0 replies 0 retweets 1 like
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