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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. Sebastien Zany‏ @SebastienZany Apr 9
      • Report Tweet
      Replying to @michael_nielsen

      The fact that it's possible to directly formalize the world of homotopy types without reducing everything to sets.

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

      Why is this interesting?

      1 reply 0 retweets 1 like
    4. Sebastien Zany‏ @SebastienZany Apr 9
      • Report Tweet
      Replying to @michael_nielsen

      If someone was interested in augmenting human intelligence with computers, say, maybe they would be interested in reducing the mismatch between human mathematical thoughts and their formal representation on computers.

      1 reply 0 retweets 2 likes
    5. michael_nielsen‏ @michael_nielsen Apr 9
      • Report Tweet
      Replying to @SebastienZany

      Plenty of work does this without category theory.

      2 replies 0 retweets 1 like
    6. Sebastien Zany‏ @SebastienZany Apr 9
      • Report Tweet
      Replying to @michael_nielsen

      Sure. Is that a reason to not be interested?

      1 reply 0 retweets 0 likes
    7. michael_nielsen‏ @michael_nielsen Apr 9
      • Report Tweet
      Replying to @SebastienZany

      I don't need a reason not to be interested - life is short. I need a reason to be interested.

      1 reply 1 retweet 7 likes
      michael_nielsen‏ @michael_nielsen Apr 9
      • Report Tweet
      Replying to @michael_nielsen @SebastienZany

      michael_nielsen Retweeted michael_nielsen

      Here are two examples of the kind of thing I have in mind:https://twitter.com/michael_nielsen/status/1115787203244773376 …

      michael_nielsen added,

      michael_nielsen @michael_nielsen
      An example, from general relativity: "If you're on a spaceship, and carry a really good clock down near to the event horizon of a black hole, and come back, you'll find that time has slowed down relative to people who didn't go on the trip". Dwell on that, & it's mindblowing.
      Show this thread
      6:30 PM - 9 Apr 2019
      1 reply 0 retweets 0 likes
        1. New conversation
        1. Sebastien Zany‏ @SebastienZany Apr 9
          • Report Tweet
          Replying to @michael_nielsen

          I empathize with needing a reason to care. I wasn’t sure why the existence of work that doesn’t use category theory is relevant. Voevodsky’s work made me go “wow”. It might not do it for you, but even if not, I do think you’re missing out if you’re not at least curious about it.

          1 reply 0 retweets 2 likes
        2. Sebastien Zany‏ @SebastienZany Apr 9
          • Report Tweet
          Replying to @SebastienZany @michael_nielsen

          Here are some starting points, in case helpful: • https://www.ias.edu/ideas/2013/awodey-coquand-univalent-foundations … • https://video.ias.edu/voevodsky14/  • https://ncatlab.org/homotopytypetheory/show/References#surveys …

          0 replies 1 retweet 2 likes
          3. End of conversation

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