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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 12 Jul 2016
      • Report Tweet

      michael_nielsen Retweeted Analysis Fact

      Imre Lakatos's "Proofs and Refutations" is a wonderful book-length discussion of this and related points.https://twitter.com/AnalysisFact/status/752888067455852544 …

      michael_nielsen added,

      Analysis Fact @AnalysisFact
      'Mathematics is an experimental science, and definitions do not come first, but later on.' -- Oliver Heaviside
      4 replies 7 retweets 30 likes
    2. ShriramKrishnamurthi‏ @ShriramKMurthi 13 Jul 2016
      • Report Tweet
      Replying to @michael_nielsen

      Worst thing about teaching mathystuff (I'm including eg semantics) is showing defs up front rather than _designing_ them.

      2 replies 0 retweets 3 likes
    3. michael_nielsen‏ @michael_nielsen 13 Jul 2016
      • Report Tweet
      Replying to @ShriramKMurthi

      It's often possible to teach in such a way as to discover them. Slower, but deeper.

      1 reply 1 retweet 2 likes
    4. ShriramKrishnamurthi‏ @ShriramKMurthi 13 Jul 2016
      • Report Tweet
      Replying to @michael_nielsen

      Precisely. My pref. Trades quantity of material for depth of understanding. Defs are fascinating; books make them boring.

      1 reply 0 retweets 3 likes
    5. michael_nielsen‏ @michael_nielsen 13 Jul 2016
      • Report Tweet
      Replying to @ShriramKMurthi

      It's such a strange deficiency in standard mathematical style that so little space is allocated to how defns are discovered

      1 reply 0 retweets 2 likes
    6. ShriramKrishnamurthi‏ @ShriramKMurthi 13 Jul 2016
      • Report Tweet
      Replying to @michael_nielsen

      Also *alternate* defs. Sometimes given one not canonical; imp to know. Sometimes is; even more imp! Ergo I wrote "design".

      2 replies 0 retweets 2 likes
      michael_nielsen‏ @michael_nielsen 13 Jul 2016
      • Report Tweet
      Replying to @ShriramKMurthi

      alternate choices that can be made, or equivalent defs.

      6:51 AM - 13 Jul 2016
      1 reply 0 retweets 0 likes
        1. Suresh Venkatasubramanian‏ @geomblog 13 Jul 2016
          • Report Tweet
          Replying to @michael_nielsen @ShriramKMurthi

          this is organizing principle of my clustering book: defns follow from needs.

          0 replies 0 retweets 2 likes
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