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Meaningness's profile
David Chapman
David Chapman
David Chapman
@Meaningness

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David Chapman

@Meaningness

Better ways of thinking, feeling, and acting—around problems of meaning and meaninglessness; self and society; ethics, purpose, and value.

meaningness.com/about-my-sites
Joined September 2010

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    David Chapman‏ @Meaningness Feb 11
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    David Chapman Retweeted Vik

    The nature and function of mathematical proofs is still significantly mysterious.https://twitter.com/vikxclem/status/1227298727754444800 …

    David Chapman added,

    Vik @vikxclem
    Replying to @Meaningness
    Also wonder how this might change the way mathematicians conceive of proofs, cf. Hardy (in 1928): “proofs are what Littlewood and I call gas, rhetorical flourishes designed to affect psychology, pictures on the board in the lecture, devices to stimulate the imagination of pupils” pic.twitter.com/m7LoHC4lcy
    10:44 AM - 11 Feb 2020
    • 2 Retweets
    • 20 Likes
    • ꙮvchinnikov Dailan Somatic Historian Leon T Haddock #Article25 explicanda vape resort Alec Resnick AH🏔️
    5 replies 2 retweets 20 likes
      1. New conversation
      2. St. Rev  ☯️ 🏴 😻‏ @St_Rev Feb 11
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        Replying to @Meaningness

        A proof is a representation of a claim that is interesting but not trivial as a chain of claims that are trivial but not interesting. The four-color proof illustrates the difference between 'trivial' and 'easy'.

        1 reply 2 retweets 10 likes
      3. St. Rev  ☯️ 🏴 😻‏ @St_Rev Feb 11
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        Replying to @St_Rev @Meaningness

        (A claim that is trivial and interesting is a lemma, a claim that is not trivial and not interesting is ignored.)

        0 replies 0 retweets 1 like
      4. End of conversation
      1. Arbutus Tree‏ @aphercotropist Feb 11
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        Replying to @Meaningness

        I've been explicitly told that I shouldn't put the detailed rigorous proof in my paper, because it is too complicated and long and distracting and mostly book keeping, and I should put the short hand wavy one in instead, and the reader can figure out the rigorous one if they want

        0 replies 0 retweets 1 like
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      1. Haddock #Article25‏ @meme_machines Feb 11
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        Replying to @Meaningness

        Liked this a lot! Coming from the logic end I reciprocate; once I have a base assumption, like that there's only true or false, or some such, I can build contraptions of exquisite complication. But not without! Russell meets Godel, and it all falls down.

        0 replies 0 retweets 0 likes
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      1. Ari Katz‏ @AriKatz20 Feb 11
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        Replying to @Meaningness

        This is absolutely fascinating. The weaknesses of other rational systems are reasonably disseminated, but pure math still maintains an air of popular immaculate infallibility...Except when punctured by folk conceptions of Godel's work

        0 replies 0 retweets 0 likes
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      1. New conversation
      2. Patrick‏ @methegamedev Feb 11
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        Replying to @Meaningness

        I always thought proofs were just ways of showing that some system is self consistent. This lets you build even more complex self consistent systems on top. Self consistent systems allow you to enter a frame of reasoning that prevents you from contradicting yourself.

        1 reply 0 retweets 0 likes
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