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arthur_affect's profile
Arthur Chu
Arthur Chu
Arthur Chu
Verified account
@arthur_affect

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Arthur ChuVerified account

@arthur_affect

Mad genius, comedian, actor, and freelance voiceover artist broadcasting from the distant shores of Lake Erie (he/him)

Broadview Heights, Ohio
arthur-chu.com
Joined August 2009

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    1. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020

      So like, let's be clear This classic series: 1+1/2+1/4+1/8+1/16... Is, from a pure old-school POV, just as bad as the other one Even though this one looks like it has an answer (it adds up to 2 in the end)

      5 replies 0 retweets 21 likes
      Show this thread
    2. Josh‏ @awildbread 7 Aug 2020
      Replying to @arthur_affect

      As a math grad student I think I get your point but I wouldn’t really put it that way. To the extent that an infinite sum has any precise meaning, it’s as a limit of partial sums, and by that definition makes perfect sense to say it equals 2

      1 reply 0 retweets 2 likes
    3. Josh‏ @awildbread 7 Aug 2020
      Replying to @awildbread @arthur_affect

      If you want to say that you can’t really add up an infinite number of things then sure. But when I see that infinite sum, what it means to me IS a limit, the precise thing that is equal to 2, not some more abstract idea of adding to infinity that can’t be described with math

      1 reply 0 retweets 2 likes
    4. Josh‏ @awildbread 7 Aug 2020
      Replying to @awildbread @arthur_affect

      There’s more of the thread now so I get your point more but I still don’t really agree with the framing of whether infinite series really ‘exist’. Why does the number 2 exist any more than the infinite series on the other side?

      1 reply 0 retweets 2 likes
    5. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @awildbread

      *inhales* Have you ever even... like... SEEN a number, man

      1 reply 0 retweets 4 likes
    6. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @awildbread

      (As a humanities guy and not really a math guy, I will say that what I'm talking about here is Spengler's Decline of the West and his whole weird argument about whether or not classical civilization had a concept of "the Infinite")

      1 reply 1 retweet 4 likes
    7. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @awildbread

      (And placed very great importance on the idea that to the Greeks the idea of number itself was defined by ratio -- so much so that "irrational numbers" were a Lovecraftian horror)

      1 reply 1 retweet 3 likes
    8. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @awildbread

      (While Christian Europe was obsessed with infinite space filled with infinite points -- the angels dancing on the head of a pin -- and could easily picture the reals along a "number line", their religion and their culture primed them for the concept of analysis)

      1 reply 1 retweet 4 likes
    9. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @awildbread

      So like -- here's this very stodgy early 20th-c German guy, a very old-fashioned historian, who nonetheless gets at the heart of all this PoMo woke SJW shit about math being culturally bound and contingent Everyone should read the book just for that

      1 reply 1 retweet 3 likes
    10. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @awildbread

      I mean as an old school essentialist who believed in "national spirits" and that sort of thing he was an antisemite in practice ("Jews don't do real analysis, they do symbolic logic") so, you know, grain of salt, although he did despise Hitler and the Nazis

      1 reply 1 retweet 3 likes
      Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @awildbread

      It does put me in mind of Rudy Rucker's wacky stuff about, say, meeting an alien species for whom real analysis is as obvious and intuitive as 2+2=4 is for us, and who only recently invented the integers as a special case and consider arithmetic an advanced field of academia

      4:50 AM - 7 Aug 2020
      • 1 Retweet
      • 9 Likes
      • Haydn Jayna dr thette, wearing a mask (they/them) Lithium & Alchohol Hoydenne Fuzzy Dunlop Tad Baby Boy Monaghan Orman
      2 replies 1 retweet 9 likes
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        2. Orman‏ @LizardOrman 7 Aug 2020
          Replying to @arthur_affect @awildbread

          I think the plausibility of that falls down a little when you consider that the properties that distinguish the reals proper from, say, the analytic numbers, is _deeply weird_

          1 reply 0 retweets 1 like
        3. Jayna‏ @Tuplet 7 Aug 2020
          Replying to @LizardOrman @arthur_affect @awildbread

          Like the fact that almost all of the real numbers can't even be described?

          1 reply 0 retweets 0 likes
        4. Show replies
        1. Jayna‏ @Tuplet 7 Aug 2020
          Replying to @arthur_affect @awildbread

          The thing is that it feels to me like the integer are much more interesting than the reals. The reals are too smooth and have no structure while the integers are full of things like prime numbers which defy analysis by both having and not having structure at the same time.

          0 replies 0 retweets 0 likes
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