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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
      Replying to @arthur_affect @beetlefella101 @KHMakerD

      He was kind of caught between worlds here, because the other mathematicians -- most of whom weren't particularly devout -- often thought of his work as a weird waste of time, while the Church didn't understand what he was talking about and thought it sounded like witchcraft

      1 reply 1 retweet 11 likes
    2. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @beetlefella101 @KHMakerD

      Anyway, Cantor's idea of infinity (the "transfinite numbers") aren't really the same thing as what people mean when they put ∞ as the "sum" for a divergent series like 1+2+3+4+...

      3 replies 1 retweet 8 likes
    3. (((Barak)))‏ @lawnerdbarak 7 Aug 2020
      Replying to @arthur_affect @beetlefella101 @KHMakerD

      A lot of people lose the thread on what ∞ is, or what a limit is. It’s a convention, a set of instructions. You can get as large/small/close as you need to for whatever practical task you’re using the numbers for. But ∞ doesn’t actually exist as a number.

      2 replies 1 retweet 11 likes
    4. (((Barak)))‏ @lawnerdbarak 7 Aug 2020
      Replying to @lawnerdbarak @arthur_affect and

      And that’s why the axiom of choice shit gets so weird. ∞ isn’t real, so higher order infinities are suuuuuuper weird.

      2 replies 1 retweet 7 likes
    5. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @lawnerdbarak @beetlefella101 @KHMakerD

      As I understand it, hyperreal numbers, invented in the 1960s, are an attempt to do what Cantor didn't and actually treat the ∞ (infinite and infinitesimal) in calculus as a number you can do math with ("As I understand it" meaning I understand almost nothing about it)

      1 reply 1 retweet 8 likes
    6. Dieu‏ @hllizi 7 Aug 2020
      Replying to @arthur_affect @lawnerdbarak and

      I don't know much about non-standard analysis either, but if I'm not completely mistaken here you'll have an infinity of infinite numbers in that system because, as you pointed out, e.g. 1 + x != x no matter what.

      2 replies 1 retweet 4 likes
    7. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @hllizi @lawnerdbarak and

      Right, like the reason for the term "hyperreal" is they're "adjacent" to the real numbers, constructed directly from doing math with them, and instead of just going "ERROR" when you get an infinite term continuing on with the infinite term attached to real terms

      2 replies 1 retweet 8 likes
    8. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @hllizi and

      So there's no actual, distinct number ∞ you can use by itself, just in the course of doing an integration you might get an x + n term where x is real and n is an unbounded, non-standard term But you can't ever compare that n to any other n you get doing something else

      4 replies 1 retweet 5 likes
    9. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @hllizi and

      Hence you just roll with paradoxical ideas like n +1 is higher than n, as is 2n or n^2, even though n supposedly is ∞

      3 replies 1 retweet 2 likes
    10. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @hllizi and

      It comes from the idea of treating the infinitesimal as actually a thing, like there really is such a thing as "infinitesimally more than 4" (4+ε) and therefore you can take the reciprocal of "infinitesimally more than 4" and get "1/4+infinity"

      2 replies 1 retweet 0 likes
      Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @hllizi and

      Lol did I just say the reciprocal of 4+x is 1/4+1/x I sure can math good

      6:36 AM - 7 Aug 2020
      • 1 Retweet
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      • Lauren Pleska 🏳️‍🌈 Jim Frisby Charles Bowman Dr. Samantha Hancox-Li Baal Ska Tov Arthur Chu
      0 replies 1 retweet 5 likes

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