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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

      You cannot do anything an infinite number of times The answer to "1+2+3+4+5+... = x" is that x can't be anything because you will never actually finish adding up numbers and you will never get an answer "Infinite" is another way of saying "nonexistent"

      4 replies 1 retweet 34 likes
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    2. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020

      You can't say x="infinity" or ∞ because in ordinary arithmetic that's not a number, it's a meaningless word

      2 replies 0 retweets 20 likes
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    3. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020

      The *rules of arithmetic* say this -- numbers are *defined* by the fact that if you add 1 or subtract 1 from a number, you get a different number, if "∞" breaks this rule, it's not a number at all and you can't use it

      4 replies 0 retweets 23 likes
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    4. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020

      So people's intuitions about this are correct but they don't take it far enough Caught between the dueling intuitions between "Well the answer to this question can't be any ordinary number" and "It must HAVE an answer though"

      1 reply 1 retweet 19 likes
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    5. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020

      All new forms of math are built on that second part "Okay, I get that this is a stupid-ass question and Pythagoras or whoever would've just said 'shut the fuck up' if I asked him but WHAT IF you COULD add up numbers an infinite number of times"

      1 reply 0 retweets 23 likes
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    6. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020

      All summations of infinite series are based on making up new rules and saying "Okay let's pretend you can do this, what happens if you do, what new stuff do you discover if we just fuck around and act like this makes sense"

      1 reply 0 retweets 19 likes
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    7. 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
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    8. Gingersnap  💛 🐝‏ @TheCheekyGinger 7 Aug 2020
      Replying to @arthur_affect

      Gah! I hate this math. How do you ever get to 2? Because there's no fraction so small that half of it is zero. Are we saying there's some denominator so large that if it were x then 1/x = 0? Because that's the only way I can see this = 2. I am not suited to math like this. 😠

      1 reply 0 retweets 0 likes
    9. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @TheCheekyGinger

      Well, for many years we were trying to avoid saying that, and just define the idea of a "limit" without saying actual "infinite" and "infinitesimal" numbers exist But now there's non-standard analysis which says that those are okay

      1 reply 0 retweets 1 like
    10. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @TheCheekyGinger

      But yeah ignoring that noise, the idea of the delta-epsilon definition of a limit is you don't ever need to "finish" the series (you can't, it takes infinitely long)

      1 reply 0 retweets 1 like
      Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
      Replying to @arthur_affect @TheCheekyGinger

      You just need to ask the question "Every time I go one step further, is there a specific number I am getting closer to" And in this case yes, you can see that it's 2, so the answer to the question is 2

      7:17 AM - 7 Aug 2020
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      2 replies 0 retweets 1 like
        1. Arthur Chu‏Verified account @arthur_affect 7 Aug 2020
          Replying to @arthur_affect @TheCheekyGinger

          But yes, as I said in the main thread, this idea when first brought up was very controversial

          0 replies 0 retweets 1 like
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        2. Gingersnap  💛 🐝‏ @TheCheekyGinger 7 Aug 2020
          Replying to @arthur_affect

          I see that. But it feels wrong to say since it won't ever go over 2 it must *be* 2. Math isn't supposed to be horseshoes and hand grenades! This seems like saying "well ... close enough." Might as well give it a tolerance and call it machining.😩

          3 replies 0 retweets 0 likes
        3. Gingersnap  💛 🐝‏ @TheCheekyGinger 7 Aug 2020
          Replying to @TheCheekyGinger @arthur_affect

          I did not anticipate being irritated by math today. It's probably best that I never got into advanced maths in school. 😂😂😂

          0 replies 0 retweets 0 likes
        4. End of conversation

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