I can't calm my heart rate or breathe or keep a thought in my head for two seconds. Let's talk about whatever.
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That's very fair lol. The short version is infinities can be lots of different sizes, but most numbers problems humans think about actually revolve around infinities of the same size, because math is weird
Thanks. Twitter will use this to make your timeline better. UndoUndo
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They say that the best mathematical proofs are elegant. So in a way it's kind of like poetry
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Um, I'm not gonna explain it over twitter. Google proof by induction
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Imagine an infinite list of sets of natural numbers, like so: 1.{1,2,3} 2.{17} 3.{10,20,30...} 4.{2,3,5,7,11...} ... Then no matter what, it’s a simple task to construct a set that isn’t anywhere on the list. Thus, there are more sets of nat.nums than there are nat.nums.
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Hey man he probably doesn't have a super firm grasp on what a set is and asked for this a while ago. So this is kinda both not super helpful and really untimely. Also the whole point was to not turn this into a math lecture. If he wants to know more he could have looked if up
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