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this doesn't make sense to me, smart people? (infinity)

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  1. #1
    Quote Originally Posted by rong View Post
    Actually, thinking further about the cardinality issue, you're right. I can't map one into the other, but this doesn't prove one is larger than the other. It proves that set theory (or w/e) can't deal with sets with infinite cardinality.
    The thing is though, it can. You can show the relationship in size between the two iirc.

    A way of looking at it is that imagine if I gave person A one apple and person B two apples.

    A = 1, B = 2

    I repeat this.

    A = 2, B = 4

    I repeat this an infinite amount of times.

    Both of them will have an infinite amount of apples, but person B will always have more apples than person A even though they both have an infinite amount.
  2. #2
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    Quote Originally Posted by ImSavy View Post
    The thing is though, it can. You can show the relationship in size between the two iirc.

    A way of looking at it is that imagine if I gave person A one apple and person B two apples.

    A = 1, B = 2

    I repeat this.

    A = 2, B = 4

    I repeat this an infinite amount of times.

    Both of them will have an infinite amount of apples, but person B will always have more apples than person A even though they both have an infinite amount.
    No! For any finite figure this is true, but not for
    Infinity. It never ends! If you stop at any point to count then what you say is true at that point for that finite amount but if each are infinite then neither is bigger.
    I'm the king of bongo, baby I'm the king of bongo bong.

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