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 Originally Posted by rong
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.
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