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Re:0.999...= 1 by petters on Tuesday April 28, 2020 @01:15PM (#23009224)
Personally, I think it makes perfect sense.

Take two sets A and B. If we can assign every element in A to a different one in B, we say that |A|≤|B|.

Makes perfect sense for normal, finite sets, right? As it happens, this definition extends to infinite sets as well.

Re:0.999...= 1 by erodommoc on Tuesday April 28, 2020 @03:30PM (#23010845)
Right, but many things make sense for finite sets that don't make sense for infinite sets. Just because you can extend that definition doesn't mean that it's "true" for infinite sets.