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.
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.