Talk:Bijection
This is an old revision of this page, as edited by Ed Poor (talk | contribs) at 13:06, December 12, 2008. It may differ significantly from current revision.
It doesn't make sense to say that two infinite sets are "the same size", any more than it would to say that one is twice as big as the other. The thing about infinity is that you can't "change its size" by performing any of the four basic arithmetic operations on it.
There is no "largest number", because no matter what number I name you can add 100 to it or multiply it by 50. You also cannot diminish infinity by subtracting from it or dividing it. The rules for finite numbers do not apply to it. --Ed Poor Talk 08:06, 12 December 2008 (EST)