(December 13, 2015 at 1:18 pm)IATIA Wrote: If you take 0 books out of the pile, you will eventually have an infinite number of piles of no books.
If 0.999... =1 (which I adamantly disagree with)
Then 10/infinity=0 (by the same 'rule' that allows 0.999... to equal 1)
Therefore 10/0=infinity.
But if you multiply both sides by 0, then 10 = 0. (another reason that 0.999... doe not equal 1)
If you take 0 books out of the pile, you will eventually have 1 pile of 10 books, and an infinite pile of 0 books (or you can say you start with that too). Either way, there's still a pile of 10 books.
You can't just ignore that!