Meridae'n is displaying some of the most common misconceptions surrounding the phenomenon that is "infinity".
Here is a great article about what it is, but more importantly, what it
isn't.
http://www.kuro5hin.org/story/2003/6/3/95744/71866
Infinity most certainly exists.
This question is like asking "Do dreams exist?" Or "Does love exist?"
All have the same answer.