Infinity ∞ - is one of the most amazing thing I've seen in my life.

∞
∞ + ∞ = ∞
∞ - ∞ = ∞

but infinity ∞ is "not defined" in mathematical terms. The "computer-way of thinking" would not understand ∞ at all.
It is very hard to describe it in words or in mathematical terms or in binary language. We need to think differently - "out of box" kind of thinking is required than our usual way of thinking to understand it. It still exists and is amazing.

More info on wikipedia.