Yes, but the usage here of infinity is horribly done. As a general rule, mathematicians work with limits. Now, you *can* show that "some infinities are larger than others" with limits** - but you don't work with values of infinity alone.
**: Given: f(x) = x as x approaches infinity = infinity
Given: g(x) = x*x as x approaches infinity = infinity
Then
g(x) / f(x) = infinity as x approaches infinity.
You just got infinity over infinity equals infinity. Yet, if we had different limits for infinity (say, if both f(x) and g(x) were limits of x as x approaches infinity), it would be equal to one. Or, if f(x) and g(x) were reversed, it would be equal to zero. That's why using "infinity" as a number just doesn't work.
------------------
"Illuminant light,
illuminate me."