How big is the size of all infinities? "Not only infinite - it's "so big" that there is no infinite set so large as the collection of all types of infinity..."
What does exactly mean? How many infinities are there? I've heard there are more than infinite infinities? What does that mean? Is that true? Will anyone ever be able to know how many infinities there are? Does God know how many there are? Are there so many that God doesn't even know?

In the world of natural numbers it is known that 
$2 ^ a \neq 3 ^ b$ for any pair of positive integers a and b.
This is true for any pair of primes.
So if we believe there is only one infinitely large natural number ($\infty$) 
From the above statement: $2 ^ \infty \neq 3 ^ \infty$
Let $2 ^ \infty $ be $\infty_{2}$
Let $3 ^ \infty $ be $\infty_{3}$
Then $\infty_{2}$ and $\infty_{3}$ are two distinct infinitely large natural numbers.
Since there is an infinite number of primes we could have chosen in place of 2 and 3, the implication is that there is an infinite number of infinitely large natural numbers.
