from infinity and quality to too and 2?

Was checking stuff with paradoxes and landed on banach-tarski and the choice paradoxes.

These have to do with infinitude in general and particularly infinities within intervals.

Between 0 and 2 there are infinite number of real numbers. We can have a 0.00000000000000000000000000000000000000000000000000000000001, 0.000000000000000000000000000000000000000000000000000000000001 and so on.
In fact we can have a 0.00~ no?
This is kind of counter intuitive to infinity because in this case we know the end/finite of the stories/narratives – its either 0 or 2. However, between 0 and 2 there are infinite realities of real numbers?

( kind of being reminded here of Gaudi’s Barcelona Cathedral and the idea of Many ways to get into god, manifested in the ways to go up..)

Going back to numbers.. Well.
From the interval infinity view, I think that it might be the “problem” with infinity is that we are talking about a quality rather than a quantity. The quality to be infinite, or to have the quality of an endless time between 0 and 2.
Infinity as the quality of Being countable without being counted?

From a transmission view, infinity then might be the link, the transmission between, the interval cross from quality and quantity and all the way back without ever getting back? 😉