If you mean representations using finite sequences, sure. But the set of all infinite sequences (e.g., of digits) is uncountable.

That's the point. There is uncountably many infinite sequences, but we only have countably many symbolic representations, so we can't write most real numbers down even with infinite time.

Representing a number as an infinite sequence of digits isn't helpful if you are trying to write down the number. You can't write an infinite number of digits after all

But then your point is the identical to the parent’s.