It doesn't appear that the set of rel numbers exists. If it did, someone should be able to point to it and say, "this is the set". No one can do that because the available space to present the set appears finite, but producing the set would require an infinite amount of space (assuming you need some exclusive space to represent each number).
It is no surprise that the set remains elusive, it doesn't exist.
It is no surprise that the set remains elusive, it doesn't exist.