[yellowflash]

It never says, its all of them (Sort of LEM is working in all of them). It just says, thats all you can work with.

[aeneasmackenzie]

It's all of them. You can't give an example of a real number that's not computable.

[Dylan16807]

Chaitin's omega number? I can give you an exact but incomplete equation for it, and tell you how it starts. Not every non-computable number is "pretend you could choose a random normal number, somehow".

I'm not sure if this answer is relevant, but might as well mention it.