>>14422552It might be that we talk by each other.
You can enumerate all string
a
b
c
...
z
aa
ab
ac
...
ba
bb
...
etc.
Among all those strings, you find the scription of reals. E.g
the string
\sum_{n=0}^{\infty} \frac{(-1)^n}{2n+1}
(if I use formatter, that's and that's a description of pi, which also has an infinite decimal expansion)
All concepts that can be defined, as well as all numbers, are within this enumeration.
You can informally call the collection of real numbers which can be descibed at all, in some way, C.
Now the set R\C or undescribable real number is provable non-empty, but none of its members can even be described. Those are the real numbers which by definition nobody can have a means to even express what they are - we can't really talk about any member of this set in any coherent sense.
But standard math will prove there's uncountably many of them.
So by extension, the bulk of real numbers (namely those in R\C) are not computable in any way either
