[Koshkin]

But the real numbers cannot be faithfully represented in a computer!

[l33t2328]

So? Neither can the list of possible computer programs, yet CS studies them

[Koshkin]

It does not look like CS studies the real numbers.

[l33t2328]

Each real number can be represented as a subset of the natural numbers. CS surely studies these.

[Koshkin]

But not the representations themselves (which is what's important in this case).