> When talking about numbers you need a way to write down a specific number (Needs a finite representation) There are plenty of rational numbers that cannot be

> When talking about numbers you need a way to write down a specific number (Needs a finite representation) There are plenty of rational numbers that cannot be written down. Indeed, an infinite number of them. All the numbers larger than say... a googleplex, or the numbers approaching Grahams' number (or larger than that number) are unwritable. We don't even need to stray from the integer numbers if we want to get to unwritable numbers. Plenty of numbers too large to be ever written down even if we use every single atom in our universe (or any such combination of atomic-states with all the atoms in our universe). "X cannot be written" seems to be a rather arbitrary limit.