Real numbers do not make intuitive sense. The continuum makes some sense. A countably subset of the reals makes sense. The rest of the reals (almost all of them

Real numbers do not make intuitive sense. The continuum makes some sense. A countably subset of the reals makes sense. The rest of the reals (almost all of them) are beyond comprehension, except in vague description like "an infinite string of digits" and for proofing paradoxes like Banach-Tarski.