Film your TV display on which you show the picture from the camera... Infinity does not exist?
Not in that example. In a finite period of time light can only have traveled a finite distance. You can only 'see' a distance corresponding to the length of time the camera has been pointed at the TV display. It's not infinite (and, obviously, finite resolution stops it in its tracks pretty quickly).
Aleph numbers are much more brain-twisting than infinity.
Must remember to look for this program on iPlayer, but some of the OU videos (available on iTunes for free) are much more interesting (and they've updated many beyond the 70's versions with kipper ties and even worse beards).
