IF THERE ARE INFINITE ROOMS & EACH IS ALREADY FILLED, YOU CAN'T JUST ADD ANOTHER OR TWO OR INFINITE GUESTS INTO THE HOTEL! IN HILBERT'S HOTEL YOU CAN SIMPLY ASK EVERY ONE TO SHIFT 1 ROOM OVER FOR EACH NEW ARRIVAL UP TO & EXCEEDING INFINITY! YOU ARE A GREEZY PROSTITUTE! THE ROOM TO THE SO-CALLED 'RIGHT' THE FARTHEST GUEST WOULD END UP IN WAS/IS ALREADY COVERED BY INFINITY! THERE IS NO FARTHEST GUEST, INFINITY SUPERSEDES QUANTITY! ANY AMOUNT YOU ADD FITS! SOME GREEZY PROSTITUTES ALSO JUST SO HAPPEN TO BE SAINTS!