The Paradox
Consider a hypothetical hotel with countably infinitely many rooms, all of which are occupied. One might be tempted to think that the hotel would not be able to accommodate any newly arriving guests, as would be the case with a finite number of rooms.
Read more about this topic: Hilbert's Paradox Of The Grand Hotel
Famous quotes containing the word paradox:
“... it is the deserts grimness, its stillness and isolation, that bring us back to love. Here we discover the paradox of the contemplative life, that the desert of solitude can be the school where we learn to love others.”
—Kathleen Norris (b. 1947)
“To make advice agreeable, try paradox or rhyme.”
—Mason Cooley (b. 1927)