Release Message: If a hotel with infinitely many rooms is full, it can still take in more guests. Authored by David Hilbert.
Description: Hilbert's paradox of the Grand Hotel is a veridical paradox (a valid argument with a seemingly absurd conclusion, as opposed to a falsidical paradox, which is a seemingly valid demonstration of an actual contradiction) about infinite sets presented by David Hilbert in the 1920s, meant to illustrate certain counterintuitive properties of infinite sets. Consider a hypothetical hotel with a countably infinite number of 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. (infinity)