Weekly Wikipedia Find: Hilbert's paradox of the Grand Hotel

Woot! Woot! We're taking it back! Woot! Zoot! That's right, kiddies! It's throwback Wednesday-- throwing it back to paradoxes! Zing! Zam! Ziff! Paradox throwback!

This is the story of David Hilbert and his paradox, a German mathematician and a set of infinite sets, and a set of mismatched subjects.

It is the story of the Grand Hotel, a story of a Grand hotel with finite rooms, and a grand story of a hotel with infinite rooms. It illustrates what we must remember and what we must remember is that "every room is occupied" and "no more guests can be accomodated" are different concepts illustrated by different phrases and are not analogous nor equivalent.

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