Hilbert's Paradox of The Grand Hotel

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 German mathematician David Hilbert (1862–1943) in the 1920s, meant to illustrate certain counterintuitive properties of infinite sets.

Read more about Hilbert's Paradox Of The Grand Hotel:  The Paradox, Analysis, The Grand Hotel Cigar Mystery, References in Fiction

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    What do you do in the Grand Hotel? Eat, sleep, loaf around, flirt a little, dance a little. A hundred doors leading to one hall. No one knows anything about the person next to them. And when you leave, someone occupies your room, lies in your bed. That’s the end.
    William A. Drake (1900–1965)

    To make advice agreeable, try paradox or rhyme.
    Mason Cooley (b. 1927)

    Democracy is the menopause of Western society, the Grand Climacteric of the body social. Fascism is its middle-aged lust.
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    In soliciting donations from his flock, a preacher may promise eternal life in a celestial city whose streets are paved with gold, and that’s none of the law’s business. But if he promises an annual free stay in a luxury hotel on Earth, he’d better have the rooms available.
    Unknown. Charlotte Observer (October 6, 1989)