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

Famous quotes containing the words grand hotel, paradox, grand and/or hotel:

    Grand Hotel. Always the same. People come. People go. Nothing ever happens.
    William A. Drake (1900–1965)

    ... it is the desert’s 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.
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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.
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    When
    Sir
    Beelzebub called for his syllabub in the hotel in Hell
    Where Proserpine first fell,
    Dame Edith Sitwell (1887–1964)