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:

    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)

    ... 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.
    Kathleen Norris (b. 1947)

    One of my playmates, who was apprenticed to a printer, and was somewhat of a wag, asked his master one afternoon if he might go a-fishing, and his master consented. He was gone three months. When he came back, he said that he had been to the Grand Banks, and went to setting type again as if only an afternoon had intervened.
    Henry David Thoreau (1817–1862)

    Clean the spittoons.
    The steam in hotel kitchens,
    And the smoke in hotel lobbies,
    And the slime in hotel spittoons:
    Part of my life.
    Langston Hughes (1902–1967)