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)

    The allurement that women hold out to men is precisely the allurement that Cape Hatteras holds out to sailors: they are enormously dangerous and hence enormously fascinating. To the average man, doomed to some banal drudgery all his life long, they offer the only grand hazard that he ever encounters. Take them away, and his existence would be as flat and secure as that of a moo-cow.
    —H.L. (Henry Lewis)

    Consider his life which was valueless
    In terms of employment, hotel ledgers, news files.
    Consider. One bullet in ten thousand kills a man.
    Ask. Was so much expenditure justified
    On the death of one so young and so silly
    Lying under the olive tree, O world, O death?
    Stephen Spender (1909–1995)