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)

    The paradox of education is precisely this—that as one begins to become conscious one begins to examine the society in which he is being educated.
    James Baldwin (1924–1987)

    This we take it is the grand characteristic of our age. By our skill in Mechanism, it has come to pass, that in the management of external things we excel all other ages; while in whatever respects the pure moral nature, in true dignity of soul and character, we are perhaps inferior to most civilised ages.
    Thomas Carlyle (1795–1881)

    They all see you when you least suspect.
    Out flat in your p.j.’s glowering at T.V.
    or at the oven gassing the cat
    or at the Hotel 69 head to knee.
    Anne Sexton (1928–1974)