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)
“A garden has this advantage, that it makes it indifferent where you live. A well-laid garden makes the face of the country of no account; let that be low or high, grand or mean, you have made a beautiful abode worthy of man.”
—Ralph Waldo Emerson (1803–1882)
“A writer is in danger of allowing his talent to dull who lets more than a year go past without finding himself in his rightful place of composition, the small single unluxurious “retreat” of the twentieth century, the hotel bedroom.”
—Cyril Connolly (1903–1974)