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)
“There aren’t any good, brave causes left. If the big bang does come, and we all get killed off, it won’t be in aid of the old-fashioned grand design. It’ll just be for the Brave New-nothing-very-much-thank-you. About as pointless and inglorious as stepping in front of a bus. No, there’s nothing left for it, me boy, but to let yourself be butchered by the women.”
—John Osborne (1929–1994)
“In soliciting donations from his flock, a preacher may promise eternal life in a celestial city whose streets are paved with gold, and that’s none of the law’s business. But if he promises an annual free stay in a luxury hotel on Earth, he’d better have the rooms available.”
—Unknown. Charlotte Observer (October 6, 1989)