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 paradox, grand and/or hotel:
“To make advice agreeable, try paradox or rhyme.”
—Mason Cooley (b. 1927)
“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)
“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)