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)
“It is a grand thing to rise in the world. The ambition to do so is the very salt of the earth. It is the parent of all enterprise, and the cause of all improvement.”
—Anthony Trollope (1815–1882)
“...what a thing it is to lie there all day in the fine breeze, with the pine needles dropping on one, only to return to the hotel at night so hungry that the dinner, however homely, is a fete, and the menu finer reading than the best poetry in the world! Yet we are to leave all this for the glare and blaze of Nice and Monte Carlo; which is proof enough that one cannot become really acclimated to happiness.”
—Willa Cather (1876–1947)