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:
“The conclusion suggested by these arguments might be called the paradox of theorizing. It asserts that if the terms and the general principles of a scientific theory serve their purpose, i. e., if they establish the definite connections among observable phenomena, then they can be dispensed with since any chain of laws and interpretive statements establishing such a connection should then be replaceable by a law which directly links observational antecedents to observational consequents.”
—C.G. (Carl Gustav)
“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)
“I’ve always thought a hotel ought to offer optional small animals.... I mean a cat to sleep on your bed at night, or a dog of some kind to act pleased when you come in. You ever notice how a hotel room feels so lifeless?”
—Anne Tyler (b. 1941)