Hilbert's paradox of the Grand Hotel
id:
hilbert-s-paradox-of-the-grand-hotel-173-2795737
title:
Hilbert's paradox of the Grand Hotel
text:
Hilbert's paradox of the Grand Hotel is a thought experiment which illustrates a counterintuitive property of infinite sets. It is demonstrated that a fully occupied hotel with infinitely many rooms may still accommodate additional guests, even infinitely many of them, and this process may be repeated infinitely often. The idea was introduced by David Hilbert in a 1925 lecture "Über das Unendliche", reprinted in, and was popularized through George Gamow's 1947 book One Two Three... Infinity.
brand slug:
wiki
category slug:
encyclopedia
description:
Thought experiment of infinite sets
original url:
https://en.wikipedia.org/wiki/Hilbert%27s_paradox_of_the_Grand_Hotel
date created:
2002-02-05T09:11:52Z
date modified:
2024-09-02T06:29:23Z
main entity:
{"identifier":"Q828646","url":"https://www.wikidata.org/entity/Q828646"}
image:
fields total:
13
integrity:
15