Hilbert's paradox of the Grand Hotel
Hilbert's paradox of the Grand Hotel (colloquially the Infinite Hotel Paradox or Hilbert's Hotel) is a thought experiment which illustrates a counterintuitive property of infinite sets. It shows 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 1924–1925 lecture "Über das Unendliche", and was popularized through George Gamow's 1947 book One Two Three... Infinity.
Hilbert's paradox of the Grand Hotel - Wikipedia Jump to content From Wikipedia, the free encyclopedia Thought experiment of infinite sets This article includes a list of general references but lacks corresponding inline citations . Please help improve this article by introducing more precise citations. ( January 2024 ) ( Learn how and when to remove this message ) Hilbert's paradox of the Grand Hotel (colloquially the Infinite Hotel Paradox or Hilbert's Hotel ) is a thought experiment which illustrates a counterintuitive property of infinite sets . It shows that a fully occupied hotel with in
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