![]() "Consider a hypothetical hotel with a countably infinite number of rooms, all of which are occupied. ![]() ![]() The idea was introduced by David Hilbert in a 1924." It is demonstrated that a fully occupied hotel with infinitely many rooms may still accommodate additional guests, even infinitely many of them, and that this process may be repeated infinitely often. "Hilbert's paradox of the Grand Hotel is a thought experiment which illustrates a counterintuitive property of infinite sets. ![]()
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