Back مفارقة فندق هيلبرت Arabic Hotel infinit Catalan Hilberts hotel Danish Hilberts Hotel German Hotelo de Hilbert Esperanto El hotel infinito de Hilbert Spanish Hilberten Hotel infinitua Basque تناقض هتل بزرگ هیلبرت Persian Hilbertin hotelli Finnish Hôtel de Hilbert French
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Hilbert's paradox of the Grand Hotel (colloquial: Infinite Hotel Paradox or Hilbert's 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 (Hilbert 2013, p.730), and was popularized through George Gamow's 1947 book One Two Three... Infinity.[1][2]
- ^ Kragh, Helge (2014). "The True (?) Story of Hilbert's Infinite Hotel". arXiv:1403.0059 [physics.hist-ph].
- ^ Gamow, George (1947). One Two Three... Infinity: Facts and Speculations of Science. New York: Viking Press. p. 17.
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