• Sukhwinder Singh

Hilbert’s grand hotel demonstrates the meaning of words like “full” or “exhaustive” in case of infinite sets. Hilbert used it as an example to show that infinity does not behave in the same way as regular numbers do. This paradox helps to explain the most important property of infinite sets i.e. an infinite set is equivalent to one of its proper subsets. In addition to the explanation of Hilbert’s paradox of grand hotel, this paper presents an alternative way of shifting the guests when infinite number of new guests arrive in a completely filled hotel having infinite number of rooms.

Infinity, Hilbert’s grand hotel, paradox.

"Alternative Way of Shifting Guests in Hilbert's Hotel", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 6, page no.218-220, September-2019, Available :http://www.jetir.org/papers/JETIR1907A56.pdf

"Alternative Way of Shifting Guests in Hilbert's Hotel", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 6, page no. pp218-220, September-2019, Available at : http://www.jetir.org/papers/JETIR1907A56.pdf