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Hilbert's infinite Hotel Paradox (/∞)
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<blockquote data-quote="imhotep" data-source="post: 26770895" data-attributes="member: 562115"><p>"No one shall drive us from the paradise which Cantor has created for us." - Hilbert</p><p></p><p>Hilbert stated another variation of the Infinite Hotel.. It's the Infinite Dance Party - where all the gentlemen have asked the ladies to dance. A new lady enters, but the organizer of the dance can easily arrange that she will not be without a partner. It is even possible to get space for an infinite number of new guests, respectively ladies... ie partners for an infinite number of new ladies on the dance floor.</p><p>These illustrate the differences between finite and infinite countable sets.</p></blockquote><p></p>
[QUOTE="imhotep, post: 26770895, member: 562115"] "No one shall drive us from the paradise which Cantor has created for us." - Hilbert Hilbert stated another variation of the Infinite Hotel.. It's the Infinite Dance Party - where all the gentlemen have asked the ladies to dance. A new lady enters, but the organizer of the dance can easily arrange that she will not be without a partner. It is even possible to get space for an infinite number of new guests, respectively ladies... ie partners for an infinite number of new ladies on the dance floor. These illustrate the differences between finite and infinite countable sets. [/QUOTE]
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Hathara warak wissa keeyada? (Hathara wadi karanna 20)
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