{"id":179681,"date":"2021-03-01T12:01:06","date_gmt":"2021-03-01T12:01:06","guid":{"rendered":"https:\/\/www.transcend.org\/tms\/?p=179681"},"modified":"2021-02-19T10:31:44","modified_gmt":"2021-02-19T10:31:44","slug":"the-infinite-hotel-paradox-3","status":"publish","type":"post","link":"https:\/\/www.transcend.org\/tms\/2021\/03\/the-infinite-hotel-paradox-3\/","title":{"rendered":"The Infinite Hotel Paradox"},"content":{"rendered":"<p>The Infinite Hotel, a thought experiment created by German mathematician David Hilbert, is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it&#8217;s completely booked but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert&#8217;s paradox.<\/p>\n<p style=\"text-align: center;\"><em>Enjoy your stay! <\/em><\/p>\n<p>httpv:\/\/www.youtube.com\/watch?v=Uj3_KqkI9Zo<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Infinite Hotel is a hotel with an infinite number of rooms. Easy to comprehend, right? Wrong. What if it&#8217;s completely booked, but one person wants to check in? What about 40? Or an infinitely full bus of people? Jeff Dekofsky solves these heady lodging issues using Hilbert&#8217;s paradox. Enjoy your stay!<\/p>\n","protected":false},"author":4,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47],"tags":[1716,305,308],"class_list":["post-179681","post","type-post","status-publish","format-standard","hentry","category-short-video-clips","tag-infinite-hotel-paradox","tag-mathematics","tag-philosophy"],"_links":{"self":[{"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/posts\/179681","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/users\/4"}],"replies":[{"embeddable":true,"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/comments?post=179681"}],"version-history":[{"count":0,"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/posts\/179681\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/media?parent=179681"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/categories?post=179681"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.transcend.org\/tms\/wp-json\/wp\/v2\/tags?post=179681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}