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← Mathematics: stupid and clever questions for people who understand

Teknical's Avatar Jump to comment 53 by Teknical

Thanks epeeist and mmurray for your replies.

The Grand hotel problem confuses the hell out of me. To me, if you can fit an extra guest in the hotel it must have had either infinite guests minus 1 to start with, or infinite rooms plus 1 to accomodate the extra guest.

Which both pose the problem (to me) that there were neither infinite guests nor infinite rooms at the start. Even if the guest arrived with a room to add on to the hotel I still get infinity plus 1, but that number is infinity already isn't it?

Sat, 02 Jun 2012 12:01:52 UTC | #945185