Virgil
Posts:
8,833
Registered:
1/6/11


Re: The selfcontradictory infinite hotel
Posted:
Feb 23, 2014 4:10 PM


In article <ledb78$4c1$1@dontemail.me>, "Julio Di Egidio" <julio@diegidio.name> wrote:
> "Julio Di Egidio" <julio@diegidio.name> wrote in message > news:ledaon$1f2$1@dontemail.me... > > > > slightly more rigorously, if we have 1, 2, 3, etc. up to (allegedly) *all* > > natural numbers, there is just no natural number missing that we can add > > to the lot. > > If, for all n, room n+1 is occupied already, the hotel is just full and no > more guests can be accommodated.
But, according to the above, you have not necessarily even filled room 1 ! 

