dilberts hotel

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killing raven sun
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dilberts hotel

Post by killing raven sun » Fri Dec 28, 2018 10:39 am

a hotel with infinite rooms that is fully booked cannot accept more guests because it is infinitely occupied

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melkobukva
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Re: dilberts hotel

Post by melkobukva » Fri Dec 28, 2018 10:59 am

temporarily remove guests from rooms with even numbers
now you have infinitely many spare rooms
settle the removed guests in rooms with numbers that are powers of 2
now you have all the former guests settled AND infinitely many spare rooms

killing raven sun
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Re: dilberts hotel

Post by killing raven sun » Fri Dec 28, 2018 11:06 am

melkobukva wrote:
Fri Dec 28, 2018 10:59 am
temporarily remove guests from rooms with even numbers
now you have infinitely many spare rooms
you also have displaced an infinite number of guests ;)
melkobukva wrote:
Fri Dec 28, 2018 10:59 am
settle the removed guests in rooms with numbers that are powers of 2
cant, more than one infinity causes infinite loop, can never settle them all in
melkobukva wrote:
Fri Dec 28, 2018 10:59 am
now you have all the former guests settled AND infinitely many spare rooms
we never get this far, stuck above

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xdugef
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Re: dilberts hotel

Post by xdugef » Fri Dec 28, 2018 11:07 am

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timdrage
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Re: dilberts hotel

Post by timdrage » Fri Dec 28, 2018 12:49 pm

Harsh Noise Wally's hotel

killing raven sun
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Re: dilberts hotel

Post by killing raven sun » Fri Dec 28, 2018 1:32 pm

anyway, the premise implies infinity plus one, which of course is meaningless, where did this roomless guest come from btw?

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melkobukva
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Re: dilberts hotel

Post by melkobukva » Fri Dec 28, 2018 3:35 pm

killing raven sun wrote:
Fri Dec 28, 2018 1:32 pm
where did this roomless guest come from btw?
why, from the hotel itself
if you remove just one guest, there would still be infinitely many left, i.e. you'd still have a fully booked infinite hotel

killing raven sun
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Re: dilberts hotel

Post by killing raven sun » Fri Dec 28, 2018 3:42 pm

melkobukva wrote:
Fri Dec 28, 2018 3:35 pm
killing raven sun wrote:
Fri Dec 28, 2018 1:32 pm
where did this roomless guest come from btw?
why, from the hotel itself
if you remove just one guest, there would still be infinitely many left, i.e. you'd still have a fully booked infinite hotel
so infinity minus one is infinity? does that mean something to you?

in any case, there are no rooms available, when you begin moving infinites you become a transport mechanism and cease being a hotel, forever

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Sleep Of Ages
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Re: dilberts hotel

Post by Sleep Of Ages » Fri Dec 28, 2018 4:19 pm

Put a "No Vacancy" sign at the front then.

killing raven sun
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Re: dilberts hotel

Post by killing raven sun » Fri Dec 28, 2018 4:41 pm

think of it this way

i = i-1 clearly doesnt work

similarly, if you have two infinites and you remove an element from one of them, that set is no longer infinite, and conversely if you add one to one set the other becomes deficient and is no longer infinite

so it follows, if a set can be altered it is not infinite, if you can add one then it wasnt infinite and cannot attain infinite status by the addition of anything less than infinity, conversely if a set can have an element removed then it never was infinite as infinity cannot be diminished

therefore infinity is a set of one infinity

killing raven sun
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Re: dilberts hotel

Post by killing raven sun » Fri Dec 28, 2018 4:49 pm

Sleep Of Ages wrote:
Fri Dec 28, 2018 4:19 pm
Put a "No Vacancy" sign at the front then.
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Sleep Of Ages
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Re: dilberts hotel

Post by Sleep Of Ages » Fri Dec 28, 2018 4:56 pm

killing raven sun wrote:
Fri Dec 28, 2018 4:49 pm
Sleep Of Ages wrote:
Fri Dec 28, 2018 4:19 pm
Put a "No Vacancy" sign at the front then.
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It's you that don't seem to know how a Hotel operates, mister.

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Sleep Of Ages
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Re: dilberts hotel

Post by Sleep Of Ages » Fri Dec 28, 2018 4:58 pm

What is the problem in having a Hotel that is fully booked? That's not a problem at all, that's the ultimate goal of the business.

killing raven sun
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Re: dilberts hotel

Post by killing raven sun » Fri Dec 28, 2018 5:12 pm

firstly, with infinite rooms we gonna need a whole lot of migrant workers

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melkobukva
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Re: dilberts hotel

Post by melkobukva » Fri Dec 28, 2018 6:31 pm

killing raven sun wrote:
Fri Dec 28, 2018 3:42 pm
so infinity minus one is infinity?
otherwise the only difference between an infinite pizza and a regular one would be one extra slice

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