Re: I Think I Just Broke a Glass into an Infinite Number of Pieces

Tim Weaver wrote:
> mimus wrote:
>
>> On Sat, 03 May 2008 21:33:59 -0500, Tim Weaver wrote:
>>
>>> mimus wrote:
>>>
>>>> At least, I swept up at least twice as much glass as could
>>>> possibly have been in the original.
>>>>
>>>> And that's only possible if you do an infinite decomposition of the
>>>> object, as exemplified by the Tarski-Banach ball.
>>>>
>>>> Maybe this is a sign I should mop my kitchen-floor.
>>>>
>>>> Will I need an infinite mop?
>>>
>>> Yes, if you have a mobius shaped floor.
>>
>> Mobius strips are usually finite.
>>
>> Just unbounded.
>>
>> Neener.
>
> By the time you get back to where you started, it's dirty again.
> Infinite mopping.  Of course, you could try to find a mop that mops
> an infinite area in one go.

Yes, but then you'd need an infinite amount of water to mop the infinite 
amount of floor, and since an infinite amount of water would take up an 
infinite amount of space there'd be no room for the floor to begin with.

-- 
Jim Langston
tazmaster@[EMAIL PROTECTED]