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

mimus wrote:

> On Mon, 05 May 2008 05:17:50 -0700, Jim Langston wrote:
> 
>> 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. 
> 
> What if it was N-water and an N+1-floor?

Mr. Jim Langston's argument is moot.  He's basically complaining about
elbow 
room.
-- 
Tim Weaver

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