Re: infinity
- From: stephen@xxxxxxxxxx
- Date: Tue, 16 Aug 2005 02:33:23 +0000 (UTC)
Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
> stephen@xxxxxxxxxx said:
>> Tony Orlow (aeo6) <aeo6@xxxxxxxxxxx> wrote:
>> > Randy Poe said:
>> >>
>> >> Tony Orlow (aeo6) wrote:
>> >> > because you claim there were balls in the vase, and then it became empty, and
>> >> > you are only removing 1 ball at a time, so there MUST have been a last ball
>> >> > removed. However, you cannot name that last ball removed, since there is always
>> >> > another to remove. If you DID name that last ball removed, the I can name 9
>> >> > times as many as have been removed that have not been removed. Don't you feel
>> >> > like you are trying so sail a big sponge across the sea? Do you wonder why it's
>> >> > such a drag?
>> >>
>> >> Can you name the last point between 0 and 1 which is less than 1?
>> >>
>> >> - Randy
>> >>
>> >>
>> > Binary 0.111...111
>> > Decimal 0.999...999
>>
>> What is (0.999...999+1)/2? Is it between 0.999...999 and 1?
>> Or is it undefined?
>>
>> Stephen
>>
> 000...000:000...000.999...999:500...000. Very good. You got half an
> infinitesimal out of me! ;D
> --
> Smiles,
> Tony
Is it between 0.999...999 and 1? If so, then 0.999...999 is
not the last point between 0 and 1 which is less than 1.
If it is not between 0.999.999 and 1, then where is it?
You are going to have to redo a lot of basic arithmetic
as x<y -> x < (x+y)/2 < y is a direct consequence of basic
arithmetic.
Stephen
.
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