Re: 0.99999... still =/= 1

From: S. Enterprize Company (smart1234_at_aol.com)
Date: 01/04/05 

Date: 04 Jan 2005 07:29:36 GMT

>On 30 Dec 2004, robert j. kolker wrote:
>>
>>
>>Geert-Jan Uytdewilligen wrote:
>>
>>> I always thought 0.99999=1 is true since
>>> sum(0,9*10^(-i),i=0..infinity) =
>>> 0,9*sum(1/10^(i),i=0..infinity) =
>>> 0,9*1/(1-1/10) =
>>> 1
>>
>>You have it right (I think). The abominable notation 0.999... stands for
>>an infinite series whose partial sums converge to 1. Of course
>>SEnteprise who started this thread shifted to the hyperreals, which is a
>>totally different matter. SEnterprise
>>
>>1. Does not know what a limit is.
>>
>>2. Does not know what convergence is.
>>
>>3. Has no idea whatsoever how the real number system is contructed from
>>the rationals (there are several equivalent ways).
>>
>>4. Is totally unaware the the reals are an Archimedean field and there
>>are no infinitesimal reals (there are infinitesimal hyperreals however).
>>
>>5. conflates surreals with hyperreals.
>>
>>6. Is an incompetent and a fraud in matters of mathemtics and physics.
>>
>>Bob Kolker
>
>Mr. Kolker,
>
>Your points, while they accomplish their intended purpose, would have
>had a much greater impact if you had only left out point 6.
>
>- MO
>

   Well, it seems like Professor of Math Escultera would know more about this
than him anyway. I happen to agree with Prof. Escultera. But I do agree with
you about point 6.

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