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Topic: If you claim 0.999... is a rational number, then you must find
p/q such that 0.999... = p/q. 12/26/2017

Replies: 40   Last Post: Jan 4, 2018 7:37 AM

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 Karl-Olav Nyberg Posts: 1,575 Registered: 12/6/04
Re: If you claim 0.999... is a rational number, then you must find
p/q such that 0.999... = p/q. 12/26/2017

Posted: Dec 28, 2017 3:09 PM

torsdag 28. desember 2017 08.28.04 UTC+1 skrev WM følgende:
> Am Donnerstag, 28. Dezember 2017 01:57:44 UTC+1 schrieb konyberg:
> > tirsdag 26. desember 2017 16.14.04 UTC+1 skrev John Gabriel følgende:
> > > Any rational number can be represented in the form p/q with both p and q integers and of course q not 0. All, but one! That is, 0.999... cannot be represented as p/q, unless it is assumed from the beginning that 0.999... and 1 are the same.
> > >
> > > Naturally, 0.999... is an ill-formed concept, just as is 0.333... or anything with an ellipsis following it. These ideas were the sick brainchild of idiot Dutchmen almost 400 years ago. Spurred on by Newton's Blond moments (https://www.youtube.com/watch?v=rSEN3PsiBcI) and oblivious to the fact that multiplication does not distribute over infinite series (https://www.youtube.com/watch?v=sAdtI4MIotg), the idiot Dutchman Stevin published his crap on decimals. Not all bad, but the idea was to enable one to do arithmetic without any knowledge of fractions. A lofty goal until the 20th century where students don't even care to learn methods such as long division, etc. The calculator now does all this and they've gotten significantly dumber.
> > >
> > > Anyhow, the moron academics of the BIG STUPID cannot find a p/q, such that p/q = 0.999...
> > >
> > > Of course 0.999... is not a number of any kind, but the primates of the BIG STUPID haven't realised this.
> > >
> > > An interesting approach is the fraction n/(n+1) from which it is impossible to arrive at 0.999... no matter how large an n is chosen.
> > >
> > > Ill-formed concepts (especially those derived from the infinity delusion) simply give rise to more ill-formed concepts.
> > >
> > > For a quick debunking of all the so-called proofs:
> > >
> > >
> > > For a mammoth discussion (50 pages) with musings, magic, etc:
> > >

> >
> > This is not a proof as such, but it's a reasonable construction.
> > 1 = 9/9 = 1/9 + 8/9 = 0.111... + 0.888... = 0.999...
> > Show me what's wrong with this.

>
> This is wrong: 1/9 + 8/9 = 0.111... + 0.888...
>
> Correct would be 1/9 + 8/9 = lim{n-->oo} 0.111...1_n + lim{n-->oo} 0.888...8_n
>
> Regards, WM

Does it change the result?
KON